diff --git "a/data/dm_maths/full_data/10750_11255.jsonl" "b/data/dm_maths/full_data/10750_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10750_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the tens digit of 3358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 2*d + 2. Let r(z) = -5*z**2 + 5*z + 6. Let q = 32 + -7. Suppose -4*g - g = -q. Suppose 28 + 12 = -g*o. Give o*b(f) + 3*r(f).\nAnswer: f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -20 (c) 20 (d) 5 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvnat. What is prob of picking 1 n and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*b + 56*b - 120*b - 86*b.\nAnswer: -276*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 11 - 4 - (-22 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023427861 to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-138)\/(-1196)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356576991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 24*m - 36*m + 48*m + 11*m + m - 2*m**2.\nAnswer: -2*m**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f + 9. Suppose -6 - 6 = -3*h. Let z(c) = -c - h + 2 - 2*c + 4*c. Determine -2*o(y) - 9*z(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.394 and 34?\nAnswer: -13.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2537369*l - 3*l**2 + 2539611*l - 5076980*l - 8*l**2.\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110cd (base 14) to base 12.\nAnswer: 1bb11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30474.4 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 703151 to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose d*v - 38 = -2. Let c(f) = 2*f**2 + 5*f - 3. What is the least common multiple of c(-5) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 2*m - 1. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 79. Suppose 3*r + 2*r - k = 0. Determine z, given that -16*z + 2*z**2 + r*z**3 + 16 + z**2 - 8*z**3 - 7*z**2 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - (-5 + (4 - 1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 - b**4 + ((-2 + 2 + 2*b**2)*(0 + 1 - 2) + 2 - 2*b**2 - 2 - b**2 + 2*b**2 - 3*b**2)*(-b + b + 3*b**2).\nAnswer: -19*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247937649.\nAnswer: 7, 17, 10486871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(73984\/(-1020))\/32?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.583 (b) 0 (c) -1\/7 (d) -6 (e) -4 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1829)\/(-885))\/(-3 - (-48)\/9) - (2 - 1)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13102022 - 10?\nAnswer: 13102012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 258550637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/120 + 1\/3\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, y: 4, o: 4}. Give prob of sequence yyoy.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - (-176)\/40. Suppose -14 - 14 = -u - n*o, -u = -2*o - 16. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7396 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -10*f**3 - 2*f**2 + 2*f - 6. Let p = 105 + -108. Let g be d(p). Suppose 55*w = 52*w + g. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**2 - 2310414*i - 1540272 = 0. Calculate i.\nAnswer: -256712, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Suppose 3*s - r*c - c = 96, -4*s + 4*c + 132 = 0. What is the remainder when 13 is divided by 8\/s + (-122)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 863, 2314, 4737, 8132, 12499?\nAnswer: 17838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01559 + -0.11559. Let g = 17\/16 + -613\/592. Let w = -2.95 - 0.05. What is the nearest to -1 in w, x, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y - 132*y = 64*y - 10518060. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3634 + 72699\/20. Find the common denominator of z and (18\/40)\/(4\/(-70)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 882*s*y**2 - 2*s - 2052*y wrt y.\nAnswer: 1764*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 - 4 = 0. Suppose 2*v + 10 = s*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**3 + 50*g. Let m(d) = -7*d**2. Calculate x(m(c)).\nAnswer: 42*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**5\/60 + 3*u**4\/8 + 59*u**3\/3 + u**2 + 16*u. Let d be r(16). Let i(w) = w - 11. What is i(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 960 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/40*-18*12\/54?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.206713 rounded to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 - -235 - (-67 - -6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, -306, -658, -1024, -1410?\n\"Answer: -k**3 + 2*k**2 - 343*k + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680035 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1280362 or -1280364?\nAnswer: -1280364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 9*x + 22. Is 25 a factor of b(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 7*u**2 + 11*u - 11. Let l be o(-10). Let q = l - 179. Which is the closest to -2\/5? (a) 1\/2 (b) -1\/4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 111 = -15. Calculate the remainder when v is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/24134 and -109\/6582.\nAnswer: 72402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.177581 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from oooboppoobo?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -7 (b) -9 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) 3\/7 (c) 27 (d) -420 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from podiooiuiooioiuii?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (713\/(-6))\/(77372\/(-40368))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13679 times -0.0061?\nAnswer: -83.4419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 10:25 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/13)*i)\/(i\/(i*i**8)))**(-13\/2))**(-4\/5) assuming i is positive.\nAnswer: i**(236\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 8*t**2 + t + 4. Let b(c) = -6*c**3 - 22*c**2 + 4*c + 11. Calculate 4*b(q) - 11*z(q).\nAnswer: -2*q**3 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-962)\/(-99567))\/((-12)\/46)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8*u - 22. Let q be d(4). What is the derivative of -2*z**3 - q - 3*z**3 - 7 + 8*z**3 wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1844*w**3 + 918*w**3 + 928*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51960112*j*o - o - 4217577 wrt j?\nAnswer: -51960112*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -644\/5 (b) -8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173 and 75947?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by -651173.\nAnswer: -405\/651173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1002896384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3561? (a) -13 (b) 4 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = i + g - 15, i = -3*g + 27. Let s be ((-81)\/i)\/((-3)\/48). Suppose 0 = -0*t + 6*t - s. Calculate the remainder when 56 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100404040 (base 5) to base 16.\nAnswer: -628bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*h - 5*x - 6, h - 3 = 2*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 2) + 16 - (-1 + 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhfhaddh. What is prob of picking 1 a and 1 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -16. Let y = u - 19. Which is the closest to y? (a) 1\/3 (b) -11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10 + 2 - 3. Let j(h) = h - 15. Let y be j(13). Which is the closest to g? (a) 3 (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 283696.8 litres to millilitres.\nAnswer: 283696800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g - 8 + 9 + 27. Let h be j(3). Is h\/(48\/18) - -416 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/(-4) + (-1)\/4. Let h = -18\/7 - -61\/21. Let y = 4\/9 - h. Which is the third smallest value? (a) -2 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4 - s. Let p(f) = 138 + 2*f**2 - 66 - 5*f**2 - 72. What is w(p(t))?\nAnswer: -108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2) - (-5)\/(-2). Calculate the least common multiple of (-3)\/g - 18\/(-8) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135, -143, -163, -201, -263, -355, -483, -653?\n\"Answer: -k**3 - k - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/7 (b) -2\/25 (c) 6\/5 (d) 2 (e) -200 (f) 1\/3 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1616914.2 months to decades.\nAnswer: 13474.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -764.5 + 762.4345. What is n rounded to 2 decimal places?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1135988505 and -0.3?\nAnswer: 1135988505.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.21904mg in grams?\nAnswer: 0.03721904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-2415)\/7)*(-6)\/(-11)*5.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36161501*z**3 + 23415948*z**2.\nAnswer: 216969006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 220457.\nAnswer: 2865941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, 0.58, -3\/7.\nAnswer: -5, -3\/7, 0.1, 0.58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 698*w**3 + 11*w**2 + 271*w - 2109. Is z(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.3. Let o be (-181)\/(-132) - 6\/9. Let w = -5\/11 + o. Which is the closest to -2? (a) w (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**2 - 3*n**2 + 3*n**2 + (0*n + 4*n - 3*n)*(n - 5*n - 3*n) to k*n**2 + x + j*n and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**3 + 19719*p**2 - 32314329*p - 292428387 = 0.\nAnswer: -9, 3291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 70*d - 20245 + 20233 - 141*d + 72*d. Suppose 18 = c + 6. What is w(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 + -0.5. Let u be (-2)\/6 + (-13)\/(-12). Let s(q) = -q - 8. Let w be s(-3). Which is the second smallest value? (a) u (b) w (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2. Let b(p) be the third derivative of 7*p**6\/360 + p**3\/3 - p**2. Let t(d) be the first derivative of b(d). Determine t(x(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:58 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 706542, 1414070, 2121596, 2829120, 3536642, 4244162?\n\"Answer: -t**2 + 707531*t - 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 7 = 3*x. Let m = 82 - x. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/(-70)*(-10)\/(-4) and 3\/234 + -6 + 5 + (-60)\/(-52).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -949458*r**3 + 12*r**2 - 2*r - 17573 wrt r.\nAnswer: -5696748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-153)\/(-34)*(108\/(-72) - 6\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 2. Let r be (-1 + k)\/(6\/(-14)). Let l be (4\/(-6))\/((-2)\/12). Solve -l*u - r = 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/14 - (-1 - 195\/(-35)). Let t(c) = -c**3 - 2*c**2 + c + 9. Let a be t(o). Is 37 != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let u be 20\/9 + (-4)\/18. Let x be u\/4 + 14\/4. Solve x = p, 0 = -h*g + 5*p - 11 - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 times -5.8?\nAnswer: 1531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 13, a: 3}. What is prob of sequence ayya?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 8 + 28*a - 25*a as g*a + m and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2962880 divided by -8?\nAnswer: 370360","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 528*l**3*z**2 + 471*z**2 with respect to l.\nAnswer: 1584*l**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 15. Let o = -15 - g. Which is the nearest to o? (a) 3\/7 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -30. Find the common denominator of -73\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -369, -763, -1149, -1521, -1873?\n\"Answer: l**3 - 2*l**2 - 395*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + a - 1. Let p be i(1). Suppose -23 = p*w - 8. Let n = 11 + w. Let c(l) = l - 5. What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*-5*-2. Let y = -0.03 - 0.07. Let p = -2 - -4. What is the smallest value in n, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaoaaaaaaaaaaaa. What is prob of sequence aaoa?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24435 is divided by 906?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - w - 75 = 0, s + 2*w + 70 = 5*s. Calculate the smallest common multiple of s and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 17*o + 300. Let n(p) = -p**2 + p. Let a be n(2). Let w be 7\/2 + (-3)\/a. Solve -15 = v + 2*v - 3*f, w*v - o = -5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131081557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 112. Let d(u) = -507*u. What is s(d(v))?\nAnswer: 507*v + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71506 is divided by 149?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/69 (c) 1724 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 30044424?\nAnswer: 30044414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + 1. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/(-2*(-1)\/5752) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*t**3 + 123*t**3 - 3 - 244*t**3 + 3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010222 (base 3) in base 2?\nAnswer: 10011011011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-2) - 1)*2. Suppose z = -2*d - 8, y*z = z + d + 13. Suppose -z*g - 151 = -389. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8.1, 1\/6, -5, -2.9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 5*j - 30, 3*m - j = 166 - 156 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94076, 94214, 94444, 94766, 95180, 95686?\nAnswer: 96284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3 - -4)\/(-1))\/(-1). Let d = -1 + -2. Put i, d, 4 in descending order.\nAnswer: 4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/726 and 56\/9669.\nAnswer: 212718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.088 + -2.088. What is the nearest to 2 in 0, o, -5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyyz when four letters picked without replacement from {z: 4, y: 2, i: 5, o: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*b + 335 - 335 to the form i + g*b and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 23*y - 70. List the prime factors of 337 + (y - 7) - (-1 - 0).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - 8\/10. Let i = -279.5 - -310. Let g = i - 30.6. What is the nearest to -0.1 in m, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 100 (c) 0.5 (d) 51\/22 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2383 and 76\/35745.\nAnswer: 35745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -3. Suppose -3*m + 12313 = r*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 9:00 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/5 - 84\/(-15). Suppose z - l + 1 = 0, 2*z - 18 = -3*l + 5. Suppose 0 = -w + b - r*b + 6, z*w - 24 = b. Solve 12 = -w*i + 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2470905.\nAnswer: 3, 5, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91196402 divided by -8290582.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 268633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**16*x**11*x**(1\/2)*x\/(x**0\/x))**(-39) assuming x is positive.\nAnswer: x**(-2301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 12*a + 5*t - 10 = 0, a - t + 6 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 7*t - 12. Let m be b(-2). Let s be (792\/21)\/(m\/(-70)). What is the highest common divisor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j = 5*p - 6, 3*j - p = 6. Let a = 7 - j. Suppose -w + 22 = -0*c - c, -a*c = 5. Solve 5*n - 6 = -w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*x**2 - 7*x**2 + 5 + 3 - 8*x**2 wrt x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -8. Suppose b + u = -0*b. Let x = b + 16. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1104 = 2*t - 1150. Which is greater: -8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121522955 to the nearest integer?\nAnswer: 11024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*m - 28. Calculate the smallest common multiple of m and ((-4)\/(-8))\/((-3)\/(-54)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2453 - 2446.228. Let w = -6.81291 + x. What is w rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -297.3 - -332.3. Put -0.5, -2, -3, p, 0.1 in descending order.\nAnswer: p, 0.1, -0.5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 51*m - 238. Let j be d(5). Let t = 2167\/7 - 309. Sort 0.2, j, t in descending order.\nAnswer: j, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 5.15867\nAnswer: -139.28409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 414, 630, 846, 1062, 1278?\nAnswer: 1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 11, u: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdgcd. What is prob of picking 1 c and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - 31*r + 10. Suppose 5*o + 38 = -2*q, -14*o + 13*o - 4 = 4*q. Let y be l(o). Let z(g) = -2*g. What is z(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15359 = 4*n - 52233. Let z = n + -11286. Let w = z - -388. Round w to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.151 + -0.113. Let s = -0.488 + o. Round s to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 12 = -12. Which is smaller: -4\/253 or v?\nAnswer: -4\/253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*q - 35 = 2*q - 23, -5*q = -2*m + 20 + 31 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249865 is divided by 8485?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65343.78l in millilitres?\nAnswer: 65343780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*f + 5*u - 3, 3*u - 2 = 4*f. Let t(k) = -5 - k - 4*k**3 + k**3 + 2*k**3 + 5*k**2. What is t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 10*r + 12. Let t(x) = x**3 + 11*x**2 + 9*x + 2. Let o be t(-10). Let l be k(o). Let z be -3*(-2 + (-40)\/l). Put -2, z, 0 in descending order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -16, 897\/7, -4, 3, -315, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cecpfcpcpeweeecec. What is prob of sequence fw?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-11)*(-4)\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 53*f**2 + 5*f + 34. Let k(v) = 105*v**2 + 11*v + 69. Let t(x) = 6*k(x) - 13*m(x). Differentiate t(y) wrt y.\nAnswer: -118*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. Suppose 0 = -0*l + u*l - 12. Solve 2*b + 2 = -l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.02 (c) 0.25 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 22*o = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5406*a**3 + 689*a + 689. Let j(k) be the second derivative of 47*k**5\/20 + k**3 + 3*k**2 - 106*k - 3. Determine -6*b(y) + 689*j(y).\nAnswer: -53*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 10*r**3\/3 + r + 6. Let u be g(10). Is u at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 846787, 1693881, 2540973, 3388063, 4235151, 5082237?\n\"Answer: -y**2 + 847097*y - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 606090995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, 1 x, and 1 y when four letters picked without replacement from {b: 1, y: 1, e: 2, i: 5, x: 7}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*h - 28*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 (base 8) in base 15?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 7*p - 9 - 14*p + 7*p.\nAnswer: -21*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, -11, -28, -45, -62?\n\"Answer: -17*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/5 + 22*y**2 + 2289*y\/5 + 1764 = 0.\nAnswer: -84, -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 20*z + 22. Let i(l) = -60*l - 65. Let y(v) = 8*c(v) + 3*i(v). Let f be y(12). Let a = f - -892. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10431432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 638 divide 1200773327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 15*x**2 + 305*x - 5932. Calculate n(-31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 2*i + 56 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112\/72017 or -1?\nAnswer: -112\/72017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 + -3.32. Let v = u + 3. Which is the second biggest value? (a) -0.4 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 - 3*b**4\/4 + 4*b**3\/3 - b**2\/2 + 12*b. Calculate r(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8302719l in millilitres?\nAnswer: 830.2719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h*h*h*h**(-3)*h*h*h*h)\/h)\/h)*h**(-19))**(-42))**(1\/62) assuming h is positive.\nAnswer: h**(420\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1140 or -1142?\nAnswer: -1140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q = -231636 - 239012. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2*s = 16, -2*s - 32 + 50 = -5*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 4*h = -1138, -4*y = 5*h - 894. Let i = 322 - y. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -9*a + 6 + 27\/8*a**2 = 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2613\/182 + -14 - ((-469)\/(-42) + -11)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 9:54 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8376 - 8364. What is the remainder when 7463 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*c, -2*w = -w + 4*c. Let f be 5 + (-9)\/3 - -2. Let r be (-1)\/(-6)*(1 - f). Is w < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 4*j - 8 + 0 = -3*x, 0 = 3*x - j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/20)\/(-2)*10\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44 - 23. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-80))\/((-3)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by 472.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*y + 866 - 918, -91 = 7*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.83 - -0.03. Let b = -1.1 - x. Let y = 0.1 - -0.9. What is the closest to -1 in y, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -21*g**3 + 3*g + 2. Let c be 5 + (2 + -4 - 4). Is u(c) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*t - 4*t + 104, 4 = 4*o. Calculate the remainder when 521 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1539) + -1 - sqrt(1539)))**2*-3 - (sqrt(1539) + sqrt(1539) + sqrt(1539)*-1 + 0 + 3)**2) + -3.\nAnswer: -1659 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - (-26238)\/3094. Let k = 105\/13 - w. Let d = -4.8 - -0.8. What is the third biggest value in k, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7128\/(-242) + -7 + (114\/33 - -4) + -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 139, 535, 1195, 2119, 3307, 4759, 6475?\n\"Answer: 132*s**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**2 - 229*f - 2*f**2 - 390*f + 2*f**2.\nAnswer: 3*f**2 - 619*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/41 (b) 0.3 (c) -1.496 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 203.44271 * 4.\nAnswer: 813.77084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -1405*t**4\/4 + 2304*t. Let i(k) = -k**2. Calculate i(l(w)).\nAnswer: -17766225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -53590, -111885, -174886, -242593, -315006, -392125?\n\"Answer: -2353*k**2 - 51236*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323 + 323.000006824. Round w to seven dps.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*c - 2 - 6, -s + 2 = 3*c. Sort -16, s, 0 in descending order.\nAnswer: s, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*a + 10*a**4 + 23*a + 3*a**5 + 3*a**3 - 4*a**4 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 20922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + l - 1 + (4 - 2 - 4)*(-5*l + 9*l - 24*l) - 1 - 4*l + 1 + 2*l + 0*l - l + (-2*l + 3 - 3)*(1 - 4 + 2).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:40 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*m**3 - 5*j*m + 5337036*m**4 - 2885*m wrt m.\nAnswer: 6*j*m + 64044432*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 43 (c) -5 (d) 0.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1456694783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 4*s**2 + 2. Let v(a) = 4*a - 3. Let c be v(2). Let j be p(c). Suppose -g = -19 - j. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -214 - -228. What is the least common multiple of 4 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12) - 3)\/((92\/(-2967))\/(96\/120))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -3. Let l = z + -5. Let o be (-65)\/105 - (-4)\/12. Is l greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**5 - 2212*y**4 + 31908*y**3 + 93218644*y**2 - 7171750304*y + 7078501968 = 0.\nAnswer: -386, 1, 107, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124 + -108 - (-2 + 2 + 7 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-2 - -4 - 1). Let x = -54 - m. List the prime factors of x\/(-7) - 8\/(-28).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-46))\/((-3191)\/(-954109))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r**2 - 9*r - 13. Suppose 15*n = -7*n + 132. Let q(p) = -5*p**2 + 4*p + 6. Give n*o(x) + 13*q(x).\nAnswer: -5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12119, 12113, 12107?\nAnswer: 12101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 142*g + 1272 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5\/4*x**4 + 0*x**3 + 0*x - 4 + 1\/2*x**2. What is the second derivative of o(f) wrt f?\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 4*a**2 + 5*a. Let q = -8 - -3. Let m be u(q). Suppose -5*i = 4*g - 3, 3*i + i + 4 = 0. Solve 0 = -m*k + k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -36*o - 20. Let h be 2\/(o\/(25\/5)) - -5. Sort -3, 0, h.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*r + r + 2*r)*(56 + 5*r - 56) + 2*r**2 + 1 - 1 to i*r**2 + k + o*r and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8. Let s be -1 + 0 + x + 1. Suppose d + 0*y + 17 = 5*y, s = d - 2*y + 5. Solve -b - d = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**4 + 18*g**3 + 619*g**2 + 1138*g + 560. Let s(o) = 20*o**4 - 395*o**3 - 13620*o**2 - 25030*o - 12320. Let c(j) = 45*b(j) + 2*s(j). Factor c(y).\nAnswer: -5*(y - 14)*(y + 1)**2*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/13*v + 4\/13 + 8\/13*v**2 - 2\/13*v**3.\nAnswer: -2*(v - 2)*(v - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.022, 2, 0.02 in increasing order.\nAnswer: -0.022, 0.02, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1429087?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-6)*(-5)\/15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*u - 11901 - 40110 = -5301 for u.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -11*g. Let q(x) be the first derivative of -x**3\/3 - 37*x**2 - 2768. Determine q(r(o)).\nAnswer: -121*o**2 + 814*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 + 0 + 0 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 7:51 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*b = 26 + 39, 43 = -3*t + 4*b. Let r = t - -7. Let w(g) = -4*g. Let p(i) = 5*i. Calculate r*p(u) - 3*w(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**2 + 4*g**3 + 18 - 5*g**3 + 32*g + 16*g**2. Is t(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*d*h*i - 51*d*i + d - 2*h*i + 1 wrt h.\nAnswer: 44*d*i - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**3\/3 + 7*i**2\/2 + 1. Let f = -12 - -19. Let n be m(f). Which is smaller: n or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 2, a: 1, r: 2, e: 2, y: 1}. What is prob of picking 1 a, 1 y, and 1 u?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c + 5. What is l(-4)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 4*v - 4. Let h be x(4). Let f = -7 - -5. Let o = h + f. Solve g = -g + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-1280)\/(-232))\/(-32)).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8811 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -6, -1, 8, 21, 38?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2803192307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35720 is divided by 17858.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/5 - 6*l**3 + 26*l**2 + 294*l - 1568\/5 = 0.\nAnswer: -16, -7, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 20 - 7. Which is smaller: 3\/844 or r?\nAnswer: 3\/844","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 21*x + 12*x - 4 - 5 to b + v*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**2)**(-17))**(-50)*(a**(3\/2)*a**3)\/(a*a*a**(-2\/3)*a*a)**(-2\/85) assuming a is positive.\nAnswer: a**(173867\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.5 - -1.9. Which is the nearest to 0? (a) n (b) -0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 5*o + 21. Let n = -17\/2 + o. Which is the closest to 1? (a) -1\/5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m + 98*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 451281312?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (91\/14 + -6)\/(1\/2). Which is the closest to 0.1? (a) 2 (b) 1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15903954 and 594.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3670894310 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3050298 * -5.\nAnswer: -1.525149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 86*a**2\/3 - 142*a - 20\/3 = 0.\nAnswer: -2\/43, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m**(-7))\/((m\/(m*(m*m\/m**(-1\/2))\/m*m))\/m)**(8\/3)*((m**9\/m*m)\/(m**(-3)\/m))**(-18) assuming m is positive.\nAnswer: m**(-3268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + -1.3. Let y = 242 + -238. Let g be 2\/y*(1 - (-17)\/(-7)). Which is the smallest value? (a) 3 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87332033 and 331?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g**2 + 2*g - 2*g)*(2*g**2 - 2 + 2) - 9*g**4 + 12*g**4 + 11*g**4)*(-59*g - 37*g + 139*g).\nAnswer: 688*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1697767*y**2 + 1 + 565885*y**2 + 2 + 565950*y**2 + 565930*y**2 - 3.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 450*s + 38 = 454*s, -3*a + 13*s + 4 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1653*t**5 + 49*t**4 + 2*t**2 + 53*t + 894 wrt t.\nAnswer: -33060*t**3 + 588*t**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqjj when four letters picked without replacement from aaqrajajjajjraaqaa?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -13*k + 2. Let x be s(1). Let v be 2\/x - ((-1029)\/33 + 4). Solve -4*i + 3*l = -v + 5, 4*i = -3*l + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rewceegcccxcwrc. Give prob of picking 2 w.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.9, 2, 0.1 in ascending order.\nAnswer: -8.9, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7386, 7321, 7256, 7191, 7126?\nAnswer: 7061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 2*v**2 - 21*v + 7. Give q(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)\/(sqrt(396)*4 + sqrt(11)))\/(sqrt(108)*-3 + (sqrt(24)\/(sqrt(2)*-2) - sqrt(12))))**2.\nAnswer: 4\/55125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 + -0.04. Let z = p - 0.6. Let i be (-749)\/107 - (-4 + -2). What is the second smallest value in i, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 8685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 + -0.37.\nAnswer: 416.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8524 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/18*(2*3 + -1)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 - -8)\/(1\/4). What is the lowest common multiple of (-30)\/(-4) + (-6)\/s and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*m - 110. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7 and -0.4210834?\nAnswer: -0.29475838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -41*c**2 - 8*c - 10. Give m(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/81, 69.92, 0.1, -8 in ascending order.\nAnswer: -8, -0.4, -2\/81, 0.1, 69.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/210 - 11*u**4\/24 + 11*u**2. Find the second derivative of p(g) wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 89960, 89944, 89926, 89906, 89884, 89860, 89834?\n\"Answer: -r**2 - 13*r + 89974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 34?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15525 + 31442. What are the prime factors of c?\nAnswer: 11, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 44*o + 2. Calculate a(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129520282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 3\/2, -2158, -1\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(428\/(-420)) + 35\/(-245) + 16\/14?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534632353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/167520 and 37\/45.\nAnswer: 502560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1023, -1021, -1019, -1017, -1015?\n\"Answer: 2*l - 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -95. Let l = u + -54. Suppose 0 = -l*t + 7*t + 581. What are the prime factors of t?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163 + 251. Let m = -38 + s. Let v(x) = -6*x + 64. Let g be v(9). What is the greatest common divisor of g and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1748871 and -15.\nAnswer: 1748856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 30393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (3 - (6 - 1)) + 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q - 4*q)*(0*q - 6 - 3*q + 3) in the form y*q**2 + p*q + f and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*w - 159*w = -3521. List the prime factors of w.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/112530?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1740340.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 63*h**3 - 2*h**2 - 2*h - 2. Let c(b) = -314*b**3 + 11*b**2 + 11*b + 11. Give -6*c(f) - 33*j(f).\nAnswer: -195*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57566432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 21. Let r(o) = o**3 - 2*o**2 - 11*o + 13. Let k be r(6). Calculate the highest common divisor of y and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3 - 0. Suppose y*g + 6 = 51. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 4*u**2 - 3*u - 3. Suppose -3*l + 2 - 11 = -2*y, -3*l - 2*y = 9. What is k(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 675 - 647 - (-1 + -3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8408 = -2*p, 12*p + 2*i - 21001 = 7*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-11) - (-48)\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16974 to 3 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77234 or -68450?\nAnswer: -77234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -308 - -308.000005152. What is j rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/17 - 3402*y**2\/17 + 1928934*y\/17 - 364568526\/17.\nAnswer: 2*(y - 567)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 787 divide 257349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(119)*-2*4)\/(4*sqrt(4032)*1 - sqrt(4032)))**2.\nAnswer: 68\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 1\/3, 1, -33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 248*f - 24520. Calculate x(96).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.1, -3\/2, 2, 4\/5, 0.1, -175 in increasing order.\nAnswer: -175, -3\/2, 0.1, 4\/5, 2, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224108, 224098, 224088?\nAnswer: 224078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9018921 to the nearest integer?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.038.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -658, -2, -1851?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1270751 and -18117305.\nAnswer: -19388056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4*r + 62 - 32 = 0, -r = 2*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*f - 36*f**2 + 256*f + 107*f**2 - 127*f.\nAnswer: 71*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 4. Let w(d) = 4*d - 8. Let k(q) = 13*u(q) + 6*w(q). Let t be k(5). What is the nearest to 1\/4 in t, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13806283 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: 1311 divided by 6860\nAnswer: 1311\/6860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**5*t + 244*h**2*t**3 - 5*h**2*t**2 - 2*h*t**2 - h*t - 72*h - 5*t**3 wrt h?\nAnswer: 20*h**3*t + 488*t**3 - 10*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1467 - 715. Suppose 0 = -21*f + q + 739. Calculate the least common multiple of f and 5.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - t - 3*t - 3324 = -3342, -27 = -4*u + t for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/289*-1003 + -23?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 110855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -5) + -3 + -2 - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 24*f = 36. Is -0.2 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3\/9 + 90742*t**2\/9 + 686145632*t\/3 - 457470752 = 0.\nAnswer: -45372, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 32*u + 34*u - 2*u**2 - 67*u - 1253 + 1257. Let c(v) = -3*v**2 - 2*v + 5. Determine -3*c(r) + 4*z(r).\nAnswer: r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z)**(2\/33)*(z**0)**(-48))**(-5\/14) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 12. Give x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*c**3*d**2 + 12902*c**2*d**2 + 2*c*d**2 + 1399*d**2 + 2*d - 541 wrt c.\nAnswer: -744*c*d**2 + 25804*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 6*w + w)*(17 + 24 - 52)*(-5 + 5 - 4 - w).\nAnswer: -33*w**2 - 132*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6080 = 45452*s - 45012*s - 1400 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4320742683 + -12.\nAnswer: 4320742671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + v + 1, 2*v + 6 = -2*h - 2*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 5. Suppose 0 = 4*b - 7 - 5. Suppose -b*z + 6*z + 4*h - 29 = 0, 5*h = 5*z - 60. Let u(v) = 5*v - 14. Let t = 10 + -6. Give t*u(p) + z*o(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 1786606*s**3 - 1786569*s**3 + 12*s**2.\nAnswer: 37*s**3 + 12*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/312898 and 25\/625796.\nAnswer: 625796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 19*m**2 + 12*m - 6. Let a(o) = -15*o**2 - 12*o + 5. Let x(h) = 5*a(h) + 4*k(h). What is x(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from kaaak.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwapa. Give prob of sequence zzaw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7724?\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1654 (b) 2 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjjpjjjbjjppxjjnxbp. Give prob of picking 1 p and 1 j.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29596 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2000, -3997, -5992, -7985, -9976, -11965, -13952?\n\"Answer: s**2 - 2000*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -3 - (-2 - 0). Suppose 5*z + 5*n - 5 = 0, 4*n = l*z - 5 - 5. What is the third derivative of -2*b**2 + 0*b**6 - 2*b**6 - z*b**2 wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4024361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276857 at least 1276855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let c(z) = 414457*z. Determine q(c(r)).\nAnswer: -828914*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in 11, -2, -14\/25, -33\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/664150 and -97\/2125280.\nAnswer: 10626400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1471.5, 5, 41\/3 in ascending order.\nAnswer: -1471.5, 5, 41\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**3 - 25*w**2 - 150*w - 1546. Calculate i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*r - 5*r + 2*r**2)*(-214 - 173 + 53) - r**2 + 4*r**2 + 0*r**2)*(2*r + 3*r - 2*r) in the form l + t*r**2 + h*r**3 + b*r and give h.\nAnswer: -1995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-38)\/5)\/(48\/3 + -15) - -8. What is the closest to -1 in 51\/10, i, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - x**4 + x**4 + (-x**3 + 4 - 4)*(2*x - 6 + 6) + 0*x + x - 2*x**4 - 2*x.\nAnswer: -5*x**4 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-4\/7)\/o))\/((o**2*o)\/o))\/(((o**(-1\/3)\/o)\/o)\/((o**(-3\/2)*o)\/o)) assuming o is positive.\nAnswer: o**(59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1741 - -733.1741. Let a = 733.393 - t. Round a to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/200 - 497*b**5\/100 - 69*b**2 - 3*b + 2. Solve j(v) = 0.\nAnswer: -497, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.542 - -1073.458. Let l = m - 1061.99. Let h = -14 + l. Are h and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 21*r + 12 = 0. What is the greatest common divisor of 48 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3\/z)\/z**(-3\/7)*(z\/((z*z**0*z)\/z))**(-8)*(z**(-1)*z**(4\/11))\/(((z**6\/z*z)\/z)\/z*(z**(1\/3)\/z*z)\/z) assuming z is positive.\nAnswer: z**(-356\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 751903 by 4.\nAnswer: 751903\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 5*x**2 - 5*x + 7. Let s be i(-4). Solve 0 = -f - 2*t - s, -5*t - 8 - 17 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78.5 + 75.5. Let r = -117 + 587\/5. What is the nearest to q in -0.4, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 504819806 to the nearest integer?\nAnswer: 22468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 71.3, -1\/9 in ascending order.\nAnswer: -1\/9, 0, 71.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 9*t - 16. Let f = 274 - 274. Suppose -2*a = 2*l - 30, l + 23*a - 24*a - 7 = f. Determine h(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221200201200 (base 3) in base 7?\nAnswer: 11546550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 8:21 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -17541.\nAnswer: -17470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 22 = 2*x. Suppose 0 = 4*a + x + 1. Put -5, a, -4 in decreasing order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 382282*b**3 + 9*b**2 - 8*b + 18?\nAnswer: 2293692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/520824 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5427 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 - 989148?\nAnswer: -989115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, r: 11, x: 2, t: 4}. Give prob of sequence xr.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3308 - 126*p**5 + 1655 + 1653 + (4*p**3 + 0*p**3 - 3*p**3)*(25 - 25 - 10*p**2).\nAnswer: -136*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50210, 50214, 50220, 50228?\n\"Answer: l**2 + l + 50208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/155400 and 17\/12600.\nAnswer: 466200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 4992.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -s + 6, 3 = -5*i - 4*s + 12. Suppose i*y - v - 58 = 0, 2*y + 14 = 3*y - v. Let a = 16 - y. Solve 2*m - 6 = 0, m + 12 = -0*z - a*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 525*z**4 - 3160*z**3 - 20940*z**2 + 400*z = 0?\nAnswer: -4, 0, 2\/105, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/23 - 73154*m**4\/23 + 146316*m**3\/23 - 4*m**2\/23 - 146314*m\/23 + 73158\/23 = 0. What is m?\nAnswer: -36579, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 615 - 439. Calculate the remainder when i is divided by (-3 - -1 - 0) + 15 + 3 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202176 and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 1*sqrt(77) - sqrt(77))\/sqrt(7) - (sqrt(121)\/(sqrt(99)\/sqrt(9)) + sqrt(11)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 - i**2 - i. Suppose 2*t = 4*j + t + 48, j + 4*t + 29 = 0. Let r(v) = v**3 + 12*v**2 - 12*v + 11. Let u be r(j). What is g(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.3 (b) 0 (c) 1 (d) 187.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 - 208. What is the smallest value in -2\/5, 1\/6, -6, v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184125978293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72968281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -20. Let y = -24.13 - f. What is y rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**6\/120 + x**5\/15 - x**4\/6 - x**3\/2 + x**2. Let z = 6013 - 6009. Give a(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:08 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.6, -2, -1\/6, 4?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + 0 + -51)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 + 332*a\/5 + 1218.\nAnswer: 2*(a + 21)*(a + 145)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -319 - (4 - (2 + 1)). Let x = -184 - m. What is the highest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**2\/2 + 8*w - 117. Let c(f) = f**2 - f + 6. Let x be c(0). Let l be o(x). Solve 2*a + 2 = 5*a + 2*m, -3*m + l = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1310625 and -61\/225?\nAnswer: 1310625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162387046\/1832493 + -2\/140961. Which is bigger: u or -90?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -703*l**3 - 7*l - 8. Let z be r(-1). Is 702 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/13 + 0. Which is the closest to -2\/3? (a) -0.4 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.07 + 0.07. Let s = -3.6 - j. Let h = s + -0.9. Sort 3, -1\/5, h in ascending order.\nAnswer: h, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*604.\nAnswer: -6040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/(-10))\/(-9)*(-4)\/84*-7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 20*f**3 + 48*f**2.\nAnswer: -2*f**2*(f - 12)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/293 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 21. Let l(k) = -101*k + 505. Let m be l(5). What is w(m)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6074 and 64669.\nAnswer: 58595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**4 - 25*v**2 - 2*v + 18 - 18 to y + i*v + d*v**3 + b*v**2 + s*v**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.4 + -4.3. Let p = j + 2.9. Sort p, 1, -0.4 in ascending order.\nAnswer: -0.4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 632645 by -5.\nAnswer: -126529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f - 3*y = -42, 5*f - 3*y - 30 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -278, -1001, -2410, -4733, -8198?\nAnswer: -13033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2812\/9 + -312. Let k = -3.02 + 0.02. Let c = -7526 + 7526.3. What is the closest to 0 in k, w, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -35. Suppose 3*r = -0*r + a*w - 156, -4*r - 2*w = 208. Let i = -32 - r. Solve -8*s = -4*s + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**3 - 9*v - 2 - v**4 - 1387*v**2 + v**3 + 1388*v**2 + 4 in the form u*v**2 + n*v + s*v**4 + k + h*v**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - i + 7. Let a be m(5). Let y = -1 + a. Sort -1, -5, y.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13802.2 and 453.\nAnswer: 14255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191290*a**4 + 887877*a wrt a.\nAnswer: 14295480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076 != 3072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2567*w**2 - w. Let s(t) = -t. Calculate s(n(z)).\nAnswer: 2567*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.2 from -1.1881.\nAnswer: -3.3881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*x + x**2 - 17*x - 29*x - 2 - 2*x**2 - 23*x to h*x**2 + d*x + v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 7*n - 7. Suppose -65 = -3*y - 11. Is m(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2 * 20\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-215) + ((-28)\/(-42) - (-122)\/105).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5519795 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59608597 to 4 decimal places.\nAnswer: 0.5961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -146678?\nAnswer: -3\/146678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109270 to the power of 1\/2, to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-12)\/336)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-2)\/(-12092)). Let l = q - -18031\/6. Find the common denominator of l and -77\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 22 = 3*w + 97, c - 55 = -5*w. Suppose 0 = a - 0*a + 3*g - 22, 3*a = 2*g + 44. What is the remainder when c is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.054 + -0.346. Let q be 11\/(-14) + 1\/2. Is s bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 193*m + 390.\nAnswer: -(m - 2)*(m + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 987383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(198))\/sqrt(6))\/(sqrt(22)\/sqrt(32)).\nAnswer: -8*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/14530 and 89\/16?\nAnswer: 116240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -344\/51225?\nAnswer: -344\/51225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19658*k + 3331 = 19835*k - 386 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**5 + 8*d**4 - 142*d**3 - 6*d**2 - 4*d + 1507?\nAnswer: -900*d**2 + 192*d - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 3b2?\nAnswer: -3b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - -34) + -89 + 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126211 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48\/10 + 2\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1007 - 4029\/4. Sort -3, k, -0.043 in decreasing order.\nAnswer: -0.043, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1665 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363518 is divided by 30185?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -4061*s**6\/60 - 91*s**5\/20 - s**4\/12 + 42*s**2 + 6*s + 2. Find the third derivative of z(d) wrt d.\nAnswer: -48732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let a(h) = 0*h**2 - h**2 + 3 - z. Let f(m) = -8*m**2 - 4*m + 9. Let t(j) = j**2 + j - 1. Let r(l) = -f(l) - 4*t(l). Calculate 10*a(b) + 2*r(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47 or -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -11. Let r be 52\/3 + 2\/s. Find the first derivative of 3*g - 8 - r*g + 3*g + 7*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -52. Let o = r - 15. Let f = o - -22. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19450)\/15560*32\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 875 = 3*c. Suppose -2*t + 74 = -0*t - 2*k, 5*k - c = -4*t. Let l be -20*((-8)\/10 - 27\/(-90)). Calculate the greatest common divisor of t and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 2, k: 1}. Give prob of sequence ok.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 294600 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -228662069, -228662068, -228662067, -228662066?\n\"Answer: q - 228662070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399 - 16*o + 81*o - 15*o - 51*o - 9*o.\nAnswer: -10*o - 399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + -3 + sqrt(27)\/sqrt(9) - (sqrt(3) + 4*sqrt(300)).\nAnswer: -39*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**3 + 234*c**2 - 427*c**2 + 13 + 192*c**2.\nAnswer: -31*c**3 - c**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -13. Let l be p\/(-8) - (-8957)\/2. Suppose 0 = 3*f - 34479 + l. Round f to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 6. Let i be 55\/2 - 1\/j. Suppose -22*u = -i*u + 115. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n - 10*n**3)*(6716*n**2 - 2086*n**2 - 3438*n**2) + 4*n**5 - n**5 - n**5 + (0 - 1 + 2)*(-2*n**5 + 2*n**5 - n**5).\nAnswer: -11919*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*x**5 - 57*x**4 - 63*x**3 - 27*x**2 - 3*x.\nAnswer: -3*x*(x + 1)**3*(6*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, -1, -5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (89188\/242)\/(3\/(45\/(-2))). Let y = t - -2766. What is the common denominator of 42\/31 and y?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93527 divided by 1.\nAnswer: 93527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 9 = 11*h. Solve 2*k - k + 5 = h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9855533 rounded to one dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.8 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 67*j**4\/12 + 6*j. Let s(m) = -m**2. What is q(s(h))?\nAnswer: 67*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-7) - (-342)\/63. Suppose -12 = 2*g - w*g. Suppose z = 4*a - 22 + 5, 0 = 5*a - 25. Solve -9 - z = g*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g. Let a(c) = 3*c**2 + 2*c + 1. Let o be a(-1). Let x(p) = -3*p - o*p + p + 5*p. Give x(u(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.199, 5 in descending order.\nAnswer: 5, -0.199, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*b + 7*b - 6*b)*(-3 + 2 - 3) + b - 1 + 1 to the form q + k*b and give k.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853 divided by -86418.\nAnswer: -853\/86418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 - 2*g - g)*(-14 - 3 - 39 + (-1 + 4 - 1)*(-2 - 2 + 5) + 1 - 4 + 1).\nAnswer: 224*g + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:21 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v - 8. Let o(q) = -69*q + 54. Let s(l) = -27*m(l) - 4*o(l). Let d(k) = -56*k. Give s(d(f)).\nAnswer: -336*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7238\/(-10340)*68\/(-7)*5\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136864 by 26.\nAnswer: -5264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 308100 and 9480?\nAnswer: 616200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-14) + -1)\/(440\/(-220))\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 8 + 12 + 6)*(2*m + 0*m - m).\nAnswer: 2*m**2 + 26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 76839.033 to the nearest 10.\nAnswer: 76840","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1164 and 4350741.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 - 2*r. Let x(m) = -6*m**2 - 48*m - 6. Let o(k) = 13*k**2 + 103*k + 13. Let p(z) = -7*o(z) - 15*x(z). Calculate -p(u) + q(u).\nAnswer: -3*u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -2*p + 4*g, p + 7 = -4*g + 85. Let t = 134 - p. Let f be 16*(0 + 3 + -2). Calculate the highest common factor of f and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -856 - -545. Let f = p + 825. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*n**2*p*y**3 + n**2*p*y**2 - 2*n*p + 6*n*y**3 - 2*p*y**3 wrt n.\nAnswer: 34*p*y**3 + 2*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31.64 - 44.97. Let p = c + 6.27. Let v = p - -0.06. What is the second smallest value in 0.1, v, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeceeceee. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 771386 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 + 47*b + 150. Let u be m(-3). Suppose 2*r = 4*a + 44, 3*r - 5*a = -a + 62. What is the highest common factor of r and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26773 is divided by 5326?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:45 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from {q: 3, w: 1, b: 1, t: 2, r: 1, o: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 - -6?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 377155799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + -1 + (sqrt(475) - (sqrt(475) + 2 - sqrt(475))) + 2)*1)**2*3.\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*m + 50689 = m, -3*p + 5*m = 38025. Let r = p - -23849. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Suppose x = -20*l + 23*l + 9. Which is the nearest to -2? (a) -2\/9 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.61 + -13.71. Let i = 13 - 34. Let u = 26 + i. Which is the third biggest value? (a) -4 (b) -1 (c) k (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/24 and ((-4576)\/1529 - -3)*138\/9.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*n + 5, 1565*g + n = 1568*g - 11. Sort -0.3, 5, 1\/5, -0.195, g in descending order.\nAnswer: 5, g, 1\/5, -0.195, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 17*o - 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8894779 - -78288940.\nAnswer: 69394161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 1356 - 1356.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 189 - 92 - 31074*c + 7422*c.\nAnswer: -23652*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43709 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 7*g**2 - 6*g. Let r(p) = p**2 - p + 4. Let y(j) = -3*j**2 + j - 1. Let m be y(1). Let z be r(m). Let v = z - 10. What is a(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 285 = -f. Let w be (12\/7 - 2) + f\/91. Factor 2\/5*n**2 + 0*n + 2\/5*n**w + 0.\nAnswer: 2*n**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233836669*i + 246490568 wrt i.\nAnswer: 233836669","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 17*r**2 + 18*r + 340. Let f be s(14). Let v(c) = -c**3 + c**2. Let x(u) = -32*u**3 - 4*u**2. Determine f*v(n) + x(n).\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4 - 652*m**3 - 131988*m**2 + 265916*m - 133280 = 0 for m.\nAnswer: -119, 1, 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -113. Let c = 25 + x. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/13721 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(6)\/sqrt(3)) - sqrt(144)\/sqrt(3)) + (sqrt(6)\/(sqrt(14)\/sqrt(7)*5))**2 + 3.\nAnswer: -3*sqrt(3) + 78\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3124232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 12651*r**3 + 51*r - 4974. Let z(k) = 3163*k**3 + 12*k - 1244. Let n(m) = -4*p(m) + 17*z(m). Differentiate n(v) with respect to v.\nAnswer: 9501*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, -0.107, 2383?\nAnswer: -0.107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/(sqrt(144)\/sqrt(6)))\/(-5*sqrt(48)\/sqrt(4)*-4))**2*4*-2.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32828813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*2\/4*(-1 + 0). Suppose d*j = 228 + 542. Let f = 263 - j. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1524\/809 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((0 - 1) + 11\/(-33)). Let v be (z - (1 + -3))*(-549)\/(-6). Suppose -8*g = -963 - v. What is the highest common factor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490, -903, -1174, -1237, -1026, -475, 482?\nAnswer: 1911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1979 - 537. What are the prime factors of v?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -24*b**2 + 31*b**2 - 3*b**3 + 2*b**3. Let j be k(7). Suppose j*o - 14 = o - 5*a, -27 = -2*o - a. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2072*r - 540798. Determine o(-261).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466 - -471. Find u such that 0 + 4\/5*u**4 + 0*u + 0*u**2 + 0*u**3 - 2\/5*u**m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 12*c**2 + 10*c - 14. Let u be l(11). Which is greater: -24 or u?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/42 and -65\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -56876 and 3360 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-364)\/1560)\/(98\/(-84)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 93. Let w(l) = 2*l**2 + 3*l - 2. Let c(j) = -6*j**2 - 9*j + 5. Give o*c(d) - 8*w(d).\nAnswer: 2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, 2\/7, -2, 1 in descending order.\nAnswer: 1, 2\/7, -2, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 22 = 4*o, 0 = o + 4*j - 2 + 5. Suppose -5*g = o, -6*m + 3*g = -11*m - 53. Which is the second biggest value? (a) -0.1 (b) -1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -204*w**2 - 996*w + 574. What is the derivative of s(m) wrt m?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 7.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583 - -1250. Calculate the greatest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24700 and 104289575.\nAnswer: 6175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 6*s - 81. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q - 4*t + 16, 0 = -2*q + t + 11. Calculate the remainder when q is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 614 - 2*z - 2*z - 579. Let f be c(8). Suppose f*h + 7 = 22. Solve h*d - 5 + 20 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 - -297. Suppose -3*z + a = -383. Suppose 4*c - 5*m = 168 + z, -5*c + 446 = 2*m. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {f: 3, r: 2, h: 5, c: 1, n: 5}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906 - 243 - 446 = 145*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179046 is divided by 293.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**3 + 2*l**2 - 459*l - 916. What is y(-2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 34*l**2 - 151*l + 481. Calculate q(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21169562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 602 + -598. Calculate the greatest common factor of 9 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 53*q**2. Suppose 10 = -2*d, -5*d - 19 - 4 = s. Let x(v) = v - 3*v - v + s*v. Give x(m(y)).\nAnswer: -53*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -18.4. Let k = -1\/34 + 39\/170. Which is the closest to k? (a) 3\/4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 51, -22, 3, -132 in descending order.\nAnswer: 51, 3, 2, -1, -22, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 0 - (-1 + 0)) + (30 - -3).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.475 * -7.8.\nAnswer: -3.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*59*384\/(-4544)*71?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 - 102*o**3 + 2913*o**2 + 64260*o = 0. What is o?\nAnswer: -45, -17, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*p - 72, -5*p + 36 = -5*r + 126. Let t(z) = z + 2*z + r - 18. Let j(u) = -10*u. Give j(t(d)).\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0 - 10) + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 0*w**3 + 0*w**2 - 1 + 7*w - 7\/5*w**5 + 0*w**4. What is the derivative of c(g) wrt g?\nAnswer: -28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.6, 0.3, -3, -2, 4, 1104?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j + 8. Let m be v(-3). Let n(b) = -b**3 + 22*b**2 - 26*b + 13. What is the tens digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 80854.7763 and -22.5?\nAnswer: 80877.2763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 86d27 (base 15) to base 14\nAnswer: b20a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**6\/720 - 29*r**4\/12 - 16*r. Let z(a) be the third derivative of i(a). Let q(w) = 8*w. Determine z(q(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:57 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -3.26\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7)*(-3201)\/(-4268))\/(2\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 5*w + 103, 0 = 19*o - 2*w - 7606278 + 7606358 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 10:24 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189548, 379247, 568964, 758699, 948452, 1138223?\nAnswer: 1328012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*u**3 - 2*s**2*u*y + 2*s*u*y + 82*u**3*y + 5*u*y - y wrt u.\nAnswer: -12*s**2*u + 492*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 + 276*i**3 - 840*i**2 + 844*i - 282 = 0 for i.\nAnswer: -141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372 minus 19?\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 69. Let w(r) = -r**2 - 10*r + 2. Let d be w(s). Suppose 5*n - d = 2. Solve 0*b + 6 = -4*h - 2*b, 4*h - 1 = n*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b**2 + 3*b - 7. Suppose 3*s - u - 15 = 3*u, 3*u = s. Calculate the remainder when o(-2) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 24*y**3 - 21*y**2 + 9. Let p(m) = -2 - 6*m**3 + 0*m + 5*m**2 + 4*m - 4*m. Let i(w) = -18*p(w) - 4*q(w). Find the third derivative of i(o) wrt o.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -33, -4\/3, -0.3.\nAnswer: -33, -4\/3, -0.3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4786 (b) 2\/27 (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 12:42 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -3. Let z(o) = -5728*o**3 + 3*o**2 - o - 2. Let m be z(r). Suppose x = m - 5166642. What is x rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 1. Let i(f) = f**2 - 2*f + 2. Let d(j) = -i(j) + 2*v(j). Let z(w) = -16*w. Give z(d(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (-12)\/4 - -3. Suppose 3*k + 11*h - 13*h = 718, 8 = -q*h. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 7.58, -2\/5, -1\/6, 2\/5, -0.1224?\nAnswer: -0.1224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -41930, -41933, -41936, -41939, -41942, -41945?\n\"Answer: -3*n - 41927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 967820119 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-100)\/(-90))\/(140\/84))\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - -5*((sqrt(55)\/sqrt(5))**2 + sqrt(11))) + -2*(-5 + (-1 + sqrt(11) - sqrt(11) - sqrt(11)))**2.\nAnswer: -18*sqrt(11) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 7, a: 4, r: 4, b: 3, z: 1}. What is prob of sequence amk?\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*x - 1195*x + 399*x - 8709 + 402*x in the form j + f*x and give j.\nAnswer: -8709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*n - 82 = 0, 0 = -10*a + 7*a - 2*n + 236. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.08 (b) -2 (c) 3 (d) -0.4 (e) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5848962349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -60. Let v = -0.0599 - -0.2599. What is the third biggest value in 1\/4, v, 1, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5718?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391354337?\nAnswer: 11, 137, 259691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 22*f - 147 = 0. Let w(x) = -20*x - 12*x - 14*x + f*x. Let m(d) be the second derivative of 3*d**4 - 12*d. Determine m(w(a)).\nAnswer: 324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = 2*b. Suppose -4 + 6 = -q + j, -4*q + j - b = 0. Solve 3*f - 8*f - 25 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 5. Let s be l(5). Sort 5, 1, s in decreasing order.\nAnswer: 5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -23*u + 30*u - 9*u**2 + 24*u**3 - u**2 + 4*u**2 + 6. Let i(a) = -48*a**3 + 11*a**2 - 13*a - 11. Calculate -11*b(j) - 6*i(j).\nAnswer: 24*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22141 is divided by 1609?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*k = 7, 19 = 5*t - 4*k + 2*k. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 933841750 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3285 + -3283. Solve 3*p + r*t - 14 = -1, -2*t + 16 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 - ((-8 - 0) + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -104, -292, -644, -1214, -2056?\n\"Answer: -9*w**3 - w**2 - 12*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 75942.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688726 and 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 + (608\/95 - (-3)\/(-5)). Put -1\/2, 5, 2\/51, d in increasing order.\nAnswer: -1\/2, d, 2\/51, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 718171194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/3))\/o)**(-1\/36)*(o**(2\/15)\/o)\/((((o*o*o\/(o\/(o\/(o\/o**(-9\/2)))))\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(2497\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2790 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25772, -25767, -25762?\n\"Answer: 5*b - 25777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k. Let v(w) = -2*w**3 + 4*w**2 - 9*w + 6. Let y(u) = -v(u) + 4*x(u). Let i be y(-4). Calculate the greatest common divisor of 152 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*j + 681*j - 301 = 257 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 17*b**2\/3 + 31*b\/3 - 5.\nAnswer: (b - 15)*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i - 96. Let z(t) = -t + 8. Let d(y) = j(y) + 12*z(y). Let l(q) = q**2 - 325. What is d(l(u))?\nAnswer: -2*u**2 + 650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-46)*(-46529)\/(-12138)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*r = -27, 3*d - 4*r = -3*r + 18. Suppose -17 = -d*l - 2, -w - 4*l + 370 = 0. Is (-9)\/(3 + 0) + w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1573 - 845 = 52*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-1 + 2*n + 1)*(4 - 4 + 14*n) in the form u*n + d*n**2 + s and give d.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from llszziew.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*b + 4 = b, -b - 1 = 2*f. Let g(y) = -5*y - 1 - 6*y + f*y + y. List the prime factors of g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27135 - -0.5?\nAnswer: 27135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 - (-60)\/88. Let v(y) = y - 2. Let l = 19 - 22. Let a be v(l). Sort a, -2, h in decreasing order.\nAnswer: h, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 31*o - 27*o. Calculate the least common multiple of o and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 16*n - 5. Let q be i(9). Let f(d) = d + q - 7 - 6. Let h be 1\/(((-1)\/27)\/(2\/6)). What is f(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 16. Let u be 0 + -2 + (1 - k). Is 6 a factor of 8*u\/3*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 224*j + 1718. Let l be n(8). Let a(g) be the third derivative of g**5\/60 + g**4\/24 - g**2. Let y(m) = 16*m**2 + 10*m. Give l*a(r) + y(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2\/6 - 179215*m\/3 - 6423603245\/6.\nAnswer: -5*(m + 35843)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 3\/5*f**5 + 30 + 0*f**2 - 3\/4*f**4 - 1\/6*f**6 + 1\/3*f**3 + 0*f. Factor s(z).\nAnswer: -z**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3949*y + 7257*y - 3830*y.\nAnswer: -522*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/3)\/n*n)*n*n\/(n\/n**(4\/3)*n*n))\/((n**(2\/7)*n)\/n*n**(-6)*n*n) assuming n is positive.\nAnswer: n**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c - 12 = 45*c. Suppose -2*z = 3*x - 4, 3*x + 1 - c = -z. Suppose s - 251 = z*f, 0*f - f = -3*s + 748. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let x(z) be the first derivative of -1\/3*z**3 - 7 + 0*z + 0*z**2. Give x(p(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3155818.\nAnswer: 2, 1577909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14449, -13934, -13419, -12904, -12389, -11874?\nAnswer: -11359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 8, 2\/7, 1 in decreasing order.\nAnswer: 13, 8, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49335338.\nAnswer: 2, 13, 349, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1472*s**6 - 15*s**4 - 3336*s**2 - 13*s?\nAnswer: -176640*s**3 - 360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 72 = 2*d - 5*d, -d - 3*a + 24 = 0. Is 24 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-50)*1035\/(-414) - (-2)\/10*106.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 353 + 120 = -242. Solve 4*y + 18 = -2*d, 61*y - 21 = c*y + 5*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -45 - 9. Let f be 3\/(-2)*6\/m. Sort 0, f, -3.\nAnswer: -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794488 is divided by 52964?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 696 and 692 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 8472?\nAnswer: 8472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 31 - 1. Suppose -4*q - q + r = 0. Calculate the smallest common multiple of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 0.08 (c) 0 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2. Let c(n) be the third derivative of 3*n**2 + 0 + 0*n + 1\/8*n**4 + 0*n**3. What is c(u(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18731699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.2348 less than -11833?\nAnswer: -11842.2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ca0c (base 13) in base 3?\nAnswer: 101010120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = f, -13*o + 3*f = -12*o + 9. Let y(n) be the third derivative of 0 + 1\/240*n**6 + 8*n**2 - 1\/16*n**4 - 1\/6*n**3 + 0*n**5 + o*n. Factor y(q).\nAnswer: (q - 2)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 + -109. Let y be ((-365)\/(-20))\/(1\/(-4)). Let o = h + y. Solve 2*p + 3*m + o = 8*m, -40 = -5*p - 3*m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -7009324.4\nAnswer: -28037297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(4)*3) + sqrt(12)\/sqrt(4)*6)**2.\nAnswer: 361\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1353*j - 11. Let b(w) = -1351*w + 9. Calculate 4*b(v) + 3*m(v).\nAnswer: -1345*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:08 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 + 0 + 0)*(3*i**2 - 5*i**2 + 4*i**2) - 20*i**2 - 85*i**5 + 4*i**2 + 91*i**5.\nAnswer: 10*i**5 - 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2367261, 4734524, 7101787, 9469050, 11836313, 14203576?\nAnswer: 16570839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 76. What is the closest to 0.1 in w, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b9 - 129?\nAnswer: -a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 2. Let b(j) = -j**3 + 8*j**2 - 5*j - 4. Let s be b(7). What is the units digit of v(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4109, -16483, -37157, -66173, -103573, -149399, -203693, -266497?\nAnswer: -337853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 166514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 634, 1283, 1948, 2629, 3326, 4039, 4768?\nAnswer: 5513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14 times 37\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllkkk. Give prob of picking 3 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1352\/10 - (-6)\/(2 + -32). Let y = a - 88. What are the prime factors of y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 4:54 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o**(-4))**4\/(o*(o*o**(-5\/4)*o)\/o*o**(1\/3)\/o)**26 assuming o is positive.\nAnswer: o**(-277\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from {o: 10, x: 3, y: 5, j: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 322 and 0.1.\nAnswer: 322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2)*(3*g + 5*g + 6*g)*(1 - 5 + 0)*(3*g**3 + 5*g**3 - 5*g**3) as k*g**3 + r*g + v + i*g**4 + b*g**2 and give i.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 714 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -15 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 643, 1094, 1841, 2878, 4199?\n\"Answer: -t**3 + 154*t**2 - 4*t + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -2, 6 in increasing order.\nAnswer: -147, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*z**2 + 2*z + 89*z**2 + 60*z**2 - 9 - 32*z**3 + 58*z**3 - 27*z**3 in the form w*z**2 + m*z**3 + c + o*z and give w.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 77 (b) -0.5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 i when three letters picked without replacement from {m: 2, v: 4, d: 3, i: 2, n: 2}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-508485)\/26746 - (-21 - (-6)\/3).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + f + 241, 0 = 5*a - 5*f - 432 + 27. Let n(r) = -2*r**3 - 5*r**2 - 4*r - 5. Let b be n(-3). What is the highest common factor of a and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 15*h + 44 - 23 - 22 as x*h + r and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42499 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 821138416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/24*2*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*b + 19, 0 = -2*b - 52*n + 48*n - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 5 + (-47 - 4 - 11)*(2 + 2 - 6))*(-4*r - 2*r + 2*r).\nAnswer: -524*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhk when three letters picked without replacement from {w: 2, h: 4, k: 1, u: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 8 + -13 - -4 - 5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -105. Let b = -12 + 17. Find the second derivative of -d - 8*m**b + 20*m + 84 wrt m.\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 982 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 110 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 108 + 2*n + 25 - 89 - 25 to m*n + o and give o.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 18. Suppose 0 = j - 24 - t. Let o(c) = -c**3 + 8*c**2 + 10*c - 5. What is the remainder when j is divided by o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5\/2. Let j(b) be the first derivative of 1 + 0*b + 1\/4*b**4 + p*b**2 + 2\/3*b**3. Let j(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -244, -249, -254, -259?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 139 = 3*m - 7*m, 0 = 6*m + 5*t + 205. Which is the nearest to m? (a) 5 (b) -0.1 (c) 1\/3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50942 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose 0 = -14*b + 311 + 67. Calculate the highest common factor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3 = 5*l, -6*l = -l - 10*l - n + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.36 - 0.631. Let z = k - 1.049. What is z rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*q = 5*f + 46, -f = -2*q + 19. Let b(y) = -10 + 0 + 9*y**2 - 12*y + 6*y - y**3. Is 21 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13717532 at least 13717527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5516 divided by -14?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 35*q**2 - 4*q + 2. Let r be c(1). Let f = r + -31. Solve 5*w = 4*l + 2 + f, 4*w + 2*l = 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*v + 5*v + a, 2*a = 5*v - 74. Suppose 0 = 12*p - 2 - 46. Calculate the lowest common multiple of v and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7010789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2884 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Suppose 0 = -2*j - 2*j - 5*o + 629, -2*j - m*o = -327. Let z = 2554 - 2503. What is the remainder when j is divided by z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/3 - (-8064)\/(-378)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8135826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16.3*441.2\nAnswer: -7191.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/4 in 0.48, 252, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3944542 less than 0.04?\nAnswer: -3944541.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-16))\/(27\/(-72))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1699952801?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1122022120?\nAnswer: -1122022121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1 - -4) + 0. Suppose 0 = 5*d + z*m - 185, -5*m - 129 - 19 = -4*d. Let f = -16 + d. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 2*y**2 - 3*y + 3. Let w be h(2). Let g be 3 - w*2\/3. Suppose -42 = -g*k + 4*q, -2*k - q + 3 = 2*q. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6055199 times 1?\nAnswer: -6055199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1147210416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8 + 6 + 2 + 4*g. Let l be k(-3). Let d(y) = 8*y - 14. Calculate the least common multiple of 8 and d(l).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51894 and 9018.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 42*j - 57. Let o be ((-92)\/8 + 10)\/(3\/(-20)). Let l be n(o). Calculate the highest common factor of l and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 12 = 0. Suppose 131 = -l*n + 50. Find the common denominator of 3\/2*339\/n and -59\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7042 - -7042. Let m = 521 - 21362\/41. Are m and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 101 = 2*i + 18, 80 = -4*y - 5*i. Let g = -29 - y. Let w = 42 + -41.9. Which is the nearest to -0.1? (a) -1\/2 (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**4 - 46124*u**3 + 203781 wrt u.\nAnswer: -16*u**3 - 138372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*n**2 - 3517*n\/3 - 34.\nAnswer: (n - 51)*(69*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2209 + 2211. What is the closest to -1 in -39, 0.01, l, 3\/4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 2 m when four letters picked without replacement from wmmhll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 309 - 308. Let y be (1\/l)\/((-2)\/(-8)). Solve -y*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 62 = 8*t. Solve 9*f - t = 14*f - 2*w, 16 = -2*f + 2*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from bkxsj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 162 = 6*h - h, 3*h - 3*i = 96. Calculate the remainder when 126 is divided by h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506580 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 73 = 20*v - 193, -4*l + 50 = 2*v. What is the remainder when 79272 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 + 3*y**3 + 7*y**3 - 14*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255210 is divided by 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 2:54 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -24. Let n(g) = g**2 + g - 3*g + p*g - 1. Let l(d) = 5*d**3 - 7*d**2 - 7*d + 3. Let q(v) = -2*l(v) - 14*n(v). Differentiate q(w) wrt w.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (1 - (-3 + 21 + -8))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -245 divided by -49\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3456, -13913, -31360, -55797, -87224, -125641, -171048?\nAnswer: -223445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 2 y when four letters picked without replacement from {w: 3, m: 1, q: 1, y: 3, o: 6}?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.35057\nAnswer: -1.40228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8274519 < 74470673\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224 + 234. Suppose -16*o + m*o = -966. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005082 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 42?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*q**2 + 14*q**3 + 397*q**2 - 129*q**2 - 139*q**2.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748 is divided by 243?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001002302 (base 5) to base 3.\nAnswer: 10201001001210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29605.\nAnswer: 5, 31, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 13*g + 1610. Let a = g + 136. Solve -a*o + 4*o = 4*u - 18, -5*u = -2*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-2 - -5) + -7. Suppose -2*z - 4*s + 18 = -6, -21 = -3*z - r*s. Solve c - z*c = 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 11*p**2 - 9*p + 9. Calculate w(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1534478 and 9.\nAnswer: -1534469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*a - 9 = 0, -2*c - 2*a + 6 = -6. Let b(s) = s**3 - 8*s**2 + 6*s + 9. Let o be b(c). Solve -3*j + 2*h = o + 5, 4*j + 2*h = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18756)\/54705*(-2)\/((-32)\/(-14))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-22)*132\/99\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 + 179. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*n - 6 = 0, k + 178999*n - 179000*n = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = 6*f. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008412014 rounded to 4 dps?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23740 - -340?\nAnswer: -23400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 4. Solve -v = -2*v + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*w**4 - 842*w**3 - 625*w**2 + 6*w.\nAnswer: -w*(w + 1)*(w + 3)*(211*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1990\/13 - 1174113\/7670. Suppose -a + 9 = -2*l, 12 = -a - 2*l + 1. Is y > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**6\/20 - 7*q**5\/20 + 19*q**4\/24 - q**3\/3 - q**2 + 183*q. Factor o(n).\nAnswer: (n - 2)**2*(n - 1)*(3*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:11 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 + -121?\nAnswer: -121.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -60. Suppose -x*b + 2770 = b. Suppose 3*z - 4*r - b = 0, r + 391 = z + 3*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -171*l + 1. Let y be p(-5). Suppose -4*j + g = 840, 0 = -4*j - 9*g + 14*g - y. Is -210 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5715 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*808\/(-2020)*(5\/(-34) + 0).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgas when four letters picked without replacement from asagaaamasaasgaas?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a microsecond in nanoseconds?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -74. What is the second derivative of 39 - a - 23 - 40*f - 12*f**2 wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4, -45, 4, 63?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 39 = -14*v. Suppose -l - v = 5*k + 12, 5*l - 2*k = -233. Let n = -42 - l. Solve -4*p - 4*g - 8 = 0, -43 = -5*p + n*g - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3da54 (base 14) to base 7.\nAnswer: 1204634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sqss.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 362043306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.0753, 0.027, -0.068?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-23))\/(34 + 1).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5202\/(-21))\/((-115)\/322). Factor -408\/5*g - 9826\/5*g**3 + w*g**2 + 16\/5.\nAnswer: -2*(17*g - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 2:48 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12141304374 to three decimal places.\nAnswer: -0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 563*b - 3 - 1 - 566*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.38475 - 0.3.\nAnswer: -0.68475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10886 - -15553. Let a = z + -3100. List the prime factors of a.\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 541*b**2 - 287 + 568 - 281 to r*b + g + y*b**2 and give y.\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/189 and -139\/162.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(55)\/(1*sqrt(5)) + 3 + sqrt(1584)*2 + 0)**2)*2.\nAnswer: 300*sqrt(11) + 13774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*d**2 - 84*d**2 + 83*d + 202*d**2 - 59*d**2 + 5)*(-2*d**2 + 5*d**2 - d**2).\nAnswer: 12*d**4 + 166*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 809*88471\nAnswer: 71573039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*k - 34 = -k, 0 = 4*k + 8. Suppose x + 19 = 2*x - 5*p, x - 15 = p. Let w = x - 12. What is the highest common factor of w and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*z + 46, -3*z - 3 = -4*d - 17. Suppose 4*i - z = 2, 4*y + 5*i - 23 = 0. Let p(a) = 11 + 2*a**y - a**2 - 11. Let q(u) = u. Determine p(q(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 38647360\nAnswer: -1\/9661840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uduu when four letters picked without replacement from {o: 3, u: 5, d: 1, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -17 + 5 - 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.223 and 162.\nAnswer: -360.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 3, -o = 3*x - 50. What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*s - 481, 0 = 5*q - 2*s - 0*s + 457. Let o = 95 + q. Let r be (-7 + 8)*0*(-2)\/(-6). Solve r = w + o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.22*5.\nAnswer: -216.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 33. Let r(n) = 2*n**2 + n + 1. Let v be r(a). What is the greatest common divisor of v and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/15912 and -113\/11548576?\nAnswer: 103937184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2772)\/528 - -1*(0 + 4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*j - 0*w - 172, j - 5*w = 74. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**4 + 2985*q**3 - 596970*q**2 + 40576140*q - 116435880 = 0. Calculate q.\nAnswer: 3, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 1. Let r be x(2). Suppose 5*j + 14 = 64. Solve -j*d = -r*d + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 9, 0.2, -3, 5, 323?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*u**2 + u**2 + 10*u**2 - 3*u as k*u**2 + v*u + s and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -317, -302, -281, -254, -221?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 5:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 1382.45\nAnswer: -552.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153702 = -123*o + 5*o - 151342 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59 - 49. Suppose -v*i + 14*i = 8. Find the first derivative of 12*d**2 + 10*d**2 - 4 + 14*d**i + 8*d**2 wrt d.\nAnswer: 88*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let g(z) = 16*z**2 + 11*z + 11. Let w(k) = -3*k**2 - 2*k - 2. Let u(b) = -6*g(b) - 33*w(b). Calculate v(u(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 4*g, 0 = -3*g - m - 3*m - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 minus -0.3572?\nAnswer: 0.2672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -133, -417, -961, -1849, -3165, -4993, -7417?\nAnswer: -10521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 2\/5, 1256\/3, -3\/7, -1\/2 in ascending order.\nAnswer: -1\/2, -3\/7, -2\/5, 2\/5, 1256\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3481051 + 2160.\nAnswer: -3478891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -54*r - 6*r**3 + 170*r - 56*r - 62*r. Let o(y) = -5*y**3 - y. Suppose -15 = -9*z + 4*z. What is z*o(v) - 2*i(v)?\nAnswer: -3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.7 (b) 3 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125466259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5397105 + -8?\nAnswer: 5397097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1505820?\nAnswer: 2, 3, 5, 25097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021210001 + 11?\nAnswer: 2021210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 180, 269, 358, 447, 536?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.026 - 0.074. Sort -4, 3\/2, o, -1.\nAnswer: -4, -1, o, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let b(l) be the second derivative of -l**3\/3 - 3*l. Calculate b(t(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2882097*n - 1093055 wrt n?\nAnswer: 2882097","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301 or 603\/2?\nAnswer: 603\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*q - 629, -492 = -4*q - 18*j + 20*j. Suppose -2645 + q = -3*b. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20*(-18)\/24 - 4 - 3. Suppose s*f = 28810 + 47406. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 351. Let c = o - 52. Suppose 0*w + 3*w + c = 5*x, 0 = 3*x - 2*w - 40. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -47. Let x(m) = m**3 + m**2 + m - 1. Let q(y) = 16*y**3 - 40*y**2 + 36*y + 12. Let s(a) = u*q(a) - 4*x(a). Factor s(v).\nAnswer: 4*(v - 2)**2*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5585 and 12287.\nAnswer: 61435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 138, 307, 504, 729, 982?\n\"Answer: 14*h**2 + 127*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 3 - 3)*(-71*i**2 - 27*i**2 - 5*i**2 + i**2 + 0*i**2 + 0*i**2 + (-3*i - i + 2*i)*(-4 + 4 - 2*i) - 43*i + 43*i + 2*i**2 + 5).\nAnswer: -96*i**5 + 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -914, -914, -902, -884, -866, -854?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.221 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Let f = 54 - 33. Suppose 5*u + 21 = 3*z - z, -4*z = -k*u - f. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.9 - -0.1. Let i = z - 11.9. Let l = -1 + 5. Sort l, -0.3, i.\nAnswer: -0.3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-36) - 124\/48.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1.3.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 15656 = -4*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8385, 17453, 26521, 35589, 44657?\n\"Answer: 9068*f - 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2. Let l(p) be the first derivative of -13*p**2\/2 + 15. What is l(a(x))?\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134302\/85 - 1580. Let k(h) = 7*h**3 - 6*h**2 - 8*h + 4. Let m(q) = 2*q**3 - q**2 + q + 1. Let a(d) = k(d) - 4*m(d). Let v be a(0). Is v >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {h: 3, i: 4, m: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyccxxxxwwbx. Give prob of picking 1 b and 1 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 9:52 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 9:07 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72511.\nAnswer: 59, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrrrzrxxxzzorrr. Give prob of sequence ox.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.338 rounded to two dps?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 - 2*w - 2. Let c be v(-2). Let y = c - -19. What is the tens digit of (6\/(-15))\/(y\/(-120))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/15)\/(-6))\/((-48)\/(-16))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:44 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*c + 6411 = -385*c - 765 for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asaasaasaaa. What is prob of sequence assa?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 29 + 17 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-4)\/((-12)\/219). Let f be ((-6)\/5)\/(21\/c). Suppose -f*d - g + 9 = 0, 3*d = -d - 3*g + 11. Solve 0 = -d*a - 2*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4 + -8)*(-2)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24137 and 9.\nAnswer: -217233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -0.5, 4, 17.357?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85*f**3*g*j*v - 25*f**3*j + 168*f**2*g*v + 30*f*j*v + 2*g + 4*j*v wrt g?\nAnswer: 85*f**3*j*v + 168*f**2*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 115008789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5279266 = 41*t + 1673599. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9044, 16575, 22606, 27143, 30192, 31759, 31850?\nAnswer: 30471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3482214 - 2?\nAnswer: 3482212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8 = -20, c - p = 394. What is the highest common divisor of 240 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**8\/420 + z**6\/90 + 10*z**3 - 63. Let c(i) be the third derivative of f(i). Factor c(y).\nAnswer: -4*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36995693909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -35. Suppose -4*l + w = 2*r, -3*r + 3*l + 29 = -l. Let n = -6 + r. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - -0.01. Let p = 0.27 - z. Let n = 2 - 0. Which is the second smallest value? (a) 0 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:41 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 9858?\nAnswer: -2957.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (1\/(-2) + 2)\/((-3)\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 7*r + 1. Let l(c) = 8*c + 1. Give 3*l(v) - 4*u(v).\nAnswer: 4*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - b**2 + 4 - 65*b + 57*b. Let q be a(7). What is the units digit of (158\/(-6) - -3)*q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k = -17103 + 179793. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:27 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((3\/(-30066))\/1) - -3. Suppose -l = -u - 860. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9848 - -699192\/71. Let u = g + -211\/639. What is the common denominator of u and -77\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -0.717, 0.5, -3.8, 4, -2 in increasing order.\nAnswer: -3.8, -2, -0.717, 0.5, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l**2)*l)\/l)**(1\/10)*l**(-1)\/l**(2\/9) assuming l is positive.\nAnswer: l**(-119\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -242 * -0.2\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448 divided by 112.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/5 + 554*g**3\/5 + 2227*g**2\/5 + 2788*g\/5 + 1116\/5 = 0?\nAnswer: -2, -1, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*r - 1 + 1)*(3*r - 2*r - 2*r) - 2*r**2 + 9*r**2 - 2*r**2)*((-2 - 2 + 0)*(-2 + 1 + 2) + 28 - 16 - 62) in the form k*r**2 + j*r + g and give k.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2840201\/10 - -280932. Let w = 3085 + d. What is the common denominator of ((-7144)\/(-80))\/19 + (-6)\/2 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 13 + 0*h**2 + 3*h**2 + 24 - 5*h. Let u be y(-5). What is the units digit of 12\/42 + (-346)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Suppose o*t - 1 = -7. Let j be (-4 - t)*3 + 7. Solve u - 24 = n - j*u, u = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159088 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = r + 4*i, 2*r + 4*i = -0*r - 14. Suppose 4*j + 111 = 9*j + 2*q, r*q = -6. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 3, k: 2, z: 2, c: 2, h: 6, e: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t**2 + 2*t**2 + t**2)*(4*t - 2*t + 3*t + (-2*t + 4*t - t)*(1 + 0 + 1)) to d*t**2 + c*t**3 + x*t + r and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l - 64. Calculate the remainder when 163 is divided by a(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7703 - -7702.7. What is the closest to 0 in -1\/2, 14, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218685948 divided by 13\nAnswer: -16821996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from eeffaffwfaaewaf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-20)\/(-30))\/((-55)\/99)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4304?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/15 - -1\/15. Let v = -35.7 - -3.7. Let g = -32 - v. What is the second biggest value in y, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-219)\/(-3650))\/((102\/3056)\/1). Let u = -36\/17 + r. Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 11) to base 9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - 489?\nAnswer: -42f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 11*u**2 + 8*u + 9. Determine w(7).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**(5\/3)*t)\/t)*t*t*t**(-7))\/(((t\/t**(2\/5))\/t)\/(t\/((t\/(((t\/t**(-9))\/t*t)\/t*t))\/t)*t)))**16)**16 assuming t is positive.\nAnswer: t**(25856\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.5 + -0.1. Let x = -1 + t. Let n be 110\/(-25) + 2\/5. Put n, -3\/7, x in increasing order.\nAnswer: n, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47.939 + 0.061. Let s = r + -36.6. Round s to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -31 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16300.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11033312 (base 4) to base 10\nAnswer: 21494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c - 1. Let q be k(-2). Suppose 3*n = j - 8, -n + 2 = n. Let s = -10 + j. Calculate the greatest common divisor of q and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b**2 + 46*b**2 - 147*b**2 + 54*b**2.\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:49 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/48*4*-14)\/(2\/(-5)). Let g = 150 - -410. What is the greatest common divisor of f and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1225, 1592, 1959, 2326?\n\"Answer: 367*i + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(76) + 3 - (sqrt(19) + 2*sqrt(19)*2 + sqrt(19)) - (sqrt(5472) - -1*sqrt(5472))\/sqrt(2))**2.\nAnswer: -14905 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-0.097.\nAnswer: 1.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4376*y - 80221. What is m(-18)?\nAnswer: -1453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 11525*k**2 - 7431380*k - 7442900 = 0. Calculate k.\nAnswer: -2830, -1, 526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*b + 1366*b = 22848 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqfqyfntqy. What is prob of sequence yqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -31*s**3\/6 - 33*s**2 - 9*s + 3. List the prime factors of q(-11).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + -33 + (18 + -13 - -2) + -20.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by -134?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 8. Let a = 0 + k. Solve 0*x - d = x - 2, 3*x = -a*d + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 2*y - 2*y + (-1 - 3 + 1)*(4 + 4*y**3 - 4) + 2*y**3 - y**3 - 2*y**3)*(-51*y - 47*y - 76*y).\nAnswer: 2088*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1710971212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g + 14. Let u(l) = -31*l - 22. Let o(f) = -84*f - 64. Let v(q) = 4*o(q) - 11*u(q). What is -4*v(c) - 3*x(c)?\nAnswer: -2*c + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 0.5 (c) -34 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 - 2*t - 2. Determine k(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14567 + 20397. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/10 and ((-3)\/(-14))\/((-6)\/40).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 47287723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - 2*x + 2 + (2 + 2 + 1)*(-2*x - 2*x + 3*x))*(2*x**4 - 3*x**4 + 2*x**4).\nAnswer: -7*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1295 - 1293. Let c = -1.7 - 0.3. Let t = 0 - c. Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94152.\nAnswer: 2, 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -55*r**4\/8 - 16*r**2 - 2*r. Let w(h) = 2*h. Calculate w(s(u)).\nAnswer: -330*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -52*f - 286. What is c(-7)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 5, v: 2, h: 6, q: 1}. Give prob of picking 1 z, 1 q, and 1 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.61 + -1.31. Let k = 2.42 - o. What is k rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 141019 or 141032?\nAnswer: 141019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 22*y**2 + 23*y + 3. Is c(25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787, 325, 1437, 2549, 3661?\nAnswer: 4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2417750?\nAnswer: -2417753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 12*k - 7. Let n be j(12). Let h = n + 22. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036 divided by -3034.\nAnswer: -14\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 467638417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 117*g + 428*g - 73935 = -1867*g for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -236, -214, -192, -170, -148, -126?\n\"Answer: 22*i - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1 + -3 - (sqrt(95)*1)\/sqrt(5)) + -3 + 1 + 5)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 20 + 6 = 2*t. Solve 16*c = 25*c + t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - (564\/(-18) - 4). Calculate the greatest common divisor of 90 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 5*o - 1. Let h be (3 + -2)*(-1 + -5)*1. Let l(q) = -q. What is the remainder when l(h) is divided by v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 6*y + 2. Let x(v) be the third derivative of -v**6\/120 - v**5\/60 + 7*v**4\/24 - v**3\/6 + 49*v**2. Let i(w) = -5*r(w) - 4*x(w). Calculate i(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 10 = 0, 2*i - 17976 = -5*t + 26319. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 26703\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.19, -2\/11, 2\/3, 5, -2\/3, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -177*g - 1. Let d be w(-1). Suppose -z = -36*y + 31*y + 112, 5*z = -3*y + 56. Calculate the highest common divisor of d and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 12*h**2 + 12*h + 3. Let l be m(-11). Is 66 + l\/(-6)*-3 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + 4*z)*(4*z - 4*z - 2*z**3) + 2*z**3 - z**4 - 2*z**3 + z**4 + 2*z**4 - z**4 + (-z**3 + 0*z**3 + 0*z**3)*(-3*z - z + 2*z).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/42 and 66\/(-297) - 292\/630.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2 + 13 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 11*p**3 - 2*p**2 - 389*p + 1523. Give l(4).\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*t + 2 = 0, 8*d - 17*d + 4*t = 5 + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 147, 1 in descending order.\nAnswer: 147, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*k + 3*h, 3*k - k = -3*h + 72. Suppose 3*z - k = -d, 0*z = -z + 5. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 23. Let f(m) = 2*m. Let p(j) = -j. Let b(d) = -d**3 + 2*d + 5. Let c(v) = v**2 - 6*v + 5. Let g be c(5). Let n be b(g). Calculate i*p(t) + n*f(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171\/30*4*5 is divided by 62.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13035 (base 6) in base 2?\nAnswer: -11110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -28\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, 1 p, and 1 e when four letters picked without replacement from {e: 2, p: 2, r: 3, z: 1, q: 4, j: 3}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l - 1375 = 100*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-20)*((-42)\/(-4) + -3). Is 2953*2*9\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 + 7*d**3 + 13*d**3 - 6*d**3 - 2*d**3.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 795913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 * 3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -8) + 0 + 1. Suppose -4*x + h - 49 = 0, -2*x - 53 = x - z*h. Let u be (-1)\/33*6 - 57\/x. Let l(k) = -2*k + 5. What is l(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271\/(68292\/6888)*3.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*a + 105*a - 35*a.\nAnswer: 131*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 3*v**2 + v**2)*(266 + 5 + 380 + 190).\nAnswer: -841*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -12082379\nAnswer: 60411895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117143013, 117143020, 117143027, 117143034?\nAnswer: 117143041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -23 (c) 0 (d) -2\/1325 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (-55)\/20) + (-31854)\/(-24).\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mppp when four letters picked without replacement from mxxxxxmgpgpgmmxgp?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*n + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007676.\nAnswer: 2, 11, 103, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -2 + 17 - (13 + 0)) + -27?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*i - 0*r - 8697, -4*i - r = -6945. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7439.8 - -31354.984?\nAnswer: 38794.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3\/7 + 324*o**2 - 20169*o\/7.\nAnswer: -3*o*(o - 747)*(o - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -5*k. Let c be 87\/k + (-12)\/(-8). Let q be 32\/3*c\/(-2). Round q to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m*(m*m**(-18)*m)\/m*m*m*m*(m**(-11)\/m*m)\/m assuming m is positive.\nAnswer: m**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(108))*-6*-3)\/(sqrt(27)\/(sqrt(3) + sqrt(3) + (sqrt(3) - (sqrt(147) + (sqrt(147) + (2*sqrt(147) - sqrt(147)) - sqrt(147)))))).\nAnswer: 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m. Let k(n) = -84*n**2. Calculate k(c(x)).\nAnswer: -2100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 285 = 298. Which is smaller: -51 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/12)\/(26\/780*-25).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 340*v + 2179. Give y(-6).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -275*i + 1718. What are the prime factors of o(-6)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6\/1)*105\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/17 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. Give prob of picking 2 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(-3561 - 3557 + 7131 - o) to the form i + j*o and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-6) - 1\/(-2). Solve -2 - r = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + t = 0, o - 3 = -19*t + 17*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29102 + 29107. What is the fourth smallest value in n, 0.3, -1\/8, -79, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**6\/90 - d**4\/4 - 5*d**3\/6 - 2*d**2. Let k(x) be the first derivative of j(x). Differentiate k(p) wrt p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. Let n be (-22 - (-2 + u)) + 2. Let j = 44 + n. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(1100) - (1 + sqrt(1100)*1)) + ((sqrt(1100) - (1 + sqrt(1100))) + sqrt(1100) - sqrt(1100))*2)**2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11297431883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.099 or 52.86?\nAnswer: 52.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*q - 15 - 0, 0 = -3*q + 9. Solve -3*p + 2 + 2 = -2*r, -i*r - 20 = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2135 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n + 1. Let m(b) = -12*b**2 + 18*b. Let g(l) = -2*a(l) + 2*m(l). Find the second derivative of g(d) wrt d.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 27 = l. Let y = -6 + l. Let p(d) = 8*d**2 + y*d + 2*d - 7*d**2. Calculate p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*p + 23*p**2 - 20*p + (p - p - 2*p)*(0*p + p - 2*p) + 320 - 320 + 171*p**2.\nAnswer: 196*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6601 + 19601. Round b to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -10.5. Let r(s) = s**2 + 10*s + 6. Let o be r(-7). Let l be (o\/9)\/((-1)\/(-3)). What is the biggest value in 0.1, l, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3205, -3202, -3199, -3196?\n\"Answer: 3*v - 3208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193570.12949 - -193571. Let q = -136.13 + 137. Let n = q - r. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k - k + 2*k - 6*k to q*k + o and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**5\/20 + 5*m**3\/6 - 3*m**2 - 19*m + 1. Give t(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6062 - 146?\nAnswer: 5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 6)*(-3*m + 3*m - m) + 2 - 2 + 4*m)*(1 + 1 + 0).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 38*j - 351. Let p = -2 + 4. Calculate the remainder when g(10) is divided by p\/8 + 11\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 197\/1050 and 85\/22.\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 81420, 81355, 81190, 80877, 80368, 79615, 78570, 77185?\n\"Answer: -8*z**3 - 2*z**2 - 3*z + 81433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzybzbzsmmz. Give prob of sequence zz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/687599 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 + 2*t**2 - t**2)*(-13*t**2 - 50 + 50) as f*t**3 + s*t**4 + a*t**2 + c + p*t and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 154215331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -16252609.\nAnswer: 3\/16252609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 25*j**2 + 26*j - 125. Give a(26).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1\/6*t**4 + t + 0*t**3 + 1 - t**2. Let n(k) be the first derivative of g(k). Differentiate n(h) with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -418\/3 + 2\/3*i**2 + 16\/3*i.\nAnswer: 2*(i - 11)*(i + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8) + -2)\/(-2 - 615\/(-330))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -4 - (5 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37195 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19627702, 39255407, 58883110, 78510811, 98138510, 117766207, 137393902?\n\"Answer: -v**2 + 19627708*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyxyxxxxyx. What is prob of sequence yyyx?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g**2 - 160*g + 1369. What is y(10)?\nAnswer: -1131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(14\/3)\/((j*j\/((j**(1\/8)*j)\/j))\/j*j))**(-18\/5) assuming j is positive.\nAnswer: j**(-201\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummxmmmmummnxuuu. Give prob of picking 2 x and 1 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a**2 + 7. Let p(y) = 1. Let t(x) = l(x) - 6*p(x). Let u be t(-1). Let b = 18 - u. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 21. Let n be y(16). What is the highest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**7\/168 + 5*i**6\/72 - i**5\/6 + 11*i**3\/6 + 5*i**2\/2 - 8*i - 1. Let t(f) be the second derivative of u(f). Factor t(d).\nAnswer: -5*d*(d - 4)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125662 - -4?\nAnswer: -125657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:22 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s + 9*s + 993 - 290 = 0 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478807 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19.28 and -0.6.\nAnswer: 18.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -87, -211, -391?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7330965 millennia in centuries?\nAnswer: 7.330965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d - 44*d**2 + 43*d**2 + 0*d. Let h(p) be the second derivative of 2*p**3\/3 + 6*p. Determine g(h(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 125, 495, 1111, 1973?\n\"Answer: 123*x**2 + x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 311330876 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88557 = 4668*x - 32541 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 546 by -78.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 2, 5, 181, -4 in increasing order.\nAnswer: -4, -2, 0, 2, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5.6. Let y = 0.579 + -0.137. Let u = y - -0.058. What is the second smallest value in u, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k**3 - 36*k**3 + 59*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5534.\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(1 + 1 + 4)*(11*c - 28*c - 6*c).\nAnswer: 138*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -657, -359, 699, 2517?\n\"Answer: 380*n**2 - 842*n - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6084240 divided by 2028080\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3\/(69\/30 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5*r**(-1\/11))\/(r\/(r**(-3)*r))**47 assuming r is positive.\nAnswer: r**(-1497\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2828 and 6060.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 318\/(-424) - (-2)\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2265 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4)\/(d*(d**(4\/9)*d)\/d)*(d*d**(1\/4))**(-39) assuming d is positive.\nAnswer: d**(-1951\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:56 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + 284*f**4 + 385*f**2.\nAnswer: 120*f**2 + 6816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367361316?\nAnswer: 2, 3, 7, 1457783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-183714)\/(-23307))\/(3\/51).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30606 = 21*q + 30396 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-310)*(26 + 2442\/(-99))?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 860 and 2465792.\nAnswer: 12328960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -25 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 - 339 + z + 582.\nAnswer: z - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 - 1)*(12*z**4 - 14*z**4 - 27*z**4) - z**4 - 2*z**4 + 7*z**4)*(0 + 3*z + 0).\nAnswer: 273*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -983*b + 26436. Calculate f(27).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 182, 147, -5, 1 in descending order.\nAnswer: 182, 147, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82914, -82887, -82844, -82785, -82710, -82619, -82512?\nAnswer: -82389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/(n*(n*n**0)\/n))**47)**(5\/2) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*9 - (3 + -1). What is the units digit of -1*(2 + 0) + w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 300657708 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 5. Let m be k(7). Suppose m*z = 2*i - 166, 5*i - 2*z - 199 = 216. Suppose 73 + i = 3*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (37 - (-13 - -6)). Which is bigger: u or -374\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 - 3*o**4 + 2*o**4 + (2*o - 3*o + 0*o)*(1 - 1 + 2*o**3) - 6*o**4 + o**4 - 2*o**4 + (3*o**3 + o**3 + 0*o**3)*(3 + o - 3).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 965 and 61181.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o**2 - 2*o**4 + 0 + 3*o**4 + 1 + 1 to the form p*o**2 + z + h*o + f*o**3 + x*o**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009548602 to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6453.197 centuries?\nAnswer: 645319.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21652, 44937, 68222, 91507?\nAnswer: 114792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimcffkfkcfmjfji. What is prob of sequence cjc?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517 + -910. Let d = 393.9 + p. Let k(o) = -o**3 - 2*o**2 + 2*o. Let z be k(-3). What is the fourth smallest value in d, z, 3\/7, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 637\/(-28)*(-2 - (-14)\/(-3)). Is 152 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145509867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v + 3*o - 4, -v - 4*o = -14. Let c = -71 - -101. Suppose -3*n = -39 + c. Solve 0 = -v*j - 5*r - 5 - 6, -3*j - n*r = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let o = 1 + g. Let v(b) = -5*b**3 + 31*b**2 - 11*b - 14. Let q(c) = c**3 - 6*c**2 + 2*c + 3. Let z(i) = -11*q(i) - 2*v(i). What is z(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 16 = -4*o, 0 = 3*o + 3*v - 1 + 16. Which is the nearest to o? (a) 2\/9 (b) -1\/7 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z + 2. Let f be t(0). Suppose 0 = f*b - 3*b + 2. What is the second derivative of j - b*j + 0*j + 0*j - 2*j**3 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2073079 - 5*z**3 - 2073066 + 4146145.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-80))\/(16\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 3*q - 33. Suppose 0 = -5*d + 4*d - 3*i + 45, -3*d - 2*i + 100 = 0. Calculate the lowest common multiple of d and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689699119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2914866 and -39\/251902?\nAnswer: 20404062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1544*z + 958843. Calculate t(-621).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15241?\nAnswer: 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -17566 (base 9) in base 16?\nAnswer: -2f61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*i = -8*i - 184081 - 16878479. What is i rounded to the nearest one thousand?\nAnswer: 118000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvn when three letters picked without replacement from {j: 1, l: 5, y: 1, v: 6, n: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 66150807 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*(4 + sqrt(1216) + 1)**2 + ((sqrt(1216) - (0 + sqrt(1216))) + 0)*6)*-2.\nAnswer: 800*sqrt(19) + 12408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 2, q: 3, f: 4}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3878 - 276*k**2 + 1919 + 1927.\nAnswer: -276*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/215 and 31\/102469.\nAnswer: 512345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.10799461 + 0.108. What is m rounded to seven decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249536 by 5.\nAnswer: 249536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*n + 10*n - 4*n + (-1 - 1 + 4)*(n - 5*n + 3*n) + (10*n + 10*n - 5*n)*(1 + 8 - 1)*(-5 + 3 + 4) to the form f + l*n and give l.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + g**2 + (-2 - 4 + 4)*(-g**2 + g**2 - 3*g**2) - 8*g + 8*g - 2*g**2 in the form v*g**2 + m*g + j and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9891 and 11592.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -162)*363\/(-99). What is the highest common factor of 54 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 5:12 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - l**2 - 1. Let z(v) = -7*v**3 + 4*v**2 + v + 3. Let i(w) = -5*j(w) - z(w). Calculate i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/6)*s)**(-18))**(5\/3) assuming s is positive.\nAnswer: s**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 7 + (-1 - 25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 0.4 (c) 2233\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 + 93*y. Let b(v) = 3*v**3 + 62*v. Determine -7*b(t) + 5*s(t).\nAnswer: -t**3 + 31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -522*l - 927. Let c(p) = 36*p + 64. Let a(h) = -5*b(h) - 72*c(h). What is the hundreds digit of a(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100201 (base 3) to base 9.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 87810*a.\nAnswer: 3*a*(a + 29270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.584 - 0.184. Let c be (-22)\/(-165) + (-263)\/(-1740). Let x = c - 1\/29. What is the nearest to x in -5, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -213, -518, -955, -1530, -2249, -3118, -4143?\n\"Answer: -p**3 - 57*p**2 - p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbnbttttntbwtwbv. Give prob of picking 1 b and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2552*x**2 - 54110*x**2 + 5839*x**2.\nAnswer: -45719*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1815) - (sqrt(1815) - -6*(sqrt(1815) + -1*sqrt(1815) + sqrt(1815))))\/((sqrt(432) - (sqrt(432) - 3*sqrt(432) - sqrt(432)))*-4).\nAnswer: 11*sqrt(5)\/32 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(3388) + 3*sqrt(3388)) + sqrt(3388))*-1)\/(sqrt(12)\/sqrt(3)*-1 - (sqrt(4) - (-1*sqrt(28))\/sqrt(7))).\nAnswer: 187*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-1)\/4)\/((-5)\/(-20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j - 5. Let v be g(-2). Let y = v + 129. Let t = y + -76. What is the lowest common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7 - 11. Suppose -c - 2*c = -l. Let k(s) = -c*s - s + s + 0*s. Let i(m) = -5*m**2. Give i(k(n)).\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29928 rounded to three dps?\nAnswer: -0.299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 8. What is v(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 12*t + 16. Let i be v(-11). Suppose -5*b + 5 = -0*x - x, 0 = i*b - 5. Which is smaller: x or 2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1240*4994.\nAnswer: -6192560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/5))\/(10395\/(-162))\nAnswer: -3\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 34*n + 46 - 174 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m - 2*w + 10, -2*m = w - 14. Suppose -4*b + 18 = -m. Suppose -4 = -5*q + b. Sort -2, 0, q.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13070, -26706, -40342, -53978?\nAnswer: -67614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.055379554 to three dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 26 + 86. Suppose 5*c = c - z. Does 14 divide 0 + c\/(5\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17\/10, 0.3, -72634?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 divided by -6.\nAnswer: 107\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = 9. Suppose h - 1 = -6. What is the closest to 0 in h, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002200 - -201200?\nAnswer: -101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-8)*(-36)\/(-66)*(4928\/(-21))\/(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -123? (a) -144\/11 (b) -0.002 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 59. Suppose -4*d + 2*n + 52 = x, -41 = -3*d + 2*n - n. What is the remainder when 284 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -82, -150, -254, -400, -594?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 + 6*v - 4. Give s(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 334*w**2 + 134*w + 457. Calculate a(-3).\nAnswer: 3061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 6:47 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 123. Let r = m - 2. Let z = 22 + 0. Calculate the greatest common divisor of z and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 5:03 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202651573.\nAnswer: 103, 191, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241501923 is divided by 160.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -485.\nAnswer: -242.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (11704\/1012 + -11)*23?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.803 and 65.\nAnswer: -117.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 29 = -11. Suppose f*z = 2*z + 22. Suppose -2*j = -z*j + 432. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6314, -1\/5, -7625, 3 in descending order.\nAnswer: 3, -1\/5, -6314, -7625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136086554?\nAnswer: 2, 68043277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 361630? (a) -2 (b) 4 (c) -2\/3 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43824643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 190. Solve -4*l + d = -9*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 - y + 3. Let u be v(0). Suppose -5*c + u*c = 2. Let h be (2 - 0 - c) + -3. Solve -3*i + 5*i - 8 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 104814 and 104811 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463529.\nAnswer: 11, 42139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(5 + sqrt(304) + 3) - 5*2*sqrt(304)*-4)**2.\nAnswer: 32256*sqrt(19) + 3219072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 6*f**2 - 4*f + 1. Let w = -69 + 47. Let c = w + 17. Calculate x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 129*a**2 - 4*a - 4. Let m(w) = -860*w**2. Determine c(m(k)).\nAnswer: 95408400*k**4 + 3440*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4237, 8473, 12709?\n\"Answer: 4236*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g - 4. Give o(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 107\/4. Sort -0.3, 0.3, j, -2\/5 in ascending order.\nAnswer: -2\/5, -0.3, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Let u(k) = -k**2 + 4*k + 7. Let l be u(5). Let i be (-34)\/(-3) + (l\/3 - 1). Suppose 0 = 4*x - 5*m + 15, -3*x + 0 = -4*m + i. Determine v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.74 * 37\nAnswer: 1174.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 1:29 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8508 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*6\/96)\/(5\/(160\/42))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 11) to base 4.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 46 = 68. What is the highest common divisor of p and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83107 - -83106.916602. Let j = d + -6.915502. Let o = j + 7. What is o rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*189\/6)\/(60\/(-320)). Calculate the highest common divisor of t and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*g + 3 - 19 = 0, 5*v - 55 = 5*g. Let b be 0 + 222\/(-8) - 7\/28. Let h = b + 30. Solve -h - v = -3*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9758*h - 751398. Determine f(-77).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073925 take away -308.1625?\nAnswer: 308.236425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6966*j + 3553*j + 3524*j.\nAnswer: 111*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.36, 5, -2\/11, 1\/4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1809848, 2, -1 in increasing order.\nAnswer: -1809848, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/13)\/(172\/(333204 + -40))?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136664 is divided by 1581.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 921.6.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u\/(u\/(u*u\/((u\/((u*u\/u**4)\/u*u))\/u)))))\/(u**2)**(10\/19) assuming u is positive.\nAnswer: u**(113\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2 = v. Let j be -163*((-14)\/21)\/(v\/(-6)). What is j rounded to the nearest 10?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4004 = 331*c - 46*c - 7*r, 36 = -3*c - 3*r for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1156055 divided by 95\nAnswer: -12169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 8*a + 11*a)*(-4 - 2*a**2 + 4)*(-261*a + 123*a**2 + 261*a).\nAnswer: -3198*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12281.75177 plus -1.31?\nAnswer: -12283.06177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-42 + 19) - (105 + -89).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16*-7017\nAnswer: -112272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from dfffddfdffffdf?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 + 4*o - 4. Let i(u) be the third derivative of -u**5\/15 - u**4\/8 + u**3\/2 - 17*u**2 + 2. What is 4*i(m) + 3*q(m)?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-597000)\/(-16)*(-160)\/(-3). Round u to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (4 - 10) + 1 - 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 10) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -86434888 divided by -263521?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -19. Let u(i) = i**3 + 14*i**2 - i - 18. Let k be u(m). Calculate the remainder when 35\/(k*(-4)\/16) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1 - -3)*20. Let g be o\/(-8) + 3\/12 - -4. Suppose -g*u = 65114897 + 8385103. Round u to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, n: 2, p: 2, y: 1}. Give prob of picking 1 y, 1 x, and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 10 + 14 = -2*n, d = 3. Let r = 2 + n. Let i(t) = -3*t + 34. Does 11 divide i(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20256 is divided by 362?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*d + 1010 + 63*d + 11*d + 2062 + 3*d**2.\nAnswer: 3*(d + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/7 + 631*p**3\/7 - 24578*p**2\/7 + 16104*p\/7 = 0. Calculate p.\nAnswer: -244, 0, 2\/3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1018357044 rounded to five decimal places?\nAnswer: 0.10184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - sqrt(147)*2)**2 + sqrt(147) + -1.\nAnswer: 7*sqrt(3) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = z - 16, 0 = -2*r + 5 - 1. Let w(m) = -m**2 + 17*m - 21. Let t be w(16). Let y = t + z. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 36 = 5*u - 4*f, -3*u - 33 = f. Let z = -5 - u. Let y(a) = -a**3 + 8*a**2 - 5*a + 1. Let i be y(z). Solve 2*t = -3*t - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 36978272.30752 and -2.8.\nAnswer: 36978269.50752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**12*n)**(2\/3) assuming n is positive.\nAnswer: n**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -378.5 and -0.3.\nAnswer: 113.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-3) + -2)*-3. Is -7\/10 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201 (base 5) to base 9\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 3*t + 322. Let x be z(15). Suppose x*o - 57*o = -2325. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 304569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 - -3. Let l = -0.1 + 1.1. Let i = m - l. Which is the smallest value? (a) 0.4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:28 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1458 - 1465 - 1431 + u + 4354.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314632 + 50*s + 2*s**2 - 157310 - 50*s - 157311.\nAnswer: 2*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.683 + -489.683. Let w = a + 488.999999229. Round w to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(20)\/(3*-2*sqrt(10)) + -3*(1 + sqrt(10)\/sqrt(5))*2 + 1)**2.\nAnswer: 74*sqrt(2)\/3 + 1441\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 28*u - 3 - 28*u + (-5*u + u + 2*u)*(-8*u - 6*u**2 + 8*u))*(3*u + u - 2*u)*(1 - 3 + 5).\nAnswer: 66*u**4 - 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34460400 divided by 36660?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 102*t + 12 = -106*t, 0 = 3*z - 5*t - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5672, 24, -1 in ascending order.\nAnswer: -1, 24, 5672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-0.4.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, -485, -8750 in decreasing order.\nAnswer: 5, 1, -5, -485, -8750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1619595 and 50\/11997.\nAnswer: 1619595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259858, 520557, 781256, 1041955, 1302654?\nAnswer: 1563353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 3*t**2 + 3*t**2. Let s(r) = 2*r + 5. Let l(o) = -2*o - 6. Let q(z) = -5*l(z) - 6*s(z). Calculate q(a(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 361, 721, 1081, 1441?\n\"Answer: 360*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -50 + -31 + 8 + -24 + 53\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(180) + sqrt(5) - sqrt(560)\/sqrt(7).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 1. Let a be u(1). Suppose -l = -5*l + 1808. Suppose a*h = 7*h + l. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177 (base 13) to base 4.\nAnswer: -10023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-76))\/(123550\/1330 + -93).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-304591)\/2113958 - (7 + 628\/(-88))\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76)\/(sqrt(4) + sqrt(400)) + sqrt(19)).\nAnswer: -24*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15100, 14358, 13616, 12874?\n\"Answer: -742*c + 15842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 + -75. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 15*g**2 + 15*g + 70. Calculate the least common multiple of 100 and w(6).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 2*r + 37, 5*r = 3*i - 109. Suppose 2*p - i - 1 = 0. Suppose 33 = 3*v - 120. Calculate the greatest common factor of v and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3624*d - 134046. Calculate l(37).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33765 + 0?\nAnswer: -33765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-1\/8))\/l**(-8) assuming l is positive.\nAnswer: l**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357)\/(-1785))\/(1\/70)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 smaller than -88\/3837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1 - sqrt(80))*-4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, o: 1, n: 1, m: 1}. What is prob of picking 1 n, 1 o, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551382.\nAnswer: 2, 3, 13, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 825055, 1650047, 2475039?\n\"Answer: 824992*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3380420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -5.96. Let d = v + -2. Let r = 3.2 + -3. What is the second smallest value in d, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16358 = -2868*q - 23794 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/7, 0.4, 2, -0.875 in descending order.\nAnswer: 2, 0.4, -0.1, -1\/7, -0.875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1427, -5, -2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 119*a**3\/6 + 19*a**2 + a + 55. List the prime factors of p(5).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -4*c + 4*c**3 + 6*c**2 - 3*c**2 - 4 + c**4 + 0*c**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -717 + 371.8. Let o = t - -303. Round o to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 6:25 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = d + 61. List the prime factors of (10\/2 + 1798\/(-2))\/d.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**3 + 1832*m**2 - 1834*m - 26. Let y(z) = 5*z**3 + 611*z**2 - 612*z - 8. Let o(k) = -4*t(k) + 13*y(k). Solve o(v) = 0.\nAnswer: -124, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 15767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 5*a**2 - 8*a + 14. What is s(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -58.51372\nAnswer: -29.25686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, m: 12}. What is prob of sequence em?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -70.5. What is the fourth smallest value in 0.6, 3, 1\/3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.63 - -8.898. Round t to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 222, 4, 0 in descending order.\nAnswer: 222, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*i**2 - 97*i**3 + i + 115*i**3 - 70*i**2 to z*i**3 + q*i + v + g*i**2 and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**(-26) assuming p is positive.\nAnswer: p**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let x(h) = -o*h + h + h + 0*h. What is x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1096, -4371, -9830, -17473?\n\"Answer: -1092*i**2 + i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 12. Let n be d(-14). Let h(p) be the third derivative of -p**3 - 1\/24*p**4 + p**n + 0*p + 0. What is h(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from iriiiiiiiiiiririii?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 138*x**2 - 434*x - 1557. Calculate n(-141).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + -1.8. Let k be 2*(63\/(-30) + 2). What is the nearest to 1 in k, -0.7, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -503*q**3 - 3*q**2 + 2*q + 3. Give s(1).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 12611 - 3*n**3 + 3*n + n**2 + 12617 in the form l + k*n + g*n**3 + w*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t + 1. Let b be 0 + (4 - 12 - -37). Let j(s) = -s**3 + 28*s**2 + 28*s + 26. Let m be j(b). Let k(u) = -7*u**3 + 3*u - 3. Determine m*c(i) - k(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5 - 3*i**2 + 4*i + 1 - 8. Suppose m = -5, -3*d - 2*m = 2 - 1. Calculate j(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -636*j*q**2 + j*q - 2266*j wrt q?\nAnswer: -1272*j*q + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 46. Suppose 3*a - 76 = 13*g - h*g, 4*a = 2*g + 98. Solve -a = 3*b - 4*p + 13, -4*p = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:12 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-2) + 4 - -1. Let a(m) = 3*m. Calculate a(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**7\/840 + g**6\/90 - g**4\/8 + 4*g**3 + 23. Let i(u) be the third derivative of d(u). Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 2. Let w = -9 - -8. Let f be c(w). Let x = 0 + f. Solve 0 = 2*v - x*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.00000068 - -3. What is z rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.33 and 0.0237.\nAnswer: -0.031521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, v: 2}. Give prob of picking 1 v and 2 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111316 is divided by 152.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/490*-10)\/(54\/105).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - k**2 + 2. Let z be n(0). Suppose 0 = -l + 2 + z. Differentiate q - q + l*q - 3 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 - 4*h + 7 - 2*h - 4*h**2. Let t be c(-7). Suppose -2*s + 310 = -t*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 388*h - 81*h + 46*h.\nAnswer: 2*h**3 + 353*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1243847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67919841 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**3 - 3 - 8*b - 16*b**3 + 2 + 10*b**3 + 4*b**2 to the form i*b + f + h*b**3 + w*b**2 and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -4 - ((53 - 4) + -7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 8*z - 10. Let x = -1\/343 - -99\/343. Sort -0.06, x, z in descending order.\nAnswer: z, x, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t - 93. Suppose -4*h - 5*p = 137, -5*h + 104 = -8*h - 5*p. Let k = h - t. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -3\/7, -69\/5 in increasing order.\nAnswer: -69\/5, -3\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - (-16)\/4) + -2. Factor f*a**2 - 4*a + 2*a**2 + 0*a**2 + 0*a**2 - 4*a**3.\nAnswer: -4*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6*z - 5 + 0*z - 2*z**2 + 0*z + 3*z. Let r be j(-5). Let y be (-64)\/r - 1*2. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3335\/11 - 303. Let o = 3 - 5. Let q be 12\/(-14)*84\/(-18). Put q, t, o in increasing order.\nAnswer: o, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 743 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/(-6)*2\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1442012 + 138?\nAnswer: 1442151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148460 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2763540 and -113\/1000?\nAnswer: 138177000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/4 + 11*d**3\/2 + 27*d**2 - d - 152. Determine k so that i(k) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c932 - -4?\nAnswer: -6c92c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let h(g) = -368*g + 68. Let w(x) = -h(x) + 5*s(x). Let c be w(6). Round c to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b = 102*b - 325. Put -12, -2\/3, -0.4, b in ascending order.\nAnswer: -12, -2\/3, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -68. Let w = m + -69. Let n = w - -42.4. Which is the third biggest value? (a) -5 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1090 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 times 6?\nAnswer: 3270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 7.4. Let t = n + 3.4. Let u = -144 + 717\/5. What is the nearest to t in u, 0.04, -2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16\/47 + 391\/94. Factor 15*r**3 - 37\/2*r**2 - t*r**4 + 10*r - 2.\nAnswer: -(r - 1)**2*(3*r - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(252) + 1 + sqrt(252) + 5 + 1*(sqrt(252) + 1) + 2*sqrt(252) + sqrt(252) + 3 + (sqrt(252) - (sqrt(252) + -1)) + 1 + -4)**2.\nAnswer: 576*sqrt(7) + 9138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 k when three letters picked without replacement from {v: 4, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110*w + 5081*w + 4576*w.\nAnswer: 7547*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 1 - (51 - 3)) + 30 + -33?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 5*l, 5*d + l = -1 - 0. Suppose d = -4*q - 4*c + 584, 3*q + q - 580 = -2*c. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -21*b + 35. Calculate m(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*v - 165 - 15. Solve 0 = -4*q - v*b - 11 - 3, 2*q + 12 = -5*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 671*t**5\/60 + 1791*t**2. Let j(m) = 5*m. Give j(s(r)).\nAnswer: 3355*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q**(-11))\/((q*q**(-2))\/q**5) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47744674 to the power of 1\/2, to the nearest integer?\nAnswer: 6910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 9:28 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*b - 530, 93 = -h + b - 160. Let o = -3339\/13 - h. Suppose -3*d + 5*k + 1 = 0, -2*k - 3*k + 5 = 0. What is the nearest to 1 in 0.1, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50850 and 15255?\nAnswer: 152550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 11*n - 4. Let w be a(7). Suppose -32*f = -35*f + w. What is the smallest common multiple of 6 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/6 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -286 - -560. Is d\/5 + 1\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32088440348.93 + -32088364424.40400068. Let x = 75926.526 - f. Let g = x + -2. What is g rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(-3 + (-45)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.45 + 17. Let s = k - -2.35. What is the third smallest value in s, -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34852067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/249 (b) -1 (c) -2\/53 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25327 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times -137923?\nAnswer: -4689382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let m(p) = 7*p - 147. Let j(d) = -11*d + 233. Let a(w) = -5*j(w) - 8*m(w). What is a(l) + 4*y(l)?\nAnswer: 3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 3*l + 4*l)*(1 + 2 - 1) - 143*l + 305*l - 163*l - 1887 to j + p*l and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.66 - -0.133\nAnswer: -0.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, 3, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3545035 (base 6) to base 15\nAnswer: -39cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43076 or -43072?\nAnswer: -43076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/3 - 3844*u**2\/3 + 1843192*u\/3 + 3701776\/3 = 0. Calculate u.\nAnswer: -2, 962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -6b07757?\nAnswer: 6b07755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, -1, 0, 30, -19, -52 in ascending order.\nAnswer: -137, -52, -19, -1, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15541403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqtdqrqdjqdtt. Give prob of sequence djqt.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 320011222 (base 4) in base 14?\nAnswer: 5da1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7977, -31892, -71749, -127548?\n\"Answer: -7971*u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 3*x - 3*x + (4 + 2 - 2)*(0*x + 3*x - 4*x) + 0 + 0 + 2*x in the form i + t*x and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(5\/7)\/((c\/c**(-4\/9))\/c))\/(c**(2\/13)\/c*c**(-1\/8)*c))**(5\/2) assuming c is positive.\nAnswer: c**(7895\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:08 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-4) + (720004 - 2). What is s rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 15 = -4*o. Let l(m) = -m**2 + 3*m + 2. Let u be l(3). Find the third derivative of -2*x**o - 5*x**2 - u*x**4 + 4*x**2 - 2*x**2 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2*i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*b**6 + b**4 - 400078*b**3 - b**2 + 916887*b + 6?\nAnswer: -3120*b**3 + 24*b - 2400468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222 + 222 + 26*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -27.3. Which is the third smallest value? (a) m (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Find the third derivative of -k*w**2 + 7*w**2 + 4*w**6 + 0*w**6 wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154199.\nAnswer: 271, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6108793021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1043*y + 8779*y**2 + 19600 + 46*y**3 + y**4 - 571*y - 8530*y**2 - 4826*y.\nAnswer: (y - 5)**2*(y + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1815 - -1815.12. What is the second smallest value in 0.5, k, -36?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let v be ((-16)\/20)\/(2\/(-20)). Let x(y) = -9*y + 3. Let f(b) = -3*b + 1. Let l(s) = 11*f(s) - 4*x(s). Determine v*j(p) - 3*l(p).\nAnswer: -p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-6 - -14 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4\/5 + 144918*a**3\/5 + 2029341*a**2\/5 + 956736*a = 0.\nAnswer: -11, -3, 0, 48320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 53*p**2 + 71*p - 284. Determine r(28).\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296649?\nAnswer: 1296649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wwppppwppw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023139627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q**2 + q + 1. Let a(f) = -36*f**3 - 3*f**2 - 2*f - 3. Determine -a(t) - 2*g(t).\nAnswer: 38*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j + 11. What is a(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 748\/7 - 107. Let v = 1 - -2. Sort v, b, 2.\nAnswer: b, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 1\/5, -0.01, -0.3, -0.5, 11, -11\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 117936398 divided by 3\nAnswer: 117936398\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -32 + 5 + 4*q - q. Let f be r(10). Solve -3*j - 14 = -f*z - 2, -16 = 2*j - 4*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -9883106.801.\nAnswer: -9883110.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14114.\nAnswer: 2, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -0*q. Find the third derivative of 4*o**2 - 2*o**2 + q*o**5 - 2*o + 2*o wrt o.\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 8:28 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + i + 35, 5*r - 8 - 67 = 5*i. Suppose 0 = -7*k + 2*k - r. Let s = 2 + -3. Which is smaller: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j. Let m(q) = 3*q + 1. Give -m(a) + 5*z(a).\nAnswer: -13*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 12*l**2 - 95*l - 734. Let p be z(-7). Calculate the highest common divisor of p and 5536.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3622983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 12. Let a be g(-6). Let o be -4*a\/72 - 226\/(-6). Suppose 0 = 42*i - o*i + 12520. Round i to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*6 - 3. Factor -3 + h*p + 3*p**2 + 3*p + 3*p**3 - 6*p.\nAnswer: 3*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3234, 3739, 4258, 4797, 5362, 5959?\n\"Answer: a**3 + a**2 + 495*a + 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/((-10)\/3))\/(3537\/(-2358)). Factor 1\/5*p**2 + n - 2\/5*p.\nAnswer: (p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 34?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - 4*sqrt(2)*-2)**2.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (12 - 8) + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -33. Let s = n - 3. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**2 + 14 - 3*y**3 - y**3 + 2.\nAnswer: -4*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2 + 775*r - 393. Let g be q(-78). Sort g, -2\/15, 0.1, 0.5, 4 in descending order.\nAnswer: 4, 0.5, 0.1, -2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n - 59. Let y be j(11). Let b(t) = t + 4. Determine b(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 divided by -317?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 422092 = -3*y, -5*y = a - 0*a - 703498. What is y rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60983488*0.5\nAnswer: 30491744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.01, -0.5, 2\/119?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 11*v + 36. Let c be j(8). Let u(z) = -41 - 10*z + c*z + z + 14. Give u(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 3*y**2 - 5*y**2. Let r(p) be the third derivative of -p**4\/24 - p**2. What is j(r(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8395673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5965.087ml to litres.\nAnswer: 5.965087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*h = -30, 3*b - 8*b = 4*h - 106. Find the second derivative of -76*q**4 - 8 + 251*q**4 + b + 6*q - 16 - 3*q wrt q.\nAnswer: 2100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 + (-3 - -4). Suppose -2*c + 24 = -f*k, 55 = c + 4*c - 4*k. Calculate the highest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 360025389 or 360025393?\nAnswer: 360025393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + v - 2. Let k be b(-7). What is the greatest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -20. Let f be -1*(i*4 + 4). Suppose -44 - f = -4*k. What is the remainder when 34 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (-6 + -7 + 0 - -41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 divided by -59?\nAnswer: -1280\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/14, 1, -0.3, 16, -2\/5 in ascending order.\nAnswer: -2\/5, -0.3, -3\/14, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253.888 - 254. Is 0.1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n + 1. Let w be m(-1). Suppose -25 = -w*p + 3*p. What is the closest to 1 in -4\/7, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 24501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.9, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.8 and -26?\nAnswer: 228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**(1\/24))\/a)\/a))\/a**9*((a**(1\/2)\/a)\/a)\/a*a*a**(-2\/11) assuming a is positive.\nAnswer: a**(-2303\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -14. Let c = 10 + y. Differentiate -1 + o**3 + c - 1 wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b620b0 (base 12) to base 3\nAnswer: 102000021020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 3160*p**2 - 5782775*p - 1506970250.\nAnswer: 5*(p - 1522)*(p + 445)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**3 - 4*p**2 - 8*p + 1. Is k(4) 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 {j: 13, s: 1, p: 3}. What is prob of sequence psj?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*d - 8 = d, 4 = a + 5*d. Suppose 37*f + 3*r = 41*f - 844, -a*f - 3*r + 844 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 + 774\/(-27))*3\/(-12)*2. Let q be 2\/6 + 6\/(-9). What is the closest to q in 0.3, f, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 234 = -8*n + 5*n, 4*i - 264 = -10*n. Solve -3*j + 59 = i for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4560 is divided by 4543?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - 15*i. Let p(j) = 2*j**3 + 676*j**2 - 77*j. Determine 5*m(l) - p(l).\nAnswer: -2*l**3 - 666*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3*((-465)\/(-124) + -6). Let v(b) = -13*b**2 + b. Let q be v(1). Put r, q, 5 in decreasing order.\nAnswer: 5, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740050521.\nAnswer: 3, 7, 3851, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -11 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-9 - 85 - (-9 - -16)) + 21\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15*h + 87. Let k be d(-3). Let l be k*(1 + 0 + 0). What is l rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 74, 3, -1, 16?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111992512?\nAnswer: 2, 3, 7, 29, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/30*1475\/472*(-1 + 7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -544, -807, -1068, -1327?\nAnswer: -1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oook when four letters picked without replacement from {o: 8, k: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 y, and 1 o when four letters picked without replacement from {o: 1, y: 1, g: 4, r: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 3*q - 3*q + (-q - 1 + 1 + (0 + 1 + 1)*(q - 3*q + 4*q) + 4*q - 2*q + q)*(-6 - 2 + 3)*(-5 + 5 + 4*q).\nAnswer: -119*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o. Let v be f(-10). Let t(x) = x**2 - x + 3. Let z be t(v). Suppose 0*j = -z*j + 30. Calculate the remainder when 29 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -110 + 124. Find the common denominator of i\/(-14) + 460\/56 and 83\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 372*d*l**2 + 6*d*l - 427*d - 2*l**3 + 4*l**2 wrt l?\nAnswer: 744*d - 12*l + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-36)\/(-3) + -5 + 8. Solve 6*k - v = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 5, -1\/3, -4 in decreasing order.\nAnswer: 5, -1\/3, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 + 2242*t\/13 - 231040\/13.\nAnswer: 2*(t - 95)*(t + 1216)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 253150451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13863*s - s**3 - 4 - 6*s**3 + 28279*s - 14416*s.\nAnswer: -7*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5675911341206+3.3\nAnswer: -5675911341202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = 4*x - 3*x, 4*c - x = -1. Let z(u) = -17*u**2 + 2*u - 1. Determine z(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4661, 1981, 19923, 49165?\n\"Answer: 5650*v**2 - 10308*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50585531651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*t = 10*p - 2, 0 = 3*p - 3*t. Suppose 4*n - k - 27 = 0, p*n = -5*k + k. Find the third derivative of -17*q**6 - q**n - 83*q**2 + 53*q**2 wrt q.\nAnswer: -2160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (16 - -3) - (-2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 1\/60*u**5 + 0 - 1\/24*u**4 + 3*u**2 - 1\/6*u**3 + 0*u. Calculate the remainder when t(-2) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2. Let q be 2\/1*(3 - 2). Let l(k) = -q*k - 16 + 9 + 4*k - 13. Give l(b(w)).\nAnswer: -4*w**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:31 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13033\/12 + 1013\/6. Let h(r) = -911*r**3 + r**2 - 2*r + 1. Let s be h(1). Let d = o - s. Calculate the common denominator of d and -6\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 - 298 = -13*s. What is the smallest value in s, -3, 8.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 - -208\/3. Which is the fourth biggest value? (a) -20 (b) 2\/3 (c) 0.5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1577988 divided by -228\nAnswer: 6921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8beb2e (base 16) to base 5\nAnswer: 4321412320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-18) + -1)*(-48)\/(-168)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4760 = 3*q - 25611, -5*q = 3*o - 34741. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 471258, 471228, 471198?\n\"Answer: -30*x + 471288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:48 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(3\/2)\/k)\/k*(k\/(k*((k*k\/k**1)\/k)\/k))\/k)\/(k**(-1\/7)\/k*k*k**2\/k*k))**(8\/7) assuming k is positive.\nAnswer: k**(-132\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 105126473 + -2?\nAnswer: 105126471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 995 in -0.4, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2, -6*r = -5*c - 8*r + 54. Solve 5*o + 26 = 3*m - 0, 3*o = -m - c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/((0 - 2) + 5). Let t(g) = -g**3 - 3*g**2 - 3*g - 10. Let l be t(p). Calculate the highest common factor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 117) + 4 + (0 - ((6 - 2) + -4))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176573258 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d**2 + 13*d**2 + 20 + 14*d**2 - 49*d**2 - 2*d in the form v*d + k + j*d**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2279, -8152, -17623, -30698, -47383, -67684?\nAnswer: -91607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2048 and 2044 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61493068597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42215 + -30043. Suppose 5*p = -152828 - y. Round p to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3103, 2688, 1995, 1024?\n\"Answer: -139*f**2 + 2*f + 3240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/12 + (-458)\/40 and 1 + 5*19\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*-1)\/2*(-12)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640 + 639.9922. Round u to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -16298.42266713.\nAnswer: -16298.52266713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 + 30 = -13*z. Let k(w) be the second derivative of w**4\/24 - 19*w**3\/6 - w**2 - 2*w. Let j(d) be the first derivative of k(d). Determine j(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 3 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 12*y**2 + 2*y - 366. Determine i(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90870 - 90862. Suppose -2*d + 31 = 5*p, -4*d - p = -4*p + 3. Solve v*i - d*i = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11952934 and 18.\nAnswer: 107576406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -660*q. Let j(r) = 9*r**2 - 5*r - 3. Give z(j(x)).\nAnswer: -5940*x**2 + 3300*x + 1980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7923464 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/4 (b) 2\/5 (c) -1\/2 (d) -0.55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48377 rounded to two decimal places?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*l**2*q + 31*l**2 + 4*l*q - 1250*l - 893322081*q wrt l.\nAnswer: 24*l*q + 62*l + 4*q - 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 13.1. Let y = q - 13. Let o = y + -0.3. Sort -3\/2, o, 1 in ascending order.\nAnswer: -3\/2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let m be -1*1\/2*c. Let y = -0.3 + 4.3. Is y >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:04 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -1\/120*s**6 - 1\/6*s**5 + 1\/3*s**4 + 4\/3*s**3 + 0*s + 0 + 2*s**2. What are the prime factors of a(-11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + t = -0*a, -5*a + t = -14. Suppose 0 = -3*q + a*s - 7*s + 53, s = -q + 15. Let h = -10 - -10. Sort 1, h, q.\nAnswer: h, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = g + 3*v + 1, -4*g - 3*v = 17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h - 1812. Let s = -1\/1945508 - -17545563903\/9727540. Let f = h + s. What is the common denominator of f and -65\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*l = -12, 0 = 4*a + 3*l + l. What is the lowest common multiple of 1 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19761672)\/206568)\/(2\/6*-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/10)*h))\/h)\/h**(-2\/5) assuming h is positive.\nAnswer: 1\/sqrt(h)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26534276 to the nearest integer?\nAnswer: 5151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 38454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/9039 and -157\/18078.\nAnswer: 18078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000731884 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19589 smaller than 19589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = 2. Let t(j) = -5 + 0*j**2 - j**3 - 2*j - 3 - 7*j**2. What is the units digit of t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5487, 5486, 5485?\nAnswer: 5484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -8?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = b - 3*l, -6*l - 20 = -3*b - l. Solve b = 5*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*m + 55. Suppose -143 = -2*q - 9*q. What is the highest common divisor of m and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1550281?\nAnswer: 1550284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38107811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 35 = 56*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -34, 38 in descending order.\nAnswer: 38, 6, 2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 853.330574 rounded to 1 dp?\nAnswer: 853.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64, -56, -48, -40?\n\"Answer: 8*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a**2 - 12*a**2 - 2*a**3 + (3*a**2 - 2*a**2 + a**2)*(2*a + 3*a - 3*a)*(-2 + 1 - 1).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*v - 180. What is the lowest common multiple of v and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -k - 5, 2*m = -4*k. Let g(j) be the third derivative of 0*j**3 + 0*j - 1\/15*j**5 + 0 + 1\/12*j**4 - 2*j**m + 1\/60*j**6. Solve g(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42108 (base 11) to base 3\nAnswer: -10010011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -452182962 divided by 1947?\nAnswer: -232246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2067 and 89\/6890.\nAnswer: 20670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -4, -3, 0.38?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u + 3*u)*(5 - 3 + 3)*(3 - 2 - 3).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8555800333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15935, -31870, -47793, -63698, -79579?\nAnswer: -95430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8495675 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3606, -3599, -3596, -3597, -3602, -3611?\n\"Answer: -2*z**2 + 13*z - 3617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-1)\/2*0. Let a be f\/((3 - 6)\/72). Suppose 4*p - 216 = 3*p. What is the greatest common divisor of p and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000060939 to 7 dps.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 - 29 = 0. Let y be -9*(-10)\/x*27. Suppose d = 3*d - y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + g. Suppose g = 5*c - x - 36, x + 9 = 3*c - 11. Let m be (-6)\/c + (-36)\/16. Let n(d) = -d - 4. Calculate n(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 + 3*n - 4. Let s be d(-5). Solve 4*b - 5*o - 16 = 0, -s*b = -3*b + 3*o - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 - 195*a**4 + 2*a - 67 + 96*a**4 + 11 + 103*a**4 to the form m*a**3 + x + j*a**2 + u*a**4 + q*a and give x.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-12 - 68 - -21) + -3 + 2 + 14.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*a = 5*a - 19, -4*a - 12 = -t. Let k = t + -8. Let g be (-2)\/k - (-82)\/8. Calculate the greatest common factor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(9 + 1 - 4)*(0 - 7 + 0)*(i + 0*i + i)*(-i**3 + i**3 - 2*i**3).\nAnswer: 504*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxx when three letters picked without replacement from {y: 10, x: 4}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04943 - -0.052. Round l to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 254*l**4 + 750*l**3 + 746*l**2 + 248*l.\nAnswer: 2*l*(l + 1)**3*(l + 124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872) + sqrt(1872) + 1))*6 + 3)**2*-1.\nAnswer: -46809 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1351139?\nAnswer: 29, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89*q**3 + q**2*z + z + 96 wrt q.\nAnswer: -267*q**2 + 2*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1750139?\nAnswer: 23, 47, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 7:11 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3261 = 2*v - 6*v, -4*u = 3*v - 2608. List the prime factors of u.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m - 136214 = 379574. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79540 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 520*l**2 + 7*l - 11. Let v(w) = 990*w**2 + 13*w - 23. Let a(k) = 5*o(k) - 3*v(k). Factor a(c).\nAnswer: -2*(5*c + 1)*(37*c - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(54\/(-24)) - -7. Suppose -d*b + 305 = 4*q, 183 = 3*q + 4*b - 37. What is the greatest common divisor of q and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {x: 1, w: 4, m: 2, a: 5, d: 2}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 30 = -2*g, 2*g + 2*g - 2*z + 44 = 0. Let q = 53\/4 + g. Let l = -5.02 + 0.02. Sort l, q, -0.5 in descending order.\nAnswer: q, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:29 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*d + 26. Let h be d\/(-18) + 6520\/18. Round h to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 3*s. Suppose 0 = -w - 5, -9*u + 11*u - 11 = w. Let k(q) = -q**2 - 3*q. Give u*g(x) - 2*k(x).\nAnswer: 3*x**3 + 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -0.10563854\nAnswer: 5.10563854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11195 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6542.027 to the nearest ten.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 3:08 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-82 - (-31 + -41))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13364 = 7*k + 904. What are the prime factors of 4\/10*2*k\/8?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80371 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/992 and 11\/20.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnj when three letters picked without replacement from jfjfjfnn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 + 40*w**2 - 3*w - 40. Let y(a) = 14*a**3 - 119*a**2 + 8*a + 119. Let l(g) = -8*d(g) - 3*y(g). Find the first derivative of l(v) wrt v.\nAnswer: -6*v**2 + 74*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Suppose 89*y - 19*y = -700. Let v(j) = 13*j**2 - 5*j. Calculate y*s(t) + 2*v(t).\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-2)*40\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 3. Let j be n(-5). Let v = j - -10. Suppose a**2 - 2*a**3 - 4*a**v - 7*a**2 + 9*a**3 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from nnwoonnonwnwonwn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 88621129 take away 13827?\nAnswer: 88607302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4 - 2 + 5*c + 3. Let l(b) = -b. Let s(d) = a(d) + 6*l(d). Let q be s(-4). Let n(w) = 7*w + 1. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2082631*m - 1109286*m + 206071*m - 387587*m.\nAnswer: -3373433*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*n**2 + 11*n - 298.\nAnswer: 24*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -5 (c) 0.3 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 485, 1945, 4379, 7787, 12169, 17525, 23855?\n\"Answer: 487*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -4, -19, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68484848*m**4 - 214178405*m wrt m.\nAnswer: 821818176*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -46. Suppose -13 = -2*q - c, 2*j + 2*q = 68. Let a = j - 13. Solve n = 5*n + a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*w**5 - 3380*w**4 + 54944*w**3 - 55648*w**2 - 71744*w - 16192 = 0. Calculate w.\nAnswer: -46, -2\/5, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/226 and 6.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.295 + 3.595. Sort -2\/9, -6, h, -5 in descending order.\nAnswer: h, -2\/9, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -35. Let p = t + 3. Let c = -8.3 - p. Sort c, 2, -3.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - (-66)\/18)*(-2 + 1). Suppose 3*x = -2*x. Let r = 7.1 + -0.1. Which is the biggest value? (a) t (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107584842 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33315794 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/3))**(2\/45)\/((d*(d*(d\/d**12*d*d)\/d)\/d)\/((d*d*(d**(-3\/4)\/d)\/d)\/d)))**(-14) assuming d is positive.\nAnswer: d**(-27461\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m. Let r(t) = 4*t. Let n(h) = 2*h + h + h - h. Let v(b) = -3*n(b) + 2*r(b). What is v(z(l))?\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u. Let x(w) = 40*w**2 - 16*w - 16. Let t(l) = 13*l**2 - 5*l - 5. Let c(b) = -16*t(b) + 5*x(b). Determine c(a(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) - 99\/132. Let r = -1320\/7 + 188. What is the second biggest value in r, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1759585 and 1496?\nAnswer: 154843480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q. Let s(d) = -6*d. Let u(r) = -4*r - r - 4*r + 2*r. Let v(x) = -5*s(x) + 4*u(x). Calculate b(v(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-6)*1296\/(-1188))\/(1\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13696 by -3424.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-96))\/(61\/2440)*-15.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -315.2 from -20837.\nAnswer: -20521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*m + 545 + 3679 = -58*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-49400)\/(-30400) - 37\/24\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 8, 3.\nAnswer: -4, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.70978 and 0.04.\nAnswer: -0.0683912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3304\/(-4130) + (-14)\/(-5). Suppose 0 = 4*r + 4*i, 4*r + i - 35 = 4*i. Solve 2*n - 5*n - 5*f + 13 = 0, 0 = w*n - r*f + 33 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -122.21. Let q = z - -1.91. What is q rounded to one decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 158743, 2, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2219 + 86*l**2 - 1133 - 1098 to the form j*l + o*l**2 + a and give o.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.6, 0.3, 0.08721, 16 in descending order.\nAnswer: 16, 0.6, 0.3, 0.08721, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2624946, -2624947, -2624948, -2624949?\n\"Answer: -j - 2624945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 7. Calculate g(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2978 divided by 6.\nAnswer: 1489\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7295\/8 - -912. What is the nearest to 6 in -0.04, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 6636 = 3*p. Calculate the remainder when (354\/8)\/((-237)\/p) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -44, -127, -282, -533, -904, -1419, -2102?\n\"Answer: -4*d**3 - 7*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -35916*s**3 - 656*s - 656. Let g(r) = -164*r**3 - 3*r - 3. Calculate 656*g(d) - 3*o(d).\nAnswer: 164*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -1 (b) 0.3511 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 18*h**2 - 6*h**2 + 0*h.\nAnswer: -24*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 118 = 2*t, -1 = j + 3*t - 38. What is the greatest common divisor of 70 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + 0 - 3. Let o be t - -4 - 6 - -78. Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 0.01, 0, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:24 AM?\nAnswer: 713","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 8 + 3398 = 0. Let u = w - -75. What is the remainder when u is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 5, -0.2, -1\/2, -0.24, 1164, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2962559 >= -2962560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 7*z + 3*z. Let w be 4 + 0 + 0\/1. Let a(m) = 2*m + m - w*m. Determine y(a(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162310 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 357693.8507 rounded to the nearest one hundred?\nAnswer: 357700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:21 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 43. Calculate the common denominator of (-141)\/(-6) - (-14)\/21 and 1032\/n*(-2)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 26 = 0, -470 = -3*j + 3*x - 434 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -975 - 3?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18416, 18412, 18408?\n\"Answer: -4*z + 18420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4288*j**2*u**4 + 4*j**2 - 691*j*u wrt u.\nAnswer: 51456*j**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*d**5*k - 1625*d**3*k**2 + 16402*d*k**2 + 2*k**2 wrt d?\nAnswer: -360*d**3*k - 9750*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 1, 2\/5, -2.1, -4, 5?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2945 + 2944.988479. What is z rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 5886570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 648c - -4?\nAnswer: 6493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -34.12. Let h = -746.88 + 747. Let t = j - h. Which is the smallest value? (a) t (b) 0 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.066000701 + -0.06596. What is y rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (1*-3)\/(-3). Suppose s*p - 5*d - 5 = 0, -2 = -2*p + p + 2*d. Suppose p*l + 3 = l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20246000651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1055*p**2 - 99*p + 183. Let u be n(2). Is u at least -4235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 14 + 1\/9*c**3 - 1\/3*c**2 + 0*c. Factor k(o).\nAnswer: o*(o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.7, -17, -707, -0.5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 1972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 506 - 227 = 3*w, 2*w = 2*y - 1454. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 127264*f\/15 - 84856.\nAnswer: 2*(f - 63642)*(f + 10)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from drbbdbdubdjrddb. Give prob of sequence uj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 - 267*v - 1116.\nAnswer: 3*(v - 93)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-108)\/72 + (-3)\/2 + 1. Sort h, 1.59, -0.4, -5 in descending order.\nAnswer: 1.59, -0.4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224.481121 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292094921 is divided by 3187.\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 3*z**3\/2 + 3*z**2 - 3*z. Let a be h(-3). Let o = -19 - a. What is the third biggest value in o, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40709\/32 - -1272. Let u be (-5342)\/(-6336) + (-8)\/(-36). Let n = u + f. What is the common denominator of 4 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 330, 329, 328, 327?\n\"Answer: -k + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12900, -12904, -12898, -12876, -12832?\nAnswer: -12760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047365 rounded to five dps?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139237 a multiple of 290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16593 and 4824?\nAnswer: 26681544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 14 (b) 0 (c) 2 (d) -7\/78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/6*(2654 + -1)*(141 - 144) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/21 equal to -10789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -4 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-3*z**2 - 2*z**2 + 4*z**2) - 3*z**2 + 3*z**2 + 3*z**2 - 291*z + 291*z - 293*z**2.\nAnswer: -291*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 70324.56ns?\nAnswer: 0.07032456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -7 - -10) + (13 - 10 - -43 - -5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**3 + 5*l**2 + 4*l - 9. Let b(i) = -5*i**3 + 3*i**2 + 2*i - 5. What is 5*b(h) - 3*d(h)?\nAnswer: 2*h**3 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/9 (b) -1\/8 (c) 0.0349 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 at most 204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 16*m**2 + 8*m - 167. Calculate the remainder when d(-18) is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -600 + 639. Let i(k) = 159*k + 165*k - 324*k + p*k**2. Let y(a) = -2*a**2. Calculate i(y(x)).\nAnswer: 156*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24086, -20548, -17010?\n\"Answer: 3538*g - 27624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 46*j**3 - 101*j**3 - 4*j**2 - 3*j + 28*j**3 + 43*j**3 + 0*j. What is w(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -6*u + u + u in the form o*u + w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 32 - 24 - (2 + 7)) + 6.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 2*h**3\/3 + 1. Let m(q) = q - 1. Let a(x) = -x + 2. Let v(y) = 2*a(y) + 4*m(y). What is v(k(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432777\/2 + 86556001\/400. Let s = -3\/50 - t. Find the common denominator of 7\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855487511.\nAnswer: 73, 3067, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*x - 15. Suppose -x*q + 50 = 2*q. Calculate the greatest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6414 + -3217. Let w = s - 1018. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Suppose 0 = -0*v + z*v - 50. Calculate the remainder when 18 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30770577 take away 184159?\nAnswer: 30586418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b68 + 3?\nAnswer: -2b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 + 260. Suppose b + 25 = u. Suppose -7*q - b = -12*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 12. Solve 3*s = -l - f*l + 6, 0 = 4*l - 2*s - 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58020 is divided by 52882.\nAnswer: 5138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79548 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -288 + 134. Let s = b - -216. Suppose 2*r + 0*r - s = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.043 + -0.357. Suppose h = 1 + 1. Let w be (h\/15)\/((-18)\/30). Which is the biggest value? (a) l (b) w (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*l = 1115 + 1549 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*r*z**5 + r*z**2 + 184*r*z - r wrt z?\nAnswer: 940*r*z**3 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 15*k + 26. Let j be a(9). Let l = -12 + 97. What is the second derivative of 7*p + 8*p - j*p**2 + l*p**2 wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 4*g - 83 = 15*p, 2*g = -3*p + 235. Suppose -4*v + 11 + 73 = 0. Calculate the remainder when p is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**5\/60 + t**4\/8 + t**3\/3 - t**2 - 35. Let n(s) = -s**2. Let z be n(-2). What is the units digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*z - 12 - 31, 5*z - 4*i - 71 = 0. What is the greatest common divisor of z and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73246 is divided by 221?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694091, 694093, 694095?\nAnswer: 694097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*5\/(-6)*2*-16. What is the greatest common divisor of x and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f - 2*f)*(10*f + 5*f - 2*f + 2*f + 2*f - 3*f + (2 - 3 + 3)*(-19*f + 14*f + 20*f)) to i*f**2 + n*f + s and give i.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*f - 46*f - 3 = 0. Put 0, -1, f in decreasing order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*j + 79. Does j = -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/5)\/18 + -1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184 divided by -12?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m - 7. Let r be i(5). Suppose 0*c = r*c + 9. Let u = c - -13. What is the remainder when 19 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -612, -977, -1358, -1761, -2192, -2657, -3162?\nAnswer: -3713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1172628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 41*s + 1. Let d(r) = -8*r - 1. Let b(c) = -5*d(c) - g(c). Let h(n) = n - 4. Let x = 0 - -4. Let m be h(x). Determine b(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 3*w)*(-3*w + 3*w - 2*w) - 3*w**2 - w**2 - 2*w**2 + (-3*w - 1 + 1)*(-2*w + 3 - 3).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (106\/95)\/((14 + (-282)\/20)\/(-1))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1150593.\nAnswer: -575296.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*r + 4576 = 251*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z*(z*z**15*z*z)\/z)\/z)))\/z**(-31) assuming z is positive.\nAnswer: z**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h + 201 = 5*h - 87 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34763885*d + 10443218.\nAnswer: 34763885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17459 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u + 1. Let a(y) = -y**2 + 18*y + 2. Let c(d) = a(d) - 2*s(d). Let t(m) = m. Calculate t(c(x)).\nAnswer: x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8560\/82390)\/((-4)\/22)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwz when three letters picked without replacement from wzzzwzwzwwzw?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2\/7, 3.4, 69, 5, -289?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -3*d**2 + 0*d + 1\/12*d**4 + 0 + 1\/3*d**3. Suppose 3*y + 9 = -0*y. What is k(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -385 + 394. Let v(w) = 391 - 3*w**3 + 11*w - n*w**2 - 15*w - 386. Let g(q) = -q**3 - 4*q**2 - 2*q + 2. Calculate 5*g(o) - 2*v(o).\nAnswer: o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcj when three letters picked without replacement from jkzjzjhzjjkzjjcjjjc.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 1956 + 3845 = 100*g - 4666 for g.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**12)*l\/(l**(2\/21)\/l)*l)\/(l**19\/(l\/l**(-26))) assuming l is positive.\nAnswer: l**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 2*r**7\/105 - r**5\/30 - 5*r**2\/2 + 3. Let p(f) be the second derivative of x(f). What is the third derivative of p(a) wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/60 + d**2. Let q(y) be the third derivative of 0*y**3 + 0*y + 0 + 5\/24*y**4 - 24*y**2. What is q(u(b))?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/((-441)\/(-56) + -6). Let z = 3 - 2.9. What is the closest to z in -0.5, i, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -0.1 (c) 5 (d) -28 (e) 1828\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**3 - 20*k**2 + 3125*k + 12500 = 0?\nAnswer: -25, -4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 + 10*q + 940. Let v(p) = 5*p**2 + 16*p + 1407. Calculate 8*r(d) - 5*v(d).\nAnswer: 7*d**2 + 485","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25431*x + 5. Let j be o(-7). Let y = 478022 - j. What is y rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51108174113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 + 5*z + 13. Let q be a(6). Let s be (-566)\/(-5)*q\/(56\/20). Let w = s - 184. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485339 is divided by 411.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24167*a*h*x + a*r*x - h*r*x + 393*r*x - 823*x - 1 wrt a.\nAnswer: -24167*h*x + r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490592585 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279220 or -279218?\nAnswer: -279220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-8))\/((-6039)\/756 + 8). List the prime factors of ((-540)\/r)\/(4\/154).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 5*k - 5. Suppose -67*b + 2916 = 107*b + 150*b. Let u(h) = -h + 1. Give b*u(g) + 2*f(g).\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 6*q - 17456 = -17363, 0 = -4*x - q + 38 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 21. Let w be x(21). What is the biggest value in -0.005, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-3*2 - (sqrt(3) + (sqrt(33)\/(sqrt(22)\/sqrt(2)))**2)) + -1.\nAnswer: -7*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.89 - 0.11. Let i = -1.4 - 0.6. Let d = w - i. What is the nearest to d in -0.4, -2, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Suppose 3*u - 2*u - 14 = -2*z, 5*u = q*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -42\/65 (c) -1\/4 (d) 0.666 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1567 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/273 - (8 + 226\/(-28)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q**2 - 9*q**2 + 2*q**3)*(171 - 85 - 88 - 56*q).\nAnswer: -112*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a factor of 2101196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 43\/2. Let r = 2576\/13 - 198. What is the second smallest value in -4, x, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8330 - 955?\nAnswer: -9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -15, -3.\nAnswer: -15, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495902?\nAnswer: 2, 11, 22541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 216858439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2. Let c(b) = 3*b**3 - 6*b**2 - 2*b. Let k(j) = 11*j**3 - 25*j**2 - 9*j. Let a(q) = z*k(q) + 9*c(q). Find the third derivative of a(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 7*d = s - 3438, 5*s - 5*d - 17270 = 0. What is s rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 94457341 and 1580876.\nAnswer: 377829364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:36 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56850 (base 13) in base 3?\nAnswer: 21222220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 12*l + 10. Determine v(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*o - 18*o**2 + 64*o + 4*o**2 + o**2 + o**2 + (2*o**2 - o + o)*(-4 + 2 + 0) in the form q*o**2 + t*o + m and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*w - 652, -5*h + 14*w - 16*w = 636. Let t be (-1)\/(-3) + (-383)\/(-3). Let k = h + t. Solve 5*l = k*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*s*u**4 - 145*s wrt u?\nAnswer: 60*s*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 5*c**4\/24 - 17*c**2\/2 + 23*c. Let s(y) be the first derivative of m(y). Let n(u) = 0 + 0 + u. Determine s(n(d)).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6803296*b**2*f + 2*f - 3416075 wrt b.\nAnswer: -13606592*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 - 17 = -x, 18 = 3*h + 4*x. What is the greatest common factor of h and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g - 96 = 9*g + 974 + 40 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.3 + 13.91. Let l = 0.327 - a. Let i = l + 0.29035. Round i to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 12 = -5*m + 5, 2*j + 2*m - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*c + 2*o, -2*c = -4*c + 5*o. Let g = c - 6. Let l(q) = q**3 - q**2 - 2*q - 1. Let y be l(-1). Put y, g, 0 in decreasing order.\nAnswer: g, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*r - 152*r - 50 = 10 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 + 2) - (11 - (-17 - 17))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2)\/a**(-2\/9)*(a**(-1)\/a)**(1\/7) assuming a is positive.\nAnswer: a**(-130\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, -203, 18, -4, 2, 1 in increasing order.\nAnswer: -203, -4, -1, 1, 2, 18, 24","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let a(g) = 4*g - 123. Calculate a(d(s)).\nAnswer: 8*s - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2695129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*u - 37*u + 155 - 152)*(u + 2*u - u) as h*u**2 + p*u + w and give h.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11a5 - 32566?\nAnswer: -313b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**5 + 2*q**5 + 3*q**5 - q**5 + q**5 + 8*q**5 + (3*q - q - q)*(0*q**3 + 0*q**3 + 2*q**4).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.793 times 0.1?\nAnswer: 1.7793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46995.\nAnswer: 3, 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14243 + 2*p**3 - 7*p**3 - 14243 + 2*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssqssqrq. What is prob of sequence qssq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -2\/129, -98, -9561?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = 0, f - 5*f = -4*z - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/4 (c) -131\/4 (d) -12\/11 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 146004 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -81. Suppose 5*k = -5 - 10. What is the fourth smallest value in g, -1, k, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212\/5 or -1?\nAnswer: -212\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 3421\/276 - (-11 - -12). Let a = -149\/23 - r. Find the common denominator of -67\/3 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 211*l**6\/120 + 107*l**3\/3 + 142*l**2. What is the first derivative of y(o) wrt o?\nAnswer: 633*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i + 7. Let c(f) = -f**2 + 4*f - 8. Let u = 6263 + -6259. Give u*s(x) + 5*c(x).\nAnswer: -x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3383 + -0.3383. What is the nearest to -8 in 0.1, x, 0.5, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/186 and 10\/3.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 25. Let f = p + -21. Is 18 a factor of ((-48)\/f)\/((-12)\/(-64))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -27*y + 45. Let s(f) = -5*f - 1. Let x(k) = j(k) - 2*s(k). Let w(d) = -6*d + 16. Determine 11*w(m) - 4*x(m).\nAnswer: 2*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10388331 divided by -1389?\nAnswer: -7479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*z = -5*t - 414, -t = -5*z - 402. Suppose 3*n - 376 = t. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -60*b + 67*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(2\/2). Let r(m) = -m**3 - m**2 + 30. Let a be r(j). Is 12 a factor of 1 - 2 - a\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1265 and 920?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1086 and 41\/19908.\nAnswer: 3603348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/63 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/2475 and -197\/52847190.\nAnswer: 264235950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**4 - 564*y**3 + 1172*y**2 + 4020*y + 2288 = 0.\nAnswer: -143, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 + -292. Solve -a = -3*s + 5*k + 4, 4*s + 16 = -2*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451740 is divided by 495?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -124.46252376 to one decimal place.\nAnswer: -124.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 14*y**2 - 319*y + 186. Calculate f(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.7, 0.3, -0.075, -6, 7 in increasing order.\nAnswer: -6, -0.4, -0.075, 0.3, 0.7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(133)*1 + sqrt(133) + sqrt(133))\/sqrt(7))*-2)**2.\nAnswer: 120*sqrt(19) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklkklklkk. What is prob of sequence kll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 46. Let c(i) = -i + 23. What is -5*c(w) + 3*f(w)?\nAnswer: 2*w + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6064727947?\nAnswer: 6064727947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 38, -4\/11, 0, -4, 12 in increasing order.\nAnswer: -4, -4\/11, 0, 4, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4712 - 1.56. Let y = -0.9 + q. What is y rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 78.3 + -85.9. Let u = -8.1 - g. Let j = -8 - -5. Put -1, u, 0, j in decreasing order.\nAnswer: 0, u, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.401946867 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4684, 18248, 40834, 72442, 113072, 162724?\nAnswer: 221398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 + 30 + 33 - 30*x - 112 - 23*x in the form k*x + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 10*f**2 - 7*f - 17. Let v be m(9). Let i be 7 - 5 - (-13)\/v. Solve -n - 3 - 5 = -5*y, 3*y - i = 4*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 + -36.9. Let j = 55.8 + -56. Let b = 118.3 - 118. Sort i, b, 0.2, j in increasing order.\nAnswer: j, i, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*j - 93 = 0, j + 96 = 3*y + 5*j. Let q be 8\/8 - 1\/(-2)*82. What is the greatest common divisor of q and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x + 4*m = -4, 0 = 4*x + 5*m - 13. Let g(s) = -2*s + 15*s**2 - 6*s**2 + 28 - 32 - 6*s**x. What is g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0.03 (b) 0.1 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 35 = 3*c + 2*i, -c - 5*i = -30. Suppose -c*u + 188 - 503 = 0. Let a = 16 - u. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-80))\/((-9)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2380)\/1275 + 4\/(-30)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54189 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: What is the first derivative of -3402390*l**2 - 293833 wrt l?\nAnswer: -6804780*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.3 + 21.6. Let d = 5.7 + a. Let s = d - 11.99646. What is s rounded to 4 decimal places?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63904 is divided by 3056?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82917543.\nAnswer: 3, 27639181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -4*(sqrt(76)*2 + sqrt(76)) - (sqrt(76)*2*-6 - sqrt(76)))\/(sqrt(36) - (3*sqrt(396))\/sqrt(11)))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4*d - 2)*(-8*d + 2*d - d)*((-1 - 4 + 3)*(2*d - 5 + 5) + 1 - 1 + 2*d) to the form i + k*d**2 + x*d**3 + h*d and give x.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + 14*u**2 - 7*u - 4*u**2 + 2*u**2.\nAnswer: 14*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 11. Let k(p) = -p**3. Let q(r) = j(r) + 6*k(r). Differentiate q(m) with respect to m.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*m + 29*m - 90 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(1 + 2))\/((-235)\/25). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9044 + 9048. Solve 3*k + 4 = 2*l + 2, -3*k + f*l - 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639483989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144778054 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 + n**2. Let h(k) = 2*k**2 - 7*k + 4255. Let b be h(0). Let c(y) = y + 4255 - b. Determine c(m(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -15*z**2 - 10. Let j(m) be the second derivative of m**4\/12 + m**2\/2 + 6*m + 25. What is -10*j(d) - s(d)?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 13874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 1.7. Let j = 0.0898 - -1.0998. Let g = j + m. Round g to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*m)*(22 - 11 + 27) + (3 - 3 - 1)*(1 - 1 - m) to the form y*m + c and give y.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1\/10, -0.233, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*l - 38*l - 40*l - 44*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -803 + 1993. Let a be (-6)\/9 - d\/15. What are the prime factors of a\/(-6)*3\/2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 21*n - 48 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 7*a**2 + 5. Let d(m) = 4*m**3 + 0*m - 24 - 10*m**2 + 31 + 0*m. Let t be 0*(-2 - (-14)\/6). Let g be 9 - (t + 2\/1). What is g*c(l) - 5*d(l)?\nAnswer: l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10 = 5*n, -7 = 263*n - 264*n - 4*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15*y + 1. Calculate the remainder when c(4) is divided by (-831 - -849)\/(1 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s**3 + s**4 + 6*s**4 - 2*s**4 - 3*s**4 + (-3 + 3 - s**4)*(2 - 1 - 2) - 6*s**4 + 0*s + 0*s + 5*s**4 + 5*s**2 - 5*s**2.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 945.69227 minus -3?\nAnswer: 948.69227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.39 - -8.39. Which is the fourth biggest value? (a) -4 (b) -0.03 (c) f (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m + 0*m - m + (2 - 6 + 2)*(-5*m + 0*m + 4*m) + (1 - 3 + 0)*(m - 5*m + 2*m) - 7*m - m - m in the form f + h*m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -c - 94, c = 4*z - c + 112. Let t be (z\/35)\/((-1)\/7). Let s = t - -8. Calculate the greatest common divisor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 29*c + 402*c**2 + 59*c**2 - 28*c + 6. Let w be h(-2). Let f = w + -805. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 580418800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 1566 = 2*j, 10*d - 793 = -j + 9*d. What is the remainder when j is divided by 113?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27972 = -1125*z + 369*z for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543174330 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/8)\/((42\/(-24))\/7). Let t = 1\/7 + 1\/7. What is the fourth biggest value in n, 3, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 8) to base 10\nAnswer: -289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((4*sqrt(1573)*1 - (-1*sqrt(1573) + 5))*1 + 5 + 1)**2)*-3.\nAnswer: -117969 - 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11717004, -11717006, -11717008, -11717010?\nAnswer: -11717012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-18))\/((-4)\/2454) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 - 200*s**2 + 2158*s - 4620 = 0.\nAnswer: -110, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42338.\nAnswer: 2, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*o + 40*o + 44*o + 50*o + 47*o + 43*o - 425*o + 152*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 1 (c) 24.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/6 - i**2. Let s be n(-2). What is the units digit of 1*2\/3*s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2. Let f be (-147)\/a - 7\/14 - 1. Let y = 128 - f. What is the remainder when y is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -2.1, 0 in decreasing order.\nAnswer: 0, -0.5, -1, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/60 - a**4\/8 + 7*a**3\/2 + 24*a**2. Let g be j(-6). Solve -5*b = -4*d + 21, -2*d - g*b + 9 = -4*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*6\/(-45)*(-6)\/4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, 1.43, -19496, 3\/7, -5, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -6 - 48\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3202215 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 29 - 9 - 74 + 8*n**2 + 29.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249*k - 398 - 409 = -60. Solve -k*q = -4*s + 16, -q - 3 = -6*s + 7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*w - 3508 + 7006 - 3498.\nAnswer: -124*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/(sqrt(6) + -4*sqrt(294)) - (sqrt(1088)*-3 - sqrt(1088) - sqrt(1088))*-6)*5)**2.\nAnswer: 17851428425\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/36)\/((-5)\/(75\/(-10))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w + 4. Let m(i) = -8*i + 34. Let k(c) = c - 6. Let q(n) = -6*k(n) - m(n). Calculate -9*q(o) + 4*t(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 1 + c**3 - 105*c**3 - 39*c**3.\nAnswer: -143*c**3 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1840\/39 - -622\/13. Factor 0*f**2 - 1\/3 - m*f + 2\/3*f**3 + 1\/3*f**4.\nAnswer: (f - 1)*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -24 - 21. Let c = r + -1. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 2*sqrt(832) + sqrt(832) + sqrt(13))**2 + (sqrt(468)*4)**2.\nAnswer: 16276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) -1\/3 (c) -0.5 (d) 6\/133 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21330773.\nAnswer: 683, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 0. Solve -2*i + i = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 48. Let w be j(-7). What is the closest to w in -1\/6, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.16.\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, b: 1, v: 1}. Give prob of picking 1 b and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/((-6)\/27). Solve l*g - 3*t - 12 = 0, -2 = -g + 2*t + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 163. Let w = v - -145. Sort 2, -1, w, 50.\nAnswer: w, -1, 2, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jem when three letters picked without replacement from {j: 10, e: 1, m: 8}?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 1312370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**3\/2 + 5*k**2\/4 - k\/2 - 1\/4 = 0.\nAnswer: -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*0.4\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 207*c - 7*c**2 + 6*c**4 - 2 - 206*c + 5*c**2 to s*c**2 + d + l*c**3 + k*c + n*c**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -12. Let m(h) = 2*h**2 + 3*h + 3. Let i(u) = u**2 + u + 1. Suppose 0 = -2*r + 15 - 13. Let g(k) = a*i(k) + r*m(k). Let j(d) = 28*d**2. Give j(g(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1420280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/13)\/g**(1\/2)*g**(-1\/16)\/g*g*g**(2\/9) assuming g is positive.\nAnswer: g**(-781\/1872)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (108\/114)\/(14\/(-4788)*-36)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 7. Let o be n(4). Suppose j - x + 3*x = 12, -o*x = 2*j - 24. What is the smallest common multiple of 8 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.12566ml to litres.\nAnswer: 0.05712566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.335 to zero dps.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + x - 3 = -4*o, 5*x = -4*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4108931 take away 4?\nAnswer: -4108935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 188180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748169.\nAnswer: 748169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59 by 55175.\nAnswer: 59\/55175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 3*h**4\/8 + 7*h**3\/3 - 12*h**2. Let d(i) = -9*i - 14. Let u(g) = 5*d(g) + 4*m(g). Differentiate u(x) with respect to x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5 = -6*g - 5*o, 4*g = -5*o + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 314532.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3613 + 3613.00001039. Round n to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from iirtrttrai?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 3*l = 8*v - 12, 28 = -0*v - v + 21 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1374 < -1372?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8521*r. Let f(x) = -648*x**2. Calculate f(s(z)).\nAnswer: -47049621768*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144\/7 - 120\/7*h - 82\/7*h**4 - 188\/7*h**2 + 34*h**3 + 8\/7*h**5 = 0.\nAnswer: -3\/4, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:53 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 8, 44, 114, 230, 404?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18\/19 + 88\/133. Let z = -40\/11 - -38\/11. Which is the nearest to d? (a) z (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380628 divided by -6.\nAnswer: -63438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 6a?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 21468\/384 - 288\/(-3072)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.5 + -3. Let t = -259.3 + 248. Let d = t - -11. Sort c, d, -4 in ascending order.\nAnswer: -4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -1. Suppose -p = 5*g + 2*p + 3, -5*g + 5*p = -5. Let q be g\/((-2 + 1)\/1). Solve -o = -q*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 4)*(-d + 5*d - 3*d) + (3 + 0 + 0)*(52 - 52 - 9*d) + d - d - d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41727975 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0345299 kilometers?\nAnswer: 34529.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(19) + 2 + -3).\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(95)*1*-4*2)\/((5*2*sqrt(35))\/sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.93 from 787142604.\nAnswer: 787142602.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 13*z**2 + 151*z + 115. Determine q(21).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 143 = -y, 4*n - 131 = -6*y + 3*y. Calculate the least common multiple of 385 and n.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2\/11 + 2826*b\/11 - 5644\/11 = 0. Calculate b.\nAnswer: 2, 1411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d + 102. Let o be c(-13). Let j(g) = 8*g - 4. Let h(u) = -u + 2. Let w(z) = o*h(z) - j(z). Let l(v) = -v + 13 - 13. Give l(w(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1832.75 to the nearest ten.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -24 + 1 + (1 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -5*z - 48. Calculate the greatest common divisor of z and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -135*j**2 + 7*j - 7. Let m(y) = -133*y**2 + 4*y - 6. Give -2*i(n) + 3*m(n).\nAnswer: -129*n**2 - 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.1, 0.13, -3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26515 - -40953. List the prime factors of c.\nAnswer: 2, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36 (b) 0 (c) 5 (d) -3\/8 (e) -13.6 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - (-1 + -13 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 899, 966, 1029, 1088, 1143, 1194?\n\"Answer: -2*k**2 + 73*k + 828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - (4 - (5 - 7)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4618.45989663 - -4617.9399. Let w = l - -0.52. Round w to 7 dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 0 + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290654.\nAnswer: 2, 7, 13, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47364 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.7 + -3. Let o = -0.5 - v. Suppose -68511 = -220*d - 67851. Which is the third biggest value? (a) 5 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1625.7009 + -0.1991. Round p to the nearest 10.\nAnswer: -1630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-6))\/(-1))\/(-3*(-38)\/(-2565))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -310000334241?\nAnswer: -310000334242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*g - 182538 + 183918 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from mumuum?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 21*o**2 - o + 29. Calculate the lowest common multiple of d(21) and -1 - (-7 - -1) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*q**4 - 49*d*q**3 + 11*d*q**2 - d - 3977*q**4 - 2*q**2 - 14*q + 27 wrt q?\nAnswer: 48*d*q - 294*d - 95448*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 370879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5713164?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -724.3 - -725. Let v = 1 - 0. Let n = v - d. What is the second biggest value in -2, n, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*x + 12, -3*q + 3*x - 8 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*t + 74, 16*u - 139 = -10*t + 17*u - 7*u + 5*u for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*w + w + 8 = 0, -3*r + w - 10 = 0. List the prime factors of (0 + (-4 - r))\/((-10)\/2830).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3878 + 0.5878. What is the biggest value in -3\/23, -1.1, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*g*i*o + 3*g*i + 2*g*o*q**2 - 2*g*o - 132*g*q + 13*i*o*q**3 - 5*q**3 wrt i?\nAnswer: 10*g*o + 3*g + 13*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 258379 or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -1 + 0 + 2*j**2 + 5*j**2. Let v be (((-12)\/(-30))\/(4\/(-10)))\/(-1). Calculate a(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 8*w**2 - 6*w - 5. Let f be 3*(-1 + 5)\/4. Suppose -5*z - 4*c - 8 = -f*z, -5*z + 55 = -5*c. Is v(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 391103 (b) -0.3 (c) 0.4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 3749984*j + 878898750016.\nAnswer: 4*(j + 468748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:58 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 797 and 193744324.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 2. Suppose -5*a = -0*v - 2*v + 29, 4*v = 3*a + 23. Let x(c) = 1. Calculate v*x(n) - d(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78445700 and 600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35690 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * -443\nAnswer: 575.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 - (5 + -1 + -2 + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2600 is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 - 117*j + 418. Let h be v(35). Sort h, 3, 29, -16.\nAnswer: -16, h, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/(i**(-3)*i))*i))*i**(-4))\/(((i*i**16*i)\/i)\/i*i**(-18)) assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 - 962562 + 962562.\nAnswer: 46*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 801523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1120467 to the nearest integer?\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*b**2 - 6\/7*b + 2\/7*b**4 - 2\/7*b**3 + 0.\nAnswer: 2*b*(b - 3)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*v - 3*g, -17 = -4*v - g - 4. Let b(i) = 4*i**3 - 3*i**3 + 6*i**2 + 2*i - 4*i**v - 3 - 7*i. Calculate b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4519*x + 1587. What are the prime factors of w(5)?\nAnswer: 2, 107, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 - -169. Factor 4*t**2 + b*t + 12 + 0*t**2 + 4*t + 4*t.\nAnswer: 4*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 131.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l - 160 = -34*l. Let k be 2 + 3 + -3 + l\/(-12). What is the nearest to k in 4, -2\/5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, 5, 3 in ascending order.\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10782 - 10791 + 32368 - 10795 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156677 - -427720. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 68*a - 513 - 219 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by ((-34)\/4 - (-7)\/(-14))*-5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:58 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose 0 = -28*o + 3*o + 775. Suppose o*c + 8 = 35*c. Solve -6 = 3*x - c*u, -2*x + 4*x = -d*u - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249747288*r - 124873648*r - 124873647*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 10*u**3\/3 + u**2\/2 + 10*u - 41. Factor q(o).\nAnswer: -(o - 1)*(o + 1)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 15*y + 12. Let h be r(-15). What is the tens digit of 1\/(-3) - (-808)\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n + 1. Let h be l(3). Let r be ((-5)\/5)\/(h\/(-3)). Suppose -r*b - 4 = -55. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - 1.08. Let s = -0.7 - z. Suppose 11*q = 59 - 15. Sort s, 2\/9, q in decreasing order.\nAnswer: q, s, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-17 - -20 - 18).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 80 = -19. Let m = a - -8. Let f(x) = 3*x + 1. Give f(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 + 27714141*o\/5.\nAnswer: -o*(o - 27714141)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-seven halves of a litre?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 45*i**2 - 46*i + 10. Determine c(46).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i**2 + 5*i. Let c be ((-3)\/2)\/((-6)\/8). Let a(q) = 6*q**2 - q - 5. Let z(b) = 7*b**2 - b - 6. Let f(d) = 6*a(d) - 5*z(d). Give c*u(y) + 10*f(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8523 - 34?\nAnswer: 84ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from 0.02.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/608580 and -37\/72765.\nAnswer: 6694380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435 - 411. Suppose w = -d + 4*d + 3*s, 8 = 4*s. What is the highest common factor of d and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 + -6 + 10. What is the closest to -6 in -0.3, 4, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22725 divided by 101?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11615 - -11593. Let y = 0.6 + 0.4. Let f = -1.1 + y. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5286616*c**3 - 5079565*c**2 + 2 wrt c?\nAnswer: 31719696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 6, r: 9, c: 2}. Give prob of sequence cr.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-21)\/819*(3003\/(-11))\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -585\/8, -5?\nAnswer: -585\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in years?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 172462632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v**3 - 4*v**2 - 14*v - 2. Let c be n(-6). Let b = c + 561. Is 0 + -2*b\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 138269 = 4*f + 137759 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898 + 90 = -248*g + 46*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 48 = 3*a. Solve -6*v - a = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f - 5*f)*(-3*f**2 + 3*f**2 - f**2) - 4 + 4 - f**3 - f**3 + 4*f**3 - f**3 - 2*f**2 - 21*f**3 + 48 - 34 - 24.\nAnswer: -17*f**3 - 2*f**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1. Let m(i) = i**3 - 4*i**2 + 5*i - 6. Suppose -2*j = -10 + 2. Let w be m(j). Let o(n) = -n + 6. Give w*s(u) - 2*o(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 12:57 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8740873723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 4*z = 62*q + 15, 7*z = 5*q - 57 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 145. Suppose -2*n + 70 = b, -n + 5*b + m = -34. What is the remainder when 68 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-2072*n**2 - 1745*n**2 - 164*n - 158*n + 483*n - 165*n).\nAnswer: 3817*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**4 + 1285*o. Let f(k) = 2*k**5 - 11*k**4 - k**3 + 3855*k. Let n(y) = 11*d(y) - 4*f(y). What is the second derivative of n(p) wrt p?\nAnswer: -160*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -255*r - 3022. Give p(-12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 105, 1, -3, -6, -351.\nAnswer: -351, -6, -3, 1, 6, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4082 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8297 + 22329. Round h to the nearest 100.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8828 - 6?\nAnswer: -8835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409119*h**4 - 82*h**3 + 460054*h + 13 wrt h.\nAnswer: -4909428*h**2 - 492*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-15 - -6)) + (-7 - -9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6916 and -3.\nAnswer: 20748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (3 + -10 + 17) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 10098977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/5)\/((-62)\/155). Solve 0 = -m*k + 13 + 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.159349 - 0.059349. Let w(h) = h - 2. Let j be w(-2). Which is the closest to x? (a) j (b) -5\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 2208, -4 in descending order.\nAnswer: 2208, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -130 - -14?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8073 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/5 - 72\/180. Let x(b) = -b**3 + 15*b**2 - 8*b + 17. List the prime factors of x(p).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0*s*s)\/s*s)**(5\/4)\/(s*s**(-1)*(s\/s**(-4))\/s))**(-3\/11) assuming s is positive.\nAnswer: s**(9\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*g - 4*n + 20 = 203*g, n = 4*g - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*g + 10. Suppose -g*i = -5*m - 160, -3*i + 5*i = -2*m - 64. What is the remainder when 16 is divided by m\/(-12)*(-18)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = 5*l, 0 = -5*v - 4*l + 19. Suppose v*k = y + 4 + 4, -20 = -5*k - 5*y. Is (-3)\/(-2)*1634\/k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/6*(-1)\/(22\/33). Solve -l*c - 9 = -4*m - 1, -3*c - 20 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3065, -4654, -6243, -7832, -9421, -11010?\n\"Answer: -1589*n - 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44487 - -20 - (-69)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.53937 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 9866478?\nAnswer: 9866459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 73*i - 1. Let v be d(1). Suppose 0 = -4*r + n - 3*n + 106, 3*r + 4*n - v = 0. Suppose -b + r = b. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/395982 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928147185.\nAnswer: 5, 337, 1144301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/2*(-3)\/((-24)\/32*28).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 320665284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 58 = -8*u + 6*u, -5*d = -u - 101 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 8\/555, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 12*b**2 - 12*b. Give v(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = -12 - 38. Suppose 0 = -q - 4*q - 20. Put q, 5, h, 1 in ascending order.\nAnswer: h, q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from igrrrgiggrgr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 45*o - 413 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from rraratartorataraot.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23065, -46141, -69229, -92335, -115465?\nAnswer: -138625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -3. Suppose 0 = -5*i + z*q - 4*q + 24, -2 = -q. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4689 + -4684. Which is the fifth smallest value? (a) 57 (b) 2\/7 (c) 2\/11 (d) z (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u. Let l(k) = 31092*k**2 - 676*k. Calculate l(n(r)).\nAnswer: 31092*r**2 + 676*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9 - 24 = 0. Suppose b = w + 21, b + 3*w = q*b - 42. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, d: 3, c: 7, k: 2}. What is prob of sequence xcxd?\nAnswer: 49\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1992 - -37.\nAnswer: -1955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4286 and -213.80327.\nAnswer: 4072.19673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4 = 4*z, 0 = -0*t - 2*t - 5*z - 7. Suppose 5*m + 1 = -t. Let u = m - -8. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2487060 and 2560860?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13, 1, -3, 1.426, 0, -1\/4?\nAnswer: 1.426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (1 - 11 - -15) + -5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 2*o**2 - 4*o - 66. Let m(t) = -t + 2 - 2*t + t. Calculate 5*m(u) + 2*w(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10666029 is divided by 624?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, t: 2, f: 1, c: 1, k: 1}. What is prob of sequence coo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391 + -236. What is the lowest common multiple of m and 65?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/5)\/i)\/i**(-1\/2)*((i*(i*i*i**3)\/i)\/i*i)\/i**(-1\/6) assuming i is positive.\nAnswer: i**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 39289*w + 706565. What is s(18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + i + 4, 3*s - 3*i + 10 = 5*s. Suppose u - 22 = 3*r - s, -60 = -3*u + 3*r. Is 10 a factor of (u\/25)\/(2\/280)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(5\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 750, 1032, 1576, 2382, 3450?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158887*p + 12*p**3 - 2158887*p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*t, -2*v = -0*v + 2*t + 1458500140. Let o = v - -2659575002185\/3647. Let z = -3\/521 + o. Calculate the common denominator of z and 29\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 69\/92 + (-77)\/10*15\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 540\/15066*31*5\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 3*j + j)*(-3 - 3 + 7) + j - 3*j + 0*j + (2 - 16 - 5)*(-41*j + 20*j + 31*j).\nAnswer: -194*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-4 + 1)) + 9. Suppose -1 + n = 3*t. Suppose -3*s + s = -t*g - 8, 5*g = 2*s - 8. Calculate the greatest common factor of s and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 3, h: 4, a: 3}. What is prob of picking 1 c and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/467 > -2\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 108133106?\nAnswer: 216266212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348311646.\nAnswer: 2, 11, 61286893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/3)\/(48\/(-36)). Which is the nearest to 0? (a) -2\/7 (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373660107 is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 12*a - 4*a)*(-20*a - 12*a**3 + 20*a) - a + a**4 + 3*a**4 - 2*a**4 + (0*a**2 + 3*a**2 - 2*a**2)*(-1 + 2*a**2 + 1).\nAnswer: 148*a**4 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -4\/9*c**3 + 1\/6*c**6 + 0*c + 5 + 4\/15*c**5 - 1\/6*c**4 - 1\/6*c**2. Find o such that g(o) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 - 67*r + 66. Determine x(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0032 - -206.9968. Let v = -207.4 + y. Put v, -6, 4\/9 in increasing order.\nAnswer: -6, v, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/2*56\/42. Suppose 3*c = u*c + 1, 2*l - 4*c - 8 = 0. Solve -l*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 51289888\nAnswer: 5128988.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rollorll. What is prob of picking 2 o and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-1)\/15*0. Let y(v) = v + 71. Does 16 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -46*s + 12. Let p be (-5)\/15*(18 + -3). Let a be x(p). What is the greatest common divisor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**3 - 10*b**4 + 0*b**2 - 11*b**3 - b**4 + b**2 - 2*b**4 to w*b**2 + x + c*b**3 + h*b + g*b**4 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/5, -0.2, 2\/3, 4.7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -710 - -250. Let r = h + 444. Is r at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*h = -16, -7*m + 12*h - 16 = 30*h - 14*h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + (-3 - -4) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 6*o. Suppose o = 4*h + h - 25. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78114, 156226, 234338?\nAnswer: 312450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-1))\/(-43 - -46).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/523 in 1\/3, -2\/15, 5, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((7\/(-7))\/20)\/(1\/(-2))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-8)\/(-6))*(-34532)\/5335. Let y = -27\/5 - i. Put -5\/2, -0.3, y in descending order.\nAnswer: -0.3, y, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616844 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Suppose 2 = 3*p - 1. Let t be m(p). Let r(z) = t*z**2 - z**2 + z + 6*z**2. Give r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 96. Let h(k) be the third derivative of 2*k**q + 1\/6*k**3 + 1\/4*k**4 + 0*k + 0. Find the first derivative of h(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1446653 and 514.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**26)**(29\/3)*((w*w**9)\/w)**(1\/6))**42 assuming w is positive.\nAnswer: w**10619","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {k: 1, n: 2, h: 1, y: 1, e: 1, t: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3683 + 6?\nAnswer: 3700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*p + 160*p - 2990. Let d = 404 + p. Calculate the smallest common multiple of 33 and d.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v. Let n(r) = -4514*r. Give 518*d(u) - 4*n(u).\nAnswer: -74*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = -f - f, -3*s + 14 = -f. Suppose -29*c + 1672 = 15*c. Suppose -r - s = c. Is -42 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4725 = -9*s - 12*s. Let n = 370 + s. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329994, 329569, 329146, 328725, 328306, 327889, 327474?\nAnswer: 327061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 1)*(8\/(-6))\/4. Is (f\/3 + 1)*419*3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 33 = -5*u + 135, -x = -3*u + 60. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3017 or 3019?\nAnswer: 3017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18132 - -18229. Solve w*j - 53 = -344 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010 + -1010001010011001011010?\nAnswer: -1010001010011010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*o - 0. Factor -27*r**o - 3*r**2 - 5*r**3 - 20 - 45*r + 0*r**2.\nAnswer: -5*(r + 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 2, w: 2, m: 4}. What is prob of sequence cj?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 6336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4\/5 - 15804*w**3\/5 - 142006*w**2\/5 + 536676*w\/5 - 378864\/5 = 0?\nAnswer: -7893, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.29 - 107. What is y rounded to one decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 2 - (4 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 183. What is the remainder when ((v\/(-4))\/3)\/((-3)\/(-8)) is divided by 9 - 6\/3*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 697 = 5 - 848 for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -155 (b) -4 (c) -0.041 (d) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.97 and -1.5.\nAnswer: -7.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 218*x**2 + 1065*x + 4. Let i(a) = 658*a**2 + 3197*a + 14. Let c(w) = -2*i(w) + 7*y(w). Find the second derivative of c(p) wrt p.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 - -0.0281?\nAnswer: -261.9719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336 - 286. Calculate the greatest common divisor of 450 and z.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9588 - -13350. What are the prime factors of v?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/48 - -1)\/(12 + 287\/(-21))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42a2 (base 12) to base 2\nAnswer: 1110010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -b1b?\nAnswer: b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*(-2)\/10*(3 - -2). Solve -6 = y*t - 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100000110 - -100?\nAnswer: -100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216 - -321. Let m = y + -20. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*r + 0*r - 5*r)*(2 - 2 + 1) + 0*r + 0*r + r - 4 + 4 - r)*(0 + 0 - 2*r) + (-26 + 38*r + 26)*(0*r + 2*r + 0*r).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + b = -7, 8*b - 21 = i + 3*b. Suppose -79 = -i*m + 125. What is the remainder when 23 is divided by (-2)\/4 - m\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 - (-3 + (-243)\/(-180))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + -2 + 4 + -2 + 5. Determine t, given that s - 2\/3*t**2 + 1\/3*t + 1\/3*t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 3. Let q = 39 - 34. Suppose -3*t - q*n - 25 = 0, 5*t + 20 = -3*n - n. Suppose t*l - 2*l = a, 0 = -2*l - 4. Determine v(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 6*d + 10 + 0*d**2 + 0*d**3 + 0*d**4 + 7\/5*d**5. What is the derivative of o(j) wrt j?\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-39) - (-67)\/(-13). Let j(t) = -t**2 - 7*t + 1. Calculate the remainder when 285\/9 + 1\/3 is divided by j(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 76950768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1974657850647\nAnswer: -1974657850638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -n + 6. Let c = n + 22. Round c to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i - 106. Let l be j(10). Suppose 4 = 4*d + 4*s - l, -d = -5*s + 23. Calculate the common denominator of d and 2\/(-17)*19\/2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44601987*y**2 - 49650256 wrt y?\nAnswer: -89203974*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629073?\nAnswer: 3, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195109 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/1918234409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/6)))**(14\/5)*k**(-10)*k**(3\/14) assuming k is positive.\nAnswer: k**(-1957\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*m - 58*m - 11*m + 532 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 - 35. Suppose 3*s = -13 + n. Let m(f) = 2*f**2 - 5*f - 7. Is m(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 1. Suppose 0 = 15*f - 13*f - 74. Let k = f - 35. Let v be j(k). Solve -1 = -2*i + v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55969\/22 + 2544. Let f = 0.3 + 0.2. What is the closest to -1 in f, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22016 is divided by 5186.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 23 = -3*s, -4*g - 3*s - 1 = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2158.9771561792287 - 0.0228108307713. Let u = r + 2159. What is u rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**4 + 2*q**4 + 2*q**4)*(-3*q - q + 3*q) + 3*q**2 + 34921 - 60*q**5 - 34921.\nAnswer: -59*q**5 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -840?\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4964318750?\nAnswer: 2, 5, 17, 46723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 24.52. Let a = -0.02 + p. What is the third smallest value in -3\/2, a, 0.06?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 17*i**3 - 312*i**2 - 676*i + 184. Let g(p) = 0. What is p?\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*b = 68*b + 100. Suppose -j + b + 143 = -p, 3*j - 574 = -2*p. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203 + -3018932688.\nAnswer: -3018932485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1617 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2\/15 - 6\/(-30)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q - 24. Let n be g(-8). Suppose j = n*j - 21. Let l(h) = -h**3 + 3*h**2 + 3*h - 3. Determine l(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*l = -3966, 0 = -2*v - 5*l - 223 + 4180. Let q = 3281 - v. Does 55 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**3 + 0*v**2)*(-1 + 1 - 3) + (2*v + 3*v - 7*v)*(-1 + v**2 + 1) + 1 - 2*v**3 - 1.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*f**2 - 3803 + 1902 + 1904)*(-3 - 5 - 13) as n + r*f**2 + p*f and give r.\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1125) + sqrt(45) + 2 + 4)*-2.\nAnswer: -66*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**2 + 2*u**2 + 8*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 4*b**2 + 2*b + 5. Let r be v(5). Let c(d) = 7*d - 2. Let x(w) = -22*w + 7. Let u(n) = -7*c(n) - 2*x(n). Is u(r) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.59 (b) -0.5 (c) 0.03 (d) 553\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t - 136. Let v be c(22). Suppose 0 = -42*n + v*n + 8. Solve 3*l = -3*z + l + 8, -3*z + n = 4*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcck when four letters picked without replacement from bhcchhckackb?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i = -i - 135 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25185 and 20720539.\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -20 + (29 - 18) - (-47546 - 2).\nAnswer: 137, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3409 + 0.0609. Which is the nearest to 1? (a) 1\/3 (b) 0.08 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 21223222.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 3*v - 4*w, 0 = -0*v - 5*v - 5*w + 60. Factor 24*k - 3*k**2 - v*k - 8 + k**2.\nAnswer: -2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -30*t + 3. Suppose -2*j + 3*q + 60 = -20, 0 = -2*j + 4*q + 86. Calculate the remainder when b(-4) is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -2122?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8217.533t in nanograms?\nAnswer: 8217533000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-5))\/((-8151)\/(-43605) - (6 + 364\/(-63)))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 25*c**2 - 1096*c - 13369. Give y(-10).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**21\/(i\/i**(-5\/9))*i**(-9)\/i**8 assuming i is positive.\nAnswer: i**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22725 divided by 7575.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 172 - 190. Let q = -417 - -409. Sort q, -0.3, z.\nAnswer: z, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88922936 and 7772?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51\/2 + -183\/7. Find the common denominator of v and (10\/(-175))\/((-7)\/(-35)) - (-2334)\/(-504).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 4*w + 23875 = 0, -4754 = -g + 5*w. Let a = -2662 + g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 + 17*x**3 - 4*x**2 + 484 + 13*x**4 - 486 - 17*x**4 - x + 2*x**2 to k + s*x**2 + d*x**4 + n*x + m*x**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12820 and -41\/1180?\nAnswer: 756380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1467013?\nAnswer: 31, 37, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piipppiiytipppiipip. Give prob of picking 1 p, 1 y, and 2 i.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z\/(z\/(z*z**(-1)\/z*z)))\/z)))**(-3\/7)\/(z\/z**0)**18)\/((z\/(z\/z**0))**(-49)\/((z\/(z*z**(1\/5)*z))\/(z\/z**(-8)))) assuming z is positive.\nAnswer: z**(-957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25869*y**2 + 29*y + 29. Suppose -3*n + 2*u + 3 = -2, -21 = 5*n + 4*u. Is d(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(1\/3*36\/(-16)). Let l(i) = -19*i + 96. Let j be l(n). Solve -4*q + 9*q + j = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77 - 44. Let q = v - 16. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -86, -0.2, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 6*m - 4. Let f be q(2). What is the third derivative of -27*n**6 + 0*n**2 - f*n**2 + 2*n**2 + n**2 wrt n?\nAnswer: -3240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2384*0.2.\nAnswer: 476.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.797 - -0.123. Let j = f - -0.08. Let w = -3 + j. What is the third biggest value in 3, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8698647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.1599 to one decimal place.\nAnswer: -120.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 - 4 = 0, -1246 = 5*i + 2*t. Let g = i + 667. What are the prime factors of g?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let c = m - -2. Let a be (2 - c) + (1 - 0). Solve 5*y - a*k = 19, -2*y + k + 13 = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m + 9 = r + 70*m, -m = 4. Sort 1, 333, r, -4 in decreasing order.\nAnswer: 333, 1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1841, -3917, -5993, -8069?\n\"Answer: -2076*i + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1)*1*5. Let c(z) = 2*z - 1. Let g(a) = 3*a - 2. Give o*c(r) - 4*g(r).\nAnswer: -2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 39, 2\/7, -1.8, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/168*o**8 + 0*o**6 + 0*o**3 + 0*o**4 + 0*o**7 + 0 + 0*o + o**2 + 1\/20*o**5. What is the third derivative of u(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -678 - -1583. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t**2 - 2*t - 4. Let d be u(-12). Let g = 447 - d. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 - -0.35. Suppose 0 = -3*l - o - 10, -4*l + 29*o + 12 = 24*o. Which is the closest to -1? (a) l (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2 + 7 - 4*m - 2*m**2 + 0. Let z(k) be the third derivative of -k**5\/60 - k**4\/24 + k**3\/6 + 14*k**2 - k. Give -w(b) + 3*z(b).\nAnswer: -b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1547004)\/(-42))\/1 + 8\/14. Let y = -4153166 - o. Round y to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c\/(c*c*c\/c**(1\/2))))\/c)**(-43))**26)**(-42) assuming c is positive.\nAnswer: c**70434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -10. List the prime factors of (5 + -2)\/(m\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d25d1 (base 14) to base 7.\nAnswer: -4205251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2231152 by -616.\nAnswer: -3622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1213, 1312, 1433, 1588, 1789, 2048, 2377?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Which is the fourth biggest value? (a) 0.1 (b) -1\/5 (c) 8 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 48*u**2 - 107*u + 786. What is v(-51)?\nAnswer: -1560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 135442*q\/5 + 108360.\nAnswer: -2*(q - 4)*(q + 67725)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69753.75149 + -69753. What is r rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 5, 1, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -34*l**2. Let p(i) be the third derivative of 7*i**5\/60 - 16*i**2 - 10. Suppose 4*o = 48 + 8. Calculate o*p(q) + 3*h(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 116133131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*z - 0*o - 4*o, -28 = -4*z + 5*o. Solve 0 = 5*t - 3*p + 1 - 4, z*t = -5*p + 26 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841130660?\nAnswer: 2, 5, 42056533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -169740794 divided by -2?\nAnswer: 84870397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7183 to 2 decimal places.\nAnswer: 2.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 smaller than 1242\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 + -107. Let f(g) = -5*g**2 + 2*g + 1. Let d be f(i). List the prime factors of -2 - -5 - 2*1*d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 4*z**3\/3 + z**2 - z - 1. Suppose 12*n + 4*r = 8*n - 4, -6 = 2*n + 4*r. Calculate m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(1\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 118 = -v, 126 = 5*z + 2*v - 5*v. Let o(m) = -m - 9. Let n be o(0). What is the common denominator of (-2 + 1)*58\/n and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 60. Suppose 3*g + 15 = 0, 5*y + 5*g - 3*g - z = 0. Is (12\/y + -2)*-4 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132.961 months in decades?\nAnswer: 17.774675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v + 4*v + 29 - 10*v. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92650 at least -0.2271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 13. Let n(u) = -u + 13. Let r be n(4). Let g be v(r). Suppose 0 = 5*t + g*i + 8, -4*t + 3 = -3*i - 3. Solve -5*j = -t*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*f + 33, -6*b = -3*f - b - 37. Let a be 8 + 3 + f + 3. Solve 2*c - 5*d = -11, 2*c - 6*d + 2*d = -a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - z - 99 = 0, -36 = -h + 3*z + 5. Let f = 52 - 111. Let o = h - f. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351465299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774646 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2368.59 millilitres to litres.\nAnswer: 2.36859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and -5.\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*f**3 + 8*f - 118*f**3 - 8*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001111 + -1101011011010101001?\nAnswer: -1101011100101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 112103b (base 12) to base 14\nAnswer: 6148b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 - 30. Let q = g + 13. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47162029 is divided by 5240223?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-3 - (-2)\/(-6)*1). Let a = 8570\/21 - 408. Which is smaller: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**5\/120 - 7*y**4\/24 - 40*y**3\/3 - 3. Let u(j) be the third derivative of l(j). Suppose -22*o + 26 = -20*o. Calculate u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262388476 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2193 - 3104 - 2023)*(-3*f**2 + 6 - 4 + 2*f**2) + (1 - 1 + f)*(-2*f + 0*f + 0*f) to g*f + h + c*f**2 and give h.\nAnswer: -14640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-8)*(366 + -4). Let v = u + -6969\/8. Find the common denominator of v and 199\/90 + (-1)\/4 + (-30)\/(-216).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 - (-13 + 95 - 35)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/7*-2*(-1)\/(-3). Which is the nearest to 2\/3? (a) 2 (b) f (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*d**3 + 446*d**3 + 297*d**3.\nAnswer: 421*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 + 170 + 71 = -78*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -2*k, -38 = -s + k. Let d be (s - (-2)\/1) + 2. Suppose -5*j = 11 - d. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + z - 200. Suppose -5*h - 341 = -3*q, -2*h - 4*q - 70 = 56. Let j = z - h. Calculate the remainder when 52 is divided by j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from kpkllklpl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-6) + 0 - (-28)\/(-42). Let g(n) = 8*n - 3*n**3 - 31 + 4*n**2 + 23 + u*n**3. Let d be g(5). Solve d*z + 1 = o + 4*z, 0 = o + 3*z + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 634756 divided by -146\nAnswer: -317378\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n + 137 + 115 = 0. What is the nearest to -0.3 in n, 4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*s**2 + 51*s wrt s.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-28)\/(-8))*-18. Suppose -4*t - 5*g = 1, -4*t + g - 4*g + s = 0. What is the derivative of -x - t + x + 5*x wrt x?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, -6, -23, -38, -51, -62, -71?\n\"Answer: t**2 - 22*t + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -39807*c + 11 + c**2 + 79838*c - 39846*c - 3*c**2 in the form b + l*c**2 + k*c and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c + 27. Let y be z(-9). Let n(l) = l**2 + l - 3. What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(-19 - (-2835)\/150). Put 0, g, -294, -3 in decreasing order.\nAnswer: 0, -3, g, -294","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 633*u + 3152. What is k(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 + 98. Let a = -121 - -111.4. Let s = 10 + a. Sort 3, x, s in decreasing order.\nAnswer: 3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 2. Determine g(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 11*d**2 - 19*d + 7. What is k(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -25 and 0.5.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 10*z + 7. Let w(v) = -v**2 - 6*v + 1. Let k be w(-3). Is l(k) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**4 + 1 + i**2 + i + 16*i**4 + 0*i**4 + 2*i**3 + 0*i**2 in the form n + j*i + p*i**2 + q*i**3 + w*i**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2059*m + 2057*m - 2*f + 4, -5*m + 14 = f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 66*w**2 + 5*w + 8. Let s be h(-7). Let p(j) = -s - 6*j**2 + 3207. Let t(n) = -4*n. Determine p(t(i)).\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/2)\/(-20*4\/(-8)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003300 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/9)*n*n)**(-19) assuming n is positive.\nAnswer: n**(-494\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -350145*d. Let l(r) = 4*r. Give z(l(n)).\nAnswer: -1400580*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -12*t + 96. Let m be b(8). Suppose -2*p = 2*z + 2 - 0, 4*p = 3*z + 10. Suppose -4 - p = 5*d. Are d and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((869\/(-121))\/(4\/(-44)))\/(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.7, -1\/5, 2, -0.017?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.4, 0, 1\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y - 7. Let u be a(8). Suppose -15 + u = -v. Let k be 21\/v*(-8)\/(-6). Put k, -2, -3 in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 65\/25 - 2\/(-5). Solve 3*j = -4*g + 2*j + 22, -2*g + 4 = -k*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/5 + 2368*s - 47328\/5 = 0. Calculate s.\nAnswer: 4, 5916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91484741?\nAnswer: 91484741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 3*o**2 - 4*o. Let f(l) = -l**3 + 2*l**2 - 3*l. What is 6*f(a) - 4*y(a)?\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 247, 255, 125, -185, -717, -1513?\nAnswer: -2615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 5149*d + 5146*d = 4, 0*n - 11 = 2*n + d - 39 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -6 - (-26)\/(-8). What is the closest to p in 1, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from buwywngu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3 + 5. Find the second derivative of -h*u + 2*u + u**2 + 2*u**2 - u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d - 34 = -48*d. Solve 11*g - d*g = -27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5666360 is divided by 3451.\nAnswer: 3269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -650*r + 873*r - 629*r.\nAnswer: -406*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n**3 - 2*n - 1. Let g(x) = -2*x + 25. Let v be g(10). Suppose 0 = v*d - 59 - 26. Let i = -18 + d. Calculate m(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/2 (b) 0.06079 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4736 + -2716. Find the common denominator of ((-6)\/(-15))\/((-128)\/s) and 61\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1225*p**2 + 21*p + 103*p**2 - 21*p.\nAnswer: -1122*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/6, 20, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 109\/3. What is the biggest value in -2, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012221120 (base 3) to base 15.\nAnswer: -ce36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -155, -242, -333, -428?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -16. Let d = -10 - r. 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 seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 8. Let p(c) = 7*c + 4. Let j(m) = m + 1. Let d(x) = i*j(x) + p(x). Differentiate d(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1658, 1671, 1698, 1745, 1818, 1923, 2066?\n\"Answer: r**3 + r**2 + 3*r + 1653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1800415*n + 1800414*n - 1 = 0, 16*n = -4*i + 176 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, h: 6, f: 10}. What is prob of sequence ifhf?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 18*f**3 + 15*f - 15. Let z(a) be the third derivative of -2*a + 1\/24*a**4 + 0*a**5 + 0 - 4*a**2 + 1\/120*a**6 - 1\/6*a**3. Give 2*m(d) - 30*z(d).\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1038)\/12 + 13)\/((4\/(-16))\/(2\/(-12)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18198 divided by 27.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 4*g**2 + 2. Let f(c) = -10*c**3 - 17*c**2 + 10. Let j(q) = 4*f(q) - 18*x(q). Let l(b) = -8*b**3 + 9*b**2 + 9. Give -9*j(s) + 4*l(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 + 19*c**2 - 7*c - 10. Let i(l) = -l**3 + 6*l**2 - 2*l - 3. Let x(w) = 7*i(w) - 2*u(w). Determine x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6*(-9)\/(-6)*-191. Let j = 206 - h. Let n(t) = t - 21. Give n(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2374, 4710, 7060, 9424, 11802?\n\"Answer: 7*z**2 + 2315*z + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/9 - 6)*-108. Let u(r) = r - 35. Let f be u(l). Let t(k) = -k**3 + k**2. Let j(g) be the second derivative of -g**5\/10 - g. What is f*j(w) + t(w)?\nAnswer: -3*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11397)\/1914 - (-3 + -3)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 16 = -8*h + 4*h, -5*h = 5*r + 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88039649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:38 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11055?\nAnswer: 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -150. Let h = -2.5 + 3. Let f = -4.3 + 4. Which is the nearest to f? (a) y (b) h (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2 - 6. What is the units digit of 2 + g + 0 - -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**7)**(-3\/34)\/(v**(-19)*(v*v**(-2\/29)\/v)\/v))**8 assuming v is positive.\nAnswer: v**(81240\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -427, 0.5, 13\/3 in descending order.\nAnswer: 13\/3, 0.5, -0.2, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38708 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:03 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 10 - 4*x + 9*x + 2 + 0. Let l be m(-3). Let y be (0\/(-1 - l))\/3. Solve d = -y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -6, 46, 0.4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - 7)\/(1\/12*-1). Let q(z) = 2*z**2 - 11*z - 27. What is the units digit of q(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1332 + 2007 = 7*f + 35*f - 1719 for f.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -672*b**2 + 15*b + 2. Let j(m) = -1007*m**2 + 24*m + 3. What is 5*j(k) - 8*n(k)?\nAnswer: 341*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21343693*h**2 - 20495696 wrt h.\nAnswer: -42687386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o**3 - 117*o**3 + 57*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.088 (b) -3.9 (c) -0.2 (d) 6 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 314098735 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**7)\/f))**(1\/26)\/(f**(-1\/12)\/(f\/(f*(f**4\/f)\/f))) assuming f is positive.\nAnswer: f**(-335\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = k - 0*h, -3*k = 2*h - 7. Calculate the highest common divisor of k and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3\/4 (c) -0.34 (d) 0 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -69. Suppose 3*f + 0*d = -2*d + n, 4*d = -f + 28. What is the lowest common multiple of (-122)\/(-4) - (-2)\/(-4) and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101803 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 27. Let c be w(0). What is the second derivative of c*d**4 - 5*d**3 - 29*d**4 + 6*d + 15*d**3 + 70*d wrt d?\nAnswer: -24*d**2 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 265 (b) 0.2 (c) -89 (d) -4 (e) -2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + -1*sqrt(7)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598936 a multiple of 2059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 168104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2545 + 2527. Which is the nearest to s? (a) 0.2 (b) 3\/5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/84*3*1*(-4)\/(-5)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371332 is divided by 30936?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucx when three letters picked without replacement from xxuxccx.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13742502 (base 8) to base 2.\nAnswer: 1011111100010101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1068, 1071, 1086, 1119, 1176, 1263, 1386, 1551?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 17*f + 22. Give k(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 3 - (5 - (9 + -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**2*p)**(-16\/9)\/(p**(2\/3))**39)**(2\/177))**(-1\/13) assuming p is positive.\nAnswer: p**(596\/20709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c5 (base 14) to base 16.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-108)*18\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + 0)*5 - -2*sqrt(252)*-6)**2 - ((-4 + sqrt(252))*6 + 0).\nAnswer: -36*sqrt(7) + 12372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwcvwkwvyvcvwwcwwyv. Give prob of sequence wyyv.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 21. Calculate q(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = 45. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/((-2)\/3). Let d be (p + 2 - -1)\/1. Let b(o) = 6*o**3 - 2*o + 1. Let n be b(d). Solve c = n*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-3) + 7)\/((-8)\/(-28)). Solve -21*l + 20*l = -2*j - 1, -j = -3*l - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpp when three letters picked without replacement from pppmppm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/37 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 26. Solve 0 = -5*o - 1 - r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660259618 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 51\/2 of a millennium?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 5, 1, -1, 4 in increasing order.\nAnswer: -1, 1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3255441 (base 6) to base 2\nAnswer: -100111110110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3099 or -225.93?\nAnswer: -3099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11 - 824\/(-24))\/((-1)\/(-3)). Suppose -3*l - 2*l - 5 = 0. Let w be (-3 - n\/(-17)) + l. What is the smallest value in 1\/5, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 + 52*k**3 - 106*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96557 is divided by 32180.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Suppose -5*v - 34 = -4*o - 13, 5*v - j*o = -17. Let s(n) = 6*n**2 + 3. Let z(f) = -f**2 - 1. Let x(l) = 2*s(l) + 6*z(l). What is x(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 562, 21, 0 in descending order.\nAnswer: 562, 21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*a**3 - 4\/3*a**2 - 1\/9*a**4 - 10\/9*a - 1\/3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/253 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -797.04 - -797. Which is the nearest to 2? (a) 0.02 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.327 - -1.957. Let i = -1.6966 - -0.1756. Let p = w + i. Round p to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, l: 5}. What is prob of picking 3 l and 1 p?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10*t = -24. Suppose t*i - i = 6. Find the second derivative of 2*y - y - i*y**5 + 0*y**5 + 6*y**5 wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2. Let o be 2\/(-5)*510\/(-12). Let z(g) = 29*g - o - 11 + 28. Calculate n(z(u)).\nAnswer: -841*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2)*3*-1. Put 5, 4, z in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33507931.\nAnswer: 31, 1080901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = 2*l. Let q be 6\/36 + l + (-33)\/(-18). Suppose 2*g = -6, 2*g - 67 = -q*r - r. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137590855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -85, -191, -341, -535, -773, -1055?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1516303 (base 7) to base 15.\nAnswer: -411cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2403, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:41 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 88651 - 27925042\/315. Find the common denominator of 139\/450 and b.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 3403*a + 3403*a. Let f(i) = i**2 - 5. Let r(m) = -m**2 + 6. Let y be (6\/(-15))\/((-3)\/(-45)). Let l(b) = y*f(b) - 5*r(b). Give l(g(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j - 164 = 9*j + 412 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 + 3*x**2 - 2*x**2. Let f(b) = -92*b**2 - 93*b**2 + 186*b**2. Give y(f(i)).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/110*78\/117.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 9:08 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-8)\/(-12). Solve n + 3 = -s*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 6*n - 4. Suppose 0 = -4*h - 10 + 2. Let z be (h - -4)*(-10)\/(-4). Give l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107\/187 + -47\/34. What is the common denominator of x and 51\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t + 5*t**2 - 362*t**3 - 4*t**2 + 361*t**3 as d*t**2 + r + a*t**3 + o*t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 30. What is the least common multiple of 12 and s(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0509 + 4.0509. What is the nearest to -2\/15 in 0.2, c, 20, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g - 3*y = -10, -5*y + 4 = g. Suppose j - 44 = 3*j. Let x = -11 - j. Calculate the remainder when g is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 8 = 0, -3*u + 18 = 4*s - 6*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 2.3. Which is the nearest to 2? (a) 3\/8 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10618 (b) -1\/63 (c) -1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 887720 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1819*s + 2. Let y(x) = 3*x. Calculate g(y(n)).\nAnswer: -5457*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -475*n + 481*n - 630678. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**4 - 37590*h**3 + 18617685*h**2 - 18580100*h = 0.\nAnswer: 0, 1, 532, 6985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02605? (a) -36 (b) 372 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012938445 rounded to five decimal places?\nAnswer: 0.01294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/9, -2, -11, -6, -17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + y. Let i be l(-2). Let z be (-1)\/((6\/i)\/18). Let t = z - -10. Put -1, t, 2 in increasing order.\nAnswer: -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + (-127)\/55. Let h be -2*((-2)\/8 - 35\/300). Let b = k + h. Find the common denominator of b and 29\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -16*o. Let b be l(1). Let d(g) = -4 + 65*g**2 - 16*g + 2 + 85*g**2 + 58*g**2 - 209*g**2. Give d(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*n + 309*n + 83*n - 101*n.\nAnswer: 503*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*c + 5 = 0, -11*m + 7*m = 5*c - 30. Suppose -s = 5*z + m, 2*z = s - 6*s - 2. Is -3\/226 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 7:56 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 2. Suppose -7*k = 10 - 45. Solve k*u + 1 = l*o - 4, -1 = u + 3*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17720, 35206, 52692?\nAnswer: 70178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 4*b + 4*o + 13, 5*b + 12 = 3*o for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d = f - 50*d - 43, -5*f = -2*d + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - 9*r - 3. Let l(p) be the second derivative of p**4\/12 - p**3\/6 - p**2\/2 + 4*p. Let c(s) = j(s) - 4*l(s). Calculate c(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 31*w - 1. Let z be g(1). Let i be ((-62)\/3)\/(4\/(-6)). Solve -3*u = a + 3*a + i, 5*a = -2*u - z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 10. Suppose -i + k + 155 = 3*i, -h*i + 125 = k. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3))\/(h*h*h**6))\/(h**(2\/5)*(h\/h**(-2))\/h*h*h) assuming h is positive.\nAnswer: h**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, c: 4, z: 1, x: 7, p: 2, w: 3}. Give prob of picking 1 c and 1 x.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + x = -u + 5, -2*u - 5*x + 25 = 0. Suppose 2*t - 6*t - 12 = u. Sort t, -4\/7, -0.4 in ascending order.\nAnswer: t, -4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 + -134 + (9 - 1) + -8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1349686 + 1349902.9066. Let q = u - 219.11. Let b = q + 2.2. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100211010212 + 0?\nAnswer: 100211010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**2 - 3*z**2 + 5*z**2)*(11*z + 14*z + 14*z) - 9*z**3 + 2*z**3 - 4*z**3.\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 19*f - 4396 = -15*f, -3*s + 3*f = 2670. Sort -2, s, -4.\nAnswer: s, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 129.3, -22\/7 in ascending order.\nAnswer: -22\/7, 5, 129.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*a = 48, 4*y - y = 4*a + 58. Solve -4*h + 37 = 5*s, 2*h + 2*s - y - 2 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - n**3 + 3*n**3 - 10*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(91) - sqrt(91)) + sqrt(91))*4)\/(sqrt(140)\/sqrt(5)) + 5.\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.992759 to two decimal places.\nAnswer: 3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(960))\/(sqrt(72)\/(sqrt(18)\/sqrt(3))) - (sqrt(560)\/sqrt(7) + (sqrt(80))**2)) + -5.\nAnswer: -85 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/(-54) + ((-24)\/(-30))\/((-9)\/(-5))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dfofttpfdpftppdftdtp. Give prob of sequence fftt.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 449134 and 2009.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 779854 - i - 779854 - 2908*i**2 - 1 + i**2 + 1 + (i + 2*i - i)*(-3*i + 0*i + 5*i).\nAnswer: -2903*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/13, -1\/3, -1\/10, -68?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + 3 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16159?\nAnswer: 11, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 177114 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37004847 divided by -8?\nAnswer: 37004847\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 10*a**2 - 325 + 166.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*(132\/(-44))\/((-4)\/((-12)\/(-9)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*21\/14.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**3 + 6*n - 3. Let b(w) = -15*w**3 + 13*w - 6. Let k(r) = 6*b(r) - 13*l(r). Differentiate k(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/20)\/((-45)\/6)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 + 551*t**3\/3 - 8434*t**2\/3 + 31696*t\/3.\nAnswer: t*(t - 8)*(t - 7)*(t + 566)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.1. Let m = 0 - s. Let t = m - 0.4. Which is smaller: t or -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 624*p = -627*p - 16, -44 = 4*q + 5*p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1335646 by 14209.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35195550 - -54824450. Suppose n = -178*x + 171*x. Round x to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypwybbybyybwbbyybobb. Give prob of picking 1 y, 1 p, and 1 b.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*((-32)\/(-12))\/4. Suppose -8 = -z - w. Let v(y) = -10*y - 4 + 19*y - 7*y - y. Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7) + -1 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 16. Let u be ((-7250)\/q)\/(-2 - -3). Round u to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + 2 + -5 + 1 + sqrt(2448) + 2 - (-1 + sqrt(34)\/(sqrt(2) + sqrt(72)*1)))**2.\nAnswer: 334*sqrt(17)\/7 + 474162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 173*a**3 - 13*a**2 - 18*a - 45. Let i(p) = 87*p**3 - 6*p**2 - 8*p - 18. Give -7*i(j) + 3*q(j).\nAnswer: -90*j**3 + 3*j**2 + 2*j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18623332.277 rounded to the nearest 100?\nAnswer: -18623300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*z + 9 + 3, 5*z - 12 = 4*j. Let i = z - -5. Suppose -20 = -n - 3*f, f + 81 = i*n - 3*f. Calculate the remainder when 49 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/(9\/(-54)). Let h(i) = 6*i**3 - 3*i**2 + 2*i + 3. Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 16*a - 46. Let t be u(10). Is (t\/15)\/(-1 - (-229)\/230) 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 -11\/194 and 53\/4328?\nAnswer: 419816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4218607515?\nAnswer: 3, 5, 13697, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 = 4*l, 0*i + 20 = 4*i. Let z(y) = y**3 + 4*y**2 + 3*y + 3. Let g be -6 + 0 + 2 - -2. Let x be z(g). Put 0, l, x in decreasing order.\nAnswer: x, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -11*k**6\/18 + 14*k**5\/5 - 3*k**4 - 8*k**3\/9 - 106. Factor j(g).\nAnswer: -g**2*(g - 2)**2*(11*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118 - -87 - (-60 - -5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d*t*x - 83*d*x - 2*t*x - 15*t wrt t?\nAnswer: -3*d*x - 2*x - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 25*g**2 - 55*g - 11. What is a(27)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 = 3*t - t + 5*u, 4*u + 407 = t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -1. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2192)\/3)\/((-2)\/9). Suppose -13371 = -9*i + z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 866864216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(8\/9) - 3. Let k = 1 + -2. Is m less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 5*i + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-12 - 492 - 319)*(1 - 1 + y).\nAnswer: 2469*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1034 - 47*l - l**2 - 1034 to i*l + a*l**2 + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -5 - (-136)\/32)*(-1100)\/990\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9571*h + 727391. What is c(-76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(1 - (-3)\/(-2)). Suppose 0 = -2*n - 4*j + 26, -n - 3*n + 4*j = 8. Suppose n*m - 2*m = 3. Solve -a*h - h = m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, z: 1, i: 5}. What is prob of sequence ii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5316731105 and 3174.\nAnswer: -5316727931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, v: 2, x: 1, f: 2, i: 1, h: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 90 = -45. Suppose -511 = -g*z + 344. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 67 = 2*j, -p + 0*j - 3*j + 34 = 0. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let z(x) = 4*x - 23. Let t(m) = 5*r(m) - z(m). Does 8 divide t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 11*m**4\/8 + 9*m**3\/2 + 27*m**2. Differentiate u(o) with respect to o.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2 - 2*j - 5. Let u(n) = n**2. Give g(c) + 4*u(c).\nAnswer: -4*c**2 - 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43404017 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13131 (base 4) to base 12.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 28*j - 8. Let v(i) = 20*i - 5. Let q(a) = -5*u(a) + 8*v(a). Let x(d) = d**2. What is q(x(k))?\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190858.\nAnswer: 2, 95429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 9*b - 6*b)*((-2 - 11 + 4)*(-2*b + b - b) - b + b + 5*b).\nAnswer: -46*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3053 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8442 is divided by 195.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 350\/(-490) - 26\/(-7). Put 120, g, 2 in descending order.\nAnswer: 120, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 7\/2*(-340)\/(-119)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224344 (base 8) to base 15.\nAnswer: 177be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111 + -1?\nAnswer: -110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 37*t + 103. Suppose 4*d + 7 = -5, -v + d = -8. Is 48 a factor of m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 9*g**2 - 4*g + 6. Calculate w(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 604501, 1209002, 1813503, 2418004, 3022505?\n\"Answer: 604501*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 30*y**3 - 84*y**2 - 13*y - 12. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.33 + 19.33. Let g = 710.9 - 692. Let p = g - a. What is the smallest value in 0.1, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w**2 + 10*w - 12 + 9*w**2 - 22*w**2. Let k be g(2). Suppose -5*i = 4*o - k*o - 3298, 3*o + 9 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3406 is divided by 102.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:17 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 0.3 (c) 2\/15 (d) 491 (e) 1\/4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmvmmv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 192 - 188. Suppose 3*h = z*s + 7*h - 8724, -s + 2181 = -h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -9\/28 (c) -27 (d) 41 (e) -3\/2 (f) 0 (g) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 78 = 4*o + 27, 5*o - 72 = -4*u. Calculate the smallest common multiple of 0 - -12 - 8\/4 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 1775?\nAnswer: 14200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4166*z + 123935 = 32227 - 141588 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -6*w + 8*w - 18 + 4, w - 1519*z + 1522*z = 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*x - 37*x - 43*x - 25*x**2 + 19*x**2 - 42*x - 44*x - 56*x.\nAnswer: -6*x**2 + 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2 + 10 + 15.\nAnswer: -2*r + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4\/7 - 44391*f**3 - 10729023525*f**2\/7 - 123501786481875*f\/7 - 493835501437500\/7 = 0 for f.\nAnswer: -34525, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let n(u) = -b*u + 4 + u - 4. Let j(r) = -10*r**2. What is n(j(c))?\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + s - 103 + 26)*(6*s - 10*s - 7*s).\nAnswer: -11*s**2 + 1111*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:38 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfc. What is prob of picking 1 f and 2 c?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.57301 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 195785 and 0.2.\nAnswer: 195785.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12224 and 328138.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.8, 1\/3, -6, -29, 0.4 in ascending order.\nAnswer: -29, -6, -4.8, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8*i - 78 = 0. What is the second derivative of 3*y**2 + 8*y**2 + 16*y**2 + i*y + 8*y wrt y?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-216 + 114 - 7)*(-3 + 0 + 2) + (2 - 3 + 0)*(0 + 0 + 2)*(-3 + 3 + 1))*(2*l**3 + 620*l**2 + 18*l**5 - 620*l**2).\nAnswer: 1926*l**5 + 214*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-4)\/12 - -21*(-3)\/(-15)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q + 1. Let s(m) = 13*m + 2. Calculate 3*g(u) - 2*s(u).\nAnswer: 16*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1308366 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*p - 3*w, 4*p - 2*w - 16 = 2*w. Suppose 2054 = p*y - 817. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -107, 3, 141, -1 in ascending order.\nAnswer: -107, -32, -1, 3, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101200200212 - 11?\nAnswer: 112101200200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 3. Let u(n) = -92*n + 68. Let m be ((-1)\/2 + -4)*8\/(-6). Calculate m*u(l) + 136*g(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b + 11 - 8*b - 11*b wrt b?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 13. What is the closest to s in -3, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 - 347.999996113. What is i rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 15. What is the remainder when 7 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 + -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 16*c + 70 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fccz when four letters picked without replacement from cfdzfdcdhdcfdvcvvfdc?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h + 2*t - 82, -230 = 3*h + 2*t. Let k be (-12)\/15 - h\/10. Solve 2*j + 9 = 3*w, -2*w = 2*w - j - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from zyvhdvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from qrqaqccaaaq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.043309 - -0.0439. What is x rounded to 5 dps?\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(270)*1)\/(sqrt(640) + sqrt(640)*2 + sqrt(810) + sqrt(810)*-1).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11054 is divided by 1814?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-14))\/((-6)\/(-34)) and (10\/(-25))\/(108\/(-15))*-59?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose -2 = -d + s. Solve -d*c = -0*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 47*r = -4*d - 127 + 367, -5*r - 4*d = 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-14))\/((-3)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7065)\/(-29673)*6\/(-70)?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3655 divided by -276.\nAnswer: 3655\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/19))**(24\/5)\/(s\/(s\/((s\/s**(-12)*s*s)\/s))*s**14) assuming s is positive.\nAnswer: s**(-2612\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.69 + 1.31. Let v = 0 + 0. What is the closest to 0.1 in 4, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -14. Suppose -2*d + d + 947 = v. List the prime factors of d.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 7\/10*c**2 + 1\/60*c**4 + 2*c - 4\/15*c**3 - 16. Factor s(w).\nAnswer: (w - 7)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**1*w)**18\/(w\/(w*w**1*w))**(10\/7) assuming w is positive.\nAnswer: w**(524\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k - 16*k + 12 + 35*k)*(-2 - 13 - 4).\nAnswer: -38*k - 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 0*o - 6*o**2 + 4*o**3 + 8 + 8*o - 2*o**2. Suppose 1866*j - 1877*j - 88 = 0. Let y(p) = p**3 - 3*p**2 + 3*p + 3. Calculate j*y(v) + 3*z(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -34*l - 38*l - 5*l**2 + 73*l. Determine k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8935 and 475.\nAnswer: 848825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 2*z**4 - z**4)*(0 + 4 + 2)*(-1 + 1 - 1)*(1 - 2 + 3).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -21*l**2 + 5*l + 4. Let c(o) = -21*o**2 + 4*o + 3. Let r(a) = -4*c(a) + 3*i(a). Calculate r(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13393694?\nAnswer: 2, 421, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d. Suppose 3*w + 4 = -w. What is the remainder when w\/(8\/3 - 3) is divided by s(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -4*r + 1127. What are the prime factors of r?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 93695*p**3 - 21*p**2 + 31*p - 9. What is the ten thousands digit of t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x. Let g(b) = -6*b. Let n(r) = 5*g(r) + 6*i(r). Let l(o) be the third derivative of -o**4\/8 - 3*o**2. Calculate l(n(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 + 3. Suppose 6*a + 126 = 3*a. Let i be -4 + 4 + -2 - a. Let z = i + -37. Give p(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 3*k, 3*g - 4*k = 2*g - 10. Suppose -5*t - 24 = -g*c, 3*t = 5*c + 4*t - 87. What is the greatest common factor of 187 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000067509 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13497936 is divided by 101.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1146 and 47\/4202.\nAnswer: 12606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5886*k - 153437 + 6249 - 140731 = -5391 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*j = 2032, -4*j = -0*w + 4*w - 2040. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - y - 29 = 0, 4682*y = 4680*y + 2 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -451*a**3 + 395*a**3 - 693*a**3 + (a**2 - 3*a + 3*a)*(a - 3*a + 3*a) + 4*a**3 - 2*a**3 + 2*a**3 + 3*a**3 + a**3 - 5*a**3.\nAnswer: -745*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 923.952 litres to millilitres.\nAnswer: 923952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80.83663 and 201?\nAnswer: -16248.16263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in 0.5, 41, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -16*u - 16. Let f(k) = 3*k + 3. Let s(j) = 11*f(j) + 2*q(j). Let o = -352 + 351. Let r(m) = -6*m - 7. Determine o*r(i) - 5*s(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:13 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36834320 and 21680.\nAnswer: 36834320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5510.2 to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0*8.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:57 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 9)*(-1 - 3 + 5)*(-5*r**2 - 9*r**2 + 0*r**2).\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -0.2 (c) 2 (d) -1697 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27307)\/(-1316))\/((-1682)\/232 - (-5 + (-1 - 1)))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -55*o + 3. Let d be g(-2). Let h(l) = 12*l + 41. Let j be h(-8). Let k = d + j. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1881*u - 351332 = 1877*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*y = -28. Calculate the lowest common multiple of y and (1 - 2)\/((-5)\/80).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 12 = 3*v, 0*m - 3*m + 5*v + 4 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -5*b - 30, 2*b = -2*m + 1869 - 1881 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10301 - 3?\nAnswer: 10232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 0*b**3 + b + 7*b + 17*b to the form t*b**3 + l*b + f + i*b**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195860498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20100 (base 3) in base 7?\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-491)\/(-17) + 4\/34. Suppose -4*m + l = -4*b - 67, 2*b + 27 = -5*m. Is -20 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 120. Let m be t(23). Suppose 2*p = m*f + 973, 0 = -5*p + 27*f - 24*f + 2461. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + m**2 + m**2 + m**4 - m + 4*m to q + v*m**3 + t*m + l*m**2 + b*m**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - (-4)\/(-440))\/(58\/(-145)))\/(3\/36)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4440 and 2886?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 7. Suppose -14*u + 25 = -9*u. Let g be l(u). Solve -g = 2*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -3*i + 11 - 2, x = 2*i - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/251 and 125\/6.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.017423 * 11\nAnswer: -0.191653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.5920986 to 1 dp.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306 - 304. Suppose -5*o = -3*w - 283, 3*o + w - n*w = 169. What is the highest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(144)\/(sqrt(12) + sqrt(192))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let f(y) = y**3 + 7*y**2 - 5*y + 19. Let s be f(-8). Let r = -323\/28 + 45\/4. What is the nearest to h in s, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 - 2*w**2 - 2*w - 235. Let g(u) = -u**3 - 26. Let n(d) = 7*g(d) - k(d). Give n(0).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 91 = 8*x. Suppose -3*m - g = -8*m + x, 0 = -4*m - 2*g + 2. Suppose m*l - 140 = q, l - 2*q - 48 - 28 = 0. Is 18 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-520)\/273 - 1\/(42\/(-4))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1177.180014 - 1177.05. Let g = 0.13 - t. What is g rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269\/6*95 + (-73)\/438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13736368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/3 - 17077*g**4\/3 + 5160079*g**3\/3 + 17077*g**2\/3 - 1720026*g = 0.\nAnswer: -17374, -1, 0, 1, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -471 + 1659. Suppose -2*h + 5*h = k. Is 44 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let v be (-6)\/((-60)\/25)*2. Let z(k) = 2*k**3 + 6*k**2 + 3*k. Give v*q(n) + z(n).\nAnswer: 2*n**3 + n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-3 - (-448 + -6)). Let d = u - -24823\/1353. What is the common denominator of d and 33\/124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 9:03 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 14. Let b be y(-6). Let a be 5\/(50\/(-16))*(-4)\/b. Solve -a*w + 6\/5*w**3 - 2\/5*w**4 + 0*w**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 49*v**5\/60 + 35*v**4\/24 + v**3\/3 - 23*v**2. What is the second derivative of b(j) wrt j?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 - 5 = 0. Suppose k - 6 = -3*x - 3, 0 = -2*k - d*x + 2. Factor 1\/4*g**5 - 1\/4*g**2 - 3\/4*g**4 + 0*g + 3\/4*g**3 + k.\nAnswer: g**2*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1294 - 1294. Solve b = -43*a + 45*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n*q**3 - 30*n*q**2 - 2*n - 156*q**2 - 22477 wrt q?\nAnswer: -3*n*q**2 - 60*n*q - 312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33891 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = 15. Solve n + v + 28 = -l*v, 0 = -5*n + 3*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -17.3. Let n = w - -1.70000013. Round n to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:21 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*i + 4*v, -76 - 15 = -5*i + 2*v. Suppose 6*x = x + 425. Suppose -5*g + 0*g = -x. Calculate the highest common divisor of i and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (6 - (-1 + -1) - (5 - -7)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/24)\/((-15)\/27)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -144.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1388? (a) 0.3 (b) 0.05 (c) 4 (d) 39 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 617\/8 - 77. Which is the third biggest value? (a) 5\/6 (b) m (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vixvxxyixxxiyixiii. What is prob of sequence yvi?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/2001 + 3988\/14007. Which is smaller: d or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 245, 239, 231, 221, 209?\n\"Answer: -u**2 - 3*u + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*m = -u + 27, -u + 4*m + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millimeter in micrometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5328096 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let p = 0 - 0. Suppose 1 = -3*v - 2. Which is the nearest to l? (a) v (b) 2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -948, -1938, -2976, -4086, -5292, -6618, -8088?\nAnswer: -9726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, -62, -2, 3, -97, 5 in ascending order.\nAnswer: -97, -62, -18, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**0))*p)**(-16)*(p\/p**14)\/p*p\/p**(2\/7) assuming p is positive.\nAnswer: p**(-317\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19100?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-6)\/30) - -4. Let g be 22\/3 - (-2)\/3. Let b = g + n. Solve j - 3 = 4*m - b, 0 = 3*m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 49.99999856. Round a to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -100*q**3 + 5*q**2 + 12*q - 41. Is m(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942566361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 7, j: 1, c: 1, w: 5, h: 1}. Give prob of sequence shi.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 344448?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*v + 8, -2*v - 3*g - 13 = -0*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/9)\/(420\/252)*-22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 5*h + 11 + 11 = 5, 8 = 5*p - 6*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2896310 or -2896308?\nAnswer: -2896310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -5*z + 12. Let x(o) = o**3 + 6*o**2 - 7*o + 2. Let j be x(-7). Suppose -j*b - 2*w = b + 16, 2*w = 4*b + 26. List the prime factors of t(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -82691*d - 67558553. Give v(-817).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 48 = -23*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2001*y - 7. Suppose 0 = -v + 10 + 12. Let c = 29 - v. Let d be p(c). What is d rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - h**2 - h + 4. Let p be b(0). Let l(f) be the second derivative of 0*f**3 + 0*f**2 - 1\/90*f**6 + 0 + 0*f**5 + 1\/36*f**p + 2*f. Factor l(v).\nAnswer: -v**2*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i**3 + 11*i**3 - 8*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 670573789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {r: 6, i: 2, k: 4, y: 4, o: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198139909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) - (2 + -4 + sqrt(19))) - (4*sqrt(1900) + 4).\nAnswer: -40*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -33. Let x be (-247)\/(-26) + t\/(-4). Suppose y + 2*w - x = 0, -4*y + 39 + 11 = 5*w. Solve 5*v - y - 25 = -5*m, -3*v + 19 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Let j be 4\/(-6) - (40\/(-24) - -1). Suppose j = 2*l - 5*v + 1, -l + 2 = 3*v + 8. Give g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of f**5\/70 + f**4\/14 - f**3\/21 - 3*f**2\/7 - 21*f. Factor h(g).\nAnswer: 2*(g - 1)*(g + 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/30 and 24\/242675.\nAnswer: 1456050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 4*t**2 + 3*t + 4. Let u be i(-4). Let a = 2 - u. Calculate the least common multiple of a and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 231 - 123. Let h be f\/26 - 6\/39. Factor 0 - 3*r**2 - 12*r - 4 + h.\nAnswer: -3*r*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2*u**2 - 1 + 1)*(4 - 2 + 2).\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose t = -4*a - 22 + 6. What is the least common multiple of 11 and 0 + 7 - (2 + a)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, -9024, 2\/7 in decreasing order.\nAnswer: 2\/7, -95, -9024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 23.6463, -190, -4 in ascending order.\nAnswer: -190, -4, -2\/9, 23.6463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -5235?\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(0\/1)\/(-1). Let y = 0 + m. Let q(p) be the first derivative of p**2\/2 - 6*p - 3. Give q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-4)\/6*3) - -10. Let k be d\/(-15)*((-9)\/(-6) - 2). What is the fourth smallest value in 2, 4, 3, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -56, -108, -188, -302, -456?\n\"Answer: -m**3 - 5*m**2 - 8*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/24)\/((-4)\/36)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -110, -93, -76?\n\"Answer: 17*b - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -246 and -5.\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 76*u - 958. Let g be y(12). Put g, -5, -4 in decreasing order.\nAnswer: -4, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836425 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: Sort -0.6, -306685, 56, 0.2.\nAnswer: -306685, -0.6, 0.2, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2629814 and 43468.\nAnswer: 5259628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242804882?\nAnswer: 2, 23, 317, 16651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*z**2 - 528*z**2 + 968*z**2 - 525*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255.1 + 254.9. Put 1\/23, -4, p in decreasing order.\nAnswer: 1\/23, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14597267441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*sqrt(78)*-3 + sqrt(78))\/((sqrt(6) + sqrt(6)*3)*-1) + -2.\nAnswer: -3 + 11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -15. Let w = -5 + s. Let j be (4\/(-3))\/((-2)\/3). Put -3, j, w in descending order.\nAnswer: w, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.64431697 rounded to 3 dps?\nAnswer: 2.644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.57*-18933.\nAnswer: 10791.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12195*m**2 + 12 - 5 - 7.\nAnswer: -12195*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**8\/1680 - p**7\/210 + 3*p**6\/200 - 7*p**5\/300 + p**4\/60 + 176*p**2. Find b, given that m(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, l: 2}. Give prob of sequence lu.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = -4*m + 13*x + 6332, 0 = 3*m + 2*x - 4747. Let l = -427 + m. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s + 1. Let g = -1527 + 1529. Let h(y) = -8*y**2 - 8*y - 9. Determine g*h(x) + 18*k(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 1:51 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 12. Suppose -5*n + f + 125 = -2*f, 4*f = -2*n + 24. Calculate the least common multiple of n and (-10)\/(-3) + 8\/t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 5*t - 2*z, 0 = 7*t - 4*t + 2*z + 38 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 10 - (-1 + (16 - 8) + -10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 836003*n + 418001*n - 25*n**2 + 418002*n - 2.\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*c - 80 = 0, 11*f + 261 = 7*f + 19*c - 43 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**6\/3060 + x**5\/510 + 6*x**3 + 21. Let l(j) be the third derivative of d(j). Factor l(o).\nAnswer: -2*o*(o - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37775551?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 31, -941, -1\/2?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 7\/5. Let c(f) be the first derivative of 2\/5*f**2 + 1 - 2\/15*f**3 - h*f. Suppose c(i) = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381419.\nAnswer: 3, 13, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1 + 1\/(-3)). Suppose 0 = -5*m - 2*y - 1, -4*y + 0 = 3*m - 5. Is m smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*x = 106, 3*x - 108 = -5*c + 2*x. Suppose 4*d - 26 = -0*f - 2*f, 5*d - c = f. Solve -d*q + 20 = 0, 2*q - 2 = 3*w + 3*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a0b (base 12) to base 16.\nAnswer: -6aeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517600 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 82*c**3 + 4*c**4 + 81*c**3 - c - 4 to the form s*c**2 + y*c**4 + t*c + f + h*c**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:23 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g + 54 - 54 - 11*g**5 wrt g.\nAnswer: -220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-25)*q**(-11))\/(q**(-1\/6)*q**5))**(-3\/35) assuming q is positive.\nAnswer: q**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 29. Let g = p + 6. List the prime factors of 678\/12 + 2\/g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 17 = -2*u - 11, -u = -5*n - 39. Solve -a = -2, -a = o + a - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247751797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 4\/7*l**2 + 0 - 2\/7*l**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -366\/379 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2120c + 43?\nAnswer: 21252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350235 by 270047.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22021 is divided by 10652?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - c + 0*c - 5 = 0, -h - 5*c - 25 = 0. What is the first derivative of -10*p**2 + h + 15*p - 15*p - 2 wrt p?\nAnswer: -20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 - 85235407*s**2 + 85235406*s**2 - 26*s**3.\nAnswer: -s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 534*u**2 + 42722*u + 143. Calculate f(-80).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17747, 35636, 53541, 71468, 89423, 107412?\nAnswer: 125441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 4*a + 24. Let f = a - 4. Let t be f - (-1 + (2 - 1)). Let d(g) = -g**3 + g**2 + g - 4. Determine d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/72)\/((-110)\/(-88))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -12 - 17 - (-4 - 0) - 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -i + 9, -3*i - 22 + 9 = -2*r. Let g = 10 + -7. Which is the biggest value? (a) 0 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jejjjjjjej.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*d + 60. What is the greatest common divisor of d and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33538 and 1624?\nAnswer: 27232856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 942*u - 945*u - 34, 738*u - 153 = 2*q + 1339 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.6. Let x = 0.7 + l. What is the nearest to x in 0.3, 1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 1. Give r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688)*2 + sqrt(2688))\/(-2*sqrt(726)) + 5.\nAnswer: -12*sqrt(7)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-249)\/(-18) + 4\/24. Suppose 2*v + i = 5*d - 27, 5*d + 4*v = 23. Let s = 39 + -26. Solve 5*j + d = -s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 10:33 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 309433 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/s**(-1\/2))\/s)*s\/(s\/(s\/(s*(s\/(s*s**(-7))*s)\/s*s)))*s)\/((s*s\/(s**(-1\/5)*s))\/s**(3\/4)) assuming s is positive.\nAnswer: s**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-9\/4)\/(r*r*r\/(r*r*(r\/(r\/(r**11\/r)))\/r*r)))\/(r**(-11))**(-7\/3))**(-2\/29) assuming r is positive.\nAnswer: r**(227\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37695.5827 rounded to zero dps?\nAnswer: 37696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*w**2 + 18\/5*w + 8\/5 - 2\/5*w**3 = 0. Calculate w.\nAnswer: -2, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-10))\/((-8)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**2 - 2*n + 4. Let d(g) = 9*g**2 + 5*g - 9. Determine -3*d(h) - 7*i(h).\nAnswer: 8*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**35)\/z*z*z\/z**(-4\/11)*z**(1\/27)*z*z**(-34) assuming z is positive.\nAnswer: z**(-19483\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 2 - 4*d**3 + d**3 + 4*d**3 + 0*d**3 - 2*d**3 + (-2*d**2 + 2 - 2)*(-d - 3*d + 2*d).\nAnswer: 3*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*k**3 - 380*k**3 + 86*k**3.\nAnswer: -456*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(10\/12). Let m be (-7 - -7)\/(12\/4). Which is the closest to 1? (a) y (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5079776\/35 - 145150. Let h = j - -62\/5. Which is smaller: 1.6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7985438.\nAnswer: 5\/7985438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -7 - 13. Suppose -6*s = -17 + t. Let x(r) = 20*r - 20*r - 2*r**s. Let y(d) = -17*d**2. Determine y(x(q)).\nAnswer: -68*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192075233.\nAnswer: 7, 53, 137, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3164 and 71\/84?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-5))\/(((-2)\/132596)\/((-170)\/68)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*z - 23. Let y = 41 + z. What is the remainder when 173 is divided by y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (34\/4)\/(2\/4). Let c be (116\/145)\/((-2)\/(-85)). What is the greatest common factor of c and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + -1 + 3)*3 + 0.\nAnswer: 6 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o - 4. Calculate z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1868 and 46\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 38*d**2 - 310*d + 26. Calculate u(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = -m, 13*m + 5 = 12*m - 2*f. Solve 1 = -w + 4, -5*p - 10 = -m*w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -70, -99, -56, 107, 438?\n\"Answer: 8*r**3 - 36*r**2 - r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2. Let i = -729\/2 + 367. Let x(v) be the first derivative of 0*v - 1 - i*v**2. Calculate o(x(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -65*h - 7. Let r be x(-14). Let m be 4\/3*r\/14. Let i = -65 + m. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16632657, 16632650, 16632643?\n\"Answer: -7*k + 16632664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32660504493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32908.\nAnswer: 2, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.056 - -1.456. Put o, 0.46, 3\/5 in increasing order.\nAnswer: o, 0.46, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25469373 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -317, -676, -1171, -1802, -2569, -3472?\nAnswer: -4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {g: 1, k: 2, l: 5, q: 5, f: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 168*z = -1391144. List the prime factors of z.\nAnswer: 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 1. Let i(k) = 93*k**2 + 4*k - 7. Determine i(n) + 5*v(n).\nAnswer: 93*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351186 and 27302.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 34*o**2 - 796*o + 33547. Calculate c(37).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxss when four letters picked without replacement from {s: 10, x: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17ba14 (base 12) to base 15.\nAnswer: -82bed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -57, -271.4?\nAnswer: -271.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2057049 millilitres?\nAnswer: 0.0002057049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(539)*-2 + sqrt(539) - 1*1*sqrt(539) - (-2 + (sqrt(539) + 1 + -2)**2)).\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 103 times 440460\nAnswer: 45367380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -67*k**5\/12 - k**4\/8 + 574*k**2. Let m(i) = -i**2. Determine h(m(w)).\nAnswer: -335*w**4 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 6, l: 3, n: 8}. Give prob of sequence dl.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/2 - 66*k**2 - 2904*k - 24. Factor b(y).\nAnswer: -3*(y + 44)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + (-1*sqrt(84))\/sqrt(12).\nAnswer: -sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -286*a**2 + 121*a**2 + 150*a**2. Let f(g) = -65*g**2. Give r(f(b)).\nAnswer: -63375*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 10\/6)*18. Let v be 2876\/w + (-1)\/(-3). Suppose -3*u + v = 90. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 1 - 84\/14. Let j be (-3)\/(-12)*(18 + d). Suppose -t + 0*s = s, 10 = 5*t + j*s. Solve 4*p - 11 = t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16956, 67831, 152622, 271329, 423952, 610491?\n\"Answer: 16958*n**2 + n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5\/4 + 75*l**4 - 3095*l**3\/2 + 12000*l**2 - 77805*l\/4 - 33075 = 0. Calculate l.\nAnswer: -1, 4, 15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3)\/(-78) + (-498)\/(-195). Factor -6\/5*w**2 + 1\/5*w**3 - 8\/5 + p*w.\nAnswer: (w - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1847290 - 10078814289\/5456. What is the common denominator of -65\/24 and k?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18428 and 537664.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n + 7. Let t(j) be the third derivative of 11*j**5\/30 - j**4\/12 - j**3\/6 + 2*j**2. Calculate the remainder when h(5) is divided by t(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 104 = -13*z. Let u(s) = 2*s**2 - 10*s + 9. Let g(c) = -7*c**3 - c**2 - c - 1. Let v be g(-1). Calculate the remainder when u(v) is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -57.\nAnswer: 41\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766181 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: Calculate the remainder when 3158 is divided by 528.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -9*o**3 - 8*o**2 - 48*o - 96. Give t(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3 + 3*v - v**2 + 1 + 0*v**2. Let i(t) = 3 - 4 - t + 3*t + t**2. Let p be i(-3). Determine q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*0\/28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + i - 19*i**2 + 83*i**2 - 555 + 562 + 4*i as w*i + n + r*i**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - 484*c + 7. Calculate q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 17. Let u(o) = 3*o + 8. Let y(q) = 2*j(q) - 5*u(q). Determine y(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -3, -5719, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487628 is divided by 403.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 + -237. Let u be 4\/(-18) - i\/18. Suppose u*t = 33 + 3. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 199 * 173\nAnswer: 34427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmc when three letters picked without replacement from mcbmhhmhcwh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**3 + 28*w**2 - 13*w - 10 = 0. What is w?\nAnswer: -2\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 16 = -3*f - 0, 2*z - 16 = -2*f. Solve -2*x + 5*x = -f*c - 9, -5*x + c = -15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-448)*4 + (-8)\/32. Which is the second smallest value? (a) -5 (b) -71\/3 (c) s (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3203523.\nAnswer: 6407046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11*q + 8. Let h be f(-6). Let l = h + 58. Factor 1\/4*z**3 + 1\/2*z**2 + 0*z + l.\nAnswer: z**2*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 4 - -1)*(-4)\/34. What is the fourth smallest value in v, 6\/7, 5, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/3987 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6046 - -45?\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30035, 30010, 29923, 29774, 29563?\n\"Answer: -31*s**2 + 68*s + 29998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 2 = -x - 0, -2 = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10623 is divided by 1701.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12164, -12057, -11878, -11627?\n\"Answer: 36*g**2 - g - 12199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 2, s: 1, v: 1}. What is prob of sequence vs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - sqrt(288)*-1)\/sqrt(6) + 2.\nAnswer: 2 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -109*t**6\/30 - 49*t**2\/2 - 2*t + 114. Find the first derivative of m(f) wrt f.\nAnswer: -436*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q. Let f(p) = 0 - 3*p + 0 + 2*p + 18536*p**2 - 18449*p**2. Calculate u(f(h)).\nAnswer: -174*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from jfitjij?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f - 2. What is the second derivative of -2*n + 4*n**2 - 6*n**f - 4*n + n wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*r + r**2 + 5*r**2 - 5*r**2 in the form n*r**2 + b + c*r and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6909 less than 3530341?\nAnswer: 3523432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -1\/3 (b) 6.3 (c) -7.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let z(r) = -6*r. Let k(v) = -285*v**3 + 3*v**2 + 5*v + 3. Let m be k(-1). Let w be (-6)\/(-4)*m\/(-39). Give w*n(p) + 2*z(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d - 27. Calculate the smallest common multiple of g(-8) and 49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-40))\/(665\/(-1064)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 13. Let x(j) = -2*j - 12. Let t(n) = 3*w(n) - 4*x(n). Let h be t(7). Suppose s - 36 = -h*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 515900 or 515383?\nAnswer: 515900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86000*i*y**2 - 595*i*y - 1535*i - 7*y**5 wrt y?\nAnswer: 172000*i - 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -37. Which is the closest to w? (a) -2\/11 (b) 2\/11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/8, 0.5, 1, -2?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*s**2 - 16\/3*s - 105.\nAnswer: (s - 63)*(s + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 - 15*x**2\/2 + 9*x - 1. Suppose -6*f + 5*f - 176 = -12*f. What are the prime factors of d(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5891.53946 + -5884.74. Let f = 0.022 + 6.778. Let q = s - f. Round q to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.25 - -38.15. What is the closest to 12 in -5\/4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2033 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 25) + 24 + -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*9\/5*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -8*j**6\/5 + 6*j**5\/5 + 15*j**4\/4 - 9*j**3\/2 - 3*j - 17. Factor b(y).\nAnswer: -3*y*(y + 1)*(4*y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25115125 + 25115138.7000107. Let u = r - 13.7. Round u to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23361 + 25645?\nAnswer: 52336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = r - 40. What is the remainder when 26*195\/52*r\/5 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199769289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/3 - 2\/6. Let k = 15 + q. Suppose -2*f - k = -3*f. What is the highest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14435, 31316, 50635, 72386, 96563, 123160, 152171?\nAnswer: 183590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-5)*q*q)**(4\/19) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s**3 - 3*s**3 - 3*s**3)*(3*s - s - s) - 291090 + 10534*s**4 + 291090 as i + d*s**2 + t*s + g*s**4 + n*s**3 and give g.\nAnswer: 10532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + r + 9. Determine n(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11258.4s?\nAnswer: 187.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from cpnnncnr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*a**3 + 2*a*l**3 - 203506*a*l - 352972*l**3 + 76*l with respect to a.\nAnswer: 156*a**2 + 2*l**3 - 203506*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**2 + 2*a + 1. Let t be o(-2). Suppose -460 = t*k - 14*k. What is the highest common factor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127335563051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 15*x + 4. Let s be d(-7). Solve 2*g + 3 = -2*o + 1, 4*g = o + s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 3*j + 5*h, 6*h - h = 2*j + 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 206779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/(-5) + (-12)\/20. Suppose -4*q + 2*q = -4*l + 10, 0 = 4*l - b*q. Solve 20 = -l*k + k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3470009*h**2*p + 5915767*h**2 with respect to p.\nAnswer: 3470009*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1965 and 15?\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 5*x**7\/1008 - x**6\/720 + x**5\/20 - 4*x**2. Let q(l) be the third derivative of h(l). Is q(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 23*u**2 + u - 12. Let g = 14 - 37. Let t be j(g). Let o be (t\/(-24) - 2\/6) + 0. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:46 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u**2 + 13 - u**2 - 10 to the form q*u**2 + n + h*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(119) - (sqrt(119) - (sqrt(119) + -3*sqrt(119)*-4 + sqrt(119)) - sqrt(119))))\/(sqrt(700) - sqrt(700)*-3*-2) + 1.\nAnswer: 1 + 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10603?\nAnswer: 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -305*q**4 - q**3 + 3387.\nAnswer: -1220*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(28\/(-3))*(-1416)\/1062?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 7*z**2 - 9. Let c(p) = -5*p**3 + 13*p**2 + p + 17. Let n(d) = -4*c(d) - 7*g(d). What is n(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m + 13701 - 16002 - 13431 = 0 for m.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.89 + 0.59. Let k = m - 1.7. Which is the closest to -3? (a) -1\/4 (b) -1\/3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*k + 5. Let a be (-80)\/(-4) - 2\/(k\/(-6)). Let g be (-276)\/(-8)*(-8)\/(-3). Calculate the highest common factor of g and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 494887 or 494884?\nAnswer: 494884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22233 is divided by 1060.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g - 576. Determine c(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -9)*(22 - 23). Let t be 0 - ((-6)\/16)\/(h\/8). Let x = -2.96 - 0.04. Which is the nearest to -1? (a) x (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 + 383*o**2 - 7057*o + 9. Calculate c(17).\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 284, 285, 286, 287?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 3 - 11 + 3*u)*(-u**2 + 1 - 1) as h + s*u**2 + j*u**3 + a*u and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*d**6 + 2*d**4 + 6*d**3 - 12836*d**2?\nAnswer: -12600*d**3 + 48*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 10*r**6\/39 + 142*r**5\/65 + 50*r**4\/13 - 74*r**3\/39 - 56*r**2\/13 + 40*r\/13 - 243. Solve f(u) = 0 for u.\nAnswer: -5, -2, -1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.71441 micrometers to meters.\nAnswer: 0.00008571441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42205 divided by 8.\nAnswer: -42205\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(33\/6) - 1133\/242)*-4. Which is greater: v or -14?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t - 360. Calculate the remainder when 267 is divided by a(21).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -808266, -1616543, -2424846, -3233187, -4041578, -4850031?\nAnswer: -5658558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 - 6*m**2 - 6. Let i(v) = -6*v**3 - 7*v**2 - v - 7. Let q(f) = -4*i(f) + 5*k(f). Let j be q(1). Is ((-2122)\/(-8))\/(j\/(-24)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29771114?\nAnswer: 2, 17, 875621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/21 + 220\/15. Suppose -3*v + 36 = -0*v. Let c(h) = -2 + 3 + v*h - q*h. Calculate c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 4 = 11*w, 5*z + 702 - 662 = 5*w for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341 + 1341 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -1. Find the second derivative of w*a - 3*a - a - 2*a**3 + 3*a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898100 (base 10) in base 5?\nAnswer: 441214400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10002171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000880253 to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 74 + 31 + (14 - (-36 + 22) - 48).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47775 - -150848. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*x - 22 = 0, 4 = 4*q - x - 9. Solve -5*t + q*t = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3*c**2 + 1)*((3 + 2 - 4)*(-2 + 5 - 1) + 20 + 28 - 11)*(2*c**2 - 4*c**2 + 0*c**2) - 13*c**3 - 26*c**4 + 13*c**3.\nAnswer: 208*c**4 + 78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + (-1067)\/220)\/((-2)\/8). Suppose 360 = 98*b - 106*b. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11450951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a decade in months?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**3 - 19*v**2 - 58*v + 1. Let o(h) = -8*h**3 - 16*h**2 - 59*h + 1. Let t(y) = 2*n(y) - 3*o(y). What is the second derivative of t(a) wrt a?\nAnswer: 36*a + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 8*q**2 - 9089653*q + 5681030 = 0.\nAnswer: 5\/8, 1136206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/159 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1.5\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -133, -201, -269?\n\"Answer: -68*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1765 - -42?\nAnswer: -1723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32302 (base 6) to base 4.\nAnswer: 1011032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*w + 83 = 2*w, -5*v + 5*w = 100. Suppose 12 = q + 10. Sort q, v, 4, -3 in descending order.\nAnswer: 4, q, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107671 (base 10) to base 7\nAnswer: -625624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4))**12\/((q**(-5\/4)*q*q)\/(q*q\/(q**(-6\/13)*q*q)*q*q)) assuming q is positive.\nAnswer: q**(-2407\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.06 (c) -3564\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122280834 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*v - 24, v = -5*g + 2*v - 32. Let o = 47 - g. Let w = -47 + o. What is the least common multiple of w and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 6*t**2 + 7*t - 1. Let c be g(5). Suppose -m = -18 - c. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3 - 536*v**2 - 47752*v - 1413760 = 0. What is v?\nAnswer: -94, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/21 + 279*d**6\/10 - 592*d**3 + 1738*d - 2. What is the second derivative of l(f) wrt f?\nAnswer: 40*f**3 + 10044*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*l**3 + 1 - 80*l**3 + 0)*(l + l**2 - 3*l**2 + l**2).\nAnswer: 4*l**5 - 4*l**4 - l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*h**3 - 10*h**3 - 116*h**3 - 148 in the form g*h**3 + y*h + r*h**2 + n and give n.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259140 = 277*b - 172*b. What are the prime factors of b?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 10*u. Suppose u*t = 2*t - 1390. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1838 and 980573.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2344 or -2343?\nAnswer: -2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68208 and 6293?\nAnswer: 2114448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**28\/((v**(2\/3)*v)\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53434546229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5502, -7790, -10066, -12324, -14558?\n\"Answer: t**3 - 2295*t - 3208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-15))\/(4\/10). Suppose w - r*b = -w, -2*b = -4. Differentiate -68 - 2*g**2 + 4*g**2 + 5*g**w + 74 with respect to g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1144 at most as big as -1143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/86, 0, 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-22)\/12)*1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1\/2, -3\/23, -0.2, 3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75171*z**2 - 75161*z**2 + 300679*z**2 - 75178*z**2 - 75171*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 299 + -285. Let h be ((-7)\/(-3))\/((-1)\/(-42)). What is the greatest common divisor of l and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 - 5 + 9*j + 14*j + 5 - 22*j.\nAnswer: 9*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + -5*(sqrt(13) + 1) + sqrt(52)\/(sqrt(4)*-1) + -1 + (sqrt(13) - (sqrt(13) - ((-6*(sqrt(13) + 0) - sqrt(13)) + sqrt(13))))))**2.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902227975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from ezvsexzjsexesv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 68 + 0*n**3 - n**3 + 72 - 3*n + 0*n**3 in the form f*n + g*n**2 + q*n**4 + z + p*n**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15881.4165004 and -0.4.\nAnswer: 15881.0165004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 180542?\nAnswer: -180545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 7 - 357. Suppose r = 2*w + 4055, 3*r + 2 = 17. Let a be 1\/(-2) + w\/(-18). What is the highest common divisor of g and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n - 2. Let c be o(-5). Let a be 4\/(-30) + 30073\/435. What is the highest common divisor of a and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10591886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -30588314100 rounded to the nearest one million?\nAnswer: -30588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42523000 rounded to the nearest one million?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f. Let t(v) = 16*v. Let m(x) = 22*q(x) - 4*t(x). Let z(h) be the third derivative of 0*h + 0*h**3 + h**2 + 1\/12*h**4 + 0. Calculate z(m(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from ececeeeeeeeeeeeeeeee.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 - 2*w**3 - 4*w**2 - 2*w + 2*w**2. Let t be h(-2). Let c be 24\/15*10\/t. Solve -4*f + 30 = c*n + n, -1 = f - 3*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5 - 289218*o**4 + 8099670*o**3 - 75794352*o**2 + 267311781*o - 315049878 = 0. What is o?\nAnswer: -96434, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -838*p + 160*p - 2353*p + 77*p - 1116*p in the form m + n*p and give n.\nAnswer: -4070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 241\/13 + (-4770)\/(-10335)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1990, 3816, 5640, 7462, 9282, 11100, 12916?\nAnswer: 14730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -28. Let o = 4 - 0. Solve -3*h - b = h + 11, -o*h = -u*b - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -3*m + 3*i + 249, -4*i = 2*m - 170. What is the remainder when m is divided by 26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2685 by -439.\nAnswer: 2685\/439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -733, -5809, -19565, -46333, -90445, -156233, -248029?\n\"Answer: -722*v**3 - 8*v**2 + 2*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**4*n**(-2\/3)*n\/n**(-6)*n**(1\/8))**(-3\/10) assuming n is positive.\nAnswer: n**(-83\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -840*g - 3183. What is q(-4)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1873*w**3 - 928*w**3 - 947*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -47*h - 1\/2*h**3 + 0*h**2 + 0. Let r(f) = -2*f**2. What is r(p(t))?\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**4\/13 + 178*d**3\/13 - 114134*d**2\/13 + 1006622*d\/13 + 2471172\/13 = 0.\nAnswer: -291, -2, 11, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from {d: 2, u: 2, g: 6, w: 3, a: 2, v: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3022323, 3022359, 3022463, 3022671, 3023019, 3023543?\n\"Answer: 6*p**3 - 2*p**2 + 3022319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 232302113 (base 4) in base 3?\nAnswer: 100201212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5 - 240*v**4 - 19833*v**3 + 42186*v**2 + 142896*v + 81120 = 0. Calculate v.\nAnswer: -52, -1, 4, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792 a factor of 370393856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -29874021 divided by 9958007?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 7*q + 78. Let w = q - -55. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j = 39*g + 767, 2*j + g - 717 = -g - 775 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1008) + 0 + -3*(sqrt(1008) + -1)**2)*5 + (sqrt(1008) - (2 + -3*sqrt(1008))) + 2 + 4.\nAnswer: -15131 + 468*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*h = 5700, -5*x + 14*h + 9509 = 18*h. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 14*k + 4. Calculate the lowest common multiple of 4 and y(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/20*-15*7\/(-126)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**2 - 3*y + 6. Let x(i) = -4*i + 7. Let p(b) = -b**3 - 4*b**2 - 5*b - 11. Let a be p(-3). What is a*h(v) - 2*x(v)?\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1*21\/(-6)*2. Solve o = -j + 4*a, 5 = 3*a - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9)**15)**(-7\/9) assuming l is positive.\nAnswer: l**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.346943 rounded to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2052) + (sqrt(2052) - 2*sqrt(2052) - sqrt(2052)))\/(sqrt(147) - sqrt(147)*-2))**2.\nAnswer: 684\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 943 divide 247994085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3591 = -2*b, -7*b + 7200 = 2*n - 12*b. Suppose -5*t + n = -5*j, -727 = -t + 4*j + j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -19528, -3.\nAnswer: -19528, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 11958.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1639\/3 + -546. Let s = -0.039 + 1.039. Let q be 1*2*(-6)\/20. What is the nearest to p in 4, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 62*r**2 + 2*r - 1. Calculate the remainder when v(1) is divided by (-1 - -31) + (-4)\/(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -2 (c) 4\/23 (d) -11 (e) -1.4 (f) -0.09 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86\/31 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 * 530095\nAnswer: 3710.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76464281 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.27 and -0.21194.\nAnswer: 0.05806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -5*i**3\/3 + i**2\/2 + i + 5. Determine a(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12356037 divided by 2323\nAnswer: 5319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0588257 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 9, 8, -10791 in descending order.\nAnswer: 9, 8, -100, -10791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -698294 and -698299 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 3*s + 3. Let i(g) = -7*g**2 - 6*g - 5. Let j(x) = -3*i(x) - 5*p(x). Let m be j(0). Which is smaller: 9\/8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 + -1561 + (1 - 2 - -6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let t(v) = v**3 + 6*v**2 - 6*v - 5. Let r be t(-7). Let g be 2\/(-3)*r\/68. Which is the second smallest value? (a) s (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 3*g**4\/4 - 12732*g**3\/5 + 24323211*g**2\/10 - 9723174*g\/5 - 5391. Determine u, given that q(u) = 0.\nAnswer: 2\/5, 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -50, -126, -274, -518?\n\"Answer: -4*t**3 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h. Let n(g) = -17*g + 18. Determine n(o(r)).\nAnswer: 187*r + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**37*b*b\/((b**42*b)\/b) assuming b is positive.\nAnswer: b**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p**2 + 4*p - 13. Let s be f(2). Differentiate -s - z + z + z wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - 54. Let v = c + 63. Solve -10 = 5*i + 4*d, v*i - 2*i + 2 = -2*d for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9497542 to the nearest integer?\nAnswer: 3082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009327 rounded to 4 dps?\nAnswer: 0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (3 + 1)) + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 g, and 1 s when three letters picked without replacement from gsmus.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5\/5 + 201*b**4\/5 - 189*b**3\/5 - 609*b**2\/5 + 996*b\/5 - 396\/5 = 0. What is b?\nAnswer: -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*d**2*s**5 + 8*d**2*s**3 + 3*d**2*s**2 - 2*d*s**2 + 35*s**2 wrt s.\nAnswer: -600*d**2*s**2 + 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**7\/7 - 23*z**3\/2 - 16*z**2. What is the first derivative of n(q) wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + x + 14. What is the lowest common multiple of k(0) and 244?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, a: 2}. Give prob of picking 2 c and 1 a.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -657406, -1314778, -1972146, -2629510, -3286870, -3944226, -4601578?\n\"Answer: 2*z**2 - 657378*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**3 - 6*f**2 - 2*f + 28. Let l(z) = -z**3 + z**2. What is -d(s) - 6*l(s)?\nAnswer: -2*s**3 + 2*s - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 77890116 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.1 to 0 decimal places.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s - 7. What is the remainder when 403 is divided by x(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - 0.5. Let u = -2.2 - -2. What is the nearest to -1 in l, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.71354 decades in years?\nAnswer: 987.1354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25659 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: Let x = 481.93 - 476. Let p = x - -0.07. Let t = -5.5 + p. What is the biggest value in -4\/7, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/29826 and -55\/156.\nAnswer: 775476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109791676 or 109791674?\nAnswer: 109791674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**2 - 4*c**2 - 6*c**2 - 10*c + 9 + 3*c**2. Let m be b(9). Suppose 0 = -m*q - 2*q + 114. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 126 = -24*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 - (-2 - (-3 - (-1 - 1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 7*n**2 + 7*n - 8. Let z be a(6). Sort z, 2, -5 in increasing order.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (21 - 13 - (3 + -6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-108)\/(-30) + (-4)\/(-10). Suppose 15 = -x + u - 5*u, q*x - u - 25 = 0. Suppose -x*c + 49 = 4*t - 191, 2*t = 5*c + 150. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((m - m + m)*(-4 + 0 + 3) + (18 + 35 - 294)*(m + 0 + 0))*(55 - 15*m - 55) to the form w*m**2 + p*m + s and give w.\nAnswer: 3630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233.9 + 234. Sort z, -4, -3, 1.1 in decreasing order.\nAnswer: 1.1, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + (sqrt(243) - (sqrt(243) - (sqrt(243) + -2 + sqrt(243))))) + 5 + 2 + sqrt(243) + 0 + sqrt(243))**2*2.\nAnswer: 1800*sqrt(3) + 48650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.9. What is the closest to 0.1 in l, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141\/21 - 7 - 37*4\/(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133230133 (base 4) in base 7?\nAnswer: 1050331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let u(a) = -26*a**2 + 9*a**2 + 2*a - 2*a. What is u(x(r))?\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:17 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59012288*n - 184379997?\nAnswer: 59012288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + 0.7. Let v be -4 - 6 - 18\/(-63)*42. Let d = -0.2 + -0.8. Which is the third biggest value? (a) v (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109199 (base 11) to base 12\nAnswer: 84323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/30 and -109\/864.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 - 7 + 2 - 5 + 10.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 299226946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -2*u - o, 6*u - 177 = u + 3*o. Suppose -26 = -2*s - 2. What is the remainder when u is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 150 = -5*o, -5*o - 2*r + 79 + 80 = 0. Let h be -2 - (1 + o\/(-12)). Let a = 0.05019 - -1.94981. Put -1, h, a, -2 in descending order.\nAnswer: a, h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113881430461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/30 + 5 + 8\/12)*3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -68, -105, -144, -185, -228, -273?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 61 - 10. Suppose 4*l - 105 = -o. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 21. Let i(b) = -4*b - b - 2*b - 3*b**2 - o. Let r(k) = -2*k**2 - 5*k - 5. Give -5*i(z) + 7*r(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -1.03, 396, -1\/3, -1.33, 4, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 5*y - 20, -4267*y = 4*p - 4262*y - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/(2\/(-82)). Suppose -13 = 2*j - v. What is the common denominator of -67\/10 and (38\/j - 2) + 0?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - g - 3 = 0, h + h + 2*g + 6 = 0. Let f(d) be the second derivative of -d**2 + 1\/6*d**4 + h + 3*d + 1\/6*d**3. Calculate f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296850 - 70763. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 18*m + 1203. Calculate b(-68).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**2 + 6*f + 1. Let k(d) = -7*d**2 + 9*d + 2. Give 5*k(r) - 8*p(r).\nAnswer: 5*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)*51\/17. Let f(j) = -5*j**q - j**2 - 5*j + 5*j**3 + 3*j - j**3. Let c be f(-2). What is the greatest common factor of 88 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 1028*c + 3082\/3.\nAnswer: 2*(c - 1541)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qir when three letters picked without replacement from {u: 6, z: 1, r: 3, q: 2, i: 1, g: 2}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 31*y - 15. Let d be s(14). Is 28 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 + 2*y - 5. Let j be (-1 + -4)\/((-44)\/24 - -1). Suppose 2*o - 3*o = 17. Let c(t) = -6*t**2 + 6*t - 14. What is j*c(x) + o*z(x)?\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.4 and -102?\nAnswer: 3100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1 + 2*q + 2*q + 5*q. Suppose 0 = 3*u - u + 14. Let p(y) = y**3 + 8*y**2 + 8*y + 8. Let s be p(u). Calculate t(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2382658\/369072 - 2\/176?\nAnswer: 58\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, 4, 1\/5, 24.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -13*m + 33 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 4*l - l. Let k(m) = 6*m - 2. Let i(s) = -75*s + 27. Let z(p) = -4*i(p) - 54*k(p). What is z(r(j))?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -8\/1285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/20 - (2080\/25)\/(-4). Let t(l) = -l**2 - 16*l - 25. Let s be t(-14). Solve s*o + k = 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2819, 4, 0, -2011 in descending order.\nAnswer: 4, 0, -2011, -2819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -209, -303, -391, -473, -549, -619?\nAnswer: -683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = b + 22, -8423*t + 8434*t + 4*b + 61 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from rrrppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43961, -43963, -43965, -43967?\n\"Answer: -2*a - 43959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.394 rounded to 2 decimal places?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3\/3 + 35*c**2 - 580*c\/3 + 160.\nAnswer: -5*(c - 12)*(c - 8)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -940800 divided by 1.\nAnswer: -940800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k - 12. Let w be p(-5). Suppose -3*m + w = 6. Put m, 0, 3 in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 55 + 13 + 44 - 38*k + 24. What is the hundreds digit of o(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 3. Let b be (-4*(-2)\/(-10))\/((-14)\/(-315)). Let s(i) = 4*i - 17. Let t(d) = -4*d + 18. Let n(h) = 5*s(h) + 4*t(h). Calculate b*g(u) + 4*n(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241290 and 2114.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 6. Calculate the remainder when 25 is divided by 1 + t\/(-3) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -12*c + 22. What are the prime factors of s(-7)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, k: 3}. What is prob of sequence ukk?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284335260?\nAnswer: 2, 5, 13, 4939751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2512 - 2507. Sort 0, n, 32, 2 in descending order.\nAnswer: 32, n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:18 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3015*x**3 + 5*x - 2996*x**3 + 1 - 7*x**2 + 3*x + 6010*x**3. Let c = 13 + -8. Suppose -6*t = -c*t + 8. Give f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -487 - -227. Calculate the common denominator of (p\/16)\/((-6)\/(-4)) and 8\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42.7 times -785\nAnswer: -33519.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 898742 minus 0.5?\nAnswer: 898741.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0*d**2 - 1\/12*d**4 + d + 0*d**3 + 0. Let h(j) be the first derivative of 5*j**3\/3 - 23933. Calculate h(l(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1050 - -4426. Let q = 1093 + w. Let t = -49127\/11 + q. What is the common denominator of 11\/6 and t?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22938?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l. Let x = 7 - 3. Suppose 12 = x*a - 4. Does 4 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 2\/13, -0.5, -19\/6, -0.09, 2?\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 2*b**2 + 105*b - 2055. Calculate l(0).\nAnswer: -2055","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**4\/4 + 2*j**3 + 7*j + 3. Let o be n(-6). Solve -24 = 3*w + 3*y, -3*y = 2*w - o*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11390, -22794, -34212, -45644, -57090, -68550, -80024?\nAnswer: -91512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 112, 167, 224, 283, 344, 407?\n\"Answer: q**2 + 50*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 4. Give v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0*(d*(d\/(d*d*d*((d\/d**(1\/3))\/d)\/d))\/d)\/d*d\/d**(-1\/3)*(d\/d**(-1\/3))\/d)**(-36))**(-5\/4) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16879 divided by 4\nAnswer: -16879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 185*t**4\/12 - 10*t. Let d = -1 - -2. Is g(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 427*d**6\/120 + 127*d**5\/20 - 13*d**2 + 2. What is the third derivative of y(l) wrt l?\nAnswer: 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51895?\nAnswer: 5, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/4)\/(2\/(-184)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p**2 + 6*p - 14. Let k be h(2). Put k, -0.15, 1\/4 in ascending order.\nAnswer: k, -0.15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**4 - 2*f**2 + 13*f**4 - f + 3*f**2 to the form t*f + j*f**2 + l*f**4 + b + p*f**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 94*z**2 - 5*z - 532. Give s(-94).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.252688995 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r. Let d(w) = 7*w - 6*w + 7*w. Give d(p(u)).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8380 + 3548 + 3390)*(8*x**3 + 5*x**3 - x**3) to w*x + t*x**3 + o*x**2 + v and give t.\nAnswer: -17304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k + 104*k**2 - 4 + k**3 + 97*k**2 - 203*k**2.\nAnswer: (k - 4)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is aa0a + 2?\nAnswer: aa10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/200)\/((-17264)\/65). Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -150. Suppose -h - 256 = -5*g. Let q = g - 38. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - 1. Let c be (0 + 1\/(-2))*2. Calculate z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 20 + (-27 - (-35 + -77))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2836 divided by -4?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1626.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - x + 114 = 122, -33*r + 4*x = -351 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {e: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24034623 is divided by 462.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) -2\/9 (c) -0.5 (d) -3 (e) 1970\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 28 = -0. Suppose -4*n + 1 = -v, t*n = -5*v + 2*v - 3. What are the prime factors of -4 - (24\/(-2) - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150761173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/6 - (-112)\/24 - -61. Solve -4*x = 9*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5293 = -19*d - 4245. Let q = -501 - d. Let j be (0\/2)\/(2 - 4). Solve j = -2*r + r - q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3665343183, -3665343182, -3665343181, -3665343180, -3665343179, -3665343178?\n\"Answer: x - 3665343184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -344266, -1376981, -3098146, -5507761, -8605826, -12392341, -16867306?\n\"Answer: -344225*o**2 - 40*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 113574.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 less than -1240\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 683 rounded to the nearest 10?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -13*y**2 - y. Let n be l(-1). Let s be (-2)\/n + (-231)\/(-18). Solve 7*k + 2*x + 16 = 2*k, k = 5*x + s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 96.69405 nanometers?\nAnswer: 0.000009669405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 339*k**3 - 4*k**2 - 9*k - 9. Let o(a) = 85*a**3 - a**2 - 2*a - 2. Determine 9*o(v) - 2*w(v).\nAnswer: 87*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1628, 0, 2268, -4 in descending order.\nAnswer: 2268, 5, 0, -4, -1628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**5\/2 - 99*d**4\/4 + 279*d**3\/4 - 69*d**2\/4 - 117*d\/4 = 0. What is d?\nAnswer: -1\/2, 0, 1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 0*g**2 - 1\/12*g**4 - 8*g + 4\/3*g**3 + 0 + 781\/20*g**5. Let b be o(-8). What is b rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a = 4*a + 13*a. What is the nearest to -1 in 14, a, 7, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 383 - 391. What is the units digit of 310*1 - x\/(-24)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 3 + -7 + -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7005906 and 6987.\nAnswer: 119100402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2 + 5*r - 9. Let l(u) be the second derivative of u**4\/2 - 2*u**3\/3 + 4*u**2 - 19*u. Determine -4*j(k) - 5*l(k).\nAnswer: -2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 14*b + 15. Let n be (-10)\/(-14) + b - (-1200)\/11550. What is the closest to -2\/3 in -5, n, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.46 - -2.46. Sort 0.25, g, -0.1 in descending order.\nAnswer: g, 0.25, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 + -5 + 8 - 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12771306 - -68?\nAnswer: 12771375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2297 (b) -5 (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -49. What is the second biggest value in 2, -1\/15, 3, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*a = -1, 4*r + 3*a = -a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + g**4 + 1971*g**2 - 984*g**2 + 8*g**4 - 989*g**2 + 1 - g**3 - g to d + z*g + f*g**2 + m*g**4 + y*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.683 rounded to zero decimal places?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6364043 (base 8) to base 14.\nAnswer: 322a55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2144761*a**4 + 2*a**2 + 122072*a + 231.\nAnswer: -51474264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12 >= 2389410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 5*u - 20. List the prime factors of (-6)\/(-12)*-1 + (-1154)\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (7 - 9) + (9 - 1). Suppose -483 + v = -5*o. What is the remainder when o is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, z: 1, h: 4, q: 1, g: 2, a: 1}. What is prob of picking 1 h, 1 a, and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + d - 4. Let v = 6 + d. Solve -4 = v*t + 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 53350*k + 266703. Give c(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*y + 5*y. Let a be y*6\/(3\/1). Solve -a = 2*q - 0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -98.12 and -0.1?\nAnswer: 98.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuupapau. Give prob of sequence ap.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from {l: 6, p: 3, g: 3, r: 2, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1669, 1716, 1795, 1906, 2049, 2224?\n\"Answer: 16*g**2 - g + 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (221\/39 - 5)*(-6)\/54?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 30. Let b = x + -5. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**0\/s*s*s*s)\/(s\/(s**(-1\/7)\/s)))\/(s**(-2\/9)*s*s*s\/(s\/s**(1\/2))) assuming s is positive.\nAnswer: s**(-53\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/51? (a) -1\/3 (b) 4 (c) -1 (d) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*j + 16 = 0, -4*s + j = -0*j - 12. Suppose -22 = 5*f - s. Let d(h) = 3*h + 2. Give d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.7947 plus 0.04?\nAnswer: -19.7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/5 - 44*x**2\/5 - 8*x.\nAnswer: -4*x*(x + 1)*(x + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -174611\/12 + 14541. Find the common denominator of -67\/50 and o.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, 4 in increasing order.\nAnswer: 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5147642 + -463260959\/90. Let u = q - 2584\/9. Calculate the common denominator of u and 67\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose -v*s = 9 + 3, -x = -4*s - 15. Suppose 0*q + q + 9600003 = 2*l, x*q = -9. Round l to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870472 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -49*w + 3. Let j(n) = -324*n**2 + 40*n + 1. Calculate l(j(k)).\nAnswer: 15876*k**2 - 1960*k - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*((3*t - 9*t + 3*t)*(-t + t**3 + t) - 5*t**4 + 4*t**4 + 5*t**4).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 135965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 40560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 33057, -1, -2 in increasing order.\nAnswer: -42, -2, -1, 33057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -24*l + 21. Let u(i) = -i - 1. Let p(y) = f(y) - 3*u(y). Let q(o) = -o + 1. Let t = 4592 + -4664. What is t*q(z) + 3*p(z)?\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*y**2 - 26*y**2 + 62*y**2)*(0*y + 2*y + 2*y) to k*y**3 + u + s*y + i*y**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33075, -66132, -99189, -132246?\n\"Answer: -33057*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16861, 67399, 151627, 269545, 421153?\n\"Answer: 16845*v**2 + 3*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520887964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.15 - 5.21. Which is the second smallest value? (a) -0.1 (b) 5 (c) -1 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + d + d**2 - 2*d. Let i be -3*(3\/(-9))\/1. Let t(u) = 2*u + 1 - 2*u**2 + 4*u**2 - u + 1. Give i*a(z) + t(z).\nAnswer: z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + o - 4. Suppose -4*t + 25 = o*y - 35, -y + 4 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.183 times -21.3\nAnswer: 280.7979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**5*x**3 + 7*m**5*x - 139*m*x**3 + m*x**2 - x wrt m.\nAnswer: 140*m**3*x**3 + 140*m**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.5 + -9. Suppose -3*l - 2*l = 0. Let m = 0 + l. Which is the nearest to m? (a) -5 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122 (base 3) to base 4.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 34 - t - 34. Let m(f) = -9*f**2 - f - 3. Let p(q) = 6*q**2 + 7*q + 21. Let h(j) = -21*m(j) - 3*p(j). Give h(r(d)).\nAnswer: 171*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -j**6\/120 + j**5\/60 - 38*j**2 + 1. Let f(z) = 8*z**3 - 9*z**2 - 2*z. Calculate 2*f(i) + 18*w(i).\nAnswer: -2*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -22*z - 16 - 17. Sort 0.3, 1\/29, -0.07, z in decreasing order.\nAnswer: 0.3, 1\/29, -0.07, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -83 - 6 - (-5 - (-3 - -7 - 7)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.1717 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*s + 291.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-2 - 13 - -7) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -817500 rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/17450?\nAnswer: -3\/17450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 - 1.62. Which is the third biggest value? (a) 44 (b) p (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/5 + 58*m\/5 + 3192.\nAnswer: -2*(m - 105)*(m + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**4 - 5*d**3 + 3*d**2 + 2*d - 7. Let s(c) = 3*c**4 - 19*c**3 + 13*c**2 + 8*c - 27. Let t(l) = -22*p(l) + 6*s(l). Suppose t(z) = 0. What is z?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 97*o + 120. What is c(-46)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwmwmzmwmmmm. Give prob of sequence mw.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -30, 4 in increasing order.\nAnswer: -30, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -1)*10\/(-3). What is the highest common divisor of q and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14*(1 - 8). Suppose -3*s = -5*a + 4*a + 22, 16 = d*a + s. Solve 3*g - a = -1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = 4*l - 133. What is the highest common factor of 380 and l?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + v**2 - v + ((2 + 0 - 1)*(-2*v + v - 2*v) + 2*v - v - 9*v)*(-2*v + 2 - 2) to the form u*v**2 + q*v + c and give u.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfmcffcfcffdd. What is prob of picking 1 d and 1 c?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1.6. Let z = o - -0.4. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348736 divided by -1?\nAnswer: -348736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwjiirv. Give prob of picking 1 v and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 1)*(2*l**4 + 0*l**3 + 0*l**3)*(-l + l - l).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -39?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -2*w - 21. Let q be w\/(-27) - 4\/(-18). Solve 2 + q = o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -5*v + 2*l, 11 = -4*l - 5. Let t = 53 + v. Calculate the greatest common factor of 95 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-2\/9)\/b)\/b)\/b*b)**(-24)\/((b*(b*b**(-4))\/b*b)\/b**(1\/14)) assuming b is positive.\nAnswer: b**(2327\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - f - 8 = -5*f, 5*s - 4*f = 32. Suppose s*l + 9 + 19 = 0. Let h = 12 + l. Solve 3 = -b + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**6*f))**(-29)\/((f\/(((f*f**(-11))\/f)\/f))\/f*f*f**(2\/19)) assuming f is positive.\nAnswer: f**(3057\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665982 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/30 + b**5\/20 + 5*b**4\/24 + b**3\/3 - 17*b**2. What is the units digit of j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - 18. Let c(z) = z**2 - 11*z + 27. What is the remainder when t is divided by c(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 21, -2, -23, -36, -35?\n\"Answer: l**3 - 8*l**2 - 2*l + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 + 54*a**2 - 6060*a - 12312.\nAnswer: 3*(a - 38)*(a + 2)*(a + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*c**2 - 91*c**2 - 94*c**2 + 264*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(380) - (2*sqrt(380) + sqrt(380)) - sqrt(380))\/sqrt(10)*-2)\/(sqrt(22)\/(-2*sqrt(11)*1)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**2 - 12517620*x + 62587975 = 0. What is x?\nAnswer: 5, 2503519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = 4*r, 3*o + r = 8. Let u be 10\/o*(-88)\/(-110). Is 32584\/24 - u\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276295496 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.05903451878 and 0.\nAnswer: -0.05903451878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -6. Suppose -25*j + 30*j = -u. Let h = j - -227. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22113 - -0.2.\nAnswer: 22113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 6*b - 3*b)*(-5*b**2 - 6*b**2 + 9*b**2).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 55061*b + 991172. Give p(-18).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -794 - -1789. Let f = -994 + k. Let h = -139 - -94. What is the third smallest value in h, -4, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b36 - -1?\nAnswer: b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580018147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 10*k - 80 = 0, -17*r + k = -13*r - 18 + 38 - 5 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) - ((sqrt(567) - (sqrt(567) - 1*sqrt(567)))*6 + sqrt(567)) - (-2 + sqrt(567) + sqrt(567) + sqrt(567) + 5))*-4 + -4)**2.\nAnswer: 5184*sqrt(7) + 734896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142 - 1?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 42228004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 5 + -5 + (7 - 15) + 32 + 3.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isiississsiiiiiiij. Give prob of sequence sii.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (9 - 4) - (10 + (-14 - -6))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 32\/(-12)*(-48)\/64. Solve -o*w = -0*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*u - 36, 4*f + 64 = -u - 3*u. Let v = -8 - f. Which is the second biggest value? (a) -5 (b) -1\/10 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-0.2046167.\nAnswer: -0.22507837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8937.00000010097 - 8937. What is j rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 6681?\nAnswer: -6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, d: 7}. Give prob of picking 1 d and 2 u.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -4)\/(9 - 8). Let i be (-9882)\/(-305) + (-2)\/r. Calculate the greatest common divisor of i and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a. Let n(l) = 51 + 3*l**2 - 104 + 51. Give -n(y) - 2*p(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 3*a + 7 - 1 = -19, -2*s - 2417 = -5*a - 2416 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1613*n**2 - 7 + 9 - n + 0.\nAnswer: 1613*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = -2*b - 13*f + 28*f - 95, 0 = b + 4*f + 20 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 35. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118880 divided by -4.\nAnswer: 29720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76316953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10*l - 13*l + 3138 = 0, -2*l + 4 = 0. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-450)\/(-675))\/((-7)\/(-9) + -1). Let u = 365 + -680. Let q be z\/(-5) - (-119)\/u. Put 1, q, 5 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 925465 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 2 - 32 = 0. Let o(d) = 2*d**3 - 11*d**2 + 7*d - 7. Calculate the remainder when -8*2\/4 + 8 is divided by o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.9 or -5.68?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 14*w**2 - 25*w + 28. Let o be u(16). Let f = o - 140. What is the smallest common multiple of 1 + 1 + f\/25 and 23?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 5:18 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {t: 1, l: 1, z: 6, e: 2, r: 2, b: 5}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*b + 1663 - 42 = 146*b - 243 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 46*f = -43*f - 3, -2*a + 5*f - 33 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -5*t**4\/6 - 36*t. Let x(y) = -4*y**2 + 4*y**2 + y**2. Give x(p(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -1\/12, 5, 0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -386.307 - -386. Let j = i - 1.223. Let x = -1.401 - j. Round x to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-13) - 14\/(-91)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -367 times -0.2\nAnswer: 73.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1296559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 - 7 = 0. Suppose -x*p + 3 + 6 = 0. Let c(b) = 2*b**2 - 3*b**2 + 2*b**2 - p - 2 - b. Give c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 35153092.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.358? (a) -0.49 (b) 2 (c) 182 (d) -2\/3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3490*x = -3489*x + 4*j + 36, -2*x + 3*j = 39 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**7)\/z**(-1\/8))**(2\/7)\/(z*z**4*z**(-2)*(z\/z**5)\/((z*z\/z**(-1))\/z)) assuming z is positive.\nAnswer: z**(149\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -15) + (9 - 5) + 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**2\/2 - z + 1. Let j be 22\/18 + (-6)\/27. Suppose 6 = f - 2*f. Let v(t) = -2*t**2 + 8*t - 6. Give f*d(p) + j*v(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118101.2 and 4.2.\nAnswer: -496025.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 + 3*l**2 + 73 + 0*l**2 - l**2 + 4*l - 4*l + (-1 - 1 + 4)*(6*l**2 - 2*l**2 - l**2) + 2 - 2 - 2*l**2.\nAnswer: 6*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -1. Let v(m) = -11*m - 95. Let y be v(-9). Suppose 37 = 3*h + 5*i + 12, y*h - 3*i = -15. Which is the second biggest value? (a) t (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -10, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahassaaaaamasa. Give prob of sequence ma.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*m**3*u**2 + 248*m**3*u - m**3 + 2*m**2*u**2 - 5*m**2 + 55*u - 14 wrt m.\nAnswer: -102*u**2 + 1488*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*q + 5 = 99*q. Calculate the remainder when 425\/(-15)*q\/(10\/12) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-156)\/5)\/((-26)\/130) is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6*m**2\/7 - 20196*m\/7 - 182250\/7 = 0.\nAnswer: -9, 3375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - 49. Let x = y + 69.2. Let f(d) = d**2 + 4*d. Let o be f(-5). Which is the third smallest value? (a) -0.04 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1129, 1383, 1603, 1771, 1869?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0*d**2 + d**3 + 4 + 0*d**2 - 4*d - 5*d**2. Does 6 divide v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - (-60)\/35). Let t be 1\/((2 + h)\/85). Let z = 0 - -2. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174834417.\nAnswer: 3, 29, 1187, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s = -31*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -27*a. Suppose 40*c = -881 + 1001. Let j(s) = 27*s. Calculate c*q(l) + 4*j(l).\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6423?\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 966628451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:38 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {n: 1, k: 4, a: 3, d: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 10*t - 13. What is u(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y**2 - y - 36 - y - 15*y**2. What is the units digit of o(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*o**3*y + 7*o**2*y**3 - 5*o*y**3 + 2*o*y**2 + 3*o*y + 166*y**3 wrt o?\nAnswer: -708*o*y + 14*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:03 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -0.3, -1\/2 in descending order.\nAnswer: 1\/9, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, q: 4}. What is prob of sequence qhq?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 724889412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**3 + 48*l**2 - 48*l**2.\nAnswer: 55*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/27*0\/((-2)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 - 9)*(2*j - 4 + 4).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22.859 times -0.4\nAnswer: -9.1436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -12. Suppose -y*j + 0*n + 76 = 2*n, 0 = -3*n. Let k = j + -36. Which is the third smallest value? (a) k (b) 5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3084 - 6062 - 854 = 164*t + 1316 for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -5*s - d + 6, 10*s - 3*d - 31 + 33 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*z + 28, 13569958*v - 13569967*v = -3*z - 60 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 9, v: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 63 - 17 = 0. Let m be 22*(1\/(-4) + 25\/t). Is 20 a factor of 815\/20 - (m\/(-12) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 206, 403, 692, 1079?\n\"Answer: d**3 + 37*d**2 - 7*d + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/297321 and -97\/1302?\nAnswer: 4162494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznznxmmnmeznmzm. Give prob of picking 2 m and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -87, 0.9, 0, -3\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-11))\/((-7)\/(-77)). Suppose 2*k - q*k = -16, 0 = -3*r - 5*k + 44. Let g(c) = -c**3 + 8*c**2 - c + 4. Give g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 equal to 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 276*g**2 + 470*g - 1. Calculate t(-3).\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i - 13. Let w(t) be the third derivative of t**5\/40 - t**4\/8 - t**3\/3 + 2*t**2. Let c(h) be the first derivative of w(h). Give -9*c(u) + 2*x(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 2}. What is prob of sequence mama?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(0*b - 3*b + 2*b) - 44 + 44 - 32*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 17}. What is prob of sequence xp?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 4*b**2 - 12*b - 10*b + 4 - 4*b**2 + 3*b.\nAnswer: -8*b**2 - 18*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 32 (b) -0.1 (c) -2\/1141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kko when three letters picked without replacement from okkkkkknooo?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/6 + 43928*u**2\/3 - 2020249*u\/6 + 1317495 = 0.\nAnswer: 5, 18, 87833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/96243328 and 55\/24060832.\nAnswer: 96243328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 517.2117 millimeters?\nAnswer: 51.72117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + c + 17. Let a be u(5). Let t be (-1)\/(a\/(-15)*5\/(-2)). Let y(d) = -d**2 + 0*d**t + 4 - 4. Let p(f) = -5*f**2. Give y(p(q)).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937750577 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 5:17 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -1\/2*q**2 - 29 - 2\/3*q**3 + 9*q. What is the first derivative of x(z) wrt z?\nAnswer: -4*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-2 - -2 - 4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) - (-2 + (-28746)\/63). Let b = g + 285. Is 72 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/(4\/(-11664)*6). What is the greatest common factor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90488964.\nAnswer: 2, 3, 601, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 1772 + 911 = p - 909, d + 11*p = 45 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -511 and 1422.41.\nAnswer: 911.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.196 and 415.\nAnswer: -496.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9213, 9253, 9317, 9405, 9517, 9653?\nAnswer: 9813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/38*-17*(-73)\/(-1241).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 6:31 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -46, -100, -176, -274, -394?\n\"Answer: -11*k**2 + k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqheeqhqheq. What is prob of sequence hhq?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 97 + 652. Suppose -3*k + 2*k = -n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**4 + 3*r**3 - 7*r**2 - r - 1. Let x(h) = -2*h**4 + h**3 + h**2 + h + 1. Let z(m) = s(m) + x(m). Factor z(c).\nAnswer: 2*c**2*(c - 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 686 = 27*t - 997 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**33*h)**(-42) assuming h is positive.\nAnswer: h**(-1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Suppose -2*b + w = 2. Let q(r) = -5*r**2 + 1. Calculate q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/((24\/2)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 15, 25, 27, 15, -17, -75, -165?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3\/2 - 2*r**2 + 2*r. Suppose 2*p - 20*p = 36. What is the tens digit of q(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -869\/1132 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 10\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70000 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6186541 to 4 decimal places.\nAnswer: 0.6187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n**2 + n)*(0*n + 0*n - n**3) + (-14*n + 65*n - 8*n)*(18*n - 9*n - n)*(3*n**3 - n**3 - 3*n**3).\nAnswer: -342*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 0 + 5 - (-3 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:54 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35790 - 35805.0024. Let d = 15 + u. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 11) to base 10.\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:44 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 9810*o + 0*o**3 + 10*o**3 + 9810*o.\nAnswer: 10*o**3 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 182?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 - -11.33964.\nAnswer: 9.23964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**4 - 10962*b**3 + 145*b**2 + 35709390*b wrt b.\nAnswer: 12*b**2 - 65772*b + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1927 divide 315038635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let z = 0.0431 - -1.1569. Which is the nearest to 2\/5? (a) z (b) -2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b8413 (base 13) to base 6.\nAnswer: -130512433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {j: 1, u: 4, c: 9}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 34008.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 27*h + 53. Let f be m(-2). Which is smaller: f or 113\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135796 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -691*v - 458*v + 2065*v - 454*v - 457*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3202 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 35 = 23*i - 14*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**3 + 66191791*o**2 + 3*o + 78064760 wrt o.\nAnswer: -24*o + 132383582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*6\/(-4)*27\/((-891)\/(-88)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*(-4*(sqrt(704)*1 - sqrt(704)) + -4))**2.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55392664?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -270 (base 13) to base 3\nAnswer: -120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0044, -1\/9, 2, -2, -3 in descending order.\nAnswer: 2, 0.0044, -1\/9, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -3*u - b, 3*u + 17 = 4*b. Let x(h) = 16*h**3. What is the units digit of x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1230990 - -1230940.0019. Let d = j + 50. What is d rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - o**2 - o - 130. Suppose -3*s = -2*s - 5*z + 25, -z + 5 = -4*s. Let k be d(s). Let q = -51 - k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 6*z**2 - 1\/70*z**7 + 0*z**4 - 2 + 0*z + 0*z**6 - 2\/15*z**5 + 23\/6*z**3. What is the derivative of p(u) wrt u?\nAnswer: -12*u**3 - 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1871\/4029 - -15\/79. Let v be 0 + 4*(-4)\/(-272). Let g = z - v. Which is the nearest to g? (a) 1\/3 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6180 divided by -4.\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 k when four letters picked without replacement from kkkkkgkggggkkgkg?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**5\/20 + 2*r**2 - 4*r - 4. Let x(d) be the first derivative of t(d). Differentiate x(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -34*a**2 - 516*a - 10. Let p be q(-15). What is the greatest common divisor of p and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1700) + 0)**2*-1 + sqrt(1700) + -2 + 4 + 4) + -3 + -5.\nAnswer: -1702 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 633 + -2053. Is j\/(-28) + (-2)\/(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.007 + -0.00700073. What is b rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/2118500 and -99\/290.\nAnswer: 61436500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -711*d**2 - 5 + 646*d**2 - 5 - 75*d = 0?\nAnswer: -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-3 + (-15)\/2))*-2. Let x(t) = 2*t**2 + 53*t - 46. What is the remainder when x(v) is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 21. Let y = 7476 - 7466. What is n(y)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2686522mg in kilograms?\nAnswer: 0.0000002686522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 - -405. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596127269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 11. Let s be -2*(-4 - (-3)\/g). Suppose 2*l = s*o + 39, 2*l + 2*o + 47 = 121. What is the highest common factor of 80 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-2*l + 4*l - l + (-4 - 3 + 6)*(2*l - 1 + 1)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-560)\/(-70))\/(3\/48). Calculate the greatest common factor of 512 and r.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -n - 4 - 2, -3*n = 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 98, 75, -220, -925, -2178, -4117?\n\"Answer: -23*j**3 + 2*j**2 + 132*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c02098 - 2?\nAnswer: -8c0209a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*g - 25*g - 17*g)*(-g**2 + g**2 - g**2).\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110700070 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/33 - (-650)\/6. Suppose 7*h - 4*h = 36. Calculate the highest common divisor of h and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g - 489*g**4 + g**2 - 23*g - 5*g + 8*g**2 - 587*g**4 wrt g.\nAnswer: -25824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 18*r + 33. Let p(o) = -o**2 - 276*o + 6874. Let x be p(23). Calculate h(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2 - 4. Let d = i - -8. Factor -1\/2 - 1\/2*b**d - b.\nAnswer: -(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l. Let w(q) = 200*q. Let j(d) = -32*m(d) + 3*w(d). Let h(o) = 4*o**2. What is h(j(v))?\nAnswer: 2304*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -3 + 2 + -2. Solve 0 = -4*m + 5*n + 19 + 2, 28 = -3*m - d*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 + 4*l - 20. Let h be b(-6). Let s(k) = k**2 + 8*k + 5. What is s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:44 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*s = -3*t + 77*s + 45, -5*t = -3*s - 3. Factor 1\/3*l**t + 0 + 2\/3*l - l**2.\nAnswer: l*(l - 2)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:35 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3527 divided by 886\nAnswer: 3527\/886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -77. Find the second derivative of 0*l**4 - w*l + l**4 + 16 - 10 - 7 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let s = -1.128 + 0.108. Let b = k + s. What is b rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 - (-9)\/3. Suppose d*x - 253 = 5*b, -4*b + 2*b - 6 = 0. What is the highest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3))**(-28\/9))**(1\/30))**(3\/2) assuming q is positive.\nAnswer: q**(-14\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(16\/5)*h**(-9)*h assuming h is positive.\nAnswer: h**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3009 - 448*w + 3043 + 407*w - 479*w)*(-5*w + 2*w + 2*w)*(3*w + w - 2*w).\nAnswer: 1040*w**3 - 68*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/62)\/((0 - 4)\/72)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 71, 70, 69, 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -30697, -30689, -30667, -30625, -30557, -30457?\n\"Answer: f**3 + f**2 - 2*f - 30697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**8\/6720 - h**7\/240 + h**6\/20 - 7*h**5\/60 + 22*h**2 - 2. Let n(c) be the third derivative of s(c). Factor n(g).\nAnswer: 3*(g - 4)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2. Let o(h) be the first derivative of 0*h**4 + 1\/12*h**5 + 0*h**3 + 5 + 0*h - h**2. Let c(k) be the second derivative of o(k). What is c(q(z))?\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8.3 + -191649799.5\nAnswer: -191649807.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -3*z**4\/4 + 4*z**3\/3 + 2*z**2 + 4*z + 205. Let j(p) = p**3 - p**2 - p - 1. Calculate 3*i(d) + 12*j(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -1 - 5\/2*m**2 - 1\/4*m**4 + 2*m**3 + 7*m. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*q - 4 = c - 736*q, -4*q = 4*c + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**1\/l)*l*l*l**(2\/11)*l*l)\/(l**1)**(-26) assuming l is positive.\nAnswer: l**(332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -38\/21, -1, 5, -4, -0.2, 134?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 227. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -15 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 12 = -3*p. Suppose p = 2*c - 2. Suppose 0 = r - 5*m - 6, 2*r - 4*m - 3 = 3. Let d(n) = 4*n - 1. Let t(h) = -h + 1. What is c*t(x) + r*d(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -19 in descending order.\nAnswer: 1, 0, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(75) + 1))**2 + -3 + sqrt(48)*-5.\nAnswer: 140*sqrt(3) + 1213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = -6 + 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 19\/163?\nAnswer: 19\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1851 and 238714215.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6996*t + 7011*t = 90. Solve 2*y + p - 1 + t = 0, 5*y = 3*p - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 39 and -1012.59.\nAnswer: -973.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1183 and -1.06313?\nAnswer: -1257.68279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*300675\/8018?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209925 divided by -225?\nAnswer: -933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1526, -3052, -4578, -6104, -7630?\nAnswer: -9156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.013682 tonnes to micrograms.\nAnswer: 3013682000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**6\/360 + 19*g**5\/120 + g**4\/3 + 8*g**3 - 44. Let t(z) be the third derivative of b(z). List the prime factors of t(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/1193 + -1177\/9544. What is the nearest to 1\/3 in v, 8, -9, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -98. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 0. Let n be (f\/(3 - 5))\/(1 - 3). Suppose -3*s - 6*s + 648 = n. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53 and 8?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/23, 8, 3, 0.117, 2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 557\/5087?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17032\/9 or -30?\nAnswer: 17032\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = -3*t, -t - 12 = -h - 4*t. Suppose 5*r - 1 = -2*i, 3*i - 14 = -2*i - r. Find the second derivative of h - l - i + l**2 wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.6, -2\/9, -0.01, 1.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 298.\nAnswer: 21\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -65*u**4\/24 - 257*u**3\/6 + 103*u**2. Let r be a(-4). Solve 8 = -4*o, -r*b - 6 = -2*b + 4*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0 + 19*y + 1\/6*y**3 - 3\/2*y**2 + 3\/16*y**4 - 1\/120*y**6 + 0*y**5. Factor z(w).\nAnswer: -(w - 3)*(w - 1)*(w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 + 18*g**2 - 8*g - 15. Determine r(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44*20\/4400*(-3)\/21*20\/6.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1200527 + -707110. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 22*b**2 - 46*b - 40. List the prime factors of s(4).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -3*m + 103. What is the smallest value in -0.4, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 197517007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(20)\/sqrt(36)) - (sqrt(324)\/sqrt(108))**2.\nAnswer: -3 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 693 (b) -2\/11 (c) 5 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let p(d) = -d**3 - 9*d**2 - 18*d + 4. Let w be p(-4). Sort w, 2\/3, n in decreasing order.\nAnswer: 2\/3, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**3\/6 + 7*r**2 - 21*r. Let t be a(10). Suppose 2*y + 0 + 2 = -4*v, -7 = -t*v - 5*y. Are -3 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1019.3080419 + 0\nAnswer: 1019.3080419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3, -29, 12, 7, 1, 0 in decreasing order.\nAnswer: 18, 12, 7, 1, 0, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/5 - 0)*(-392160)\/1548. Solve -35*q + z = 22*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6077999\/84 + 72358. Calculate the common denominator of 37\/126 and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596120 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: b\"What is the tth term of -66, -38, -10, 18, 46, 74?\n\"Answer: 28*t - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -1, 2*j - 4*h = -j + 13. Solve -j*d + 4 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45680083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2575 + 3391. Calculate the remainder when g is divided by 73.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 + 4*m - 9. What is the remainder when 3\/(-2) - (-219)\/6 is divided by x(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*l - 330. Let z be (-118)\/(-80) + 22\/l. Are z and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i*i**(3\/14))**(15\/8))**(-24))**(-1\/19))**(-38) assuming i is positive.\nAnswer: i**(-1395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -3*r**2\/2 - 6*r + 3. Let a be s(-3). Solve 4*q - 8 = 2*v, 2*v - a*q + 8 = -q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5930 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s - 10*s + 8946*s**2 - 8605*s**2.\nAnswer: 341*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*((-20)\/(-6))\/(292\/219)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-105)*10*(-5)\/20\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-5)\/(-7 + 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -9*l**5\/10 - l**4\/12 + l**2\/2 - 2*l. Let h be d(-1). Let g = 0 + h. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277*i**5 - 88*i**3*p - 1109*i*p - i - 5*p wrt i?\nAnswer: 5540*i**3 - 528*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t. Let d(i) = -25*i**2 - 3*i - 1. Let b(h) = 34*h**2 + 3*h + 1. Let m(w) = 4*b(w) + 5*d(w). Give m(s) + 3*x(s).\nAnswer: 11*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -85441 and -85447 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {n: 1, p: 1, j: 2, d: 3, b: 3, a: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1556, 3387, 5540, 8021, 10836?\n\"Answer: w**3 + 155*w**2 + 1359*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 14*f - 12. Let x be m(15). What is the second derivative of 28*a - 47*a**4 - 179*a**4 + 15*a**3 - 20*a**3 + 5*a**x wrt a?\nAnswer: -2712*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1550183, -3100385, -4650601, -6200831, -7751075?\nAnswer: -9301333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 5436677460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 836 - 828. Solve h*n + 15 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4730*s - 4735*s + d = -6, -22 = -s - 5*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50834489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 45*l - 27*l. What is the fourth smallest value in l, -65, -0.5, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 + s - 591\/4*s**2 + 1\/4*s**4 + 97\/2*s**3 = 0. Calculate s.\nAnswer: -197, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from jbvvvvjby.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c = 800627 - 800038 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-1)*4\/(-30)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -75, 3 in increasing order.\nAnswer: -75, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 102522715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674686.\nAnswer: 2, 337343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 10. Let z be c(10). Suppose 10 = -5*x + z. Let v = -2 + x. Solve -5*s = -5*k + 10, k + 4*s - 7*s = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, w: 1, x: 11}. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let c be 15\/25 - (-4)\/10. Suppose 5 = -2*g + 3*l, -l - u - c = -3*g. Solve -g*d + 4*d + 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11897842.\nAnswer: 2, 11, 43, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-19 - 1)*(-132)\/264?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 - -269. What is the nearest to 6 in -5, 3\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d + 51*d - 2*m + 4 = 0, 5*d = -m + 2. Solve d = 7*c - 12*c + 4*q - 14, -c + 2 = 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5 - (-623 - -577)) + -14\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 83. Let z = -419.5 - -421.2. Let g = -42 + 125\/3. What is the fourth biggest value in g, z, 2, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64307.91 milliseconds in seconds?\nAnswer: 64.30791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 191892800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3592, -7416, -11256, -15118, -19008, -22932, -26896, -30906?\n\"Answer: -f**3 - 2*f**2 - 3811*f + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 107791, 107437, 107083, 106729?\n\"Answer: -354*k + 108145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0531 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/160 + g**4\/64 + 5*g**3\/4 + 2*g**2 - 20. Let l(t) = 0. Calculate t.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818111.\nAnswer: 3, 606037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/51*6\/(-56)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24345 (base 8) to base 3\nAnswer: 112100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 127, -1, 5 in increasing order.\nAnswer: -1, 5, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/70*-35)\/(1\/22). Calculate the highest common factor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/8 + 255*u**3\/2 - 82365*u**2\/8 + 415545*u\/2 + 218196 = 0. What is u?\nAnswer: -1, 33, 76, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -14 - (9 + -6 + 3 + -36)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1622271 * -389.\nAnswer: -631063419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 105*n**2 - 8*n + 6. Let k(s) = -423*s**2 + 30*s - 27. Give -2*k(f) - 9*m(f).\nAnswer: -99*f**2 + 12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 1220322?\nAnswer: -1220232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147 - 151. Let z be ((-2)\/6)\/(v\/(9 - -15)). Solve -3*m + 10 = -0*t + 4*t, -20 = z*m - 4*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/1)*10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 2*m - 137*m**2 + 94*m**2 + 0*m.\nAnswer: -43*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150633983257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2*z - 7*z)*(-47 + 101 - 66) + 5*z - z - 3*z.\nAnswer: 37*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007102 to 4 dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -671 + 700. Suppose 109 = -4*t + 2*v + h, -4 = -2*v. Does -25 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(33) + sqrt(132)\/sqrt(4))\/sqrt(3) + (sqrt(99) - ((sqrt(99) - sqrt(99)*2) + sqrt(99)))\/sqrt(9))**2 - -6*sqrt(66)\/(-1*sqrt(6))).\nAnswer: -99 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9845, 19676, 29487, 39266, 49001, 58680, 68291?\nAnswer: 77822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0171204 rounded to 5 dps?\nAnswer: 0.01712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -18. Suppose -n = 4*y + 7, -i = 5*y - n - 1. Let c(o) = -o**3 + 2*o**2 + 2*o + 1. Determine c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 1579 in decreasing order.\nAnswer: 1579, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530935143 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 6 - 14 + 37*h**2 to d*h**2 + g + c*h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11289 + -11285. Suppose -2*p + p = 0. Solve p*z - 4*z = -o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, r: 4, l: 2, s: 1, o: 6}. Give prob of sequence or.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7414, 59341, 200284, 474751, 927250, 1602289, 2544376?\n\"Answer: 7418*y**3 + y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 819921.2 centimeters?\nAnswer: 8199212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108755 is divided by 90?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 648763, 1297742, 1946721, 2595700, 3244679, 3893658?\n\"Answer: 648979*u - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1088, -3908, -8620, -15230, -23744, -34168, -46508, -60770?\nAnswer: -76960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -37*x - 188. Let d be l(-5). Put -9, d, 1 in increasing order.\nAnswer: -9, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1743.2438 + -0.07.\nAnswer: -1743.3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 2*c - 3*c + (4*c + 2*c + 9 - 7*c)*(-3 - 3 + 5)*(-1 + 3 + 0) to the form n*c + y and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*t + 9. Let m(i) = i**3 - 7*i**2 - 3*i + 1. Let u(q) = q**3 - 7*q**2 - 2*q + 1. Let a(b) = t*u(b) + 4*m(b). Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/3, 2\/13, -6, -20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 5*y**2 + 6*y**2 + (-3*y + 0*y + y)*(4*y + 6 - 6) - 10*y**2 - 8*y**2 + 12 + 20*y**2 to the form q + h*y**2 + u*y and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26530 - -26528. Put 5, 4, y, -1, -52 in descending order.\nAnswer: 5, 4, -1, y, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7543\/4 - 1885. Sort -1, 26, j in increasing order.\nAnswer: -1, j, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 17*j**2 + 16*j + 13. Calculate the remainder when 49 is divided by q(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 208 = -5*a - 4*s, 5*a = s + 290. Let c(w) = w**2 + w - 1. Let k be c(2). Suppose -15 = -h - f, k*h - a = f - 0*f. 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: Evaluate (10\/20)\/((-1)\/2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/30 - 2186578\/(-180). Let f = t + -12152. Calculate the common denominator of -27\/20 and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8129594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 1629 = 2787. Suppose 9*b + m = 32*b. What is the smallest common multiple of 12 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49194*y = -49246*y - 1248 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -246*b - 489. Determine t(-4).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02387 + -2886820.\nAnswer: -2886819.97613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -10*c**5 + 205*c**4 - 1455*c**3 + 3955*c**2 - 2695*c = 0.\nAnswer: 0, 1, 11\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2. Let a(p) be the third derivative of 3*p**2 - 1\/30*p**5 + 0 + 0*p**3 + 0*p + 0*p**4. Determine a(q(z)).\nAnswer: -128*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 3*w - 26. Let m be i(4). Solve j - 1 = -m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/3 and 11\/419810?\nAnswer: 1259430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 1 + 13. Let p = 17\/3 + d. Let r = 2\/75 + -83\/300. Which is the second smallest value? (a) p (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473685.\nAnswer: 3, 5, 23, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1705, 1, 3\/4921?\nAnswer: -1\/1705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -52, 0, 6, 5, 3 in descending order.\nAnswer: 31, 6, 5, 3, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -13*g - 104. Let d be k(-11). Suppose -d = -67*v + 64*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -173.\nAnswer: 57\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.3. Let m = 2.3 + o. Which is the biggest value? (a) -2 (b) 7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*(-30)\/(-9). Let z = -11.4 + 11.5. What is the second smallest value in z, n, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 869*t**2 - 30*t + 74 + 79 - 215 + 65 wrt t.\nAnswer: 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15764ab (base 12) to base 10.\nAnswer: 4386371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-6))\/(70\/(-1718)*12). Let g = b + 361\/70. What is the common denominator of -19 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3735845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w - 227 = 0, 2*c + 0*w - 4*w = 96. Suppose -74*o + 7196 = -c*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404.451 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 322899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 178 = -2*h, -3*h + h = 2*u - 182. Does 31 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**4 - 18*m**3 - 387*m**2 - 438*m + 2520 = 0.\nAnswer: -7, -4, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5\/2, 3, 0.185, 0.1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {s: 1, x: 1, v: 2, l: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y. Let k(b) = -3*b - 6. Let l(a) be the first derivative of a + 2. Let g(s) = -k(s) - 6*l(s). Calculate g(v(c)).\nAnswer: 36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15 = -4*b, -50*i + 45*i + 80 = -17*b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-66))\/(10*25\/(-2750))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*l + 28*l - 2205 = 0. Let s(c) = -c**3 + 16*c**2 - 12*c - 17. What is s(l)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 - 2*i + 9. Let n(c) = -8*c**2 - c + 57. Let g(k) = 9*k**2 + k - 69. Let q(m) = -4*g(m) - 5*n(m). What is 3*p(s) + 4*q(s)?\nAnswer: s**2 - 2*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0.11. Let q = -0.12 - j. Let c = q + 0.29. What is the second smallest value in 4, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27\/187 - 7189\/1870. What is the common denominator of 61\/14 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 229 - 224. Does 5 divide (-168)\/s*(-9 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*t - 215 = 245, 5*d + 5*t = -445. Let o = -278\/3 - d. Determine j so that 8\/3*j**3 + o + 6*j + 8*j**2 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -158*j + 2681. Determine w(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43616 by 8.\nAnswer: -5452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4172 and 2430041?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1801 - -1807. Solve -w + 10*w = v*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -2*k + 6*p + 25, -14 = -2*p. Which is the third smallest value? (a) 2\/9 (b) -4\/7 (c) k (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.044784166?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0121, 0, -0.5, 7, 3, 2?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in years?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89901649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1975 - 14.4275. Let g = h - -0.83. Let l = -13 - g. What is the second smallest value in l, -2\/7, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 18*s = 5*r + 3, -2*r + 4*s + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -3.076082.\nAnswer: 12.304328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 15*u + 61. Let r be o(7). Suppose r*g + 20 = 5*m, -4*m - 2*g + 16 = g. Solve h = -2*p + 3, -4*h + 5 = -h + m*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.322 + -13.578. Let l = -24 - -41. Let x = l + k. Round x to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424451 (base 7) to base 10\nAnswer: 73634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10235, -2\/3, 0, 0.5, 5, -0.4.\nAnswer: -10235, -2\/3, -0.4, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 5515*x**2 - 300406*x + 578760.\nAnswer: -(x - 5460)*(x - 53)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v + 1326 + 4750. Factor -419*l**3 - 12*l**2 + v*l**3 + 21 + 7*l - 6*l**2 + 199*l**3 + 17*l - 3*l**4.\nAnswer: -3*(l - 1)*(l + 1)**2*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 + 1046 + (-99 + 1 - -4)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 2*n**2 + 4*n + 1. Let w be (-1 + 6)*(-26 + 27). Suppose -w*c + 75 = -35. What is the remainder when i(3) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 1694*r = -279*r + 39956 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*v**2\/5 + 99*v\/5 - 162\/5.\nAnswer: 3*(v + 3)*(17*v - 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4 - 1)\/((-23)\/355488*-16)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 1.6. Is v equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 331\/1066522 or -1?\nAnswer: 331\/1066522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t. Let p be v(0). Let w be -12 + (-12)\/2 + 30. Solve p = -3*j + w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvpuipwiuwxwpw. What is prob of picking 2 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13201023 - -3?\nAnswer: 13201032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 3. Let v be l(6). Let f(t) = 4 + 0 + t**v - 11 + 0. Calculate f(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**3*z - 5*s*z + 83*z wrt s.\nAnswer: -12*s**2*z - 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10087243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**4 + 489*x**3 + 1485*x**2 + 1491*x + 498 = 0. What is x?\nAnswer: -1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20205674 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -1, 0.4, 2\/7, 1 in decreasing order.\nAnswer: 1, 0.4, 2\/7, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*y + 12, -4*o = -0*y - 2*y - 16. Let m(i) = 4*i**3 + 3*i**2 - 7*i + 3. Let p(j) = j**3 + j**2 - 2*j + 1. What is o*m(w) - 14*p(w)?\nAnswer: 2*w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from dxtjjtn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189489432623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 - 1900*w**2 - 37585*w + 39490.\nAnswer: -5*(w - 1)*(w + 22)*(w + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4 + 7*x**4 + 3*x**4 + 3*x**2 + x**2 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 817060.6ug?\nAnswer: 0.8170606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -h + 11, 2*h + 3 = -f + 15. Suppose 4*t = 3*u + 2, 0 = -t - f*t + 6. Which is the second biggest value? (a) -1 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 228703?\nAnswer: 228707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 2 s when four letters picked without replacement from {s: 2, n: 4, o: 2, f: 3, y: 2}.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 674914 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19051890 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 4. Let b = 3902 - 70205\/18. Find the common denominator of (31\/(-18) + -1)\/y and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1675000 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = z, v - 2*z = -5 + 6. Let u(b) be the second derivative of 6*b**2 + 2\/3*b**4 + 0 + 0*b**v - 3*b. Find the first derivative of u(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7394029 is divided by 235?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 9*l**2 - 11*l + 8. What is the least common multiple of 16 and i(-10)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -14, -53, -5 in increasing order.\nAnswer: -53, -17, -14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -515*q - 5*q**4 - 210 - 165*q**2 - 18*q**2 + 100*q + 109*q**2 - 191*q**2 - 65*q**3 = 0. Calculate q.\nAnswer: -7, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 368 = 2*z + 345, z = -3*q + 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 16 = 2*w. Suppose s = -w*m + 11, 0 = -4*m + 4*s + 17 - 1. Let d = -1 + -4. Put m, d, -1\/2 in increasing order.\nAnswer: d, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + -18 + 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = 5*a + 1, 2*d = -a. Let j(u) = 10*u**2 + 3*u - 2. Does 9 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4862778 (base 12) to base 11.\nAnswer: 7a36189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/3 (b) -2\/15 (c) -4\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 464 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8826*q**3 - q + 1. Let z be b(1). Let w = -1174 - z. Round w to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 = -4. Let y be (-2 - 0) + 62\/51. Let m = 2\/17 + y. Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15593 - 4095 + 86 = -198*j for j.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 2, g: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(-10) + 2\/(-1). Let y be (-2)\/(-7) + (-52)\/(-14). Suppose w = y*q - 48. Calculate the remainder when 23 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bh when two letters picked without replacement from ibbbhbbbbiibbbb.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-33)\/(-6) - (3 + 13)\/(-4). Is z smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -224*p + 224*p - 13*p**2. Let o(v) = -5*v**2 - 2*v + 2. Let n(s) = -6*s**2 - 3*s + 3. Let r(c) = -2*n(c) + 3*o(c). What is r(x(z))?\nAnswer: -507*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b - 2. What is the units digit of (-2)\/(4 - b) - -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*g**6 + 86*g**2.\nAnswer: -21840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 1138104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 147504?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72\/19, 2\/3, -3 in descending order.\nAnswer: 2\/3, -3, -72\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 7*c**2 - c + 8. Is z(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312.120618 rounded to zero dps?\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000170692506 to seven decimal places.\nAnswer: 0.0000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmppppiptpipcpt. Give prob of sequence mmc.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuti when four letters picked without replacement from aiaiiualuuiti?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 5. Let m be t(-8). What is the units digit of (-2)\/(2\/m)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d. Let v be s(5). Let l = 11 - 8. Suppose v = -l*a, 4*h + a = -a + 46. Calculate the highest common divisor of h and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/13 (b) -10 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4\/3 - 965*j**3\/3 + 9095*j**2\/3 + 3355*j = 0.\nAnswer: -1, 0, 11, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3313 (base 4) to base 2\nAnswer: -11110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3767858 divided by 74\nAnswer: -50917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21436 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 20*j - 27. Let m be g(8). Solve -m = 9*x + 31 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1143589*o**4*w + 3*o**3*w + 1094628*w with respect to o.\nAnswer: -4574356*o**3*w + 9*o**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -12. Let 6*k + 4*k**3 - 3*k - 6*k**3 - k**h = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48\/11? (a) 3 (b) -67 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**4*z - 13128477*c**4 - 2*c**2*z + 1854421*c**2 - 3*c*z + 2*c - 5*z wrt c.\nAnswer: 48*c*z - 315083448*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 21\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-823*h**2 - 385*h**4 + 823*h**2)*(-2*h + 0 + 0 + 0 + 0 - 2*h + (h + 1 - 1)*(-4 + 0 + 2) - h + 0*h - h).\nAnswer: 3080*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 28*m - 4. Let n be w(4). Let q = -1\/1329 - -65126\/6645. Calculate the common denominator of q and (-591)\/n - (-4)\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 11*g - 6. Let x be j(-9). Let t = x + 46. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275330.9 rounded to the nearest ten thousand?\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -45. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 4)\/(-7 - -8). Suppose 2*g - 10 = 2*q, q - 21 = -y*g + 2*q. Solve -10 = -g*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205884 by -17157.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**7\/840 - h**6\/60 + h**5\/120 + 7*h**4\/24 + h**3\/3 + 4*h. Let r(v) be the second derivative of z(v). Determine r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*d**3 + 75*d**3 + 67*d**3 + d**2 + 3*d in the form g*d**2 + h*d + p*d**3 + y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1282470897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhhhhzhhhzhhh. What is prob of sequence zh?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73\/5 of a centimeter?\nAnswer: 146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m + 9. Let a be (-4)\/(-99) + 2\/m. Let j = 1528 + -1532. Sort a, j, -0.1.\nAnswer: j, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/10)*j**(3\/22) assuming j is positive.\nAnswer: j**(46\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/3 - 20\/(-3). Suppose 3*k + 5 = -1. Let n be 5 + 0\/1 + k. Solve 4*m = -t, -6*t + m = -g*t - n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - (-5)\/15. Let k be (8\/6)\/((-4)\/(-6)). Let r be (d + -8)*k\/(-4). Solve v = r*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2299\/7 + -6899\/21. Find the common denominator of i and -65\/6314.\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193970 divided by -1630?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -7*d**2 - 5*d + 3. Let f(l) = -l**3 + 8*l**2 - 4*l - 16. Let s be f(7). Let g(j) = -11*j - s*j**2 - 10*j**2 + 10 - 3. What is 6*g(r) - 13*h(r)?\nAnswer: r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.613749 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, h: 5}. Give prob of picking 2 g.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/9)*o**(-15))\/(o**(-2\/9)*o*o*o)**(-33\/2) assuming o is positive.\nAnswer: o**(551\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 234 + 69. Suppose q - t = 14. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 69?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -506\/9 - -56. Let w = -3.04 + 0.04. Let j = w + -1. Which is the second biggest value? (a) -0.1 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1168 at least as big as 9716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -223.81 - -217.81. Let i be ((-10)\/25)\/((-526)\/(-10)). Let w = i - -279\/2104. What is the third smallest value in w, t, -1\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -654 - -660. Suppose -x - 2 = 3*a - 10, 2*a + 2*x = 4. Let v be 2\/a*(1 - -8). Is g less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2573.794 millennia to decades.\nAnswer: 257379.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 2*f - 1. Let p(g) = g**3 + g**2 + 2*g - 1. What is h(n) - p(n)?\nAnswer: -n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -269.9373 - -1345.12.\nAnswer: 1075.1827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 5*g - 12, 3*g = 12. Suppose -5*u = 4*v + 4, x = -2*v + 5*u - 2. Is v < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.185 + -0.045. Let l = v - 0.64. Put -0.2, -3, l, 2 in descending order.\nAnswer: 2, -0.2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3317?\nAnswer: 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.63379 to two dps.\nAnswer: 69.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 392859798 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.4 (b) 0 (c) 9 (d) 125\/3 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 1460*i - 2912.\nAnswer: -2*(i - 728)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75 - 410311?\nAnswer: -410225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 + 190. Suppose -3*b - 4*a + 130 = 0, -b + 18 + 25 = a. What is the remainder when b is divided by y\/5 + 24\/(-40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 59 - 355 + 126 = 0 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190031.5 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 88*c + 239. Let w(y) = -29*y - 83. Determine 2*n(s) + 7*w(s).\nAnswer: -27*s - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:37 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/11 - 3766*h\/11 + 22440 = 0 for h.\nAnswer: 68, 1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -39*y**2 + 21*y**2 + 250*y**2 + 20*y**2 + y. What is the remainder when x(-1) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1954 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 2 + 25 - 5*t + 2*t.\nAnswer: -t + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.2972 millilitres in litres?\nAnswer: 0.1722972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(2904) + sqrt(24))\/(sqrt(2016)\/sqrt(7)).\nAnswer: -3 + 17*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2621 - -0.0379. What is the nearest to -1\/3 in 1, j, 4, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 26 - 1. What is the second derivative of 3*y**5 + y**5 + 3*y**p + y + y wrt y?\nAnswer: 140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 7805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*o = -0*i - 43, 0 = -i - o + 19. Suppose -48 = 8*v - i*v. Solve -4*t = x - 2*x + 5, 3*x - 7 = v*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1477*n**4 - 11603*n**3 - 4*n**2 - 2*n - 21881580?\nAnswer: -35448*n - 69618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 2*k - 3. Let j be b(2). Let u(x) = 3*x**2 + x - 2. Let g be u(j). What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5695, 17.1, 0.3?\nAnswer: -5695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*z + 15 = 0, -5*p - 25 = 3*z + 2*z. Suppose p*m = 2*m. Let -1\/4*y**3 + m*y**2 + 0 + 0*y**4 + 1\/4*y**5 + 0*y = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 6*h + 2*h)*(-6 + 2 + 2) + 0*h + 0*h + 3*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 5. Let s be ((-8)\/(-24))\/(2\/438). Let b(m) = 71*m - 1 + n - s*m. Let a(c) = 6*c. Calculate a(b(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -2\/17 (c) -9\/49 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29262 and 39016.\nAnswer: 117048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 5*u + 3 = 0. Suppose 2*a - u*a = 0. Solve 2*k = -a*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*n + 102*n + 18*n)*(5*n - 2*n - 2*n) to b*n + f + v*n**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*h**5 + h**4 - h**2 + 5.\nAnswer: 4740*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1061 - 590. Let s = -281 + p. List the prime factors of s.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -53. Suppose 52 = -5*s + c, -t*c + 32 = -3*s - 2. Let y be (4 - 1)\/((-2)\/s). Solve 2*g - y = 5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*j = -23 - 15, -5*n + 3*j + 53 = 0. Let m(p) be the third derivative of p**4\/24 - 7*p**3\/6 + p**2. Let v be m(n). Are v and 3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - -1) + -13 + 14 + (-1)\/(-880) and -51\/640.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -3, 623, -0.11, 2\/21 in decreasing order.\nAnswer: 623, 5, 1, 2\/21, -0.11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29461558?\nAnswer: 2, 7, 2104397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11752 by -4.\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(54)*-1 - sqrt(54))*1)\/(sqrt(576) + -1*sqrt(576) - sqrt(576) - sqrt(576)))\/((sqrt(24) - sqrt(1536))\/sqrt(12) + 1*sqrt(162)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100632*b**2*j**3 + 1995*b**2*j**2 - b**2*j - 10*b**2 + j**2 wrt j?\nAnswer: -603792*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 - 24 = 0. Let w be 1*0\/2 + 4. Suppose w*t + 5*s - 328 = 0, 0 = -t - 7*s + 3*s + 93. What is the greatest common factor of t and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g - 2*g - g. Let d(l) = -7*l - 10*l - 4*l + 80*l - 56*l + 1. What is 2*d(a) + 9*h(a)?\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -13\/4 (c) -6\/7 (d) -0.02 (e) -6 (f) -4\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246*o**4 + 364*o**2 + 205*o**2 - 592*o**2 + 398*o**2 wrt o.\nAnswer: 5904*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13747759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 - 33*v**3 + 280*v**3 + 99*v**3.\nAnswer: 367*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2634 by 878.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.1 (c) 3\/4 (d) 1 (e) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 138935861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1140 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**2 + c - 1. Let r(g) = -6*g**3 + 42*g**2 + 4*g - 18. Give 4*h(w) - r(w).\nAnswer: 2*w**3 - 34*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*x = 355, 31 = -4*j - x + 476. Suppose 4*d + 1184 = 5*p, 3*p - 630 - j = -5*d. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + 28*b**2 + b**2 + 11*b**2 as x*b**2 + d*b + m and give x.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -65, -2, 2\/79, -2\/4107?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17852000 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**5\/60 + 5*b**3\/6 + 3*b**2\/2 + 1. Let t(g) be the second derivative of j(g). Differentiate t(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28314651, 28314639, 28314619, 28314591?\nAnswer: 28314555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -11. Suppose -j + 3*j = -5*v + 3485, t*j - 689 = -v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48 - -969)*(-865)\/(-45).\nAnswer: 113, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3010\/3 + -968. Let i = m - 36. Which is the closest to 1? (a) i (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6383611151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let r = -5 + 4. Let a = 5 - r. Solve -5*g - 4*s + a = 0, g - s + k = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 11*r - 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3*(-1 + sqrt(320) + -5)**2*6 - (1 + ((sqrt(320) - (0 + sqrt(320)*3)) + 3)**2)).\nAnswer: -7702 + 1824*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92268466 and 2036?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-177)\/6)\/(1\/4). Let k be (8\/10)\/(6 + y\/20). Suppose -k*r + r = -112. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/32 and 59\/700.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 23. Suppose -f*d - 8115376 = -1295376. Round d to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 5*f**4\/24 - 7*f**2 - 1. Let k(o) = -20*o**2. Give p(k(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 - 2*x - 3. Let d(m) = -m + 16. Let a be d(21). Let g be l(a). Suppose g*b = -b + 1144. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 58 = -3*n + 88, 3*w - 3*n = 54. Suppose -2*k = -0*k - 196. Calculate the highest common divisor of k and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5630889541?\nAnswer: 5630889541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 101*o + 94. Give l(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 11:06 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -932428 + 1562495. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 - 1. Let m(i) = 2*i**3 - i**2 + 2*i - 1. Let b be -2*(50\/(-4) + 14\/(-7)). Let k = 28 - b. Determine k*o(w) - m(w).\nAnswer: -w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/12 and 61\/5900?\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxv when four letters picked without replacement from pxppxvpxxv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in -0.2, 0.3, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*m**2 - 26*m - 98*m**2 - 75 + 5 + 50*m**2 wrt m?\nAnswer: -2*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43305020 + 3?\nAnswer: 43305023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c. Let m be x(2). Let g = 11 - m. Solve -r + 0 = -g, -d - 14 = -3*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**3 + 606*l**2 + 3*l - 606 = 0.\nAnswer: -1, 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610*y**3 - 1877*y**3 + 426*y**3 + 434*y**3 + 405*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.2 (b) 1.2 (c) -5 (d) -4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -23196 > -23196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 2161*f**2 - 2*f**3 - 2161*f**2 - 18*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -840347 divided by 7\nAnswer: -840347\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -5. Let k(o) = -o**2 + 6*o + 3. Let v be k(6). Suppose w - v = -2*w. What is the highest common factor of a and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 212295?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -25, -5*f + 3 = -a + 30. Suppose -a*r - 2*r + 32 = -3*c, 2*c = -r - 3. Let y be (c\/(-2))\/(-3 - -1). Put 4, -5, y in ascending order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 3}. Give prob of picking 2 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19874, 19878, 19870, 19838, 19770, 19654, 19478?\nAnswer: 19230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**20*v)\/v)\/v**(3\/4)*(v**(1\/3)\/v)\/v**20)**(1\/21) assuming v is positive.\nAnswer: v**(-17\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let p(z) be the second derivative of z**4\/2 - 5*z. Determine p(y(k)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eel. What is prob of sequence el?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 9:35 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(3\/5)*f*f*f*f**(-5))\/(f*f**1*f*f*f*f\/(f**(-1\/9)\/f)))**(-49))**10 assuming f is positive.\nAnswer: f**(37534\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4 = l - 5*s, 2*l + s = 8. Let g(f) = f**3 + 2*f**3 + 4*f**3 - 6*f - 6*f**3 - 5 + l*f**2. Let h be g(-5). Solve h = -6*c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.8 + -44.385. Let w = 0.2358 - v. Round w to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (17 - 18) + -7\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8*(64 - -4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 - -2 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.41. Let f = 0.51 + v. Which is the closest to 1? (a) f (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2. Let x(r) = -r**3 + r**2 - 1. Let v be x(-1). Let d(t) = -28*t**2 - 35*t. Let s(n) = n**2 + n. Let b(g) = v*d(g) + 35*s(g). Give b(m(f)).\nAnswer: 7*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 777, 1164, 1551, 1938, 2325?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159705 and 523705.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5*z + 2*r**4 + 144*r**3*z**2 - 40*r**2*z + 3*r**2 - 12*z**2 wrt r?\nAnswer: 120*r**2*z + 48*r + 864*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5*-423.4106\nAnswer: -2117.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50005 or -409?\nAnswer: -50005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 496*w - 46. Let y(p) = 991*p - 107. Give 7*x(m) - 3*y(m).\nAnswer: 499*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12743 + -12721. Let i = 0 - 0. Suppose i = -d + 29 + 4. Calculate the greatest common divisor of m and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*b + 2751834 = -281*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(2040\/(-16)))\/(2\/10)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60000 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000221621 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3596 = 3*l - 143. Let h = -408 - l. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 1. Let c be i(-1). Suppose c*f - 5*k = 661, 4*f - f + 2*k - 647 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20314309 is divided by 1563.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65032644 (base 7) to base 3.\nAnswer: -101102100022200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*n + 1335, -57*n = -54*n - 9. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miw when three letters picked without replacement from {w: 11, i: 7, m: 2}?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*a + 5*a = -211869. What are the prime factors of a?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 26*i**2 + i + 14. Let q be h(-26). Let r be (-40)\/q*(-15)\/(-10). Solve -n - 4 = -2*n + v, -5*n = r*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - 7\/(21\/(-138)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13444669 and 4081?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 17 = -2*k + 10, -5*f + 30 = -5*k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(8\/48)*-22*(-12)\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from pkuvuuuk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 1. Let m be j(2). Let i = 0 + m. Suppose 0 = -i*s - 1950 + 4950. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1155799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**4 + u**3 - 1. Let j(t) = -5*t**3 - 7*t + 5. Let q(z) = -j(z) - 5*r(z). What is the second derivative of q(v) wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 68 = -5*x, 2*y + 0*y + 40*x + 40*x = 75*x + 52 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23106230 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -880, -2010, -3856, -6388, -9576, -13390, -17800?\nAnswer: -22776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*k - 94*k + 129*k + 139*k + 92*k.\nAnswer: 204*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190223 is divided by 510.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -b + 10. Let i = b + 5. Let r(a) = a**3 + 6*a**2 - 6*a - 1. Let y be r(i). What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10168479.\nAnswer: 3, 1129831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c**3 + 93*c**3 + 93*c**3 + 98*c**3 - 365*c**3 + 18.\nAnswer: 10*c**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 409248903, 818497806, 1227746709, 1636995612?\n\"Answer: 409248903*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.04 - -0.04. Let m = -12.9 - w. Which is the closest to m? (a) -0.4 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*b**3*u + 2*b**3 - b**2 - 3991303*b*u + 1070327*b + 2*u wrt u?\nAnswer: -6*b**3 - 3991303*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2 + 4 + 25*p - 4 - 22*p. What is r(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -2*o, -6*o + 3*o = -f. Let a(k) = 7*k - 11. Let p(w) = 271 - 7*w + 3*w - 265. Let q(j) = f*a(j) + 5*p(j). Give q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22220 > -20421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4477*z + 4485*z - 35048. What are the prime factors of z?\nAnswer: 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Expand 159*c - 159*c + 9*c**2 - 2*c**2 + 0*c**2 + 5*c**2 + (2 - 4 + 3)*(5*c**2 - 4*c**2 + 0*c**2) + (2*c**2 - 2 + 2)*(-4 + 0 + 3) + 0*c**2 + 2*c**2 - 3*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29694 and 27169.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432857677 to the power of 1\/3, to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/13 - 766*r**2\/13 + 3868*r\/13 - 4656\/13 = 0. Calculate r.\nAnswer: -388, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -514 - -513.9. Let o = -0.6 - 3.4. Let q = o + 3.5. Sort w, q, -1\/6 in decreasing order.\nAnswer: w, -1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 678310464 and 14848.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27 + 1 + 2 + -3. Let l be 26*2 - (-172 + 18)\/(-22). Calculate the highest common divisor of v and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*14 - 0\/(-7). Let x be (-5)\/10 + v\/(-4). Let s be 56\/(-26) + -1 + x. Which is the third smallest value? (a) 3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 5\/56*i**8 + 0*i**5 + 0*i**6 + 13\/24*i**4 + 38*i**2 + 0 + 0*i**3 + 0*i**7 + 0*i. What is the second derivative of m(z) wrt z?\nAnswer: 600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from nkagp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 5. Let j(x) = 8*x**2 - 3*x - 2*x**3 + x**3 + 2*x**3 - 1. Let u be j(h). Solve -2*b = -5*q - 23, 0 = -4*q + b - 4*b - u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen quarters of a meter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 5. Let z be u(-12). Suppose 15*p - z*p = 440. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-69)*(-3)\/4*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 158, 229, 302, 377, 454, 533?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 6*(sqrt(19) + -1)**2 + (1 + sqrt(684)*-3)**2.\nAnswer: -48*sqrt(19) + 6281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:05 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 1, i: 6, n: 7, q: 1, a: 2}. Give prob of picking 1 l and 1 n.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4831513*i - 4830936*i - 38082 = 0 for i.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.069492 to three decimal places.\nAnswer: -11.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 22*f**2 + 23*f**2 - 82*f**2 + 30*f**2 - 14*f to i + y*f**3 + a*f**2 + l*f and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/5 - (-4)\/(-10). Is 21 a factor of 6\/12 + (-166)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(2\/5))\/h*h)**(5\/6)\/(h**(-7)*(h\/(h*h**(-3))*h*h)\/h))**44 assuming h is positive.\nAnswer: h**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 932 - 37*i**2 - 466 + 9*i**3 + 4*i - 466.\nAnswer: i*(i - 4)*(9*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:41 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r**2 - 10*r**2 - r**2. Let z(t) = 5*t**2 - 44. Let l(a) = -12*a**2 + 99. Let f(i) = -8*l(i) - 18*z(i). Calculate d(f(k)).\nAnswer: -468*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2 + sqrt(112) + -2*sqrt(112) + sqrt(112))**2 + -1 + -1)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g + 28. Let f = g + 13. Is f <= -1\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 4*d + 27*d + 321 + d.\nAnswer: 39*d + 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37087)\/1*(7 + 80\/(-10)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -856528911\/5*h + 26059806\/5*h**2 - 301086\/5*h**3 + 1551\/5*h**4 - 3\/5*h**5 + 830768643\/5.\nAnswer: -3*(h - 129)**4*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(63))**2 + (sqrt(14)\/(sqrt(2)*2))**2.\nAnswer: 18*sqrt(7) + 295\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 7 + 3\/2*y**2 + 0*y. Let l(n) = 4*n**2. Give w(l(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddbu when four letters picked without replacement from {d: 5, b: 3, f: 3, x: 3, u: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5)*(4 - 1 - 1)*(23*d**2 + 87*d**2 - 35*d**2) to the form u*d + g*d**2 + o and give g.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6*o - 96 = 0. Suppose -5*u - 4*x = -3*x - 104, -112 = -5*u - 3*x. What is the lowest common multiple of 10\/5 + o\/1 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - -326. Suppose 276 = -4*n + t. Calculate the greatest common divisor of n and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o + 66*o - 123*o + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 - 370. What is the lowest common multiple of (6\/(-4))\/(9\/(-24)) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, 1 x, and 1 s when four letters picked without replacement from ilxtsig.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/303 and 17\/2121?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:20 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 14 (c) -5 (d) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*y = -162*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5751 divided by -9.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 648+-8\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -23*p**2 - 7*p - 5. Is c(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 0*l**3 + l**3)*(-2 + 3 - 3 + (3 + 2 - 4)*(-3 + 0 + 7))*(8*l + 185 - 185).\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -1, -0.5, 5, -0.1, 120, -2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 30. Let p = -41 - -26. Let l = p - m. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-160)\/(-25))\/(-20 - 264\/48)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -411*o**5 - 230*o**2 wrt o?\nAnswer: -24660*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 325 + -317 + (-1 - (-29 + 0 + 4))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 12 = 12*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4055461.57 rounded to the nearest one thousand?\nAnswer: -4055000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5 - 7521*j**4 - 179247*j**3 - 1169691*j**2 - 488730*j + 7210632 = 0 for j.\nAnswer: -2483, -11, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Suppose -7*l - l + 1576 = 0. Let d(g) = 485*g**2 - 216*g**2 - l*g**2. What is d(u(m))?\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23053414 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 114*j + 9. Let w(g) = 58*g + 5. Calculate -3*o(s) + 5*w(s).\nAnswer: -52*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*2*2 + -2 + -2 + -6*((1 + sqrt(1584) - sqrt(1584))*-3 - (sqrt(1584) - -6*(sqrt(1584) + -1) - sqrt(1584))))**2.\nAnswer: -21120*sqrt(11) + 2534884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 151*p + 46*p.\nAnswer: 191*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15331 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-324)\/(-45)*(-6)\/12*25\/(-105)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -7, 2, -48, -44\/7 in increasing order.\nAnswer: -48, -7, -44\/7, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3377 and 5.3.\nAnswer: -3371.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 + 11*w**2 - 3.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 1 = -2*i - k, -5*i = -k + 26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.468335263 rounded to 3 dps?\nAnswer: -2.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2779 divided by -4.\nAnswer: -2779\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r + 756. Let t = -229 - r. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmptrbmbeereper. Give prob of sequence prpr.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -i - 20, -3*v - 33 - 10 = -5*i. Let w be 3 - 1 - v\/(66\/(-180)). Let h be 5*4 + w\/(-7). Solve -4*z = -3*g + 10, -g = 4*z - 6 + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1695 - -3518. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5 = -2*m - 0, 5*m - 15 = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.80028 days to seconds.\nAnswer: 673944.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 2 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -17*i**3 + 5*i**2 - 4 - 5 + 7*i + 16*i**3. Suppose 15 = 2*z - 3*g, -3*g - 12 = -4*z + 15. Determine s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2154725 - 13*q**2 + 13*q**2 + 2154725 - 26475*q**3 + 26472*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 + 6*y - 16. Let z be x(-6). Let n(q) = -q**3 + 20*q**2 + 9*q - 45. Is n(z) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*g + 4068 = -80*g. List the prime factors of g.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -43*v**2. Let h be -549 - (-2 - (-24)\/18)*6. Let c = 544 + h. Calculate x(c).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680828577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -9. Let i = n + -20. Suppose i*u + 59*u**2 + 66*u**3 - 32 + 37*u**2 + 10*u**4 - 10*u**3 = 0. What is u?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let u be (-4)\/14 + (-16)\/(-7). Suppose l = -u + 6. Let c(d) = d - l*d + 2*d. What is c(v(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 81*i**2 - 2*i - 4. Let x be v(-2). Suppose -84 = 12*m - x. Which is bigger: 27 or m?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 508*l**2 - 2*l + 13. Is g(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/515 - -511\/1030. What is the nearest to s in -1\/4, 0.01, -110?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -15*d**4 + 2*d**3 + 13*d**2 + 2*d. Let b(o) = -o**4 - o**3 + o**2 - o. Let q(y) = -2*b(y) - u(y). What is the third derivative of q(p) wrt p?\nAnswer: 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, b: 3, i: 7, a: 1}. Give prob of sequence bbib.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 5*j**3 - 7*j**3 - 2*j.\nAnswer: -20*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**5 - 2*o**4 + 6*o**3 - 6*o**2. Let l(h) = -h**5 - h**4 + h**2. Let a(z) = i(z) + 4*l(z). Factor a(b).\nAnswer: 2*b**2*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2605 + 2604.99996315. Round k to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120363 and 2067.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Suppose -4*n - 12 = 0, 3*b + n = 195 + 93. Let u = b - -13. Let p(g) = u*g - 79*g - 59*g. What is p(d(i))?\nAnswer: -56*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 - -3.90053. What is x rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -117*(-1 + (-3)\/(-9)). Let i = -45 + k. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 2*t**3 - t**2 + 2*t**3 + 0*t**2 + 0*t**2 + (t**2 - t**2 - t**2)*(-2*t + 0*t + 0*t) + 4*t**3 + 0*t**3 - 2*t**3 - t - 85866*t**3 - 2*t + 86126*t**3.\nAnswer: 264*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.8 - 24.805064. Round d to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 2*o**2 - o**4 + 6337753*o**3 + o**2 - 6337794*o**3 as l + b*o**4 + c*o + r*o**3 + s*o**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -61*s - 1163. Calculate i(-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 2*w**8\/21 - 19*w**4\/24 - 9*w**2. Find the second derivative of h(y) wrt y.\nAnswer: 640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let t(z) be the first derivative of -3 + 0*z**2 + 3*z - 5\/6*z**3. Let s(f) be the first derivative of t(f). Calculate s(l(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -5*s**3\/6 - 25*s**2\/2 - 15*s. Let f be u(-7). Solve 20 = -i - 4*j, 2*i + f = -2*j - 0*j for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**4*m - 2*g**4 - 6357*g**3*m**2 - 6*g**2 - 5*g*m**2 + 35*g*m + 37*m**2 wrt g.\nAnswer: 72*g*m - 48*g - 38142*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**4\/8 - 5*v**3\/2 - 7*v**2. Let z be s(-6). Let p be -2 + 8 - (3 - 1). Solve p = z*d - 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*4*(-56)\/98.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*(-9)\/(-108))\/((-7)\/(-2))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30404 (base 7) to base 9.\nAnswer: 11135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**4 + 0*p**4 - 4*p**4 + (-66*p**3 + 73*p**3 - 46*p**3)*(0 - 2 + 6*p - 4*p) to the form k*p**3 + x*p**2 + r + c*p + o*p**4 and give o.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10960467*s. Let y(z) = 7*z + 6. Give y(x(r)).\nAnswer: 76723269*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. What is the common denominator of 19\/20 and 213\/6 + f + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 3*t + 3. Let i(u) = -u - 1. Let z be 880\/400 - (3\/5)\/3. Calculate z*i(k) + d(k).\nAnswer: -2*k**2 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 606*-0.083675\nAnswer: -50.70705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24566, 24568, 24570, 24572, 24574?\nAnswer: 24576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 40. Let f = b + -12. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4302 (base 15) in base 11?\nAnswer: -a719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 29 - 7 - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t**2 + t + t)*(-5 + 5 - 2) - 2*t + 2*t - 2*t**2.\nAnswer: 4*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398 = 10*p + 1548 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -28, -45, -62?\n\"Answer: -17*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 18*s + 7 + 4*s**2 + 19\/6*s**3. Let n(q) be the first derivative of u(q). Differentiate n(k) wrt k.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 177676 and 16.\nAnswer: 710704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1821685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2714199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y - 8*y = 17280. Solve 8*b = -96 + y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + 0.08. Let i = -344 - -343. Which is greater: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*o + 8*o = -26, 0 = 3*l + 4*o + 14. Solve l*f = -0*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - 19*y**3\/3 + 10*y**2 + 42*y + 5. What is the units digit of k(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = 0. Suppose 5*r + 5*z - 35 = q, -z - 24 = -3*r + 9. What is the remainder when 17 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(2*(-26)\/12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -13618 and -23882 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlck when four letters picked without replacement from {k: 4, c: 3, l: 2, n: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -0.4, 0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718 - 718 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 + 398157*m + 796318 = 0 for m.\nAnswer: -2, 398159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-33) + 3248\/(-44). Let g = -45 - i. Calculate the remainder when 115 is divided by g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*p**4 + 10*p**3 - 4168*p**2 - p wrt p.\nAnswer: -1680*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -380500 less than or equal to -380998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 970025397\/3638 + -266637. Are i and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4304 is divided by 590?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-70))\/(((-24)\/4)\/(-84))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050396048 rounded to 3 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112039*a*j + 8*a - 2839 with respect to j.\nAnswer: 112039*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 17843, 1, 16\/3 in descending order.\nAnswer: 17843, 16\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 17*i**2 + 18*i + 38. Let h be f(-16). Let a = h + -8. Let z(u) = -u. Let o(l) = 2*l - 1. Calculate a*z(x) + o(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 2*b + 5. Let h(v) = 9*v**2 - 21*v - 51. Let n(g) = 4*h(g) + 42*o(g). What is the first derivative of n(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-3)*(-30)\/25. Suppose u*h + 9 - 47 = 0. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 902662 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 2:08 AM and 2:19 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 38 (b) -750 (c) -0.5 (d) 0 (e) 2\/13 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(7 - 5))\/((-6)\/4). Sort 6, 4, 0, s in decreasing order.\nAnswer: 6, 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 6*p + 4. Let i(z) = -2*z**3 - z**2 + 12*z - 9. Let r(y) = -11*f(y) - 6*i(y). Let o be r(-7). Solve 2*b = o*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828729407 + 29*r + 828729407.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-24)*((-528)\/32 - -15)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j = -46*j + 5*l - 38, 0 = 5*j + 5*l - 55. Let k = -32 - -31. Put k, j, -0.2 in increasing order.\nAnswer: k, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(4 + 145*b - 3855*b - 3)*(-5 + b + 4*b + 4).\nAnswer: 37100*b**2 - 7430*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 26486.\nAnswer: 264860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose -2*s + 18 = 5*l - 17, l - 85 = -t*s. Suppose w = -4*w + s. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:24 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*a - 24, 6*v = 3*v + 4*a + 38. Let s = -15 + 12. Let n be (-4 - 7\/(-3))*s. Solve 10 = n*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 0*a + 5*a**2 + 5\/24*a**4 + 2\/3*a**3 + 0. Differentiate i(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/47 in 43, -5, 3\/5, -0.043, -2?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*j - 28 = 0, -829*v + 824*v = j + 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -154*f**2 - f + 0*f + 1365*f**2 to l*f**2 + c*f + o and give l.\nAnswer: 1211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*m**3\/13 - 8*m**2\/13 - 120*m\/13 - 64\/13 = 0 for m.\nAnswer: -8\/7, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 1617*w**4 + 95250*w**3 + 177612*w**2 - 381048*w - 736320 = 0.\nAnswer: -472, -65, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25938304 to the power of 1\/2, to the nearest integer?\nAnswer: 5093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8536\/968 - (7 - -2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -25*n - 16. Let r = 0.376 - -3.624. Which is the nearest to -1? (a) r (b) -5.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g - o - 50, 3*g + 3*o = 72. Solve 0 = 5*u - g + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18 + -8)*-4*((-1)\/4 + -1). Solve -26*h + 48 = -w*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 3, f: 8, y: 2, u: 2}. Give prob of sequence by.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 1 = 12*d. Let t(h) be the first derivative of h**3\/3 - h**2\/2 + h + 79. Let b(o) = -4*o**2 - o - 2. Calculate d*b(j) + t(j).\nAnswer: -3*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115870 - 1?\nAnswer: -115871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 5 = 37. What is the second derivative of 11*w**3 - 41*w + s*w + 11*w**3 wrt w?\nAnswer: 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-3)*6*(-54)\/36. Let g(a) = -2*a + 12. Suppose -y + 3 = -2. Let d(b) = -b + 5. What is y*g(f) + z*d(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157305241 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llmlmllllml. What is prob of sequence ml?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 12710, 10 in ascending order.\nAnswer: 4, 5, 10, 12710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1867*g**5 - g**2 + 20*g - 204 wrt g.\nAnswer: -112020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111687279 by -3.\nAnswer: -37229093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 + 2625*o**4 + 340575*o**3 - 1037525*o**2 + 1042800*o - 348480 = 0.\nAnswer: -264, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399\/((-69426)\/580)*-1*(-2)\/(-300).\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 69*d**2 + 2*d + 2. Let v be m(-1). Let x = -29 + v. What is the greatest common divisor of x and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265*u + 142*u - 171 + 263*u wrt u.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 20211013120?\nAnswer: 20211012233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -402*l**2 + 1377*l + 41364.\nAnswer: -3*(l - 12)*(134*l + 1149)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, f: 4, u: 2, z: 3, t: 2, n: 2}. Give prob of sequence tffu.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497*k + 2 = 496*k. Let x = -8 - -7.5. Let y = 4.4 + -0.4. What is the second biggest value in x, k, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-568)\/20 + 4 - (-3)\/(-5). Let o be -13 - (l + 18) - 10*-1. Suppose -2*b**o - 14\/5*b**3 + 16\/5*b + 8\/5 - 2\/5*b**5 + 2\/5*b**2 = 0. Calculate b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72803 < -74061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, -206.\nAnswer: -206, -3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 2*c**2 + c + 1. Give w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 - -310. Let g be h\/(-210)*24\/(-112). What is the smallest value in -2, g, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**6\/720 - 11*z**5\/60 - 7*z**4\/6 + z**3\/6 - 3*z**2 - 10. Let g(q) be the second derivative of c(q). Calculate g(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**2 - 24 - 101\/3*u**3 + 0*u**4 - 26\/5*u**5 + 0*u. What is the third derivative of p(i) wrt i?\nAnswer: -624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16719923 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90698 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 q when three letters picked without replacement from {t: 2, a: 2, r: 3, y: 3, q: 1, l: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.70901*-3\nAnswer: 11.12703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -q - 2*w, -q = 2*q - 3*w + 27. Is (1 - (-25)\/q)\/((-3)\/404) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 375*q - 1488. Let c be m(4). Solve 70*x = 66*x - 20, 3*x = n - c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5841)\/(-16) - (-142)\/(-2272). Calculate the greatest common divisor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h = 54*h - 1112 - 3011 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in 2\/61, 0.13, -7, 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65785 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 496648*w + 15416202244.\nAnswer: 4*(w - 62081)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 - 13 + 6*k + 2*k + 3*k + k**3 + 3*k**2 + 3*k to the form a*k**2 + m*k**3 + z*k + d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.4, -1\/2854, 16\/9, -5?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -3) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 2*w - 1. Let s be a(3). Is 3 - (1 + s) - -51 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 3) + -9 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10614 and 1943?\nAnswer: 711138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, b: 3, s: 2, r: 8}. Give prob of picking 1 s, 1 b, and 1 r.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from bhtbthtbthhpch.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 120 = -30*b. Suppose -2*v = 2*q - 4*v - 20, 2*q = -2*v + b. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3198\/(-492) + (-1)\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 16*a**3 - 2*a**2 + 2*a - 1. Suppose 0 = -w + 3 + 3. Let h be w\/3 - (0 + 1). Calculate the remainder when 43 is divided by i(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 10*s - 6. Let m be k(6). Let t = 14 + m. What is the second biggest value in -2, t, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/883 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1967205 < -1967210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 177 or 176?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1215)*2)\/(sqrt(300)*-1).\nAnswer: -9*sqrt(5)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000913 rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -268409784, -268409782, -268409780, -268409778, -268409776, -268409774?\n\"Answer: 2*u - 268409786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.347, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -205 + 6?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2121)\/3)\/((-76)\/(6460\/595))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let r = 2\/2253 - -4472\/38301. Let h be (-10)\/6*4\/(-20). Which is the nearest to q? (a) h (b) r (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.14, -4, 5, 4\/3, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 222, 472, 778, 1176, 1702?\n\"Answer: 6*n**3 - 8*n**2 + 232*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-300)*((-120)\/18)\/(-5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 + -6 + -1 - 9)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpppupvvpuupuc. What is prob of picking 1 v and 1 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, a: 2, e: 1}. What is prob of sequence uaua?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 3, -48216, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/7 + 258*m**2\/7 + 15840*m\/7 - 104544\/7 = 0.\nAnswer: -132, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let k = -0.4 + 0.2. Let i = 22 + -17. What is the third biggest value in m, k, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011101 + 1101100101101101?\nAnswer: 1101101010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/39)\/10*((-4)\/(-14))\/((-124)\/651).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {w: 2, z: 1, m: 1, n: 1, f: 1, q: 5}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 9, m: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 w when three letters picked without replacement from {p: 4, w: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 135. Suppose -m - 17 = s - 6*s, -m + f = s. What is the remainder when 9 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 0.104519.\nAnswer: -0.195481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4079 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -17) + -7 + (5 - 18) + 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/16 in -1, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5e (base 15) to base 7\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**3*g))**(1\/66)*(g**(2\/11))**(-26) assuming g is positive.\nAnswer: g**(-158\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294552651 divided by -3.\nAnswer: -98184217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8541*w**3 + 730*w**2 - 365*w + 365. Let h(b) = 70*b**3 + 6*b**2 - 3*b + 3. Calculate 365*h(z) - 3*x(z).\nAnswer: -73*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(110) - sqrt(110))*-1 - sqrt(110))\/(sqrt(288)*-2 - sqrt(2)))\/(6*((sqrt(176) + sqrt(176)*4 + sqrt(176))\/sqrt(8))\/sqrt(2)))**2.\nAnswer: 1\/162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from vvvxvvvvxxvvxxvvvvv.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*r - 117 = 37*r. Does 5 divide r - 928\/(-8) - -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 141 or 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 5 - (7 + 1 + (246 - 276))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1679300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k + 1485 = -127*k + 143*k for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 484*j + 7479. Determine k(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 45. Let d(b) = -17116*b. Determine u(d(z)).\nAnswer: -34232*z - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4842 = -10*f + 7*f. Suppose -4*w + 4 = 0, -3*n - 4*w + f = -604. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(-4*t**2 + t**2 + t**2) + t**2 - 3*t**2 + t**2 - 10*t**2 - 7*t**2 - 11*t**2)*(30 + t - 16 - 18)*(4*t - 4*t + 2*t).\nAnswer: -54*t**4 + 216*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4345789 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3544\/12*9\/(-6). Let c = t + 700. What are the prime factors of c?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 - 1298*g**2\/7 + 7874*g\/7 + 1310.\nAnswer: -2*(g - 7)*(g + 1)*(g + 655)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2776423789?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -96.318 times 11.6?\nAnswer: -1117.2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20205755.\nAnswer: 5, 4041151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -f*l - 5 = -8*l - r, l = -5*r - 13. Suppose l*g - 62 = -h + 51, -g = 4*h - 445. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/360 + g**4\/8 - 2*g**2. Let r(h) be the second derivative of y(h). Let n(i) = 12*i**2. Determine r(n(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*t + 150 = -124*t. Let b be (7686\/t)\/(-3) + (-4)\/10. Suppose m - b = 2*h, 3*m = -m - h + 313. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-1 - -3 - 2). Let l = -4 + 0. Let u = l - -3. Sort h, u, 3 in descending order.\nAnswer: 3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.06799 - -0.23221. Let o = r - 3.33. Round o to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 4688200 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -97.7. Let y = s + -3.6999987. What is y rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 4 = 0, -5*m = 5*l. Let v be (-5)\/((-80)\/(-18))*36\/(-27). Put v, m, 1, 4 in decreasing order.\nAnswer: 4, v, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 106*b - 13 + 50 - 40 as p*b + a and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -12*k**2. Let d(s) = 258*s. Give c(d(q)).\nAnswer: -798768*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-6) - 2)*3. Let r = -40 - -40. Let p(o) = 8*o + 3. Let a be p(r). Solve -a - q = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = -9*b - 40. Suppose -1392 = -b*q + 668. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10.57, 2\/21, -9, 0.5, 1?\nAnswer: -10.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2183380064?\nAnswer: 2, 23, 37, 80177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyggggy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20472*f = -20698*f - 5650 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1829? (a) 3\/8 (b) -2\/9 (c) 614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 22*k - 63*k**4 + 123*k**4 - 23*k + k**3 - 62*k**4 - 4 to r*k**4 + c*k**2 + d*k**3 + a + t*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/408073872 and 67\/12.\nAnswer: 408073872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2930*r - 991*r - 989*r - 1408 = 972*r for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.136*-3521.5.\nAnswer: -478.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21939852*i**3*j**3 - 5*i**2*j**3 + 37*i**2 - i - 652*j**3 + 3*j**2 wrt i.\nAnswer: 131639112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -7*k - 151. Suppose 2*z = -2*g - 73192, g = k*g - 3*z + 36612. Round g to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + m + 2*m = 20, -5*b - m + 14 = 0. Suppose -o = b*o - 2757. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -258\/5 + 52. Suppose -3*g = -4*u - 5*g - 116, -127 = 5*u - 2*g. Let o be (-9)\/u - (-2)\/12. Which is the second biggest value? (a) o (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + 2 + (1 + sqrt(448)*4 + -1)*2 + -4)**2.\nAnswer: 128*sqrt(7) + 28673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:57 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**4 - 4716*i**3 + 55620*i**2 + 461484*i + 756216 = 0.\nAnswer: -3, 18, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -5*g - 1528 + 1590, -4*s - 2*s + 8*g - 124 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62 plus 18.2642?\nAnswer: 17.6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d + 30*d + 36*d = 4588 for d.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -77 (b) -1 (c) -0.02792 (d) 2 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 2. Let i be s(11). Let h be (8\/4)\/(2\/i). Solve q = -3*c + 11, -q + h = 2*c + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 14*a**2 - 15*a + 8. Let n be m(-8). Suppose -4*g + 22*g - 594 = n. Solve 9 = -2*o + 5*r + g, -3*r - 12 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -21*q - 3. Let f be h(-3). Let n(w) = 5*w**2 - w - 5. Let g be n(-4). Suppose -5*c + 5*u + f = 0, 4*c + 5*u - 5 - g = 0. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(189))\/(-6*sqrt(448)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2\/(-13) - (-550)\/195).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32658 is divided by 16247.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -3*w**4\/8 - 7*w**3\/6 - 153*w**2. Let s(j) = -j - 1. Calculate 6*s(l) - t(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/((-21)\/105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25017, -30627, -123367, -253203, -420135, -624163?\n\"Answer: -18548*z**2 + 43565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 - 5*o - 14. Let s be (24\/(-18))\/((-4)\/(-18)). Let n be u(s). Solve -4*x = 2*q + n, -x + 3 = 2*q + 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by 2.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, q: 2, h: 8, n: 2}. Give prob of sequence ffhf.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**9\/v)\/v**39*(v*v\/(v*v*v*v**(2\/21)\/v*v)*v)**(29\/2) assuming v is positive.\nAnswer: v**(-680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(78)\/sqrt(6)*2.\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*n = 744*n - 111*n - 592 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6*j = -2*j + 20 + 28, 0 = 37*j + 370 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + d = 13, 5*h = d + 3 - 26. Is h + 5705\/25 - (-1)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -11121*c**2 + 88933*c + 262. Calculate s(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riurtiieruuuruure. Give prob of picking 1 t and 3 i.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.398 + 34678.612.\nAnswer: 34678.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - d + 0)*(4*d**2 - d**2 - d**2 + (4*d + 24 - 24)*(3*d - 5*d + 3*d)).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n + 1. Let i be s(-5). Suppose 4*a = i + 2. Suppose 0 = 2*r - 0*r. Solve a = -3*t - 0*t - w, -3*t - 5*w - 12 = r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**23*(o*o**2*o)\/(o**(-1\/9)*o*o*o) assuming o is positive.\nAnswer: o**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 3 - (1 + -4). Suppose c = -x, 0*c - 4*c - k = x. What is the third derivative of 0*v**2 + x*v**2 - 2*v**6 + v**2 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -366 + 366.0451. Round i to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89\/3 + 29. Suppose v - 23 = 2*j + 3*j, -2*j - 23 = -5*v. What is the closest to -1 in z, v, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 0 - 2)*(-32*y + 68*y - 1029*y) to h + f*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -4. Let x = -29 + a. Sort 1\/6, 5, x, -4.\nAnswer: -4, x, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28917?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2080 + 340 = 43*a + 15*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 2*f**2 - 3*f + 6. Let m = 34344 + -34346. What is g(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -3*o - 16, -48*n + 43*n = 3*o + 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3)\/a*a*a)\/a**(-1\/6))\/(a**(-6)\/((a**10\/a)\/a)) assuming a is positive.\nAnswer: a**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 24*n**2 - 19*n - 50. Let s be j(23). Calculate the highest common divisor of 147 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 226*n - 227*n - 5*a + 9, 13 = -3*n + 5*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.09175g in nanograms?\nAnswer: 55091750000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -461*k**4 + 11*k - 4607. Let l(x) = -462*x**4 + 14*x - 4607. Let d(s) = 4*g(s) - 3*l(s). What is the first derivative of d(i) wrt i?\nAnswer: -1832*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/9 - ((-36)\/(-45))\/((-4)\/10)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8216516*h**4 + 96784132*h wrt h?\nAnswer: 98598192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)*(-1)\/5. Suppose 9*j = 2*j - 7. Let d be (27\/(-12) + 2)\/j. Which is the closest to p? (a) d (b) -2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 89, 13\/3, -0.2, -5, -17 in descending order.\nAnswer: 89, 13\/3, -0.2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 + 3*f**3 + 6*f - 2*f**2 - 2*f as r + y*f**2 + t*f**3 + q*f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 13*j - 28, 51 = 5*y + 3*j + 3 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 216*n**3 - n**2 + n. Let p be h(1). Let g = p - 710\/3. Let b = -5521\/474 - 3\/158. Find the common denominator of g and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/(-49) - 2\/7. Solve -5*t - 3*y = 15, y + 1 + 4 = s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(48)\/(sqrt(54) + sqrt(6)) + 5*sqrt(8)*-3)\/(-5*sqrt(4)*1 + sqrt(4) + -4*sqrt(36)).\nAnswer: 55*sqrt(2)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28715 is divided by 2391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 795, 789, 781, 771, 759?\n\"Answer: -u**2 - 3*u + 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -21*a - 2*a - 273 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 299*f - 1470. Determine g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -700, -5, 1\/13, -3.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 + p**3\/3 - 7*p. Calculate m(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 - 13*j**3\/6 + 3*j**2 + 1. Let q(p) = -4. Determine -2*b(m) + 7*q(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 42008*v - 924277. Give p(22).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1538 - 458. 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: Calculate the remainder when 16138 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2, -37, -0.5, 5\/2 in descending order.\nAnswer: 21, 5\/2, -0.5, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104038, 208076, 312114, 416152, 520190, 624228?\nAnswer: 728266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 10, -5, -3, 2.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2.03, -5, -2\/5, 27, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 507860 by -268.\nAnswer: -1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5*s - 3*s + 0*s)*(-3 + 4 + 1 + (1 + 3 - 2)*(-3 + 3 + 2) - 3 - 4 + 6 + 3 - 4 - 1).\nAnswer: 6*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285236 and 568764.\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/294 and 17\/5194?\nAnswer: 15582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(24\/5)*j)*j*j\/j**(5\/11))\/(j\/(j**(-1\/13)\/j))**(-5\/7) assuming j is positive.\nAnswer: j**(-8864\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 2. Let j(v) = 2*v**2 + 7*v - 130. Let c be j(-13). Let p = -469\/4 + c. What is the nearest to p in -0.3, x, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -11000001111 (base 2) to base 3\nAnswer: -2010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1224 by 4.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-566)\/176)\/1 + -3. Let i = t - -65\/8. Let v = -573\/7 + 4353\/56. Find the common denominator of v and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 3 = 19 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from ffffqffqff?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 14 - 1, -2*j - 3*q = -179. Suppose -j = -7*k + 67. Let c = -216 + 423. Calculate the highest common factor of k and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 221\/34 - 1\/2. Let n(v) be the second derivative of 1\/6*v**4 + 0 - v + 1\/15*v**u + 0*v**2 + 0*v**5 + 0*v**3. Find the third derivative of n(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-7\/5))\/i*i**9*i)\/((i**(-11\/2)\/i)\/(i\/(i\/(i**(-6)\/i)))) assuming i is positive.\nAnswer: i**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2087391 - 1?\nAnswer: -2087392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 14985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -541226 divided by 5.\nAnswer: -541226\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/129 and 121\/143676?\nAnswer: 6178068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109415571.\nAnswer: 3, 36471857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1479 + -1392. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 20. Suppose 2*k - 14 = -4*p - 4, -3*k = 2*p - 7. Let h be p + 7 + (2 + -2)\/5. Solve d*z - h = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 36*m = 87. Let c be m*-1 - (-2 + -4 + -39). What is the highest common factor of 126 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (7 - (-9 - -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17366.991601 + -17367. What is c rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y - 8. Let n(q) = -2*q**2 - 2*q + 3. Let j be n(-3). Let i = j - 0. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1625\/664354 or 0?\nAnswer: -1625\/664354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -138767 (base 11) in base 15?\nAnswer: -44262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -2\/3, -5, 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82114466911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1146405*v = 1146645*v + 4560 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + t**3)*(-163*t + 463*t + 454*t).\nAnswer: 754*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 212212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2779 + 3229. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -17. Suppose q*s - 7*s = -8. Let x = 0.27 - -0.03. What is the third biggest value in x, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3285 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 - 34*z + 788. Calculate the smallest common multiple of 8500 and m(13).\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 12 + 12 - 4*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 2*q. Let c be i(1). Let m = 61\/90 - 9\/10. What is the nearest to m in 5, 3\/8, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-85)\/(-10))\/17*-1*(-120)\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + 14*u + 17. Let k(s) = 2*s**2 - 5*s - 6. Suppose -3 = 2*b - 9. Let q = 8 + b. Give q*k(j) + 4*a(j).\nAnswer: -2*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -644396 * -1.\nAnswer: 644396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 675\/77 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -3152174.\nAnswer: -3152173.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*j - 2*c, -5 = 4*j + c - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302688?\nAnswer: 2, 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*-4*(-81)\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4801 + 4801.1. Which is the fourth smallest value? (a) -2\/13 (b) 2\/471 (c) p (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 3*m + 3*m - 16 - 8*m. What is w(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 12615*s - 12612.\nAnswer: -3*(s + 1)*(s + 4204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 17. Suppose -64 = -t*s + 4*s. Solve -4*y = -0*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -505152?\nAnswer: 505150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + 8 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2. Let c(u) be the second derivative of -u**4\/24 + 35*u**2 + 11*u - 2. Let m(s) be the first derivative of c(s). Calculate b(m(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444959861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -16*v - 172. Let n be k(-11). Let d be (-5)\/100*-8*2\/n. Let x = 39\/2 + -17. What is the third smallest value in 1\/11, 0.5, d, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333804.\nAnswer: 2, 3, 27817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174115000 rounded to the nearest 1000000?\nAnswer: 1174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.93 + -0.07. Let r = v + 6. Sort -0.2, r, -3 in decreasing order.\nAnswer: r, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587b41 (base 14) in base 2?\nAnswer: 1011100000110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 21*w - 238. Let z be g(-9). Suppose 42727 + 179449 = z*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5 + 5 = 3*t, -2*t + 8 = -2*d. Suppose 4*z + z - 45 = -5*c, -4*z = 5*c - 40. Sort -7, z, t, -4 in descending order.\nAnswer: z, t, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/3465)\/(7\/63).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.61 + -4.41. Let r be 60\/63 - (-8)\/(-12). Which is the closest to r? (a) m (b) 0 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((-190)\/(-194) - 1). Let p = 299 + m. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**(-2\/27) assuming f is positive.\nAnswer: f**(2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*3\/27)\/(3\/36). Sort 3\/22, 4, m, -0.3.\nAnswer: m, -0.3, 3\/22, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 198*b**2 - 7683*b - 261. Give s(145).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14024572, -14024571, -14024570, -14024569, -14024568?\n\"Answer: b - 14024573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2524*w**2 - 6*w + 2531*w**2 - 576 - 5053*w**2 in the form h*w**2 + v + y*w and give v.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 177 - 669. Let l = -2\/1221 + 103813\/17094. Find the common denominator of -1 + a\/27 + 0 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 5 (c) -20\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -312.389.\nAnswer: 5310.613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3257 and -6\/421?\nAnswer: 1371197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 46742?\nAnswer: 327194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.60567 rounded to 1 decimal place?\nAnswer: 115.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 5 = 3*w + p, -3*p = 4*w + 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8088*a**4 - 170*a**3 - 2*a**2 - 7882820*a?\nAnswer: 97056*a**2 - 1020*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 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: Let p(r) be the third derivative of -1\/30*r**5 - 9*r**2 + 0 + 41\/6*r**3 - 1\/120*r**6 + 0*r - 1\/24*r**4. What are the prime factors of p(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4, -4*h = -g + 44 + 10. Let v = g - 14. What is the greatest common factor of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1213 and -3?\nAnswer: 2.8787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28665640153 - -4.3.\nAnswer: -28665640148.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11869, -11994, -12119, -12244, -12369?\nAnswer: -12494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70865*s - 105508*s - 83960*s.\nAnswer: -118603*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*v + 34 + 141 - 14 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**2 + 23*h**2 - 13*h**2.\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {t: 2, x: 2, l: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 13760*d**3 + 27517*d**2 - 41286*d + 9 = 0.\nAnswer: -3, 3\/13760, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -1 (b) -0.2 (c) 1\/65 (d) -1\/11 (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947912 to the nearest integer?\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434 (base 15) to base 2.\nAnswer: 1110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 68*o - 68*o - 2*o**4 - 6 + o**2. Let v(z) = 3*z**4 - 2*z**2 + 7. Let u(c) = -6*v(c) - 7*w(c). Find the third derivative of u(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9))**(2\/9) assuming x is positive.\nAnswer: x**(4\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11836 - 11835. Is h not equal to -13\/160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 1\/2499?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 15*y**2 + 6*y - 10. Let x be u(2). Suppose -3*g + x + 28 = 0. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -15*a + 23780. Calculate the highest common factor of a and 1725.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - 10*i**3 + 15*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*s + 11*s - 21194 + 21183)*(-3 + 4 - 4*s + 2*s**3 - 3) to the form u*s**2 + y*s**3 + j*s**4 + g*s + a and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75762.1 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 124*l - 126*l - q, -3*l + 162 = 3*q. What is the second smallest value in l, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 11) in base 6?\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -191.583869 to one dp.\nAnswer: -191.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - t**2 + 0 + 2*t + 4 to the form z*t + r*t**2 + m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -16)\/(((-9)\/(-3))\/30). Is -160 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9309 and 12?\nAnswer: 37236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-196)\/(-21) + 4\/6. Calculate the remainder when 21 is divided by 3\/(-5) - (-66)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1*17\/(-4))\/((-43)\/(-2408))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2093 - -3889. Is o a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 10. Let a = u - -34. Calculate the smallest common multiple of a and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 23*o - 8. Let h(m) = -3. Let j(w) = -8. Let n(k) = 3*h(k) - j(k). Let p(u) = 8*u + 2. Let b(y) = -5*n(y) - p(y). What is 11*b(f) + 4*g(f)?\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {w: 4, d: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59551.879 + 59494. Round s to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55379.\nAnswer: 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**4 - 3*v**3 + 115 - 113 - 2*v + v**2 + 2*v + 3*v to r*v**2 + o*v**4 + l*v**3 + k + j*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 times -0.04349?\nAnswer: 14.04727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + v + 1 - v**3 - 3*v**4 - v**4 - 3 in the form m*v**3 + k*v + b*v**2 + i*v**4 + s and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16*w\/w**(-1\/15))\/(w**(4\/5)\/w**2) assuming w is positive.\nAnswer: w**(274\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (84\/(-504) + (-5)\/6)*-257 is divided by 108.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 - 4*x**3 + 3*x**3 + (-3*x + 0*x + 4*x)*(-3 + 3 + 2*x**2) + 2*x**3 + x**2 - x**2 + 33*x**3 - 3*x + 3*x - x**3 - 6*x**2 + 3*x**2 + 7*x**2.\nAnswer: 35*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -101, -0.1, 2\/113, 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000010 - 102?\nAnswer: 1222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 19\/21, -1\/3, -0.5, 0.4, -0.07, 3\/7?\nAnswer: 19\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**5\/60 + 5*b**4\/24 + 7*b**3\/6 - 74*b**2. Let i be w(-3). What is the closest to -0.1 in 4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22528 + -22541. Which is smaller: i or 51?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 791, 2671, 6323, 12335, 21295, 33791, 50411?\nAnswer: 71743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 21960?\nAnswer: 285480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*a**2 + 41*a**2 - 129*a**2)*(0 + 3 - 2) as b*a + s + w*a**2 and give w.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let a = -10 + 23. Let f(y) = a*y + 27*y - 7*y. Calculate x(f(k)).\nAnswer: 1089*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 + 135*l**2 + 67*l + 70. Calculate m(68).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -183*y**2 + 15*y. Let d(m) = -184*m**2 + 18*m. Let h(p) = 6*a(p) - 5*d(p). Let k(l) = -2*l. Determine h(k(w)).\nAnswer: -712*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - s + 1677 = -6*x, 0 = 2*s + 6. Let u be x\/(-7)*47500\/2. Suppose 2*f - 3*f = -u. What is f rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 26*v - 116. Let h be l(4). Let r be (32\/(-64))\/(2\/(-12)) - h. Sort r, 4, 1, 3\/2 in ascending order.\nAnswer: r, 1, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u + 40 = 0. Suppose 5*z - 18 = -u. Suppose t - 1171 = -4*n, -6*t + 1168 = 4*n - z*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -4, 0.2, -3.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/425*-35)\/(((-6)\/10)\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 10\/3*(-162)\/135\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4334 divide 3827637110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/3))**(1\/4))**(-1\/4) assuming j is positive.\nAnswer: j**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4746 + 16231. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, z: 1, l: 4, a: 2}. Give prob of picking 2 a and 1 z.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/2409 and 151\/6.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10653*m + 191758. Calculate u(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18473 + 45462057\/2461. Let r = g - -71297\/44298. Let n = -522\/5 + 8527\/80. What is the common denominator of r and n?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t - 28*t - 7 = -k, -k + 3*t = -15. What is the least common multiple of k and 38?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*m + 4869 = -43*m + 20446 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10596 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13046381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 586237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2548 + 4467 - 2347)*(2 + 0 + 0)*(2*f - 4*f + 4*f) as g + w*f and give w.\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/30 + 3*g**4\/2 - 35*g**3\/6 + 27*g**2. What is the least common multiple of 155 and l(-20)?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -14*i**2 - i - i - 15 + i - i**3. Let s be c(-14). Let q be (s + 0)*(5 - (3 + 2)). Solve 2*o + 2 + 8 = q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 6556?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 11) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7 + a**2 - 7 + a**3 + 4*a - a**4 to the form s*a + j*a**4 + k*a**2 + l*a**3 + r and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2. Let s(x) be the first derivative of -1649*x**2\/2 + 1055. Calculate s(j(c)).\nAnswer: -3298*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 14. Let k(w) = w + 15. Let h(j) = -4*k(j) - 5*u(j). Let q be h(-5). Find the first derivative of -q + 4*n**3 + 3 - 3*n**3 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7287\/10 - 728. Calculate the common denominator of o and -107\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 693488, 693484, 693482, 693482, 693484, 693488?\nAnswer: 693494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.59 + 48. Let n = -592\/2023 - -2\/289. Put 1, u, n, -3 in decreasing order.\nAnswer: 1, u, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3217244?\nAnswer: 2, 47, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*n - 2, -n + 5*n = 4*u - 8. Let g be (3 - 2)\/(n\/(-40)). Let o = 1240446 - 1240441. What is the greatest common factor of o and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 20*i**5 + 71*i**4 - 96*i**3 - 173*i**2 + 250*i - 72 = 0.\nAnswer: -4, -2, 9\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182695?\nAnswer: 5, 61, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3631 + 1.3.\nAnswer: -3629.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 + 0.01. Put -1, x, -2 in descending order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7925 - 7943 = -9*q. Let z(x) be the second derivative of 0 + x - 1\/6*x**4 + 0*x**q + 5\/3*x**3. Find the second derivative of z(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 46. Let a be y(-6). Let d(z) = 39*z**2 - 4*z - 4. Is 10 a factor of d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -102002?\nAnswer: 101444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 117. What is the highest common divisor of 324 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 less than or equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 - 3 = 0. Let l be (n - 3\/1) + 313. Suppose 5*f - l - 24 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let o(p) = i*p**2 + 1 - 2 + 0*p**3 + 2*p**3 - 2*p. Suppose -d + 3*k - 7 = -2*d, d + 11 = 3*k. Give o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69087485, -138174971, -207262457, -276349943, -345437429, -414524915?\nAnswer: -483612401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (3\/3 - 1). Let a(h) = -23*h + 3. Let b be a(c). Calculate the common denominator of ((-4)\/(-8))\/((-2)\/b) and -38\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 - k**5\/5 - 13*k**4\/12 - 7*k**3\/3 + 4*k**2 + k + 10. Calculate r(-10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543680 divided by -2.\nAnswer: 271840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.16. Let q = -0.26 + 11.26. Let d = -15 + q. Which is the closest to v? (a) 3 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24197295 is divided by 1271?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-30)\/(-20) + (22\/(-2) - (-16200)\/1104)\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.75 - -111.25. Which is the closest to 0? (a) -0.3 (b) 2\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(1 - 4 + 1)*(-14 + 2*m + 14)*(0*m - 3*m + m).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2946909 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6.4*5.62\nAnswer: 35.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/31 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 1108, 2516, 4416, 6808?\nAnswer: 9692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*f = f - 17, -a + 44*f + 1038 = 1079 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/(n*n\/(n\/n**(-1\/4))))\/(n**(-4\/5)*n**(-2\/19)*n))\/((n*n*n**0)**33\/(n\/n**(-6)*n*n**5)) assuming n is positive.\nAnswer: n**(-19701\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygizifzzzzifzfigzzy. What is prob of sequence zi?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132166260 divided by -610.\nAnswer: 216666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(891) + -4 + sqrt(891) + -2 + sqrt(891))*-4*-2 + -1 + (-2 + 2*sqrt(891) - sqrt(891))*2)**2.\nAnswer: -24336*sqrt(11) + 605020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-709373)\/1953 + 350 - ((-4)\/15)\/((-12)\/(-10)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30997, 61665, 92333, 123001?\n\"Answer: 30668*n + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 13*u**3 - 2*u.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let r(o) = 3 + i*o + 4*o - 1 - 3*o. Give r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i**2 + 40*i + 1. Let m(b) = 5004*b. Calculate c(m(s)).\nAnswer: -450720288*s**2 + 200160*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 1. Let l(a) = a**2 + 6*a + 2. Let v be 1 - 1 - 5\/1. Let z be l(v). Let s be k(z). What is the greatest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 4\/(1 + -3). Suppose k - 2*k + a = 0. List the prime factors of (k\/(-4))\/((-5)\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a. Let o(s) = 20*s. Determine 3*o(y) + 5*t(y).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21447?\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 4 - y - 7 + 2*y**2 - 6. What is the tens digit of t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 6:36 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 5*u - 51 + 83, -v + 14 = u. Calculate the remainder when -3*(-5)\/(-3) - -250 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1337 or -1369?\nAnswer: -1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 35157 (c) -0.018 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32702 (base 11) to base 15.\nAnswer: e0c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72362 - -68092648\/941. Let b = q + -72481\/3764. Find the common denominator of b and -37\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684 plus -27.259346?\nAnswer: 2656.740654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 10178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 43*f**2 + 47*f + 46. Let c be m(44). Factor 90 - 2*w - 123*w**2 - 90 + 57*w**3 + c*w**2.\nAnswer: w*(w + 1)*(57*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-280)\/200 - 24\/(-10). Let i be 72\/18*p\/4. Let q = -4637\/19 - -244. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51857753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52538, -53547, -55228, -57581, -60606, -64303, -68672?\nAnswer: -73713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-21)\/3)*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)\/((-10)\/(-5)). Let y be ((-2)\/5 + 0)*-5. Let i = y + -3. Is i less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 8*w**2 - 44*w - 48.\nAnswer: 4*(w - 3)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2713999 or -2714000?\nAnswer: -2713999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29354517 and 2853?\nAnswer: 2853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, z: 8, w: 4}. Give prob of picking 3 e.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2722, 10901, 24532, 43615?\n\"Answer: 2726*g**2 + g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/360 + t**3\/3 - 4*t**2. Let u(g) be the first derivative of d(g). Let o be (-8 - -8)\/13*(-2)\/(-4). Give u(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29b + -3d5?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 543?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 264036 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-597.\nAnswer: -23.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6758.7 rounded to the nearest integer?\nAnswer: -6759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a - -1?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001047482 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 4*a + 4*a)*(3 - 3 - 2).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13921*l - 14116*l + 28037*l + 9*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -1 - -3) + 25. Suppose 3*u - c + 9 = 24, 4*u - v = 3*c. What is the smallest common multiple of 30\/(((-4)\/2 + u)\/2) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 5. Calculate the remainder when d(4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17450 to the nearest one hundred.\nAnswer: -17500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -59. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/3 (b) 10 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 2 (b) 16 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Let t = 13 - 8. Let w = t - 4. What is the closest to w in 0.1, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2. Let q(c) = -c - 20*c**2 - 11*c + 14*c + 14*c**2. Calculate m(q(o)).\nAnswer: -72*o**4 + 48*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 155 = -67. Suppose 5*p + 28 = 2*a, 0 = 3*p - 6*p + 3*a - 15. What is the remainder when z is divided by 52\/p*(-3)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46768 and 1813?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 w when three letters picked without replacement from {w: 3, z: 9}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 36*z**2 + 2 + 2*z + 0*z)*(-28*z - 200 + 200).\nAnswer: -1008*z**3 - 56*z**2 - 56*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11761, -23449, -35139, -46831, -58525?\n\"Answer: -v**2 - 11685*v - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**3*l + 56187*i**3 - 71*i**2*l + 1828*i + 5*l + 653 wrt i?\nAnswer: 12*i*l + 337122*i - 142*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*d**3 + 111*d**2.\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + (-63)\/(-14)*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 1140?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322)\/294 - 3\/(-7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220897949?\nAnswer: 17, 241, 53917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1792*a**4 - 4*a**3 - 2*a**2 + 2*a + 1438. Let m(j) = -j**4 - 2*j**3 - j**2 + j - 1. Let v(i) = -2*k(i) + 4*m(i). Differentiate v(x) wrt x.\nAnswer: -14352*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 85267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57.21 + -0.79. Let a = o - -58.3. Is a > -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -406*v + 1808. Calculate the remainder when x(3) is divided by 196.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -446142*a**3*i*j**2 - 30*a**3*i*j + 96*a*i*j + a*j + i*j wrt j?\nAnswer: -892284*a**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79995452 to the power of 1\/2, to the nearest integer?\nAnswer: 8944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 + (6 - 4 - 3)*(0 - 2 + 3))*(0 + 2*b + 0) + 0 + b + 0 + (1 + 2 - 1)*(b - 3*b + b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8209 divided by 4.\nAnswer: 8209\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -28649.0394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 824954.\nAnswer: 9074494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -889*b**4 - 234902*b**3 + 57282450*b**2?\nAnswer: -21336*b - 1409412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*i*t**3 - 6960*i + 26*t**3 - t**2 - 3*t + 6 with respect to i.\nAnswer: -73*t**3 - 6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - n - 241 = 0, -5*u - 136 = 5*n - 371. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 16*k**3 - 30*k**2 + 16*k + 32.\nAnswer: -2*(k - 1)*(k + 1)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 125314495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.4, -1, 1, 2, 682, 42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 107660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490248898886417 + 0.5.\nAnswer: -490248898886416.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -8. Suppose -65 = 2*j - 6*j + 3*c, -j - c + 11 = f. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106301703.\nAnswer: 3, 37, 239, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0575*36.6\nAnswer: 2.1045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 6*l**2 - 9*l + 46. Let v be x(4). Let z(d) = 16*d + 1. Let h(q) = -3*q. Determine v*h(t) - 4*z(t).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 270717056.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 21*c**2 - 4. Let l be r(-21). What is the second smallest value in -3\/8, 11, 6, l?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (8 - 17) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 12 (c) 2\/155 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(2 + 1 + 2) + 3 + 1 + 8)*(-w + 4 - 11 + 4).\nAnswer: -2*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:29 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + t - 30 = -3*t - 5*m + 3, -2 + 16 = 4*m - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2842024.85 to the nearest 100000.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 1. What are the prime factors of (-16)\/12*-73 + a\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 142?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*s**3 - 2*s**2 - 54*s**4 + 28*s**4 + 2*s + 24*s**4 + 2 to the form f*s + g + p*s**4 + o*s**2 + m*s**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (183*n**2 - 21*n**2 + 49*n**2)*(3 - 5 + 1)*(-3 + 0 + 8) + 32*n + 27*n + 7*n**2 - 61*n to the form h*n**2 + g*n + l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -866 and 450.\nAnswer: -389700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*b - 1157*b**2 - 274*b + (3*b + 3*b - 3*b + (b + b + 0*b)*(-2 + 1 + 3))*(-3*b + 3 - 3).\nAnswer: -1178*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*m)*(-19 + 5 + 45) in the form w*m + h and give w.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/10)\/k)\/(k\/k**(1\/3)*k)*(k**(-2\/3))**(-23) assuming k is positive.\nAnswer: k**(407\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/18703?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181, 2364, 3547, 4730, 5913, 7096?\nAnswer: 8279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 - 2*q**2 + 8*q + 16. Let j be g(-2). Solve -2*c = -2*t - 2*t + j, -2 = t + c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1876785, 1876795, 1876811, 1876833, 1876861?\n\"Answer: 3*y**2 + y + 1876781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00534966659 rounded to five decimal places?\nAnswer: 0.00535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {q: 4, o: 3, p: 6}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4531056 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.31922 weeks?\nAnswer: 3217064256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 622 + -1046. Let j = 351 + p. Put 0.3, j, -5, -0.2 in increasing order.\nAnswer: j, -5, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*m = -3*m + 105, 3*b = 2*m + 75. Solve b*f = 24*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458 a factor of 4446900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055272.05 microseconds in days?\nAnswer: 0.000012213796875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 37*j + 29*j + 59*j - 9*j.\nAnswer: 127*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 216652585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8548 + 10312. Calculate the greatest common factor of 1260 and j.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 444 and 1432.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*f + 9 = 0, 6*t - 5*t = 2*f + 5. Suppose t*o - 11 - 19 = 0. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -8*f - f. Let l = f - 17. Let n = l + -18. Calculate the common denominator of n and 43\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*r + 19*r + 22*r)*(-2*r - r**2 - 1 + 1 + 2) as d*r + h*r**2 + n + b*r**3 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a decade in years?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.70018 rounded to zero decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 bigger than -185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g + g. Suppose 0 = m + g*m. Suppose -d + m = -3. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -715596, -1431183, -2146758, -2862315, -3577848, -4293351?\n\"Answer: k**3 - 715594*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Let r(x) = 2*x**2 - 2*x + 1. Let k be r(p). Let i be (1 + k)*(-2)\/4. Which is the closest to i? (a) -4\/5 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843 and 4?\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 20 = -0*s - 5*m, -2*s = -3*m - 11. Let g(v) = -3*v - 2 + v**2 - 3 - s - 2*v**2. What is g(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97d (base 14) to base 6\nAnswer: -12403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*24\/224)\/((-12)\/(-16)*4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8828 or -8826?\nAnswer: -8826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39701, 39700, 39699, 39698, 39697?\n\"Answer: -f + 39702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 - -5. Let m = -0.6 + s. Which is the second biggest value? (a) -2 (b) 1\/8 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1))**(-5\/11))**(1\/10) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 847 - 851. Put n, -1, -3, 4 in descending order.\nAnswer: 4, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**5*m**3 - 75159*i**5*m - i**2*m**3 + i**2*m - 2*i**2 + 878*i*m**3 + 3*m**2 + 4*m wrt i?\nAnswer: 540*i**2*m**3 - 4509540*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1200)\/(-12)*2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(726)*4 + (3*sqrt(96) - sqrt(96)) + sqrt(96))\/(sqrt(243)*-1*6 + -5*(sqrt(243)*-1 + sqrt(243))).\nAnswer: -28*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -30. Let t be ((-32000)\/g)\/((-58)\/20735). What is t rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*r + 2*p, -3564*r + 4*p - 18 = -3566*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.1 + 107. Let m = 0.2 - -0.3. Let n(p) = p**2 + 9*p + 13. Let k be n(-8). Sort i, k, m in ascending order.\nAnswer: i, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 - 181*k + 8895. Determine i(-64).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486164*v**2 + 172*v + 172*v - 344*v - 151715*v**2.\nAnswer: -637879*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 13*r + 14. Suppose -28*v + 36 = -31*v. Let l be h(v). Let j = -3 - -3. Solve j = -a + 4, i - l*i = -2*a + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 5 + 21 + -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367 (base 10) to base 16.\nAnswer: 16f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 313 + 319 = -3*w, 3*w = -q + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. Let g(m) = m**3 + 3*m**2 + m + 1. Let f be g(b). Suppose f*z - 17644497 = 4855503. Round z to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.63 - -1.06. Let s = z - 0.13. What is the nearest to 2 in -1\/2, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**2 - 2*m - 4. Let w(q) = q**2 + 3. Determine h(x) + 5*w(x).\nAnswer: -5*x**2 - 2*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - 56. Let s = a + 129. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 0.24. Let i = g + 0.2573. What is i rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -j + 3, 13*j - 14*j = -3*f + 13. Let m be 9\/(-18) + (-6)\/f + 4. Let 4\/3*n + 1\/3*n**m - 5\/3 = 0. Calculate n.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31821, 33478, 35137, 36798, 38461?\n\"Answer: k**2 + 1654*k + 30166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 90*q**2 + 145*q - 240 = 0. Calculate q.\nAnswer: -16, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/243861 and 12\/4553?\nAnswer: 38286177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 - (16 - (5 - -4)). Solve -2*v = -3*l - 21, -2*l + 5*l - a = -3*v for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.007438 minutes in milliseconds?\nAnswer: 120446.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1214 - 840. What is the highest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 374629, 374552, 374423, 374242, 374009, 373724, 373387?\n\"Answer: -26*w**2 + w + 374654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4 + 120*g**6 - 245*g**6 + 23*g**2 + 114*g**6 wrt g?\nAnswer: -1320*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -7*h**5\/20 + h**3\/6 + 2*h**2. Determine x(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.317684 millimeters in micrometers?\nAnswer: 8317.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/22678 and 55\/522.\nAnswer: 204102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.988 + -0.688. Which is the second biggest value? (a) 2 (b) f (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75883\/44814 + -5\/1358. Let z = d - -15\/11. Suppose 2*y + 0 - 2 = 0. What is the third biggest value in y, z, 25?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198756?\nAnswer: 2, 3, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/30 - b**4\/24 + b**3\/3 - 181*b**2. Let f(h) = -3*h**2 + 2*h - 2. Calculate -3*f(p) - 4*m(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1867.4 + 2057.8. Round n to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 5 + 16*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 50, -2\/11 in descending order.\nAnswer: 50, 11, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.581 + 42?\nAnswer: 40.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3293948.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5782165 to the power of 1\/2, to the nearest integer?\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 6. Let i = -15 + k. Suppose -4*m - 20 = 0, i*m + m + 30 = 3*c. Calculate the remainder when 7 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13586, -13582, -13578, -13574?\n\"Answer: 4*y - 13590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1299840008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(((-27)\/(-6))\/9). Solve o = -o - j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(1\/7)\/k))\/k)**(22\/7)*(k**1)**(-15\/2) assuming k is positive.\nAnswer: k**(-471\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/9 and 120\/18*(-38)\/144*-1?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*(-420)\/70*4\/30.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -0*p + 2*s + 37, -2*s = 4*p - 40. Suppose 2*q = q + p. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12 + (3 - 17) + (-162 - -93).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (-96 + 48 - -54)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -197, -402, -803, -1466, -2457?\n\"Answer: -11*s**3 + s**2 - s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 5392*i - 5396.\nAnswer: 4*(i - 1)*(i + 1349)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + f**4 + f**4 + (-3 - f + 3)*(8 + 0 - 1)*(2*f**3 - 3*f**3 + 3*f**3).\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*q + 2112 = -16*q. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1218 - -1630. What is the highest common divisor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 18*g**2 + 7*g - 11. Let t be r(-13). Let l = -439 - t. Suppose 12*o + l = 16*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 5*f + 28, 5*a - 1067*f = -1064*f + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106068246?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 6*j**3 + 4*j**2 - 4*j + 4. Let t(c) = -5*c**3 - 3*c**2 + 3*c - 3. Let p = 1 - -2. Determine p*z(l) + 4*t(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11 + (40\/12 - -8). Let y = 1.3 - 0.5. Which is the second biggest value? (a) n (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(91)*-3*-6 - sqrt(91)) + sqrt(91)))\/(sqrt(28)\/((sqrt(168)\/sqrt(6))\/sqrt(7))).\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2135644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 + 35*d - 86. What is the thousands digit of s(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6 - 1353\/(-18)*62 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*s - 10, 12 = -2*s - s. Suppose -5*q + 26 = -0*q - f*p, 4*q = -5*p + 34. Suppose 0 = -q*l + 4*l + 24. Solve -c = -4*c + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 2, i: 3, b: 6, d: 2}. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t + t**4 - 3*t**3 + 2 + 0*t - 2*t as g + h*t**3 + r*t**2 + x*t + n*t**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 380830639 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5*60\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 925523 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*h + 12 = 0, -w - 1 = -2*h + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -282*j**3\/7 + 10148*j**2\/7 + 179778*j\/7 + 364 = 0.\nAnswer: -13, -2\/141, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662136125 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 - 7*f + f**5 + 35 + (2*f**3 - 4*f**3 + 0*f**3)*(3*f**2 + 3*f**2 - 4*f**2) - f**5 + 4 - 4.\nAnswer: -4*f**5 - 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/(-42)*(-192)\/25920. Do 1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 + 40 = -h. Let k = 5.1 + -2.1. What is the fourth biggest value in k, h, 2, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000425880925 to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 - 13*q + 3. Does 15 divide t(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12796.5 + 12797. Sort m, 147, 2.\nAnswer: m, 2, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4043763 and 14792?\nAnswer: 1849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -38*p + 3. Let l(t) = -15*t + 97. Let n be l(7). What is the units digit of g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -13*s**5\/60 - 25*s**4\/24 - 91*s**3 - 318*s**2 + 1. What is the first derivative of l(b) wrt b?\nAnswer: -26*b - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + (sqrt(114)\/sqrt(2))\/sqrt(3) + (((sqrt(76) - 2*sqrt(76))*2)\/(sqrt(32)\/sqrt(72)))**2.\nAnswer: sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + t - 348 = 0, b + b = 2*t + 132. Let g = b - -47. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -11)*6*3. Let p be 30*(4\/(-18))\/((-12)\/w). Suppose c = -c + 140. Calculate the highest common factor of c and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 2*h + 12. Let r be b(0). Differentiate -31*k**2 - 87 - r + 44 with respect to k.\nAnswer: -62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, -60, -676?\nAnswer: -1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.315*49574\nAnswer: -15615.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 1 (c) 1\/2 (d) 419 (e) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssl when three letters picked without replacement from {s: 2, c: 2, l: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*i - 2*i + i**2 - 3*i**2 - 4*i to k*i + o + l*i**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152928 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 97, 31, 6, -2 in increasing order.\nAnswer: -2, 5, 6, 31, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34531593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 53) - (-30 - (50 + (-32 - 35)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -94667 divided by -691\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202231101301 (base 4) to base 2.\nAnswer: 100010101101010001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 286.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + g = 3*d - 18, 3*d + 2*g = 42 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 - 7*g - 6. Let m be p(-6). Suppose c + 2*c - 12 = m. Solve -5 = -c*h + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8597, 8616, 8641, 8666, 8685?\nAnswer: 8692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 6:07 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6431*a**3*v**3 - 179*a**3 + 6*a**2*v**2 + 2*a*v - 2*v**2 wrt v?\nAnswer: 38586*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 179*o**2 - 4*o - 3. Let v(c) = 2500*c**2 - 55*c - 40. What is 55*p(u) - 4*v(u)?\nAnswer: -155*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47779319561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 + 36. Let g = 57 + c. What is the second smallest value in g, -4, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2)*z**36*z assuming z is positive.\nAnswer: z**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {o: 3, t: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 + 107 + 79*s - 209)*(4 + 2 - 5 + (1 + 1 + 0)*(0 - 3 + 1)).\nAnswer: -237*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 5*h - 65, -h - 21 = -2*y. Solve w - y = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4837 divide 1238853202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*c + 4*q, -1302*c + 1299*c - 5*q = 33. Is c greater than -4\/619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 14042*b**2 - 28090*b - 14046.\nAnswer: 2*(b - 7023)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or -7666?\nAnswer: -7666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 - 2*w + 1. Let l be u(-3). Let q = -8 - l. Suppose -q*d + 4 = -8. Is d at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**5*q**(2\/3)\/q*q)\/(q*q\/q**(2\/5))**(-21))\/(((q**(-5)\/q)\/q**(-1))\/((q**(2\/7)*q)\/q)**14) assuming q is positive.\nAnswer: q**(724\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 101249 and 801443.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -41*i**2 - 5*i + 1. Let s(k) = -34*k**2 - 4*k + 1. Let a(f) = 5*o(f) - 6*s(f). Let r(v) = 8*v**2 - 8*v - 8. What is 8*a(m) - r(m)?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7805 and 10430.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*c + i + 7, -3*c + i + 8 = 0. Suppose 4*o - c*y = 103, 0*y = 4*o - 5*y - 105. Let z = o - 17. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 4:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2976756407 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -1 + 11. Let w(n) be the first derivative of n**3 + 7*n**2\/2 - 7*n - 2. Let f(h) = -h**2 - 2*h + 2. Give x*w(p) - 7*f(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 3*d + 0*d + (1 + 11 + 9)*(d - 4*d + 4*d))*(7*d**2 + 2 - 2).\nAnswer: 140*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27020*d - 51 - 8534*d + 102 + 8816*d - 51)*(-d - d + d).\nAnswer: 26738*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - y + 59 + 16, -3*j + 4*y + 129 = 0. Calculate the greatest common factor of 216 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 - -101. Let c be (0 - 1\/(-8))*2. Let m = -2.3 + 2.1. Put u, c, m in descending order.\nAnswer: c, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**18*n)**(5\/9) assuming n is positive.\nAnswer: n**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 2752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of k**4\/6 - k**3\/3 - 21*k**2 - 2*k. Let z(n) = -2*n**2. Determine c(z(s)).\nAnswer: -8*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 73434067 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 4*r**2 + 2*r + 2. Let d be z(-2). Let a be (-2)\/d*(-124)\/(-4). Suppose 4*l - 124 = -5*k - 26, -l = -2*k - a. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.814841 centimeters?\nAnswer: 78148.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 398 - 34*r - 239 + 33*r to the form y*r + a and give a.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 46. Suppose -4*p + 5*b + 31 = m, -24 = -5*p + b + 20. Calculate the greatest common divisor of p and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.337 - -0.027. Let m = -12.31 - t. Let o = m - -12.0000068. Round o to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 18710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2144*t**3 - t**2 + 5*t + 4. Does 17 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 1 = 25*i + 2*d + 9, -25*i - 28*d = -22*d + 200 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, t: 2, k: 2, x: 1}. Give prob of sequence xxtf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26399, 26369, 26325, 26267, 26195, 26109?\n\"Answer: -7*m**2 - 9*m + 26415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*l - 30 + 28 = 0, 3*l = -4*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 f, and 1 u when three letters picked without replacement from xfuzzzzzzfxzzzxz.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 8*l = 8. Suppose z + 4*s = 39 + 15, 3*z - l*s = 146. Is 25 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*w - 127*w + 12. Suppose 22 = k - 0*k + w*q, 73 = 3*k + 2*q. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 - 2*b + 2. Let g = 28 + -28. Let f(k) = 2*k - 15*k**2 - 1 - k + 14*k**2 + g*k. Calculate -2*f(a) - z(a).\nAnswer: a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 85 = -v, 3*v - 372 = -v - 4*w. Let u = -53 + v. Suppose 0*y - i + 49 = 2*y, 2*y - 29 = 3*i. Calculate the remainder when u is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88930?\nAnswer: 2, 5, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 65 - 186. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 2*j**4 + j**2 + 2 - 4 - 9*j**3 + 3*j**3 in the form s*j**4 + l*j**3 + q + p*j**2 + z*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 67.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72.3 + -72.7. What is the closest to -1\/2 in h, 74, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -135. Suppose -t = 5*p + 4*b - 7, -5*b = -p - 9. Are p and -15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/120*-8 + (-46)\/(-10). Suppose x*l = -171 + 196. Calculate the greatest common factor of l and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 12 = 5*s. Factor 13*a - 22*a + s*a + 9*a + 3*a**2.\nAnswer: 3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 9*j = 28. Solve j*o + o - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 15658?\nAnswer: 360134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -1\/3 (c) 1\/10 (d) 7\/4 (e) -3 (f) 6\/3323 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**3 + 5*k**4 + 2*k + 2*k**2 - 11*k**3 + 1762 - 1763 as q*k + t*k**3 + m*k**2 + b + n*k**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1\/((-3 - -7) + 188971\/(-47243))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from {f: 6, i: 4, b: 7}.\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 17\/3 - (-6)\/18. Let q(a) = -a**2 + 9*a - 9. Let j be q(u). Let g = j + 24. Calculate the remainder when 130 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 22*q**2 + 126*q - 33. Let p be b(10). Suppose -5*n - 5*a - 35 = -2*n, 5*n - 5*a + 85 = 0. Let f = p - n. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in -0.4, -5, -1\/5, -43?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -62567, -62568, -62569, -62570, -62571, -62572?\n\"Answer: -z - 62566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 615527056 and 45928?\nAnswer: 615527056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -29\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 7}. Give prob of sequence rrer.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*(sqrt(24) + sqrt(384)*2))\/((sqrt(1200) + sqrt(1200)*-2)*-5).\nAnswer: -5 - 9*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-188)\/6 - (-6)\/(-9). Let w be (z\/(-24))\/((-4)\/6). Suppose -2*i = d + 5, -4*i - 12 = 4*d - 0*i. Sort w, d, 2.\nAnswer: w, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2520 and 1683864.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*g - 16488 = -522*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2575, -2527, -2479, -2431, -2383?\nAnswer: -2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/60 - z**5\/30 - z**4\/12 + z**3\/3 + 7*z**2. Factor j(v).\nAnswer: 2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.000709662642 - -1.\nAnswer: 1.000709662642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 812 and 350378.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 858375 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 2*q**2 + 0*q**2)*(40*q - 12*q + q) + (5 + 1 + 1)*(-4*q**3 + q**3 + 4*q**3).\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71030 is divided by 88.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 - 4*o - 6. Let f(n) = n**2 - 17*n + 25. Let c be f(2). Let g(j) = -6*j**2 - 5*j - 7. Calculate c*w(q) + 4*g(q).\nAnswer: 6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 - -57. Let u = -15 - -10. Which is the nearest to z? (a) 0.1 (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3291, 26320, 88767, 210342, 410755, 709716?\nAnswer: 1126935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 0) + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 9.133\nAnswer: -36.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 21 = 4*k. Let v(g) = g**2 - 6*g + 6. Let l be v(k). Let y = l - 7. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 0. Let p = -0.4 + y. Let o = p + -5.599913. Round o to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 7*p + 7*p**2 + 8*p.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7 + 38*d + 28*d - 89*d + 28*d. Give h(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1349633 and 33221.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14464*j*q**4 - 704*j*q**2 + 45*j wrt q?\nAnswer: -347136*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6661 - 110?\nAnswer: 6551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 5*o - 8, -5*o + 16 = m - 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 18*d**2 + 31*d + 21. Let i be u(16). Suppose -2 = -2*n + 2. Which is greater: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*l = -18, -127*y = -132*y + l + 101. Suppose 13 = -3*u + 19. Factor -8*g**u + 50\/3*g**5 + 0 - 22\/3*g**3 + y*g**4 + 8\/3*g.\nAnswer: 2*g*(g + 1)**2*(5*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 1\/4 (b) 29 (c) -2 (d) -1.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.1 (b) -4 (c) 1 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, -6, -92942?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcqnz. Give prob of picking 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206490964 by 2.\nAnswer: -103245482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1916)\/(-30) - (-30)\/225)*1. What is the second derivative of -53 + 150 - 48 - l + k*l**4 - 47 - 2*l wrt l?\nAnswer: 768*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:50 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/(-4 + 45\/24). Suppose 3*o - 8 = 1. Suppose o*h - 7 = -10. Is c at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 322.\nAnswer: 18\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4441442 and 920334?\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quvvvjuvijkqvjvqqv. What is prob of picking 1 k and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/111 and -21\/5.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-14) + 114\/(-21). Let q(l) = -l**2 - 3*l + 1. Give q(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 3*i - 2 + 2 + 2*i + (-3 + 3 + 2)*(-i + 2*i - 3*i) - 2*i - 2*i + i)*(3 + 3 - 4)*(1 - 3 - 1).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(55)\/(sqrt(22)\/sqrt(2))) - (-1 + (0 + sqrt(5) + 1)**2)) + -4.\nAnswer: -9 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0162196 rounded to 4 dps?\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4099890 by -2049945.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 56*x - 55*x - 54*x + 219*x - 56*x.\nAnswer: -2*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 19*p**3 - 2*p + 2. Let i(m) = 20*m**3 - 3*m + 1. Let y(s) = 2*i(s) - 3*w(s). What is the derivative of y(j) wrt j?\nAnswer: -51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104.83 and -35.\nAnswer: -3669.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -20*p**2 - 23*p - 23. Suppose -4*d = -6*d - 12. Let a(c) be the first derivative of -7*c**3\/3 - 4*c**2 - 8*c + 1. Calculate d*g(v) + 17*a(v).\nAnswer: v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 16, -3*j + j + 16 = 3*s. Let -r**3 - 8*r**2 - 2*r**j + 2*r**2 - 3*r**3 - 4*r = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z**3*z*z)\/(z\/z**11) assuming z is positive.\nAnswer: z**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 19 = 5*i, -6*q = -2*q - 5*i - 176. Let k be ((-9)\/(-10))\/3*(-52)\/q. Which is the closest to 0? (a) 14 (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3000)\/(-36)*(-17)\/(-4). Let u = j - 354. Which is the closest to 0.2? (a) u (b) 2\/3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1036 * -51\nAnswer: -52836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -507, -519?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 9) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000047172966 rounded to six dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3136937 is divided by 16865.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 23. Let l be f(10). Suppose -l*t + 32659665 = 3559665. Round t to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-2 - 0) + -1). Let v(d) = 3*d + 4. Let n be v(t). Which is bigger: n or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(9 + 1 + 10)*(-34*n + 34*n - 5*n**2).\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092610794 rounded to four dps?\nAnswer: -0.0093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, w: 2, x: 1, v: 4}. What is prob of picking 1 i and 1 r?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31043 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-29)\/5 + 5\/(-25). Let n(r) be the second derivative of r**4\/12 + r**2\/2 + 4*r. Is n(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 14 = 3*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20222 + 32396. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005525748 to six dps.\nAnswer: -0.000553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 5*c + 6. Let g(f) = -2*f**3 + 6*f - 5. Give -6*g(l) - 5*z(l).\nAnswer: 2*l**3 - 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4415 (base 12) to base 9.\nAnswer: -11258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1092, 2\/5, -0.01, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2567\/1541 + 2\/67. Which is bigger: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272.6 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**4 - 4 + 4)*(0*i - 3*i + i + (i + i + i)*(2 + 0 - 3)).\nAnswer: -30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = 3*a - 31, -5*a + 57 = 2*s. Suppose 2*f - s = -4*z, 4*z - 16 = 4*f - 0*z. Differentiate f*q**2 - 3*q**2 + 2 - 1 + 0 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 5, 0 in decreasing order.\nAnswer: 5, 0, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-81)*-3*(24\/(-10))\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 2*s + 77\/2.\nAnswer: -(s - 11)*(s + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.7958 seconds in milliseconds?\nAnswer: 293795.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-7)*180\/(660\/33).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -102. What is the second smallest value in 1\/6, -7.7, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19851, -19627, -19267, -18771?\n\"Answer: 68*j**2 + 20*j - 19939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/405*(-3)\/(-2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyb when three letters picked without replacement from yggoyoooggogyob.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -23*l**2 - 23*l + 16. Let c(b) = 8*b**2 + 8*b - 5. Give -17*c(g) - 6*x(g).\nAnswer: 2*g**2 + 2*g - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7349733?\nAnswer: 3, 83, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 - 13*x + 31. Let d be y(7). Which is bigger: d or -3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 5*d - 29, 382*h - 379*h - 7*d = -58 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2695, -5235, -7751, -10243, -12711?\nAnswer: -15155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*d - 18 = 1092 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*c - 50*c + 37*c as r*c + y and give r.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000139853069 rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106 (base 12) in base 6?\nAnswer: 24410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 24750 = -2*o, -39*x - 37120 = -3*o - 40*x. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 2)*(6889*h**2 + 133*h**3 - 6889*h**2)*(-5 - 5 + 3) to k + x*h**2 + q*h + m*h**3 and give m.\nAnswer: 3724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -o - 54, 3*w - 33 - 9 = 3*o. What is the lowest common multiple of 6 and 68\/5 - (-4)\/w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and 33545.8.\nAnswer: -36900.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - (-9 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6 - 2 + 3*f**3 - f - 5*f**2 + 5. Let y be k(3). Calculate the greatest common divisor of y and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7018 = -5*t - 6*l + 2*l, 0 = -5*t - l + 7012. Let h = -9804\/7 + t. Factor 16\/7*a**2 + 2\/7*a**4 - 8\/7*a + 0 - h*a**3.\nAnswer: 2*a*(a - 2)**2*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21473.8 from 12.07856.\nAnswer: 21485.87856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*p = -200*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -71, 3, 129, 313, 561?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30595, 30593, 30591, 30589, 30587?\n\"Answer: -2*r + 30597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -344.4 - -344.5. What is the biggest value in -0.5, a, -58, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:30 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -327 - -351. Let f be -7*4\/w + (-1)\/(-2). What is the smallest value in -4\/5, -0.5, f, 3\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 24876*g + 18416960.\nAnswer: 4*(g - 5360)*(g - 859)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 - 190. What is the smallest common multiple of n and 22?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00098415755 rounded to 6 dps?\nAnswer: 0.000984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 8*s + 3. What is the least common multiple of l(-7) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05069 * 0.1.\nAnswer: 0.005069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*497\/1207*-34?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:36 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15174682 to 3 dps.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 18. Calculate the least common multiple of 10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 1:18 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113264*d = -113271*d + 175 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -83 (b) -0.599 (c) -36 (d) -4 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u**2 + 5*u**2 - 5*u**2)*(-3*u**2 + 2*u - 2*u) + 104 + 54*u**4 - 104)*(u + 0*u + 0*u).\nAnswer: 60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2719624 or -2719633?\nAnswer: -2719624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/119)*a*a**(-3\/14)*a**41*(a\/(a*a**(-11\/2))*a*a)\/a assuming a is positive.\nAnswer: a**(5748\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.799943 - -7.8. Round u to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 0) + 7 + -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*d**2 + 979*d + 4*d**2 - 989*d)*(-2 - 1 + d + 1) + (3*d - 3*d + d**2)*(0 + 0 - d) in the form p + o*d**3 + b*d**2 + z*d and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0 - 6\/(-15). Let k = 22 - 23.3. Let t = k - -1.5. What is the closest to g in t, 1, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(399\/63)*10\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 684*w*z**4 + 1966140*w*z - 14*z**5 + 13*z**3 wrt z?\nAnswer: 8208*w*z**2 - 280*z**3 + 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -24. Suppose -y = y - l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2 - s + 2. Let l = 8 - 5. Suppose l*v - 2*k + 11 = 0, v = -v + k - 6. Let i = -3 - v. Calculate o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q + h - 13, -15 = -4*q + h. Let s be 12*(3 - 10\/q). Solve a - s*a - 15 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:34 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k - 18. Calculate g(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 22*z**2 + 3*z + 51. Let o be m(-22). Is (-3310)\/o*12\/(-16)*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1102)\/1653*57\/2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 18, -0.5, 4661?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 2715\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 82 = 14*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2. Let v = 999 + 136. Let s(l) = -v + 2276 - 1141 - 39*l. What is g(s(o))?\nAnswer: -7605*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 19. Let t(s) = -s**2 + 38*s - 144. Let x be t(34). Determine c(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 59.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.9 - -5.1. What is the closest to -2 in -4, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 182510857 to the power of 1\/3, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7600 - 30862 = -508*p - 6458 for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4292 (base 10) in base 9?\nAnswer: -5788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032.18um in kilometers?\nAnswer: 0.00000403218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 581*g**4 + 133496*g**2 - 176062694 with respect to g.\nAnswer: 2324*g**3 + 266992*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 - 8*k**3 + 17*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (-2 + (-2 - -2)). Suppose 24*y = -30*y - 181*y + 940. Sort g, 9, y.\nAnswer: g, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h + 4 + 7*h + 2 - 24*h. What is the units digit of s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - 4*o - 6. Let r(m) = -9*m**2 - 8*m - 11. Let y(n) = -5*g(n) + 3*r(n). Let d(i) = -7*i**2 + 9*i + 6. Determine 2*d(a) + 5*y(a).\nAnswer: a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, p: 7, w: 2}. Give prob of sequence pp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -l - 3, 3*g + 3 = 2*l + 2*l. Let h(q) = -q**2 + 5*q - 5. Let n be h(4). Sort n, -2, l in descending order.\nAnswer: l, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let k(z) = -3347654*z. What is q(k(g))?\nAnswer: -22413574607432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720298537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -o + 16. Suppose 4*f - o = -0*f. Let g = f - 1. Is g at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-1)\/(-6)*-6. Suppose z*j - 938 = -4*t, -2*j = j + 3*t - 942. Suppose -4*r + j = 3*p, -5*r + 386 = 3*p - 5*p. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 3*v + 5 + 6, 3*d - 3 = -5*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8062 is divided by 1612.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2744 + 1?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 500196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**20\/o*o)\/o**(-34) assuming o is positive.\nAnswer: o**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/17 + 982520*f\/17 - 120668193800\/17 = 0. What is f?\nAnswer: 245630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose 5*t = -i*c - 0 + 35, 2*t = 4*c + 38. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 818 divide 151841200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -812632+730169\nAnswer: -82463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r + 16*r)*(0*r**2 + 0*r**2 + r**2 + 4 + 2*r**2 - 4 + (-1 + 0 - 1)*(r**2 + r**2 - 4*r**2)).\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6176 divided by -4\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.21, -0.92, -44, 0?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 320 + -64. Suppose 0 = -4*u + 4*q + a, 5*q = -2*u + 33 + 67. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 - -23 - ((-2)\/(-31) - 6*(-1108)\/744)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 16. What is the common denominator of ((-19)\/4)\/((-1)\/z) and -29\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 110*y + 965. Let i be l(44). Suppose -24 = 2*m - 20. Put m, -8, i, 5 in decreasing order.\nAnswer: 5, m, i, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31226 and 18341672?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + 5*w**3\/6 + 3*w**2\/2 - 13*w. Let t be f(-3). What is the units digit of 48 + (-5 - t)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 16. Suppose 5*k = 25, -5*t + 3*k + 0*k = -10. Let d be g(t). Suppose 8 = d*z + 4*s - 3*s, 4*z - 3*s = -8. Solve z = 5*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6020, -11831, -17642?\n\"Answer: -5811*q - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137 - -186. Suppose 9*a = 51 + 66. Calculate the remainder when t is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:05 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + -3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 11*l + 3. Let g be b(-9). Find the second derivative of 6*v**4 + g - 147 - 5*v wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 1434*c**2 + 3*c - 2. Let z be u(-2). Let i = z + -4057. Let g = -388 + i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -422 - -417. Let f(u) = u**3 + 6*u**2 + 18*u + 69. Determine f(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 48. Let j = -29\/65 - -3\/65. Is v smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**2 + 2*c**2 - 6*c**2. Let v(h) = 12*h - 14. Let q(d) = 5*d - 6. Let r(s) = -7*q(s) + 3*v(s). What is r(u(g))?\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 256672?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -13*j**3\/6 + j**2 - 3*j. Let r be n(-6). Let d = 115 - r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1836)\/(-15606))\/(7\/(-17)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 34300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fwwf when four letters picked without replacement from {f: 16, w: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 308557 = 3*x, 1340708 = 4*n + 4*x + 106416. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 6496.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*r + 2 = 10, -8 = 2*d - 4*r. Sort -3, d, 14 in ascending order.\nAnswer: d, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i. Suppose 0 = 5*n - 26 - 4. Let o(d) = d + 2*d + 2 - 3*d**2 + n*d**3 - d**3 - 2*d**3. Let h(w) = -o(w) + 3*x(w). Differentiate h(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16637 times -5?\nAnswer: 83185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 35*c**2 + 91*c + 25. Is g(-32) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2051, 2055, 2059, 2063?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 1. Let b(a) = a. Let s(n) = -10*b(n) + 4*m(n). Give s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c + 4. Give o(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(4 - 7\/3 - 2). Solve 0 = -3*d + 5*q + 10, -a*q = -0*q + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Let r(f) = -f - 2 + h*f - 2*f**2 + 3*f**2 + f. What is r(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -2. Let l be (-2)\/10 + (-142)\/(-10). Suppose -k = 5*h - l, -2*h + 6 - o = 2*k. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-169)\/(-52) - (4 - 1) - 579\/(-4)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5643 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpwpt. What is prob of sequence ppq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -430 divided by -2\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 113560, -1 in descending order.\nAnswer: 113560, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0 + w**2 + 0. Let k(c) = -c**2 - c. Let t(b) be the third derivative of -3*b**5\/20 - b**4\/4 - 4*b**2. Let l(s) = -6*k(s) + t(s). What is h(l(i))?\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 9*v**2 - 10*v - 15. Let w be a(8). Suppose 33*s = 28*s + w. What is the remainder when s is divided by 31?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-760)\/8 + (-2)\/(-1). Let h = 97 + j. Solve 2*z = -h - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 0. Let z(o) = -o**2 - 7*o - 5. Let j be z(-5). Suppose 2*q + q - 5*p - 22 = 0, d = j*q + 2*p. Solve -q*m - 6 = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-10))\/(69\/(-506))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + v**2 - 4. Give n(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 7. Let n be a(11). Let l be -1 - (-4)\/1 - 3. Suppose -2*b + 3*m = 74 - 16, b + 3*m + 20 = l. Do n and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -48506*j + 48590*j + 33 - 8 + 12*j**2. Let n be s(-7). Solve -n*a = -30*a + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-8 + 263\/33)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*u - 10, -y - 3*u + 7 = -13 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x + 413*x**3 - x - 7*x**2 - 2*x**4 - 412*x**3 to the form n*x**3 + l*x**4 + d*x + v + j*x**2 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -35. Suppose -y*q + 63 = -117. Suppose 2*o + 57 = v, v + 0*o = o + q. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/5))**(6\/13)*(q\/(q\/(q\/(q*q\/(q*q*(q\/q**(-31)*q*q)\/q*q*q))*q)))\/q*q**(-1\/9) assuming q is positive.\nAnswer: q**(21481\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 577*t + 113 - 288*t - 273*t. Is f(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + m**2)*(1 - 6 - 2 + (-14 - 2 + 5)*(3 - 1 - 1) + 2 - 5 + 2)*(20 - 19 - 31).\nAnswer: 570*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:34 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2137, -3.7, -3.\nAnswer: -2137, -3.7, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 = 5*d - 30, 0 = -d + 4*r + 1. Suppose -2*a = -d*v + 395, 4*v - 190 - 126 = 3*a. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6566 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317407891.\nAnswer: 109, 131, 22229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12 + 2*j - 7 + 10 + 14 - 22. Let u be (1 - 2)*1*5. Give x(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 46*m. Let l be r(-2). Let p = l + 92. Solve -v = 2*o + 5, p = 4*o + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.260572 rounded to 3 decimal places?\nAnswer: 1.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4359625894.3 take away 3?\nAnswer: -4359625897.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37836 or 38004?\nAnswer: 38004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/2)\/(12\/344). Let u = -40 + y. Suppose -3*l = -8*l - 3*t + 116, -u*l + 2*t = -81. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(384))\/((sqrt(4)*1)\/sqrt(2)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-9 - -6 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let m = o - 1. Calculate the common denominator of ((-50)\/(-8))\/(0 + m) and -23\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39661397, -39661398, -39661399?\n\"Answer: -b - 39661396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + x + 12. Suppose -8 = -2*u + 2*p, -3*u - 3*p + 3 = -21. Let q be z(u). Let n be (q\/7)\/((-4)\/28). Solve -2 = 3*l + o, -n = 3*l + o - 4*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*w + 0*m + 11 = -200*w + 6*m, m = 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 4*n**2 - 4*n + 4. Let x(g) = 3*g**3 + 13*g**2 + 13*g - 12. Let w(j) = -8*s(j) - 3*x(j). Let b be 2\/(-2)*-1 + -7. What is w(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 minutes after 3:53 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 16) + 2419\/(-2870)*-14?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**5 + 39282*c**4 - 78560*c**3.\nAnswer: -c**3*(c - 39280)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 9:47 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {k: 2, x: 5, j: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s = 30*s + 28. Suppose 6 - s*n**2 + 6*n**2 - 4*n - 4*n**3 + 8*n - 7*n**2 + 2*n**4 = 0. Calculate n.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:02 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 142, -0.2, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505*6.\nAnswer: -3030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -36a25 (base 15) in base 11?\nAnswer: -10a045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*c + 22 = 0, -11 = -5*c - 1. Suppose -q = 9*n - 41. Suppose -n*g + 441 = 150. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(17\/3))\/((j\/((j\/j**29)\/j)*j)\/j) assuming j is positive.\nAnswer: j**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 17*g - 52. Let t be o(-20). Let z be 2*4\/(-24)*3. Which is the second smallest value? (a) z (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z. Let n(m) = -810*m**2 + 5. What is n(r(a))?\nAnswer: -29160*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 8*r**2 - 21*r - 633. Determine u(11).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**4 - 187748*p - 381211 with respect to p.\nAnswer: 8*p**3 - 187748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 33. Determine p(20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14722076597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4. Let o be 50\/13 + 8\/52. Determine s(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 0) + (-93 - -90)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.988653l in millilitres?\nAnswer: 7988.653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -p - 12, 3*z + 5*p + 4 = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z. Let q(j) = -34296*j. Give p(q(m)).\nAnswer: -102888*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**3*b*n**3 + 6*a**3*n + a**2*b*n**3 + a*b + a*n**2 + 273*b*n**3 wrt n.\nAnswer: -18*a**3*b + 6*a**2*b + 1638*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -443 + 5654*l - 1058*l + 443 as k + j*l and give j.\nAnswer: 4596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -587, -537, -467?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3244, 6505, 9782, 13075?\n\"Answer: 8*u**2 + 3237*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (12 - 18) + (-11 - 2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.167 and 68531.\nAnswer: 68530.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059694452 minus 1748?\nAnswer: -1748.059694452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/2 - 1)\/(1\/2). Let v(h) = 4*h - 27. Let a be v(o). Sort a, -1\/9, 5, 1\/20 in decreasing order.\nAnswer: 5, a, 1\/20, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (202 - 99) + -103 + 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:08 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/5 + 22134*x\/5 = 0. What is x?\nAnswer: 0, 22134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -69256, -0.4, -8, -2\/81 in decreasing order.\nAnswer: -2\/81, -0.4, -8, -69256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - a - 815 = -836, 4*a = -12. Let u(k) be the third derivative of -1\/180*k**6 + 0*k**5 - 8*k**2 + 0*k**3 + 1\/36*k**j + 0*k + 0. Factor u(v).\nAnswer: -2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2)*-5 + 1.\nAnswer: -5*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/4)\/x*(x*x**(-13)\/x)\/x*x**(3\/4)*x*x**13)**(-1\/8) assuming x is positive.\nAnswer: x**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 4, j: 2, e: 6}. Give prob of sequence bj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -160.\nAnswer: 31\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 6:15 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 25\/4*h**3 + 5\/4*h**4 + 0*h + 15\/2*h**2.\nAnswer: 5*h**2*(h + 2)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-210) + 876\/63. Calculate the highest common divisor of 77 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01359 + -36.01359. Sort 0.4, -2\/21, p, -0.4, 6\/5 in increasing order.\nAnswer: p, -0.4, -2\/21, 0.4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/5 (b) 5\/13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -0.11001.\nAnswer: 0.33003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 8\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 990*j - 990*j + 667*j**2 + (0 + 0 + j)*(3*j - 30*j + 0*j).\nAnswer: 640*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 5, z: 12}. What is prob of picking 1 z and 1 d?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*j - 205 + 34*j**3 - 206 + 614 - 202 in the form b + x*j**3 + c*j + i*j**2 and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13177 + -0.138. What is h rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 79. Let q = t + -7. Suppose q*m + 31424 + 12176 = 2*r, -2*r = m + 21800. What is m rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27078 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 7)*(-2 - 4*w + 2) + (0 - 1 - 2)*(-3*w + 4*w - 3*w) + 9*w + 6 - 6.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or -2823264?\nAnswer: -2823264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**3 - 8*r**3 - r**3 - 11*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/((-2)\/15). Let v = d + 2. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.8 - 2.8. Which is the second biggest value? (a) 2 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107982733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -138*d. Let n be z(3). Let i = -2889\/7 - n. What is the common denominator of i and -9\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1128903, -1128848, -1128793, -1128738, -1128683, -1128628?\nAnswer: -1128573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 835*h + 232. Calculate v(278).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-16))\/((-1)\/16). Factor 8*i**3 - 8*i**3 - 276*i - l*i**3 - 44*i + 256 + 68*i**2.\nAnswer: -4*(i - 8)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2277*l - 2272*l = -30 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. Suppose -5 = -4*i - 5*n + 10, 4*n = h*i - 60. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*g - 2076 = 288, -2*g = 0. What is f rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 44*w**2 - 71*w + 37. What is q(11)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.73363l to millilitres.\nAnswer: 15733.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 357\/(-15))*5. Suppose x = -5*s + 459. Suppose 0 = 3*i + t + 3*t - s, -4*i + 48 = -5*t. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 l, and 1 z when four letters picked without replacement from znfnlnnvpnzll?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -64*c**3 - 6*c**2 - 6*c - 1. Is 29 a factor of v(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11361.567 seconds in minutes?\nAnswer: 189.35945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7020479 rounded to the nearest 10000?\nAnswer: -7020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 68*l**2. Let a(j) = -28*j**2. Calculate w(a(s)).\nAnswer: 53312*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(21\/4)*o*o\/o**(2\/53)*o)\/(o**(2\/13)\/o)**(-19) assuming o is positive.\nAnswer: o**(-21675\/2756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of j**7\/2520 + 7*j**6\/720 - j**5\/12 + j**4\/6 + 14*j. Let y(p) be the third derivative of z(p). Calculate y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94190.58 years to decades.\nAnswer: 9419.058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 + 153. Let r be j - (-3 - 2 - -1). Let a(k) = -2*k**2 + 52*k - 183. Let u be a(21). What is the greatest common factor of r and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9044 + -9035.742. Round g to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 14112 - 16326. What are the prime factors of d?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1*1\/3). Solve -3*n = -0 + g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 9. Let a(y) = -y**2 + 2*y + 8. Let j(x) = 4*a(x) + 3*i(x). Give j(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1289, -5273, -15787, -36095, -69461, -119149, -188423?\n\"Answer: -544*n**3 - n**2 - 173*n - 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -21*o + 256. Solve o*g + 25 = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -17*g + 316. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -612 + 612.8. What is the nearest to -0.1 in f, 0, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*q - 3*q = -6, -2*o + 3*q - 6 = 0. Suppose o + 5 = b. Solve -2*a = 2*p + p - 8, -b*a = -5*p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 944385811 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 11:06 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 762 + -680. Calculate the remainder when 324 is divided by a.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 15. Suppose 65*u - 60*u = 90. What is the remainder when x(-16) is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1715\/4 at least as big as -428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*p - 8*p. Let w = -23 + p. Solve w*r + 4 = 4*g - 16, 0 = r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2062*n - 12369. Give x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 133 = 45. Solve -5*i + 0 = 3*a - 7, 4*i - a + t = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4 - 11\/(-4)). Let -7\/5*x - l*x**2 - 2\/5 - 3\/5*x**3 = 0. What is x?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7439 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 38 + 222*c**2 + 2*c - 111*c**2 - 115*c**2 to the form a + q*c**2 + y*c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 0, 1, -12, -44 in decreasing order.\nAnswer: 1, 0, -3, -12, -20, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7070687 minus 168210?\nAnswer: -7238897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 207. Let i(r) = 4*r - n + 210 - 105. What is i(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) -70 (b) 4 (c) -15411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/15 and (640\/576)\/(1\/4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*l + 3*g, 12*g = -4*l + 17*g + 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18 + 4*21\/(-28). Suppose 0 = -0*y - 4*y + 2292. Suppose -y - p = -7*t. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 10*y - 14. Let t be b(-6). Let j be 46*(-14)\/(-20) - 2\/t. What is the greatest common factor of 48 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*z + 75, 9*i + 2225*z - 2215*z = 389 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 - 0.1. Let g = -2086.3427 - -2085.4. Let l = 0.0573 - g. What is the fourth smallest value in -2\/3, l, t, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/2 - (-6)\/4. Suppose 5*m - 2 = 2*f, 3*f = -2*m + 7 + o. Solve 3*c = m*c - 4, -p + c = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11514.31762 to the nearest 10.\nAnswer: -11510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:36 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -852796 smaller than -852798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*c - 1160, 3*y = -4*c - c + 3484. Suppose 73*v + y = 75*v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 681 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 37 - 2 = 4*l - 80*o - 7, -o = -3*l + 34 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 86 + -31381?\nAnswer: -31284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60850 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3.3. Let r = p + -2.7. Put 1\/7, -7\/9, r in ascending order.\nAnswer: r, -7\/9, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j - 7*j - 5*j. Let o(y) = y. Let q(d) = 2*d**3 - d**2 + 2*d - 1. Let r be q(1). Let p = r + -4. What is p*m(c) - 6*o(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/18*249 + 4. Let i = -66 + a. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2900.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 154*a + 677. Calculate p(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaggcppcg. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooobb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**6\/120 - m**5\/10 - m**4\/3 - 5*m**3\/6 - 2*m**2. What is l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 41, -277, -1 in descending order.\nAnswer: 41, 3, -1, -2, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15880488 divided by -8852\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 = -17. Let w be ((-9)\/n)\/((-1)\/12). Suppose 0 = -k + 2 + 3, -c + 41 = k. Calculate the highest common divisor of w and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 18. Let n(b) = -b - 2. Give n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106509, -212915, -319323, -425733, -532145, -638559, -744975?\nAnswer: -851393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**9\/5040 - y**6\/240 + y**4\/4 - y. Let c(s) be the third derivative of l(s). Find the second derivative of c(r) wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4 + 2*d + d**2 - 3*d + 5*d. Let w be (-5)\/((-15)\/(-24)) + 4. Give y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*z - 170, 172 = 4*y - 3*z + 7. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*s**2 + 824*s - 824*s - 3 + 3 + 2*s**2 + (1 - 1 + 2*s)*(0 + s + 0) - 5 - 3*s**2 + 5 in the form j + o*s + k*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114309 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**3 + 187*o**2\/2 - 31*o + 333. Let b be f(31). Factor -1\/5*w**2 + 3\/5*w + b.\nAnswer: -w*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, 291, 5 in decreasing order.\nAnswer: 291, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pswp when four letters picked without replacement from wpskp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1004063600 + -11?\nAnswer: 1004063556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**2 - 1384376*j - 1384380 = 0.\nAnswer: -1, 346095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 2.8. Let t = -0.08 + 14.08. Let u = -14.4 + t. Which is the closest to 0.3? (a) j (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 75 = -5*n, m = -214*n + 213*n + 17 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 420608 + -4?\nAnswer: 420604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 + 8*x**2 - 8*x**2.\nAnswer: -58*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Find the second derivative of 3*z + z - z**a + 5*z**5 wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {q: 6, w: 4, s: 6, k: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/10 - 9\/10. Let d = -390\/11 - -1444\/55. Let t = 9 + d. What is the nearest to t in h, 1, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 89*y**2 - 1104*y - 394. Calculate w(-100).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 48*v**2 - 10*v + 2. Let x be f(-10). Suppose m + w + x = 0, w - 11556 = 3*m + 3142. What is m rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -2. Suppose -3*c + 5*i - 3*i = -17, f*c - 2*i - 27 = 0. Let z be (-3)\/c - 10\/25. Sort z, -2, 2 in ascending order.\nAnswer: -2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 15. Let k be f(-10). Let i = -2.9 - 1.1. Which is the smallest value? (a) 2\/7 (b) k (c) i (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**3 + 2960*q**2 + 2966*q + 742.\nAnswer: -2*(q - 371)*(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7803 and 1977338.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -18*s**2 + 8*s + 893. Let n(t) = -28*t**2 + 13*t + 1339. Calculate 5*n(r) - 8*x(r).\nAnswer: 4*r**2 + r - 449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 26\/(-90). Let s be 4\/(-16) + (-42)\/(-104). Which is the nearest to 2? (a) -0.1 (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 35*t**2 + 15*t + 17. List the prime factors of n(-7).\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/9 + -2\/9. What is the third biggest value in 2, t, -0.5, 3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1064*o**3 - 9*o**2 + 18*o - 183. Let m(u) = -266*u**3 - 2*u**2 + 4*u - 45. Let c(q) = -2*h(q) + 9*m(q). Differentiate c(l) with respect to l.\nAnswer: -798*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (-5 - -2) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.62 + -0.4. Let v = i - 1.12. Let g = -0.899983 - v. Round g to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23\/6*y**3 + 1\/6*y**4 + 193\/6*y - 133\/6*y**2 - 14 = 0. What is y?\nAnswer: -28, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 564.9999581 - 565. What is x rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -6, 0.05, -19, 552?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*y + 471 - 1728 = -10131. Calculate the remainder when 7545 is divided by y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.3. Let c = 26.983 + -27. Let k = c - -0.317. What is the smallest value in v, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -190. List the prime factors of u.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + (-2 + sqrt(475))**2 + 0.\nAnswer: -15*sqrt(19) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*g + 194470 + 194456 = 388935, 5*g + 36 = -4*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1957*c - 11748. Determine a(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*d**2)*(-3*d + 2*d + 3*d) + (-d**2 + 3*d**2 - 5*d**2)*(-d + 3*d - 4*d).\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 134092883977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(60)\/sqrt(5)))\/(sqrt(1000)\/sqrt(8)) + 5)**2.\nAnswer: 2*sqrt(7) + 632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 33*j**2 + 33*j + 5. Let g(m) = 32*m**2 + 32*m + 4. Let a(r) = -5*g(r) + 4*p(r). What is the second derivative of a(h) wrt h?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1\/23 in decreasing order.\nAnswer: 4, -1\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.645 - -28\nAnswer: 28.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigiiigiig. What is prob of sequence gg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = -9*m - m. Is m a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(216) - 1*sqrt(216)) + sqrt(216)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -0*n - 2*y, y + 15 = 4*n. Suppose 0*l + 32 = n*l. What is the highest common factor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/200*-10*(-30)\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, 3001 in increasing order.\nAnswer: 5, 12, 3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5319 + -5328. Which is smaller: j or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - 997 = -46*o - 294 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10212539 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: Let g(z) = -z**3 - 14*z**2 - 25*z - 13. Let f be g(-12). Let p be 3*1*f*(0 + -2). Solve p*c - 3 = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -15*c + 88. Suppose 3*f + c*j - 373 - 4321 = 0, 5*j = 4*f - 6212. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27189654799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -253653 times -0.05?\nAnswer: 12682.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*q - 92*q + 3003 = 0. List the prime factors of q.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 + 5271324*m**2 + 1736675908896*m - 1736681180224.\nAnswer: 4*(m - 1)*(m + 658916)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -201103123030?\nAnswer: -201103123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/5522 and -107\/28239508.\nAnswer: 28239508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -43*h - 1\/8*h**3 + 0*h**2 - 1\/12*h**4 + 39. Let b(m) be the first derivative of y(m). Suppose b(o) = 0. What is o?\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32109 divided by -10703?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x + 3. Suppose -z = -5*s - 40, z + 0*s = s + 24. Let l = 13 - z. Let a be h(l). Calculate the highest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -2*w + 50 = w - 5*o, -16 = 4*o. Calculate the least common multiple of p and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*q - 33 = 0, 5*q + 4 = 3*m + 10. Let t = 10 + m. Suppose -t*g + 42 + 108 = 4*c, -3*c = 0. Calculate the highest common factor of 20 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v. Let q = 6 + -9. Let t be ((-4)\/q)\/(4\/9). Let p(o) = -23*o - t + 3 + 22*o. Give p(a(g)).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*i = 117121 - 109435 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -9 - (18 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/((sqrt(18)*3)\/sqrt(3)))**2*-5.\nAnswer: -250\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 160 = -3*q, 48 = 2*q - 2*f - 58. Suppose -4*o - q = -0*o. Let u = o - -21. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nwl when three letters picked without replacement from {o: 1, l: 1, g: 1, i: 2, w: 1, n: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 103*o - 7*o**2 + 11*o**2.\nAnswer: 3*o**2 - 103*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 456700067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 243?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*73.1651\nAnswer: -292.6604","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 23*a - 2. Give t(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-101)\/(5454\/570)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 322*j*x**2 - 335*x**2 wrt j?\nAnswer: 322*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4174039598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6904198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(3) - sqrt(75)) - sqrt(108)*-5) + (sqrt(90)\/sqrt(3)*5)\/(sqrt(60)\/sqrt(24)).\nAnswer: -5 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1628287146 to the nearest integer?\nAnswer: 40352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + 2041020\/177275. Let c = -1\/1013 - y. Calculate the common denominator of 40 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -729 divided by 5\nAnswer: -729\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.984 - -0.016. What is the fourth smallest value in l, 3\/7, -4, 1\/10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072758459 a multiple of 2787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -384 - -214. Is ((-4)\/((-16)\/w))\/(6\/(-12)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {a: 2, k: 1, f: 1, y: 1, j: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450069 is divided by 266.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -5*k**3\/2 - 9*k**2\/2 - 317*k. Let n = 6 - 11. Calculate the remainder when a(n) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 29*z = 27*z + 142154, 3*n - 106609 = 5*z. What are the prime factors of n?\nAnswer: 2, 3, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370 - 835 - 1074*p**2 + 468.\nAnswer: -1074*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.93227857 and 39.\nAnswer: 39.93227857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26517 + -25022.3. Round g to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h)**(-44)\/((h*h*h\/(h\/(h*h**(-6))))\/h**(-2\/3))*(h**0\/(h\/(h*h*h\/(h\/(h**3*h)))))\/(h**(2\/3))**(-7\/4) assuming h is positive.\nAnswer: h**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 2*b + 3 = 0, -5*u + 103673*b - 103671*b = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*y**5*z**3 - 70*y**5*z + y*z**3 - 17*y - 15 wrt y?\nAnswer: -1280*y**3*z**3 - 1400*y**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-1))\/(-1))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -21*h. Let w = 5.1 + 37.9. Let u = 64 - w. Is u >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-6) + 22\/33. Let y = q + 5. Solve -w - w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(49))\/sqrt(7)*5)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a minute in seconds?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089864519 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 4*o**2 - 8*o - 9. Give y(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2.03.\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*(-6)\/8*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 - -4 - (3 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 794330952383?\nAnswer: 794330952378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 793159 is divided by 2666.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 14*r**2 + 3*r - 13. What is the units digit of k(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2176*z + 340 = 2181*z - 4*d, -5*d - 217 = -3*z for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/915 and 71\/17910?\nAnswer: 1092510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-2*-4 + sqrt(133))\/(sqrt(77)\/(sqrt(11) + -3*sqrt(11)) - sqrt(7)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-5))\/(-80)*(-4)\/(-2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 2*b - 1. Let p be t(-1). Let g be (-1 - p) + (-12)\/4. Let a be -2 + 1 + (-14)\/4 + 4. What is the nearest to 0.1 in 0.5, g, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*o - 2*v - 10, -o = -2*v - 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 0 + 2*a + 2 + 17.\nAnswer: 2*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -927202.233 rounded to the nearest one thousand?\nAnswer: -927000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 + 154. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**7\/735 - l**6\/105 - l**5\/42 - l**4\/42 + 121*l**2. Suppose a(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/7)\/w)\/w)\/w**(2\/3)*w**(1\/9)*w*w**(2\/3))\/((w*w\/(w\/(w**1\/w)))**(-1\/31))**(-1\/45) assuming w is positive.\nAnswer: w**(-7292\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (0 + 1)\/1. Suppose -3*q + q - 4 = 2*u, 4*u = 5*q + 19. Let l = u - z. Put 1\/2, 0, l in decreasing order.\nAnswer: l, 1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*l - 80*l + 2*l**2 - 33 + 157*l + 31*l**5 wrt l?\nAnswer: 1860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 divided by 510?\nAnswer: -101\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28a5 + -5?\nAnswer: -28aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 8*y**2 + 21*y + 53. What is the remainder when 2669 is divided by b(6)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 7590*z + 7585 = 0.\nAnswer: 1, 1517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1295)\/(-315) - -27) + (-2)\/18.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(-34)*604*(-20)\/16800 and -25\/34.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.024*0.4.\nAnswer: 0.0096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/43? (a) 17 (b) -2\/13 (c) -52\/5 (d) -8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrowooorwr. What is prob of picking 1 w and 3 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 1 - 7. Solve 0 = f - g*f - b - 10, 0 = -f + 5*b - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26582868 and 468.\nAnswer: 26582868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 10, 10*l = 5*b + 13*l - 20. Is 27\/44 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -356549 divided by 1596?\nAnswer: -356549\/1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2976?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778763408 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(17) - (sqrt(17) + (sqrt(1088)*-3 - sqrt(1088) - sqrt(17)) + sqrt(17) + sqrt(17)))*-6 - (-3 + -3*sqrt(17))*-3) + -4)**2.\nAnswer: 5070*sqrt(17) + 646595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 355\/(15\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 23*y - 135. Let g(r) = 17*r**2 - 4*r - 45. List the prime factors of g(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130198883 to the power of 1\/2, to the nearest integer?\nAnswer: 11410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61957 is divided by 6875.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 - -9)\/((-8966)\/4). Let c = -4492163151719817\/98626 + 45547453527. Let v = c + u. What is the common denominator of -81\/10 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 1615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (3 + -2)\/(-4 - -5). Let q(z) = 199*z**2 - 123*z + 12. Let i(w) = -w + 3. Let o(t) = y*i(t) - q(t). Find the second derivative of o(x) wrt x.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -109, -376, -825, -1462, -2293?\n\"Answer: -t**3 - 85*t**2 - 5*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/7 + w\/7 + 240\/7 = 0. Calculate w.\nAnswer: -15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 + 2*d - 1. Let f(n) = 28*n**2 + 9*n - 5. Determine 2*f(u) - 9*p(u).\nAnswer: -7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c - 32. Does 14 divide (-2)\/c - (-399)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386 = -15*w + 22*w. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 1009*v**2 + 1714*v**2 + 6*v - 1003*v**2 as o*v + h*v**3 + m + u*v**2 and give u.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = 0, -5*o + 9 + 18 = i. Suppose -o*w - 18 = 2*v, 3*v + 0 = 4*w - 4. Let d(m) = -m - 9. Determine d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80*h - 225*h + 50*h)*(-4*h - 3*h + 4*h)*(-3 + 6 - 2).\nAnswer: 765*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*o - 154 = -834*o + 4*m, 0 = 4*o + 4*m - 380. Solve -42 = -75*k + o*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 18*z**2 - 16*z - 19. Let y be r(17). Let l be ((-6)\/12)\/(y\/(-1356008)) + 2. Round l to the nearest ten thousand.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 2*t**2 - 2. Let a = 10 + -10. Suppose a = 3*s - 0*s - 6. What is l(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(10)*1)\/sqrt(5))**2*4.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*-3 - (sqrt(133) - (sqrt(133)*1*-6 + sqrt(133))))\/(((sqrt(77)*2 + sqrt(77))*-5)\/(-5*sqrt(11)*1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-1638)*-13 - (-22)\/(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/59 + 173\/236. Sort 1\/10, p, -4, 5\/3 in decreasing order.\nAnswer: 5\/3, p, 1\/10, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -7 (b) 0 (c) 3\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113784555.\nAnswer: 3, 5, 109, 69593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - -0.035107423.\nAnswer: 18.035107423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -6. Suppose 5*i = -2*j + 29, 3*i - 22 = -3*j - w. Suppose -2*f + f = -j. Solve 4*m - 2*m = -f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 2*j**2 + 94*j. Let u(f) = 5*f**3 + 11*f**2 + 470*f. What is -11*s(y) + 2*u(y)?\nAnswer: -y**3 - 94*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5523 + 5?\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(15)\/sqrt(5)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 - 425505*l**4 - 425525*l**3 + 1276505*l**2 + 2127540*l + 851020 = 0.\nAnswer: -1, 2, 85102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43389*a + 3 - 43206*a + 2 - 4 + (2*a - a + a)*(3 - 5 + 3) - 5 + a + 5 - a + 1 - 1 + 34*a + 46 - 46 to n*a + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -837324?\nAnswer: 837322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 - 163*r**2 - 75*r - 579. What is d(82)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9*u - 6. Let h(n) = -n. Calculate h(s(r)).\nAnswer: 9*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*x - 3, 0 = -4*o - 3*x - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 - 9*s**2 + 3*s**2 - 157*s**3.\nAnswer: -157*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y\/(y\/y**(2\/5))))\/y))\/y)**(-1\/67)\/((y*y**(2\/5))\/y)**(6\/13)*(y**(1\/4)\/(y**(-2\/3)\/y*y))\/(y**(1\/3))**(-8\/7) assuming y is positive.\nAnswer: y**(80995\/73164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91243241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -588531*v**4 - 7*v**2 + 11760*v + 2 wrt v?\nAnswer: -14124744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593\/(-230) + 177\/(-138414)*17.\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2352 and 123\/490.\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -23697926384 and -0.3.\nAnswer: -23697926384.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -506, -507, -508?\n\"Answer: -d - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -56 + 222 + -204?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 918.89 + -919. Which is smaller: u or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**3 + 89*n**2 - 7*n. Let m(a) = -3*a**3 - 30*a**2 + 2*a. Let c(g) = -7*m(g) - 2*u(g). What is the third derivative of c(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*q**3 + 11*q**3 + 34*q**2 - 209*q + 10*q**3 + 58*q + 174.\nAnswer: -(q - 29)*(q - 3)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -329 + 329.5. Let h = -1.6 - 0.4. What is the nearest to -2\/7 in 0.3, o, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521829?\nAnswer: 3, 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 + (-25 + 51 - 28 - (0 + 5))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, b: 2}. What is prob of sequence bj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 32, 2, 5 in decreasing order.\nAnswer: 32, 5, 2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8377658*i**2 + 14062484 wrt i.\nAnswer: -16755316*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvveexvee. Give prob of sequence xvex.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b68f1 (base 16) in base 7?\nAnswer: 6233030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-68)*6519\/(-443292).\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.55, -4\/7, -48, 4.4?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10942 + 317*z - 642*z + 323*z.\nAnswer: -2*z + 10942","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -102142 + 72.25\nAnswer: -102069.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32010.0326 + 32005. Let q = 0.0326 + x. Which is the second biggest value? (a) q (b) -0.4 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 4*u**3\/3 - 1. Let t(f) be the third derivative of 0*f - 1\/30*f**5 + 0*f**3 + 0 + 0*f**4 + 300*f**2. What is t(i(g))?\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 16666?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 657585578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:45 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 12. Let a be x(3). Let s be 2*(1\/6*a + 5). Solve 1 = -4*j + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 s, and 1 n when four letters picked without replacement from {n: 2, s: 5, o: 7}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 1 (c) -2845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*2 + sqrt(243))*-3 + sqrt(243) + (sqrt(243) - (1 + sqrt(243))) + 1 + 1 + (sqrt(243) + -2 - sqrt(243)) + -5 + -5)**2.\nAnswer: 1584*sqrt(3) + 15673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1240)\/(-93) - 14)\/(2*1\/(-90)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (7335\/(-1467))\/(-2*(-10)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Suppose 7*t - 15 + 57 = 0. Let b(m) = 9*m**3 + 5*m**2 - 6*m - 3. Let k(n) = t*h(n) + b(n). Find the third derivative of k(s) wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4368 and 2184?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137326253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2 - 2*j**2 + j**2 - 3*j**2. Let o(c) = -3*c**2 - c**2 + 4*c**2 - c**2. Calculate o(w(l)).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 7 - 5*w - 4 + 5*w + 3*w**3 in the form a*w**3 + i*w**2 + l + j*w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (71\/2)\/((-5)\/(-70)*7). Find the second derivative of -52*h**3 + k*h**3 + h**4 + 3*h - 2*h**4 wrt h.\nAnswer: -12*h**2 + 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156014, -312058, -468102, -624146, -780190, -936234?\nAnswer: -1092278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 7 - 3. Let t = b + 5. Suppose -t*v = 5*p - 11 - 50, 4 = v. Calculate the greatest common divisor of p and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 5:49 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176621?\nAnswer: 239, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhlhhhhlhhlhh. Give prob of sequence lhh.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 973612715 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 737942*b**2 + 1878440*b?\nAnswer: 1475884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180847 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 977 (base 13) to base 5\nAnswer: 22434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5370 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 8 + 13)*(-3*o**3 + 2*o**2 + 2608*o - 2608*o).\nAnswer: 12*o**3 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 4008 = -161*p + 1052 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2 - 2\/9*f**2 + 4\/3*f = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 13. Let m be 582\/42 - 2\/(-14). Let r be p(m). Suppose -5*s = 2*d - 16, d = s - 0*d + r. What is the greatest common factor of 16 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2 + 2*d - 5. Calculate u(7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81367, -162412, -243457?\nAnswer: -324502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 2, d: 2, t: 3, y: 8}. What is prob of picking 2 t and 1 d?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10*12\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j - 9. Let q(f) be the first derivative of 0*f - f**2 + 0*f**3 + 0*f**5 + 1 + 0*f**4 + 1\/6*f**j. What is the second derivative of q(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -2712, 22, 36 in descending order.\nAnswer: 36, 22, 5, -4, -2712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1611939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1814*s**3 - 1084*s**2 + 2*s - 15990098.\nAnswer: -5442*s**2 - 2168*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w - 10*w - 180 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -0.2, -230, 2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 106. Which is smaller: -15 or r?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 39100?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73048.\nAnswer: 2, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 0.2 (b) -0.3 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218087\/1104204 + 2\/14529. What is the common denominator of b and -32\/361?\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40569244 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: In base 2, what is 1000010 + -11001010?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.89 + 2. Let n = -0.11 + j. Which is the third smallest value? (a) -5 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 2*w**2 - 2*w - 1. Let g be x(1). Suppose 3*z = -3, g = 2*v - 4*v - 3*z - 7. Which is the closest to 0.4? (a) -5 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j. Let u be p(7). Suppose -13 = 2*v + h, -5*v + 2 + 3 = -5*h. Sort -3, v, u in descending order.\nAnswer: u, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -11. Let o be 2*1\/(-5)*d. What is the tens digit of 3\/6 + (-38)\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose -b - 6 = -3*b. Suppose 45 = 5*v + 2*z - 25, -2*z + 46 = b*v. Solve n*x = 2*f + 2*f - 19, -v = -2*f + 4*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001010110 (base 2) to base 8\nAnswer: -2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -14*l - 20. Let j be y(-4). What is the highest common divisor of j and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728*z**2 + 404.\nAnswer: -1456*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (1 + -3))*9. What is the tens digit of 494\/14 + (-18)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4489 - 3052. List the prime factors of v.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12644 - -12724. Calculate the highest common factor of v and 1390.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 18 = 71 + 7 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 15*x + 12. What is the common denominator of (34\/(-8))\/(0 + -10) and (15 - (-4910)\/(-320)) + (x - 0)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u + 2*p = -88, 2*u = -5*p + 12. Let g = u - 27. Let d(y) = y**2 + 11*y + 3. Let q be d(g). Solve -q*m - 8 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 0*z = -z + 59, -18330*s = -18341*s - z + 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - 14*k + 14. Let c = 612 + -607. Let q(a) = -a**2 - a + 5. Let h(x) = -2*x + 5. Let w(s) = 4*h(s) - 3*q(s). Give c*i(l) - 14*w(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191834503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + o = 4*o. Suppose -5*r + i + 244 - 9 = 0, 5*r + i - 245 = o. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 14. Let j(s) = 1. Let v(r) = -r + 2. Let u(h) = 1. Let t(i) = 7*u(i) - 2*v(i). Let m(x) = f*j(x) + t(x). Let o(c) = -14*c. What is o(m(b))?\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -0.055 (c) 19\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjo when three letters picked without replacement from jdjo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:58 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4450086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 20*o**3 + 5*o**2 - 25*o - 2. Let r(c) = -22*c**3 - 5*c**2 + 26*c. Let h(u) = 9*b(u) + 8*r(u). Factor h(l).\nAnswer: (l - 2)*(l + 1)*(4*l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22102543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -t**2*v - 9837*t**2*w - 6*t*v*w - 44*t*v + 1444*v*w + 4*w + 15 wrt v?\nAnswer: -t**2 - 6*t*w - 44*t + 1444*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, 2\/17, 3684, -1\/4, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1638 and 47\/21?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*v**2\/4 - 530721*v\/4 + 56862 = 0. What is v?\nAnswer: 3\/7, 25272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/30*(1890\/(-4))\/9. Calculate the greatest common factor of 1134 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-57))\/(2\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1396 divided by 7\nAnswer: 1396\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqppsspppqps. What is prob of picking 3 s?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157499.\nAnswer: 29, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 4*i + 2. Let k be m(-2). Suppose 0 = -5*d + 4*a + 20, 2*d - 5*a = -k*a + 1. Suppose 0 = 4*z - d - 0. Let w(p) = p - 3. What is w(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-220)\/77)\/10 - (-632)\/7. Let o = -68 + z. Calculate the remainder when o is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 84*u + 81.\nAnswer: 3*(u + 1)*(u + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c3 (base 14) to base 9.\nAnswer: -447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -14*k**3\/5 - 88*k**2\/5 - 136*k\/5 - 32\/5 = 0.\nAnswer: -4, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.01672 to 2 dps.\nAnswer: 3.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - 11*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5955799 is divided by 12671?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7320614969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 + -257. Let i(q) = -3*q - 1. Let f(u) = -1152*u - 396. Let v(j) = n*f(j) + 792*i(j). Let x(p) = 9*p. Calculate -4*v(l) - 33*x(l).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2171204, 2171223, 2171276, 2171381, 2171556?\n\"Answer: 3*n**3 - n**2 + n + 2171201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0, -359, 0.5 in ascending order.\nAnswer: -359, 0, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -27. Let h = 96 + -94. Put l, -0.3, -0.4, h in descending order.\nAnswer: h, -0.3, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 953*s. Let k(l) = -l. What is i(k(m))?\nAnswer: -953*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 186601868, 373203740, 559805612, 746407484, 933009356, 1119611228?\n\"Answer: 186601872*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -531776, -531771, -531764, -531755?\n\"Answer: f**2 + 2*f - 531779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150317 - -14?\nAnswer: 150333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -t + 4*y - 3, -t - 2*y = -12. Suppose -4*f - 26 = 42. Let n = f - -24. Solve -t*m + 9 + n = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -1\/8*u**3 - 5\/8*u**2 + 1\/8*u**4 + 0 - 3\/8*u = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7\/5)*v\/(v*v\/v**(-7)))\/(v**(-2\/5)*v\/(v\/(v\/(v**(-5\/4)\/v)))) assuming v is positive.\nAnswer: v**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1192 + -1191. Suppose -4*b + 8 + 12 = -g, -2*g + 4 = 3*b. Solve -o = 3*x - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 9*i + 7. Calculate h(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3970861 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -8. Let y(f) = f + 20. What is the remainder when y(r) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000093808 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*j - 19350 = -880*j + 629*j for j.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19425695 equal to -58277089\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - -0.3. Let s = x - 0. Let j = 2.1 + s. What is the smallest value in -1, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + g + 23, 0*z - 8 = -2*z - 3*g. Suppose 3*k = 5 - 11. Let x be 1 - k*3\/2. Solve z*o - x*o = -4*l - 23, 4*o + 14 = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.2, 0.02, 0.03?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3498849 and -2?\nAnswer: -6997698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 238\/(-5) - (-2)\/(-5) and ((-86)\/(-54))\/(11\/33).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 575621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2227*l + 169262. Calculate r(-76).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*z**3 + 3 - 418*z**2 - z + 417*z**2 + 60*z**3 as s*z + t + q*z**2 + c*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4163, 10673, 19411, 30383, 43595, 59053, 76763, 96731?\nAnswer: 118963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**7\/140 + w**4\/24 - w**3\/2 + 6*w**2. Let m(z) be the first derivative of u(z). Differentiate m(c) wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.3 - 21.1. Sort 4, x, 0, 7 in descending order.\nAnswer: 7, 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w + 5. Let u = -18 + 22. What is k(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 0*p**3 + 0*p**2 + 47\/12*p**4 - 4*p. Let c(f) = -2*f**2. Give l(c(q)).\nAnswer: 188*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 3*o**2 + 2. Let m be c(-3). Suppose -m*a - 1 = 3*l - 0*a, 0 = l + 2*a + 7. Factor -6*z**4 - 6*z**2 - 4*z + z**2 + 11*z**2 + 4*z**l.\nAnswer: -2*z*(z - 1)*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*m = 28, -2*m + 17 - 3 = 3*i. Suppose 5*h - i - 14 = 0. What is the derivative of -h*g**2 + 4*g**2 + 2 - 5*g**2 wrt g?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83121430*u*v + 23613*v - 5370 wrt u?\nAnswer: -83121430*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2796\/4)\/(4 + -1). Suppose 0 = 5*z - i - 2942. List the prime factors of z.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5927286+-3.524\nAnswer: 5927282.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5644, -5639, -5632, -5623, -5612, -5599?\nAnswer: -5584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 249*-308.6\nAnswer: -76841.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -111220112221000121?\nAnswer: 111220112221000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 193. Let w(a) = -2551*a. Calculate w(h(c)).\nAnswer: 10204*c - 492343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-6 - -9) - (5 - (-1120)\/(-190)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 2593*p - 31242. Calculate l(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/8)\/(f\/f**(-1\/4)))\/((f*f*f**5)\/(((f\/(f\/f**7)*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/(-52) - 3\/(-4). Suppose 2*q = -y + 2*y + 111, 2*q - 2*y - 108 = u. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63667*r + 51*r**2 - 31832*r - 31835*r - 22*r**2.\nAnswer: 29*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 5. Which is the nearest to u? (a) 0 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*w - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(11\/132). Suppose -r + 0*r = -i. What is the least common multiple of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 50. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 169 + 2?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**3\/6 - w**2\/2 + 9*w - 8. Let m(p) be the first derivative of r(p). Calculate m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*o. Determine u so that o*u**4 - u**2 + 2*u**2 - 4*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlt when three letters picked without replacement from tlekleatet?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -0.45, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1375 or -678?\nAnswer: -1375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6733 + 6738 + 17*p**3 - 18*p**3.\nAnswer: -p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 855\/6383 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 2. Let t be k(-6). Find the first derivative of 100*u + 2*u**t + 3 - 100*u wrt u.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(-577 - 242 + 274)*(-2 + s + 2) in the form c*s + l and give c.\nAnswer: -1090","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5651 or -5653?\nAnswer: -5651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*o + 10 = 0, 4*m + 2*o - 6 = 6. Calculate the lowest common multiple of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200451*q**4 + 39*q**2 + 959*q.\nAnswer: 4810824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 + w**2 + 6 - 5 - 5*w**4 - w**3 to the form d + o*w**2 + q*w**3 + u*w**4 + z*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 669035 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 58488 and 52?\nAnswer: 760344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004333285073 to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m + 12 + 2*m - 3*m + 22*m in the form r + v*m and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1e8 (base 15) to base 3\nAnswer: -121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.83 + -151.83. Let t = 150.9 + o. Let u = -2 + 3. Which is the nearest to u? (a) t (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - g**2 + 5*g - 3. Let u(s) = 11*s**3 + 6455*s**2 + 13867475*s + 9938375015. Let r(n) = -5*a(n) - u(n). Factor r(q).\nAnswer: -(q + 2150)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70 + -37. Let m = b + -33.00000094. What is m rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*l = -120, -7*c = -12*c + 3*l + 300. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 53152?\nAnswer: 10630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 116425056?\nAnswer: -116425051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13256812, 13256814, 13256816?\nAnswer: 13256818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-1 - -3) - 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.117 * -123.\nAnswer: -752.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -27 - 1\/6*n**4 + 2\/3*n**3 + 1\/3*n**2 - 2\/15*n**5 - 4\/3*n. Suppose y(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8695 and 3286945?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -356 + 359. Suppose -f = 4*y - 114, 8*y - 143 = b*y - f. Sort y, -2, 4, 3.\nAnswer: -2, 3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/15)\/((-2)\/(-5)). Put 2\/11, a, -2 in ascending order.\nAnswer: -2, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 - 6 + 3*q**3 + 16 + 10 - 1 + 3 as x + w*q + t*q**3 + p*q**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 1. Suppose m*i = -i + 485. Calculate the remainder when i is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -12 + -15 + 52.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -530\/867?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*q**4\/5 - 266*q**3\/5 + 16*q**2\/5 = 0 for q.\nAnswer: -2, 0, 8\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**3 + 3*n**2 - 4. Is w(-3) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -145452 + 5?\nAnswer: -145445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 2 + 11*s to g*s + k and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -20, 2, 5, -15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/432 and -49\/3600.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 64055 and 51 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41 (b) 1 (c) -10 (d) -1\/823 (e) 0.0368\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 - 9*c - 9. Let y be u(7). Suppose -2*h - i = 3*h - y, -2*h = -3*i - 7. Suppose -h*w + 12 = -4*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*q**2 - 8*q - 1176*q**2 + 8*q + 648*q**2.\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -3*r**8\/28 + 11*r**4\/12 + 10*r + 13. Let o(f) be the first derivative of t(f). Find the third derivative of o(z) wrt z.\nAnswer: -720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 9) to base 2\nAnswer: 10100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-34390)\/905 + 61 + -1\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1362288 (base 9) to base 12.\nAnswer: 3019b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*z = 3227 + 5213 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2550100 + -153?\nAnswer: 2545503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 150158 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1001001331 (base 4) to base 3\nAnswer: 111112101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 9*a - 4*b + 12, -b + 20 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -x + 5*a + 18, 4*a = 2*x - 30. Suppose 3*h - 2*w = 860, -3*h + 845 = 8*w - x*w. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 4. Let t be o(2). Let y(z) = -z**3 + 9*z**2 + 12*z - 13. What is the units digit of y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529422 to the power of 1\/2, to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 65. Suppose 16 = t - 3*p, -y*p - 4 = 6. Let j = t + 4. Solve j*f - f = 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.65 + 2.55. Let c be (-1)\/(-2) - (-1)\/14. Put c, -4, j in decreasing order.\nAnswer: c, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169659 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 r when three letters picked without replacement from rrkkrrrrrerrrerrrkrr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2759.09889 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(-24)\/48?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22143 divided by -7?\nAnswer: 22143\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 24.541?\nAnswer: -25.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258973 and 996050?\nAnswer: 12948650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -22, -16, 10, 62, 146?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.2448 times 4.45\nAnswer: -9.98936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + -4 + 10 + -7. Suppose 3*s - 12 = 4*s. Let d = t - s. Solve 0 = 2*v - 4*r - 20, 0 = 2*v - 4*v - 3*r - d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6033829 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8534 + -51031\/6. Let b = h + -57\/2. Find u such that -1\/3 - 1\/3*u**3 + b*u**2 + 1\/3*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 11*a**2\/2 - 135. Let w(b) be the third derivative of -17*b**4\/24 - 2*b**2 + 11. Calculate l(w(o)).\nAnswer: -187*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -53974000 to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 9. Let m = -4.123 - 1.891. Let p = k - m. What is p rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 8, o: 7}. Give prob of sequence gg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 6*f = 2*l + 3*f - 5, 4*l + 5*f = 65. Factor 2*q**s + l*q**4 - 11*q**3 + 4*q + 36*q**2 + 47*q**2 - 69*q**2 + 29*q**3.\nAnswer: 2*q*(q + 1)**3*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -25*u**3 + 2*u**2 - 11*u - 4610. Let l(i) = -50*i**3 + 5*i**2 - 20*i - 9203. Let t(n) = -4*l(n) + 9*w(n). What is the first derivative of t(a) wrt a?\nAnswer: -75*a**2 - 4*a - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(448) + -4 + -4 + -4)**2.\nAnswer: -256*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8783839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 39 + -38 - -17.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12976?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 366300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 11. Let z(y) be the second derivative of -y**5\/60 - y**4\/4 + y**3\/6 + 105*y**2\/2 + 200*y. Let o(q) be the first derivative of z(q). Give o(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 + 1036*b - 536648.\nAnswer: -(b - 1036)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 7*p + 4. Let q(n) = 3*n**2 - 8*n + 5. Let k(y) = y + 25. Let g be k(-27). Let o(l) = g*x(l) + 3*q(l). Determine o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -51*i + 1. Let n be l(-3). Suppose -2 - 2 = -y. Suppose -o + y*k = -3*o + n, -3*o = 4*k - 233. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 4 - 4)*(0 + 0 - y) - y**2 + 0*y**2 - y**2 as c*y + x + o*y**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.3589 - -0.0489. Round g to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 24. Solve 4*l - 2*y = 0, -5*y = -0*l - v*l - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-22)\/(-1320)*(-6)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = r + 13, 1 = 3*r - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*y = -32, 0 = 3*j - y - 49 + 12. Suppose -13*r = -j*r - 104. What is the remainder when r is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(20\/7)\/b**40 assuming b is positive.\nAnswer: b**(-260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 157868 and 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**6\/42 + 202*z**5\/5 + 150096*z**4\/7 + 719104*z**3\/21 - 4577*z**2. Let j(a) = 0. What is a?\nAnswer: -424, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*x - 49 = 0, 24*x = -2*t + 22*x + 58. Suppose 4 = 5*u - 4*g, -u = 4*g - g - 16. Solve u*w - t = -40 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -8. Let m(h) = -6 - h + 2*h + 3 - 2*h. Determine m(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4235 + 4243. Suppose -39 = -x + 19. Suppose 2*v - 5*a - x = 0, 0*v = v - 5*a - 19. Calculate the remainder when v is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2 + (5*(3 + (-1*sqrt(1377)*-5 - (5 + sqrt(1377)*2))))**2.\nAnswer: -2700*sqrt(17) + 309932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 462807971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493777 is divided by 113.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(12\/(-72)). Let u(v) = 4*v**3 + 1 + 0*v**2 + 3*v**2 - 4*v**m. Let i be u(-1). Sort 4, i, 0 in decreasing order.\nAnswer: 4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10001101000001101?\nAnswer: 10001101000001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653.8862 microseconds to seconds.\nAnswer: 0.0006538862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12474835213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*c - 22*c + 130*c as r + a*c and give a.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2. Let t(f) be the second derivative of -28*f + 1\/3*f**4 + 0*f**3 + 0*f**2 + 0. Calculate t(y(d)).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5, -31, -91, -203, -385, -655, -1031?\n\"Answer: -3*g**3 + g**2 - 8*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2311928 and -0.01314?\nAnswer: 2311927.98686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109.1 - -109. Which is the nearest to 1\/2? (a) x (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3793.208221 + 0.085\nAnswer: 3793.293221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 18*t**2. Let l(f) be the second derivative of -f**4\/6 - 14*f. Give l(s(m)).\nAnswer: -648*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 332613 + -50?\nAnswer: 332533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 0.4, -5, -20, 1.8, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.088 - -3.812. Let h = -1.1 - f. Let r = 0.1 + 0.2. Which is the second biggest value? (a) -3 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.6? (a) 0.2 (b) 2\/9 (c) -4 (d) -6\/23 (e) 1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 0, 3*c - 6*s = -3*s + 21. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35849357 is divided by 689?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.99 + 5. Let g = 3.99 + i. Let z be 21 - 19 - (-728)\/(-156)*6\/16. What is the nearest to -2\/3 in z, g, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*m + 9, -3*m = -3*k - 19 - 20. Which is the fifth smallest value? (a) -0.4 (b) -1\/108 (c) 4 (d) -2 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.217 to zero dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)\/l**4 assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(928\/16))\/(4*2\/84)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -311 + 336 + (-3 - (18 - 4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 5, g: 3}. Give prob of sequence xo.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/3 + 12. Suppose -r = -2*r + 2. Let m be (5\/(-3) + r)*1. What is the second biggest value in y, m, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 852440 and 6464?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from 4987081.105999.\nAnswer: 4987089.105999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 11421046?\nAnswer: -11421069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54696999 is divided by 39.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1554 divided by -777\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6450391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11*u**2 + 8. Let t(j) = j**3 + 6*j**2 - 18*j - 8. Let k be t(-8). Let o(n) = 47*n + 3 - 47*n + 4*n**2. What is k*o(i) - 3*y(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 885 and 3881370?\nAnswer: 229000830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-12))\/((-2)\/(-54)). Suppose 3*d - 66 = y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-3))\/(13\/(-3) - -4). Let t be 0 - 1\/(11\/4). Is t at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*t + 16092 = 13900 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 + 68*n**3 + 67 + (-5 + 1 + 3)*(n - 3*n + 3*n)*(n**2 - 5*n**2 + 2*n**2).\nAnswer: 70*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let l(z) = 18*z**2 + z. What is m(l(f))?\nAnswer: -324*f**4 - 36*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 561*k - 1145*k + 652*k. Let r(m) = -196*m**2. What is r(p(a))?\nAnswer: -906304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -255877?\nAnswer: 1\/255877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-4)\/x*(x\/x**(1\/10))\/x*x**(-8)*x*x**(1\/7)*(((x\/x**4)\/x)**(-1\/3))**(-29) assuming x is positive.\nAnswer: x**(-10631\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5322787 is divided by 131.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127\/4 - 32. Let l = 0.07 - -0.02. Let b = l - -0.01. What is the second biggest value in -5, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 + 4*j - 10. Determine i(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 10*d - 2*d**2 + 4*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8530*x**6 + 67*x**3 - 693485*x**2?\nAnswer: -1023600*x**3 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100\/4150 + (-1330)\/83.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 2*x - 3. Let y be w(-5). Suppose 0*o = 2*o - y. Suppose 2*p + 60 = o*p. Calculate the greatest common divisor of p and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 8, -8, -2, 1, -10 in descending order.\nAnswer: 11, 8, 2, 1, -2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 5175*v**4 + 2*v**3\/3 - 21*v**2\/2 + 10*v - 71. Let a be o(10). Round a to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/14)\/((-13)\/442)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4078 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 2*f - 278, 5*f + 313 = 4*v. Suppose 89*o - 92*o = -v. Calculate the least common multiple of o and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2853360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n - 1. What is the lowest common multiple of 3 and x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2134 + 5?\nAnswer: 2143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**4*y - w**4 + 2*w**3*y + 19*w**3 - 2*w**2*y - 3324*w**2 + w*y + w + 1 wrt w?\nAnswer: 264*w*y - 24*w + 12*y + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572668?\nAnswer: 2, 61, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 3. Let q be t(-7). Suppose q*x + 1 - 17 = 0. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 divided by -239689?\nAnswer: -78\/239689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111111100 + -110101010100111?\nAnswer: -101101010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*s = 0, 5*w = 4*s - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = k - 84, -2*x + 2*k = -24. Let n = -10 + x. Is ((-9)\/n)\/(2\/(-16)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -97, -407, -931, -1675, -2645, -3847, -5287, -6971?\n\"Answer: -r**3 - 101*r**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4015 rounded to two dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-10)*(23 + 4 + -2). Suppose -d = 5*a - 8*a + 2*h, -4*a = 3*h - 25. Let q = 15 - -11. Solve -4*t - a = -q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -64. Is 23 a factor of 24\/8 - ((-6)\/n + -110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-165) + (-378)\/(-2310)*77\/21?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, x: 3, m: 3, g: 6}. Give prob of picking 1 g and 2 e.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 54*a - 47*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 11*c + 14. Let s be v(11). Suppose -s*n = 4*n - 36. Factor 5\/2*m**3 - 1 - 9\/2*m**n - 1\/2*m**4 + 7\/2*m.\nAnswer: -(m - 2)*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1805, -3669, -5533, -7397, -9261, -11125?\n\"Answer: -1864*h + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 23*p = -21*p - 72, -2*q + 3*p = -26. Let w(z) = z**2 + 7*z + 10. Let s be w(-7). Solve -b = 2*g + 3*b + s, g = -b - q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 + -164. Suppose -t*z - 384890 = 7*z. What is z rounded to the nearest one thousand?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 8. Suppose 0*c = -x*c - 48. Let a = -13 - c. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*h + 66*h - 51 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-90)\/(-35))*54\/(-105)*40\/12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 1 + 1 + (-2 - 4 + 5)*(-4*l + 5*l + 0*l) + (-3 - 19 + 5)*(l + 1 - 1 + (-1 + 1 - 2)*(-l - 2*l + 2*l)) as g*l + a and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -172*b**3 + 706*b - 728*b**3 - 55*b**3 + 115*b**3 + 1 wrt b?\nAnswer: -5040*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/17 (b) 27\/11 (c) -2 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 237967.95 months?\nAnswer: 198.306625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150*-182733.\nAnswer: 27409950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369, -3119, -8243, -15747, -25637?\nAnswer: -37919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.29 - 11.79. Let m = -11 - s. Let i = m + -0.515. What is i rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -881428.\nAnswer: 13221420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-438)\/(-693) - 6\/99.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and 2\/5 + (-2335)\/150.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26113, 26112, 26111, 26110, 26109?\nAnswer: 26108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 - 2604*h**3 - 29478*h**2 + 2601*h + 29478 = 0. Calculate h.\nAnswer: -17, -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d - 0. Suppose d = i - 2*i. Which is the nearest to i? (a) 0.4 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgqrhyqg. Give prob of picking 1 q, 1 h, 1 g, and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 34418548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-3)\/179) - 37\/(-111). Is ((-40)\/t)\/((-2)\/18999) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 495*t*y**5 - 3*t*y + 2*y**3 + 1771*y**2 wrt y?\nAnswer: 29700*t*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 653 = -8*j. Let l(b) = -19*b**2 - b - 1. Let o be l(-1). Let v = 42 + o. What is the remainder when j is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1558, 1\/11, -5, -10 in ascending order.\nAnswer: -10, -5, 1\/11, 1558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 329666 to the nearest one hundred.\nAnswer: 329700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7700 from 2.\nAnswer: 7702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186817 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from ekeepieqkqe.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 519 bigger than -33\/1006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 363140, 1452529, 3268176, 5810081, 9078244, 13072665?\n\"Answer: 363129*l**2 + 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-249)\/(-166))\/(6\/3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7528 - 0.5528. Let z be 21\/140 + 4\/(-10). What is the nearest to z in 46, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*p + 0*p = 0. Let d(c) be the third derivative of p + 0*c**3 + 1\/20*c**5 - c**2 - 1\/24*c**4 + 0*c. What is the second derivative of d(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 82 = 5*d. Let t be (5\/(-4))\/(8\/(-192)). Calculate the highest common divisor of d and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frx when three letters picked without replacement from fxxxxfxxxxxxxfrx.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 17 (b) -1 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-15)*(765\/(-18))\/17\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*k = -2*x - 47, 5*x - 3*k = -60. Let u be (3\/x)\/((-1)\/6). Factor -1\/4 - 3\/4*m - 1\/4*m**3 - 3\/4*m**u.\nAnswer: -(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51340, 102681, 154022, 205363, 256704, 308045?\nAnswer: 359386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 6. Let s be (3\/(-2))\/(1\/f). What is the greatest common factor of 165 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95657.\nAnswer: 23, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/19)\/(s\/(s\/(s\/s**7))) assuming s is positive.\nAnswer: s**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (836363*b**2 - 836363*b**2 - 951*b**4 + (-4 + 2*b**3 + 4)*(-3*b - 4*b + 5*b))*(-3*b + b + 0*b).\nAnswer: 1910*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*a + 33, 8*a - 4 + 23 = 4*y + 11*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, m: 1, i: 1, f: 2, k: 1, x: 1}. Give prob of sequence mk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-244)\/366)\/(4520\/4518 + -1). Let s be 0 + (-3358)\/10 + o\/1255. Is -337 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.063, 615, 1\/2 in ascending order.\nAnswer: -0.063, -0.04, 1\/2, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6*-3*16070\/2980985\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -112, -79, -42, -1, 44, 93, 146?\n\"Answer: 2*p**2 + 27*p - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213268772557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -29*n**3 + 6*n**2 + 4*n + 25. Is 17 a factor of x(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1346 + -12?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7308 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 660 - 4629\/7. Let x(o) = -3*o - 6. Let p be x(-3). Suppose -6*z - 3 = -p*z. What is the common denominator of z and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -14 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = -32*u. Which is bigger: u or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -716 (base 8) to base 14\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1893882 and -47\/30?\nAnswer: 9469410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35944, -36016, -36130, -36280, -36460, -36664?\nAnswer: -36886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*u = 80*u + 1680. Suppose 3810 = 6*s + u. Let g = s + -363. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -26, 3, 32, 61?\n\"Answer: 29*o - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 1.816.\nAnswer: 3.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 - 56*w**3 - 162*w**2 - 160*w - 53 = 0. Calculate w.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**2 + 52*p + 1013. Let h(u) = -u - 4. What is h(a(c))?\nAnswer: 2*c - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 + 15*d**2 + 8*d + 7. Let r(f) = 3*f**3 + 15*f**2 + 7*f + 6. Give 6*h(o) - 7*r(o).\nAnswer: 3*o**3 - 15*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Suppose -o = -4*l + 10. Suppose 3*d = 59 + l. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + 3 + (2 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 - 1024*c**2\/11 - 8064*c\/11.\nAnswer: -2*c*(c + 8)*(c + 504)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 203 = -3*p - 4*m, -4*p + 384 = 3*m. What is the least common multiple of p and 14?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k. Let j(o) be the first derivative of o**3\/3 + 4. What is n(j(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4460 + 13228 = -24*i. Let t = 741 + i. Solve -2*j - 5*n + t = 0, 2*j + 3*j = -4*n - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*d**2 - 3 - 2*d - 18*d**2 - 5*d**3 + d**3 + 2*d**3 + 8*d**2 in the form n + t*d + b*d**3 + k*d**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -3*g. Suppose v - 15 + 3 = g. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 4:26 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, o: 3, v: 2, s: 4}. Give prob of sequence vss.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134122630?\nAnswer: 2, 5, 337, 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/((v**(-11)*v)\/v))*v**(3\/4)\/v*v**(-2\/11)\/(v*((v\/v**5)\/v)\/v*v) assuming v is positive.\nAnswer: v**(-283\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*b + 3*b. Suppose 8*v - 73169 = -11729. Suppose v = b*r - 1096. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {s: 2, z: 1, w: 5, r: 5, d: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10581 is divided by 99.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.2, -2\/119?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -10, -42, -108, -220, -390, -630?\n\"Answer: -2*y**3 + y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 11 + (-13 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 422 - 427. Let b = 11 - 12. Put b, 4, z in ascending order.\nAnswer: z, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {t: 4, p: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca + 1?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from qispqiiisu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*(-29 - -17). Let w be (-1 + -20)\/((-18)\/v). Let y be 4\/w + 1122\/42. Calculate the greatest common factor of y and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from motmt. What is prob of picking 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**3 - 1. Let s be 11\/(22\/(-4))*89. Let n = s + 177. Determine y(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, d: 5, n: 1, w: 3, e: 2}. What is prob of picking 2 d and 2 w?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.006 + 0.021. Let r = 0.427 - s. What is the nearest to 5 in -3, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*k + 3. Suppose -4*u - 17 = 5*q - 5*u, 2 = u. Let p be -3 + 7 - 3 - q. Sort k, p, -2 in descending order.\nAnswer: k, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8437 a factor of 3090034376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-50) - (-371624)\/(-123600).\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7.5. Let o = 9.5 + z. Let f(q) = -2*q**3 + 9*q**2 - 3*q - 3. Let j be f(4). Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 9048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4080 is divided by 72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.39785 - 4.39785. What is the third biggest value in 1, p, -8270?\nAnswer: -8270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1001927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 151. Let s = -12 - q. Suppose 0*d = 2*d - s. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oor when three letters picked without replacement from {o: 9, r: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4101, 2, -2, 2\/11, 5, 6 in ascending order.\nAnswer: -2, 2\/11, 2, 5, 6, 4101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6650 + -69?\nAnswer: 65d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 4*h + 5*h)*(-759*h + 204*h - 487*h).\nAnswer: -1042*h**2 - 4168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*t - 10, -2*t + 5*r - 25 = 2*t. Suppose 6*a - 3*a - 60 = 0. Let p = a + -11. Solve 3*h = -p - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 735 + -689. Let l be 696\/44 - d\/(-253). Solve -4*w + 3*a = -a - l, 0 = w + a + 4 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 102 and 101 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 955092 divided by 59\nAnswer: 16188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmwmjvgmjgm. What is prob of picking 2 j, 1 v, and 1 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -10.1?\nAnswer: -3.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*q + 2*h, 0 = q + 2*q - h. Let v be q - ((2 - 0) + -3). Suppose -v = -3*l + 115. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 1, g: 1, c: 1, h: 3, i: 2}. Give prob of sequence hx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -3\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 25590 = -2*g, -6*x + 25615 = -4*x + 3*g. What is x rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**4 + n**3 - n**2 + n - 1. Let d(p) = -2*p**5 + 4*p**4 + 8*p**3 - 4*p**2 + 10*p - 8. Let x(r) = d(r) - 8*m(r). Let x(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 12*i**2 + 108*i - 1. Determine f(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7116718 is divided by 260?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w + 7. Let p(n) = 10*n + 7. Let h(k) = -4*p(k) + 5*y(k). Differentiate h(i) with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 94\/99 (b) 5 (c) 1038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.161, 5, 9, -1, -32, 16 in ascending order.\nAnswer: -32, -1, 0.161, 1\/4, 5, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1433e + f?\nAnswer: 1434d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 105 - (63 - (14 - -9)).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 142, -3, -2 in decreasing order.\nAnswer: 142, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 11. What is the units digit of i(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.833236 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nua when three letters picked without replacement from aaulaaapalnalllpalll?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 40 = -51*u. Sort u, -1, -32\/5, -0.3 in descending order.\nAnswer: u, -0.3, -1, -32\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m + 10. Suppose 5*o - 5 = m. Differentiate -1 + o*i - 3*i - 2 wrt i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -8977332 and -2087634.\nAnswer: -11064966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 3*i**3 + 7*i**3 + (3*i**2 - i**2 - i**2)*(1 - 4 + 5)*(2*i - 2*i - 2*i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {s: 5, d: 2, n: 3, l: 1, g: 1, q: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*m - 364, 2*m = f + 260 - 84. Let p = 18 + -18. Suppose -5 = -3*g + 1, 4*l - g - m = p. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 8 + -42 - -12) + 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5120500 and 15550.\nAnswer: 1592475500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464 and 4?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c + 8. Let b = c + 4. Put b, -5, -0.1 in increasing order.\nAnswer: -5, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3 (b) -4\/7 (c) -0.3 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/38 >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 35*p**2 + 17*p + 218. Let o be g(35). Let x be 4\/10 - (-5426)\/10. Let r = o - x. Calculate the greatest common divisor of r and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147.35 - 148.2. Let s = -302 - v. Let i = s + -0.65. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let i = -1.4 - -1.7. What is the second smallest value in i, o, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(984\/32))\/(12*(366\/(-36) - -10))\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -34*a**2 + 463*a - 19. Let y be m(14). Which is greater: -2405\/12 or y?\nAnswer: -2405\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 2*i**3 - i**3 + (4*i - 3*i - 3*i)*(-i**2 - i**2 + 3*i**2) + 0*i**3 + i**3 + i**3 + 20810 - 20810 - 158*i**3 + 3*i.\nAnswer: -159*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 24637.941 nanoseconds?\nAnswer: 0.0000000068438725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21316, -79590, -176704, -312652, -487428?\nAnswer: -701026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 184 and 182 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s*s**0))**(12\/13)\/((s**(2\/5)*s)**17\/((s\/(s*s**(1\/2)\/s))\/s*s**(-2\/5))) assuming s is positive.\nAnswer: s**(-3931\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*g + t, 223 = 3*g - 2*t + 63. Let d = -38 + 66. Let p = g - d. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 65 = 3*o, -3*o - k - 70 = 0. Let w be (-1 - -2)*o + 1. Let u = w - -49. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.06 - 40.14. Round h to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 108 = 32. Let s = 54 + p. What is the greatest common factor of 39 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1805 - 56*b**2 - 41*b**2 - 53*b**2 + 254*b**2 - 56*b**2 - 47*b**2.\nAnswer: b**2 + 1805","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(((w*w**7)\/w)\/w)*w))\/w*w*w*w*w\/w**12*w*w)\/(w**(2\/3)\/w*w)**(-24) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*i**5 + 302781*i**3 + 31*i**2 - 567789?\nAnswer: 1380*i**2 + 1816686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 1 (b) 8598 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**15)\/y)\/y)\/(((y\/(y**(-3)*y*y))\/y)\/y*y))\/(y**(3\/8))**(-2\/99) assuming y is positive.\nAnswer: y**(1849\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18035.9 - 18036. Put -4, 2\/7, 0.1, o in ascending order.\nAnswer: -4, o, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**5\/70 - g**4\/6 - 2*g**3\/7 - 241*g. Let q(v) = 0. Calculate v.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848774 is divided by 267.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.3463337 to 3 dps.\nAnswer: -64.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-4)\/18.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 11)*(-1 - 156*s - 254*s - 80*s).\nAnswer: 2450*s + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46166 and -361.4?\nAnswer: 166.843924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**2*o*q - 4*i**2*o - 49*i**2*q - 118150*i**2 - 4*i*o*q + 17*i*o + 6487*i*q + 2*i + o - 2*q wrt i?\nAnswer: 4*o*q - 8*o - 98*q - 236300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - y + 9. Let u be (5\/20 + -1)*-8. Let w(v) = v**3 - v + 8. Let s(n) = u*t(n) - 7*w(n). Let c be (-2)\/(-6)*4*(-6)\/4. What is s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1 - (-3 + 3)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppcm when four letters picked without replacement from kppypmc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 11024?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.4 + 11. Let i = p + 4. Let y = 0.4 + i. What is the third smallest value in 4, y, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147889577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 366048128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/203 and 49\/3.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**4\/3 - 5*s**2\/2 - s - 15. Let r(q) = -5*q**2. What is b(r(i))?\nAnswer: 100*i**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 - 134*g**2 + 190.\nAnswer: -134*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i**3 + 6*i**2 + 17*i**2 + 6*i**2 - 52*i**2 + 23*i**2.\nAnswer: 51*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -67*n - 60*n - 62*n - n**3 + 181*n + 6*n**2. Let u be x(4). Solve 10 = -2*t - u*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**6\/360 + 73*q**5\/60 - 103*q**4\/12 + 281*q**3\/3 - 258. Let b(z) be the third derivative of u(z). Differentiate b(w) wrt w.\nAnswer: -2*w + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15))**(-1\/7)\/(t\/(t*t**(-4\/11)))**6 assuming t is positive.\nAnswer: t**(-2542\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571*i + 124 = 572*i + 31*q - 61, -2*q + 5 = -7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2443998225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 710289314 by 5.\nAnswer: 710289314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 28762744*f - 3. Let b(v) = -v. What is b(x(a))?\nAnswer: -28762744*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15714 and 77309.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8 and -74.8817?\nAnswer: 434.31386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**8\/10080 - i**7\/1260 + i**6\/720 - 25*i**3\/3 - 41. Let x(k) be the third derivative of b(k). Solve x(n) = 0 for n.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/5 (b) 4 (c) 570 (d) 6.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9095 + 0?\nAnswer: 9095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1100)\/75*(102\/(-4) - 0)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 9*i - 72. What are the prime factors of c(14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 11*a - 57. Let k(j) = j**2 + j - 15. Let n be k(-6). Let y be x(n). Solve 5*w - 7 = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -0.1, -0.65, 2\/11, 2\/3, 26, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -296*f**5 + 818*f**3\/3 + 470. Find the third derivative of a(i) wrt i.\nAnswer: -35520*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 9. Let y be (-1 - (3 - (1 - 1)))*(-1725)\/(-2300). Sort 37, -4, y, p in decreasing order.\nAnswer: 37, y, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2577 + 12888\/5. Which is the third smallest value? (a) -14 (b) -0.3 (c) y (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (782\/1122)\/(49\/1617) - 171?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -660 - -5?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 39. Let u = z - 15. Suppose -u*d + m - 4*m + 285015 = 0, 4*d - 3*m - 227985 = 0. What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.4 (b) 36 (c) 0 (d) 7 (e) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -7. What is the lowest common multiple of 114 and (-8)\/p*-10*3?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10200, -9629, -9066, -8517, -7988?\nAnswer: -7485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 40.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -2)\/(-1 - 0). Solve -t*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -388 + 453. Suppose 2*j - 3*k - 63 = -2*k, -3*k - 156 = -5*j. Calculate the remainder when h is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-4) - 9\/(-3). Let m(t) = t**2 - 3*t + 1. Give m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -9802.3195?\nAnswer: -9802.3195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 1.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n - 30 = -4*n. Which is the closest to 2? (a) 1 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/16 + 5*q**3\/4 + q**2\/8 - 15*q\/4 - 1928. Factor y(p).\nAnswer: -(p - 15)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1033 - -891. Let b = r - -144. What is the lowest common multiple of b and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 1, q: 1}. What is prob of sequence xk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -15515?\nAnswer: -15514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4469174, -4469173, -4469172, -4469171, -4469170, -4469169?\nAnswer: -4469168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 5:32 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49548502 + 3*w**2 + 99097006 - 49548504.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c. Let o(p) = -7*p**2. Calculate b(o(t)).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 3, x: 1, z: 1, b: 1}. What is prob of sequence bza?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 + 79. Solve 4*j = 2*u - 0*u - 22, -b*u = -2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 43*b**2 + 84*b + 80. Let w be z(-41). Let o be 0 + 17\/102*366\/w. Sort 0.4, o, -2 in descending order.\nAnswer: 0.4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10042 = 23*p - 9766 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -1 - 3\/(-1) - -124. Let c = -34 + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1, -1\/3, 0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0 - 3*x)*(-x**4 - x**4 + 3*x**4).\nAnswer: -3*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 24*r - 3. Let i be o(5). Let q = 1\/12186 - 5709145\/48744. Let a = i + q. Find the common denominator of a and -83\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002065223 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -320718.404 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxbp when four letters picked without replacement from {x: 8, o: 2, p: 2, b: 3}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38006?\nAnswer: 2, 31, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from kvvkkkkvkvvkkkkkx.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9 + 14\/6. Let n(q) = 3*q**2 + q**v - 2*q + 0*q**3 + 6 + q**2. Let o = 2253 - 2258. Give n(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -29. Let q(d) = -6 - 5 - 1 - c - 29*d. What are the prime factors of q(-5)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*m**2*r + m**2 + 2256*m*r**3 - 2*m + 6*r**3 - 13*r**2 + 25*r + 10 wrt m?\nAnswer: -22*m*r + 2*m + 2256*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-3 + 1\/1). Suppose -4*s = -2*j + 24, -s - 12 = 2*s. Solve 2*a - 3 = 3*q, b*q + j*a = 2*q + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 680668 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35072 and 322772.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and -0.3805.\nAnswer: -0.3105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.58 + 31.58. Let w(f) = -2*f - 30. Let h be w(-17). Which is the nearest to y? (a) 5 (b) 0.1 (c) h (d) 5\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 + 0 + 3*t**2 + 3. Let n(m) be the second derivative of 0 + 5\/12*m**4 + 4*m + 0*m**2 + 0*m**3. Determine b(n(l)).\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*p**3*t**4 + 82*p**3*t**2 - 10*p**2*t**4 + 4*p**2*t**2 wrt t.\nAnswer: 696*p**3*t - 240*p**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439849885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 3, u: 1, b: 2}. What is prob of sequence ux?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128 - -32. Let u = v - -96.0000221. Round u to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiy when three letters picked without replacement from eeieimmiiiyti?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4405)\/(-25) - 8\/(-10). Suppose -2*v - 37 = -y. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 - h - 1. Let c be p(2). Suppose 0 = -4*u + 7*u - c. Let k be (((-54)\/12)\/(-1))\/((-6)\/(-8)). Which is bigger: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*y = -398, 6*y = -4*u + y + 1577. What are the prime factors of u?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let r(p) = -28*p**2. Calculate b(r(u)).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 11 - u**2)*(2 + 2 - 5) as h*u + p*u**2 + j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(304) + 3 + sqrt(19) + (sqrt(1216))**2 + -3.\nAnswer: 5*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + 388. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -19244, -77515, -174628, -310577, -485356?\n\"Answer: f**3 - 19427*f**2 + 3*f + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/4 - 43361*y**3\/2 - 1880176321*y**2\/4.\nAnswer: -y**2*(y + 43361)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12796*v**2 + 5729*v.\nAnswer: 25592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10468710.\nAnswer: 2, 3, 5, 7, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f - 66 = 0, -114 = -5*t - 0*f - 3*f. Suppose -m + t = 5*y, 2 + 0 = y. Calculate the remainder when 4\/14 - 145\/(-7) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b - 7213a3?\nAnswer: -721284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*n + 2*n. Let c be (-20)\/(-9) - n\/(-18). Let v(r) = -65*r + 263. Let i be v(4). Solve p = q + 4, -c*q + 3*p = i*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5, 17, 85, 223, 455, 805, 1297, 1955?\n\"Answer: 4*c**3 - c**2 - 3*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*y - 64727971*j**3 - 4865948*j**2*y**2 with respect to y.\nAnswer: 2*j**3 - 9731896*j**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 4)\/((-1)\/27). Suppose x - 51 = -5*j - 0*j, 3*j - 3*x = k. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -4*g + 142 - 202, 3*b - 3*g = 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -136*v + 1. Let d(p) be the first derivative of p**2\/2 - 161. Determine t(d(s)).\nAnswer: -136*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -5*w + 0 + 0*w**2 - 1\/42*w**4 - 1\/21*w**3. Factor s(a).\nAnswer: -2*a*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -317*d + 311*d - 12. Which is smaller: d or 4\/29?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(48)\/(sqrt(6)\/sqrt(3)))\/(2*sqrt(588)))**2.\nAnswer: 9\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/66 and -127\/19635.\nAnswer: 39270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25378 and -1961535193?\nAnswer: 1961560571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -14*(2 - (-15)\/(-6)). Suppose a = -2*k - 0*k - l, -k - 4*a - 21 = 0. Let d(o) = -2*o. Calculate d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p**3 - 7*p**2 - 10*p - 9. Is x(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m + 8. Give i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = -3*i. Is i not equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -600. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 3)*(5*x - x - x)*(-126896 + 761*x + 126896).\nAnswer: 4566*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 884269 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 6, e: 2, t: 1, l: 4}. Give prob of picking 1 e and 1 t.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54873344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/7 (b) -2\/9 (c) -0.01 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 29 (b) -1 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 40. Let a be y(-22). Suppose -5*k + 596 = 4*w, -a*w - 5*k - 124 = -19*w. Calculate the highest common factor of w and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((288\/12)\/4)*-138?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*w = -52, -53*w = -c - 58*w + 58 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1799?\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*d = 17355 - 75259 for d.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -12*b**3 - 5*b**2. Let u(c) be the third derivative of -c - 1\/20*c**6 + 0*c**4 - 1\/20*c**5 - 54*c**2 + 0*c**3 + 0. What is 3*k(a) - 5*u(a)?\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21*y**2 + 528*y + 522. Determine l(26).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 11:08 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321688 or 1286755\/4?\nAnswer: 1286755\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 64 - 2557*n + 2836*n.\nAnswer: 279*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 43. Let o be c(14). Let k(t) = t**2 - 1. Suppose -2*q = -5*q - 3. Let g(b) = -b - 3*b**2 + 8*b**2 - 6*b**2. Determine o*k(s) + q*g(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-22)*-92 - (-8)\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {s: 9, e: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -398178 from 0.6.\nAnswer: 398178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 203, 202, 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*13 - 0\/6. Let d = j + 16. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:02 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 8*v**2 + 8*v - 4. Let r be f(7). Let o = 4 + -3. Let q be (-6)\/(-15) + 4\/(-10). Put r, o, q in decreasing order.\nAnswer: r, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/(-1715)*(-70)\/(-224))\/((-7)\/((-147)\/(-18))).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/(w**(4\/11)\/w))\/(w**6)**(-11) assuming w is positive.\nAnswer: w**(755\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 13\/6*m**3 - 13*m + 0 + 0*m**2. Let w(u) = 5*u**2. Let t(x) = -10*x**2. Let r(y) = 3*t(y) + 7*w(y). Calculate p(r(o)).\nAnswer: 65*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 + -121. Which is the second biggest value? (a) p (b) -11\/4 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 16. Give x(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102*y + 80*y - 181*y + 699 to the form s*y + i and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42046380?\nAnswer: 2, 3, 5, 233591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r - 40*r + 54*a = -208, 4*r + 12 = -5*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -855176 times 9?\nAnswer: -7696584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/12 - 47*c**2\/2 - 81*c. What is the lowest common multiple of 20 and m(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3 - (3 - 0). Let d be (-1 - v)*(-1 - 1). Suppose d*l - 55 - 55 = 0. Round l to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102503717 is divided by 3109.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2 (b) 2 (c) -5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**3 - 30 + 30.\nAnswer: -33*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 + 3*q - 8. Let a be h(-7). Let z be ((-6)\/(-28))\/((-15)\/a). Sort -1, z, 3 in descending order.\nAnswer: 3, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 163*m**2. Let s(c) be the third derivative of c**6\/360 + 19*c**4\/12 - 14*c**2. Let l(o) be the second derivative of s(o). What is a(l(b))?\nAnswer: 652*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/40 - k**5\/20 - 18*k**2. Let g(f) = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 15*r = 42. Let z = -182 + 321. Suppose 2*t = -d - 3*d + 558, d + t - z = 0. Calculate the highest common divisor of r and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8111 plus -2.13?\nAnswer: 2.6811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(-1)*(-40)\/90?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 - 27*b**2 + 71*b - 26. Calculate the remainder when x(13) is divided by 107.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)\/((-4)\/40). Let v be s\/(1 - (-4)\/4). Suppose b - v*o = 12, 2*b - 6*o - 14 = -o. What is the least common multiple of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104204 (base 9) to base 3.\nAnswer: 10011020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/1061 + 908\/18037. Let p = 2.1 - 14.1. Let k = p + 12.1. Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77575 + -670?\nAnswer: -78355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1462 and -2.9.\nAnswer: 1459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3247570 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -26*a**5 + 3*a**4 + 4*a**2 + 80*a - 4. Let h(y) = -2*y**5 + y**2 - 1. Let r(b) = 4*h(b) - w(b). Find the second derivative of r(m) wrt m.\nAnswer: 360*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6457.04 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.168 - -9.168. Sort 63.1, 0.3, d in increasing order.\nAnswer: d, 0.3, 63.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 89473 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 8:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1884514955.\nAnswer: 5, 31, 12158161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 3) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*p**3 - 152877*p + 152877*p.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q - 13. Let b be -4*(-1)\/((-2)\/5). Is j(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51360.34nm to meters.\nAnswer: 0.00005136034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.5 + -0.5. Let u = -2.22 + -9.78. Let f = q + u. Which is the smallest value? (a) 0.2 (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144293 is divided by 128.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 107*r - 1206. Let l be s(-10). Solve 24*q + l = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6847842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*f - 45, -36*f - 25 = -5*r - 41*f. Solve r*o = 6*o + 5*h + 30, -5*o + 3*h + 18 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a hour in seconds?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403*l + 6440 = -357*l. Is l at least 138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.24284 to 2 decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y + 38430 = -30760. What is y rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20092 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 >= 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -10 - (4 + -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.1 + 2.2. Let h = 3.33 + b. Let l = -3.33 + h. What is l rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-6)*(-43)\/((-1935)\/972). What is the highest common divisor of 540 and s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 14 - (51 + 56 + -148 + 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3871920 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33564*b**4*s**2 - 121*b**3*s**2 - 31685*b**2 - 2*b*s**2 + s**2 - 4*s - 3 wrt b?\nAnswer: 805536*b*s**2 - 726*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83231*l**2 - 326072*l wrt l?\nAnswer: -166462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/6221639 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27253, -54507, -81759, -109009, -136257?\n\"Answer: u**2 - 27257*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -82 and -82 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -1374.\nAnswer: 83\/1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -53, -139, -301, -563, -949, -1483?\n\"Answer: -4*o**3 - 2*o**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -106516 divided by 53258\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716496626 to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/644071 and -54\/779.\nAnswer: 501731309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 2*r - 7*r, 8 = -2*o + 3*r. Let s be o - -5 - (-10)\/(3 - 1). Is 7 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, z: 1, j: 2, i: 1, k: 6, e: 7}. What is prob of picking 1 k and 1 c?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 196644 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - 2*(sqrt(72) + -1)) + sqrt(72) + sqrt(72))**2 - sqrt(72)) + -3.\nAnswer: 18*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 18*k + 79. Let t = k + -80. Let c(p) = -8*p**3 - 3*p - 3. Calculate the remainder when 21 is divided by c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 19. Let a(r) = 22*r. Calculate k(a(z)).\nAnswer: -44*z - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (9 - 14 - 2) - (5 - (-1 - 1))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3033.92ml to litres.\nAnswer: 3.03392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000123176286 to 6 dps.\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 9*d - 31 = 5*d, -3*d - 31 = -4*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -2*z, -z - 191 = -3*h - 204 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -0.32. Let o = 1094\/7 + -156. What is the biggest value in o, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriririiijrj. Give prob of sequence rj.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 17 = -5*g + k, -5*g = 2*k - 31. Let b be 35200\/72 + 5\/(-270)*-6. Suppose -g*w = -b - 141. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -7. Suppose 0 = g - 2 - k. Solve 3*m - g*u + 9 = m, -14 = 5*m + u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*j + 179, -8*s + 6*s + 10 = 0. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24015*a**3*u**3*w - 6238*a**3 - 2*a*u**2*w + 2*a*u*w wrt u?\nAnswer: -144090*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -7. Let t = -0.35 - -0.03. Let f = -0.02 - t. Which is the smallest value? (a) w (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 47*o**2 - 2*o + 106. Let h be t(47). What is the third derivative of 9 - 301*b**5 - 1411*b**4 + 1411*b**4 - h*b**2 wrt b?\nAnswer: -18060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/17 in 56, 0.1, 51, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -66. Suppose y*r = -2*k, -1 + 8 = k - r. Suppose 7*m - 33 + k = 0. Solve -m = 3*p + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 - n**2 - 4*n + 5. Let c(w) = w**3 + w - 1. Let v(l) = -3*c(l) - m(l). Give v(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 33668950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (144\/(-360))\/((-2)\/20). Let u(x) be the second derivative of -1\/20*x**a - 1\/150*x**6 + 0 - 1\/30*x**3 + 0*x**2 + x - 3\/100*x**5. Factor u(k).\nAnswer: -k*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 - 2 + 2 + (3*k - 2*k**2 - 3*k)*(2 - 2 + 2*k) + 30*k - 30*k - 26*k**3 + (3*k - 3*k + 3*k**2)*(3*k - 15*k + 10*k).\nAnswer: -37*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = 3*j - 26*i - 11, 0 = 4*j - 3*i - 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*m + 7*m, 0 = -q - m. Suppose 0 = -3*n - 0*a + 4*a + 627, -3*a = q. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1955239 and 6655?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from uuttutau.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*p*z**2 + 16*a*p*z - 332*a*z**2 - 2*a*z + 53*p*z**2 wrt p.\nAnswer: -2*a*z**2 + 16*a*z + 53*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1904193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 476 + 479 = -3*q, -4*q = -11*q + x - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -85.7 and 140401.\nAnswer: -12032365.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.05052801 rounded to 4 dps?\nAnswer: 2.0505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - (3 - 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1151 + 18. Suppose 3*o + o + 4*d - 8 = 0, 2*d = -3*o + 9. Suppose -o*m + 9*m = 5*t + 4680, m - t = x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 13*m**2 + 38*m + 18. Let u(t) = -568*t - 8514. Let j be u(-15). Give y(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.8 + -4.6. Is v greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let o be 4\/6 + 40\/12. Let k be -1 - (1 - o\/(-2)). Put 3, k, p in descending order.\nAnswer: p, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 12:51 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*a + 49. Suppose -10*x = -a*x. Let s(l) = -l**3 - l**2 + 43. What is the tens digit of s(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5240343 (base 6) to base 9\nAnswer: 426560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, 0.2, 6, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyeyylyyeylleye. What is prob of picking 2 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12133698 - 12133706 + 24267404 - 4*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29101, 29106, 29121, 29152, 29205, 29286, 29401?\n\"Answer: g**3 - g**2 + g + 29100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1152 = -0*x. Let o = 99\/1483 - -7571899\/26694. Let y = o - x. Calculate the common denominator of -73\/36 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j - 11. Let p = -7 - -13. Calculate the remainder when t(5) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*a - 8*a + 220 = 0, -370 = -5*x - 5*a. Let d = x + -72. Suppose 26 - 32 = -d*g. Solve 5*z = -3 - g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/2 + 6 - 1. Let c be (6 - 3)\/(b - -1). Factor -c - 1\/4*l**2 + 5\/4*l.\nAnswer: -(l - 3)*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -570770 * 2.\nAnswer: -1141540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1536887.\nAnswer: 11, 31, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + f - 8. Let z(w) = 3*w**2 + 3*w - 25. Give 8*h(a) - 3*z(a).\nAnswer: -a**2 - a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -10. Suppose 0 = -96*v + 99*v + 12. Let y be g\/14*42\/v. Is y >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3748*t**3 - 2*t + 2*t.\nAnswer: 3748*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-one quarters of a second?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-4) + (-7)\/28. Which is smaller: u or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a, -3*r - 4*a - 20 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*f = -37, -5*f - 13 = -4*q + 14 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121756 is divided by 3639.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -3170.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42217586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/297)\/((1\/105)\/((-174)\/145))?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (-52)\/(-39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63864 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1)\/q)\/q*q)**14*(q**(2\/7)*q*q)**(-23\/5))\/((q**2*q)**(4\/7)*(q*q**2)**(2\/7)) assuming q is positive.\nAnswer: q**(-948\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + 534*j - 601 + 2*j**2 + 598)*(2*j**2 - 3 + 3) in the form c*j + y*j**4 + x*j**3 + o*j**2 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -119*l**5\/20 - 63*l**3 - 16*l**2 + l. What is the first derivative of h(g) wrt g?\nAnswer: -714*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*z**3 - 10585064*z**2 - 11663298*z - 11?\nAnswer: 30*z - 21170128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9540 + 16145. Round d to the nearest 100.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*j - 9 - 7 = 0, 0 = -2*i + 3*j + 4. Let d = i + -6. Let f(h) = h**2 + h. Let y = 7 - 11. Let l(n) = -3*n**2 - 4*n. Give d*l(p) + y*f(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from mhzkhz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 54381120 to the nearest 100000.\nAnswer: 54400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h**3 - 21*h**2 - 21*h + 21. Let y(v) = v**2 + v - 1. Let z(f) = -8*f**2 + 436*f + 226. Let w be z(55). Calculate w*k(p) + 126*y(p).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141648587*n**4 + 39*n**2 + 2893442 wrt n.\nAnswer: -3399566088*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32822 + 34?\nAnswer: 32856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -116473 (base 8) in base 9?\nAnswer: -61183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 210 = -3*n. Solve n*w + 18 = -52 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzqsquozquuzonno. Give prob of sequence onzz.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydmzsmsmzmkkymyzsmys. Give prob of picking 1 d, 1 s, and 1 z.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 3020, 10011, 23568, 45875, 79116?\nAnswer: 125475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3573, 3458, 3343, 3228, 3113?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-16 + 21 + 13)*(0 - 1 + 3) + 1 + 2 - 2 + 5 - 2 - 4)*(3*q + q**2 + 4 - 3 + q) to the form i + h*q + d*q**2 and give h.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -14\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:34 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-804)\/(-7236))\/((4*(-5)\/900)\/1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 1 - 1)*(-334*u + 167*u - 2 - 13*u**3 + 169*u - 2*u**2) in the form l*u + h*u**4 + g*u**3 + m*u**2 + t and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-13 + 3 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8)\/((-2)\/180). Let k = y + 46. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3 - a70160?\nAnswer: -a70068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + 39*r**2 - 3*r - 33. Calculate g(-7).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - 0\/2. Let y = -0.49482 + 5.49482. Which is the biggest value? (a) 8 (b) -0.5 (c) y (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l + 11. What are the prime factors of n(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 19*d**2 - 10*d - 159. Let h be o(-19). Round h to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 42921 (c) -1\/4 (d) 2\/7 (e) 2\/25 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/15)\/x)**(-6)\/((x\/x**(6\/7))\/(x\/x**(1\/2))) assuming x is positive.\nAnswer: x**(473\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 34*h**2 + 751*h + 81. Calculate u(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j = 0. Suppose -12*x + 15 + 45 = j. Suppose -z + 30 = x*z. Solve -2*n = 2*g + 12 - 2, -z*g = -3*n - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55485248 and 10898888.\nAnswer: 610337728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -16 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 71, 50, 17, -34, -109, -214, -355?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/(-12)*80\/(-300)*72\/64*4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 628 + 658 = 0. Suppose -48\/5 - 28\/15*b**w + 8*b + 2\/15*b**3 = 0. What is b?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {p: 4, o: 3, w: 11, u: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 + -3 - -5. Let x = 0 + y. Solve 0 = x*t + 2*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u*u**(-2\/7)*u)\/u))**(-10\/3)\/(u**(2\/11)\/((u**(-1\/3)\/u)\/u)))**(-37))**(-45) assuming u is positive.\nAnswer: u**(-17205\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 32.02238 microseconds?\nAnswer: 32022.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138892647 by 9561.\nAnswer: -14527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5, 2.9, 0.5, -1\/2 in ascending order.\nAnswer: -5, -1\/2, 0.4, 0.5, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzvzqozzoo. What is prob of sequence vo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 925 - 943 = 7*t, -4*t = s - 6 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 213*d + 1835. Calculate s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/3, 2, -1\/3, 0.2, -5, 8, -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.9 + 10.9. Sort -1, -1\/3, i, -2.7 in ascending order.\nAnswer: -2.7, -1, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -107947 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from ofeoeyfyhoyoohoe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -1 - (-3 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Expand (1 + 1 - 4)*(1 - g**3 - 1) - 5*g**3 - 12*g**3 + 12*g**3 - 2*g**2.\nAnswer: -3*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14043365.54700602 - 14043365. Let t = c - 0.547. What is t rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - -633. Suppose 2*y - 4*v = -0*y + 434, -j = -3*y - 3*v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10228857?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 2*l\/3 - 4\/3.\nAnswer: 2*(l - 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - 4. Calculate the remainder when 21 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 4*r - 26. Let l(y) = -4 - y + 3 + 0*y**3 - y**3 + 2 - 2*y**r. What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 + 88*t - 25*t**2 - 55*t**4 + 8*t**3 + 4183*t**5 + 192*t**3 - 4193*t**5 - 278*t = 0. What is t?\nAnswer: -8, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*i = -2*g + 8, 2 = g - 2*i. Let z(y) = y**2 - 4. Let o be z(g). Suppose -7 = b + 4*p, o = 4*b + b - 5*p - 40. Solve 2*c + b = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2555046 and 98271?\nAnswer: 2555046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*o**2 + 1 + 12*o - 1 - 14*o to the form b*o + k*o**2 + a and give k.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5388.\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19525\/42 - 3162\/7. Calculate the common denominator of j and 8\/(-20)*(-174)\/8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 3*q - 16. What is the hundreds digit of a(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, 2, -282 in increasing order.\nAnswer: -282, -25, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5*(-3 + sqrt(171) + -1))**2 + -4 + 4 + (sqrt(171) + sqrt(171) + -1 + -3 + sqrt(171))**2.\nAnswer: -732*sqrt(19) + 6314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*g = 5, 0 = -b + 4*g - 14 - 5. Is 2 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {a: 6, t: 1, b: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/3)*q**(-2)*q**(-4\/3)*q*((q*q*q\/(q**(4\/3)\/q)*q)\/q)\/q)**(29\/3) assuming q is positive.\nAnswer: q**(145\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262910 + 452?\nAnswer: 263362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*i*w**2 - i*w + 4*i + 3*w**5 - 6*w wrt w.\nAnswer: 714*i + 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:23 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + 3.92. Let r = -3.9 + q. Let l = -10 + 13. What is the nearest to -0.1 in l, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/150)\/(77\/(-1155)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51 + -62 + (11 - -2). Solve -2*x + 0*x = -g*v - 12, -v = 2*x - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 22. Let b be l(0). Let v = -16 + b. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.6 + 61. Which is the biggest value? (a) -0.2 (b) 0.2 (c) z (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 66. Let v be x(-41). Let i be ((-12)\/(-16))\/((-2)\/v). Solve -4*z - 18 = 2*c, 0*z + i = -4*z + 2*c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89 - 184*r**3 - 89 + (-5*r - 2*r + 0*r)*(2*r**2 + 3*r**2 - 3*r**2).\nAnswer: -198*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 6 + 6. Suppose n - j*a = -n + 18, 20 = -5*a. Suppose -4*k + r - 4 = 8, 0 = -3*k + n*r - 18. Is -4 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2325?\nAnswer: -11625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Let x(c) = -c**3 - 5*c**2 - 5*c - 19. Let m be x(-5). Suppose -5*z = 2*g + m, -12 + 3 = 2*z + 3*g. What is the third smallest value in 4, y, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 4\/15*o**3 + 27\/50*o**5 + 4*o**2 + 6*o + 0 - 3\/5*o**4. Let a(f) be the first derivative of t(f). What is b in a(b) = 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226728?\nAnswer: 2, 23, 59, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**3 + 10*f**2 - 56*f - 4. Let r be d(3). Solve 20 + r = 22*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 8*i**2 + 10*i - 12. Let u be v(9). Let y be (-3)\/(-2)*u\/9. Which is the smallest value? (a) y (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = -1. Let n = 3 + q. Find the third derivative of -n*v**5 + 4*v**5 - 3*v**5 - v**2 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/4 (c) -4 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(50) + (sqrt(133) - (sqrt(133)*2 - sqrt(133)))\/sqrt(7).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjj when three letters picked without replacement from {p: 3, j: 3, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1031111 (base 4) to base 5\nAnswer: -124244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 39 = 37*i. Let v(n) = 20*n - 2. Determine v(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013100809.\nAnswer: 7, 229, 613, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 488850848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 262 + -86 + -43.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65864747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-16 + 28 + -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t - 3. Suppose 0 = -5*m - 5*f, -f + 3 - 5 = 2*m. Let p = 846 + -841. Calculate the smallest common multiple of p and a(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*p + 112, -3*k - 2*p + 118 = 3*p. What is the greatest common divisor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 2. Let p(u) = u - 1. Let g(v) = 5*p(v) - r(v). Let m(y) = 16*y - 16. Determine -11*g(z) + 2*m(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-12 + 2 + 22)) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 - a**5\/10 - a**4\/24 - 15*a**2. What are the prime factors of t(-7)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d + 7. Calculate t(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.61 * -2.8\nAnswer: 10.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -40\/49, 4\/9, -0.05, 7, 33 in increasing order.\nAnswer: -40\/49, -0.05, 4\/9, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in 120, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 116149*p**4 - 395*p**2 + 90682134?\nAnswer: 464596*p**3 - 790*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 112 + 96 = -5*d, 0 = -g - 4*d + 104. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10487 - -10477. Is -372 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one third of a century in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l - 2 = -62*l. Let d(q) = 7*q**2 - 3*q + 1. Let f be d(l). Solve 3 = 4*a + f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = a - 230, v + a - 44 = 12. Solve -61*d + v*d + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100979 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139\/10 - -57\/5. Let w = 2482\/7 - 354. Let l = -0.5 + 0. Which is the third biggest value? (a) l (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258*f**3 + 360 wrt f?\nAnswer: 774*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 80 = -16. Let b = -59 + h. Solve -4*f - b*a + 11 = -7, 0 = -2*f + 2*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*4\/4*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 50.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 + 5*b + 1. Let g be m(-3). Let t = 109 - g. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13518 divided by -2\nAnswer: -6759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/11, -96, -0.16, 3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i. What is p(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*d - 98. Suppose -2*z = -4, d*z = -2*w - 2*w + 752. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 1, -7, -5.\nAnswer: -43, -7, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*x - 4, -4*x - 14 = -2*d - 0*d. Let g be (-6)\/(-10) - (-2)\/5. Let f = 3 + g. Sort d, 3\/5, f in descending order.\nAnswer: f, d, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 1. Let t(u) = 5*u - 5. Let q(n) = -6*p(n) + t(n). Let s be (0 - -1)*(-10)\/(-2). Calculate q(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1344490, -2688977, -4033464, -5377951, -6722438, -8066925?\n\"Answer: -1344487*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 25 = 3*k, -1 = 2*b + k - 0. What is the second derivative of -15*w + 2*w**2 + 3*w**b + 5*w - 2*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**5\/25 + 19*z**4\/5 + 112*z**3\/5 + 487. Factor s(c).\nAnswer: -2*c**2*(c - 42)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -16*s**2 + 0*s + 5\/24*s**4 + 1\/60*s**5 + 0 - 4\/3*s**3. Calculate the smallest common multiple of 56 and y(-7).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20031 + -234322?\nAnswer: -214241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 461*q**2*r - 57*q**2 + 550*q - 1242*r**4 + 6 wrt r.\nAnswer: 461*q**2 - 4968*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1329 + 1569. What is the smallest common multiple of 14 and t?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + -2 + 447313\/1932. Let v = -8029672\/23 + 349347. Let j = w - v. What is the common denominator of -95\/6 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-12) + -9 + (-728)\/(-72).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(((-7)\/(-4))\/7). Let h(p) = p - 4. Let g be h(y). Let t be 6\/g + ((-36)\/(-8) - 0). Let j(b) = -b**3 + 7*b**2 - 7*b + 7. Determine j(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -323, -749, -1189, -1649, -2135?\n\"Answer: -d**3 - d**2 - 416*d + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*c**5*m + 31*c**3*m - c**2*m**3 + 36*c*m**3 - 3*c*m**2 - 7*m**3 + m wrt c.\nAnswer: -720*c**3*m + 186*c*m - 2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 59 = -4*z - 3, -3*c = 0. Let u(n) = -n**2 + 14*n + 8. Let k be u(z). Solve 0 = -2*g + k + 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 2:47 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837450.\nAnswer: 2, 3, 5, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.4 - -7.6. Let f = -32.15 + u. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6453673 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Suppose 2*k - 3 + 9 = 0. Let s be (1 + k)*(-2)\/(-1). Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1219312 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9453 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 30. Let d = w - 13. Suppose k - 30 - 49 = d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + 13*g**2 - 7*g + 14. What is the least common multiple of 296 and v(3)?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -74 - 118. Let f = 28 + -12. What is the highest common factor of f and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.036 - -28. Let n = 0.0359992 + t. Round n to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -95618053, -191236109, -286854163, -382472215, -478090265, -573708313?\n\"Answer: q**2 - 95618059*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, f: 11}. What is prob of sequence of?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -8. Let g = y - -17. Suppose s - g = -3*d, -d - 4*d = 2*s - 18. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -175709\/283 < -620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/441 and -80\/1617.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10755 is divided by 5320?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2471878, 4943766, 7415654, 9887542, 12359430?\n\"Answer: 2471888*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/2 - 4818892*a + 11610860053832 = 0.\nAnswer: 4818892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 22 = d, 35 - 9 = x + 5*d. Let h(w) be the third derivative of 0 + 1\/24*w**4 + 0*w + 1\/3*w**3 - 2*w**2. Give h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.5314 - 0.7404. Let b = 0.009 + n. Let i = -3.3 + b. Sort -5, i, 4 in descending order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -6 - 0. Let r = -7 - k. Let o(i) = -10*i + 6. What is the tens digit of o(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 223227\/35 or 6378?\nAnswer: 6378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/(3\/(-9) - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 11*w = -3. Let t(s) be the first derivative of 75\/8*s**2 + 185\/12*s**3 + 5\/2*s + 205\/16*s**4 + 5\/6*s**6 + 21\/4*s**5 + w. What is l in t(l) = 0?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/96 - (-234)\/(-8). Is g at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.077\nAnswer: -0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1180*p**2 - 3*p**3 - 1127*p**2 - 1167*p**2 + 3474*p**2 + 39.\nAnswer: -3*p**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 15 = -5*t, 3054*t = 3*o + 3047*t + 21 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 428\/5 - 86. What is the smallest value in 1, -2\/17, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0 + 3*1. Let v(q) = 20. Let m(c) = -c - 81. Let j(l) = -2*m(l) - 9*v(l). Let k be j(14). What is the highest common factor of k and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 2 = -10*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180*z - 173 wrt z?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.49.\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/570 and -23\/136530?\nAnswer: 2594070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 235.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2304 and 1752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 1, -37, -2, -9 in descending order.\nAnswer: 1, 0, -2, -9, -12, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 2*j**2 + 106. Let g be h(0). Suppose 2*l + g = 3*l + 2*z, 86 = l - 3*z. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -578 + 577. Put p, 1, 1\/125, 4 in increasing order.\nAnswer: p, 1\/125, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + 47. Suppose 2*j + 40 = 4*k - 3*k, -s = -3*k + 2*j. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227*2\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -332*p**7\/21 - 1403*p**3\/3 + p**2 - 1942. Find the first derivative of u(y) wrt y.\nAnswer: -13280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i. Let o(c) = 19949*c + 110. What is o(w(k))?\nAnswer: 359082*k + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 54361*d**2. Let x(s) = -48*s. Determine x(b(w)).\nAnswer: -2609328*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 16*k + 5*k**2 - 5*k**2 + 4*k**2 + 6.\nAnswer: 4*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57191.34 to the nearest 100.\nAnswer: -57200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/(-2)*(-2 - 8). Suppose 5*l + 5*z - t = 0, -5*z - 103 = -5*l + l. Calculate the greatest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32930 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2856*l**2 + 1452*l**2 + 1397*l**2 - l**3.\nAnswer: -l**3 - 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/(2\/3). Calculate the greatest common divisor of d and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044627095 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-7 + -30 - -18) - (-1 + -1) - 56.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006713137 rounded to 6 decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - 0. Let o = -6 - n. Let c be (4 - 6)*(-5)\/2. What is the second smallest value in o, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkiq when four letters picked without replacement from rkqkqrkqkrrrri.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*n + 62 = 0, n - 3*n - 68 = -2*a. Let u = 41 - a. Solve j = 6*m - m - 22, -2*m + u*j = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by -1.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -303.9654876 to the nearest integer.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -401485.415 rounded to the nearest one thousand?\nAnswer: -401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-21)*u*u**(-10)*(u**(10\/9))**7 assuming u is positive.\nAnswer: u**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 less than -1.915602563?\nAnswer: -3.215602563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5*36\/330)\/(1*(-3)\/(-1))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 20. Calculate d(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6636.6672*10.\nAnswer: -66366.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -653 (c) 0.58 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49 - 28*s - 49)*(-2*s + 0*s + 0*s) to p*s**2 + u*s + c and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**4\/6 - 3*r. Suppose 0*s - 3*s = -3. Let g(t) = -1 - 2*t + s. What is i(g(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*n + 4, 4*n - 21 + 1 = r. Suppose 152 + 188 = n*k. Let h = k - 79. Solve h*c - 15 = 9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128553501 to the power of 1\/2, to the nearest integer?\nAnswer: 11338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*a**2 - 9*a**2 - 26*a**2 + 6*a**2 as v*a**2 + s*a + t and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 37\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 42*p**2 - 2471*p + 138. What is j(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - -1. Suppose 2*a - 3*r - 3 = 0, 3*r - 42 = -3*a - 0*r. Calculate the remainder when z is divided by ((-24)\/a)\/((-4)\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75 times -4497?\nAnswer: -7869.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + 8. Solve 5*v + a = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*l - 77. Let s(y) = -10 + 3*y - y - l*y. Let g(c) = c + 4. Let o(v) = v + 5. Let a(k) = -3*g(k) + 2*o(k). Calculate -11*a(d) + 2*s(d).\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r. Let i be u(-3). Let v be 8\/i - 2434\/(-18). Suppose -35 + 8 = -s - 2*p, -5*s + 2*p = -v. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-4)**2 - (sqrt(304)*3)**2) + -5.\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 4*i. Let h(a) = 6*a**2 - 22*a. Let f(j) = -2*h(j) + 11*u(j). Let v = 8 + -6. Let t(p) = -5*p**2 + 18*p**2 + 4*p**v. Determine f(t(s)).\nAnswer: -289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56196?\nAnswer: 2, 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2058.3 + -2058. What is the third biggest value in 5, z, 5984?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 + 3. Let g(a) = 3*a**2 - 4. Let l(d) = -2*d**2 - 14*d + 117. Let r be l(5). Calculate r*f(u) - 2*g(u).\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1390 < -1396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(-9*28\/630)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 1, -10, 2 in increasing order.\nAnswer: -10, -2\/21, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-5))\/(36\/90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 618 and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 9*s + 7. Let u be y(-6). Suppose p - u = -4*p. Solve -p*m + 9 = 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890048 is divided by 145365.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrqcrrfqccfrfrqc. Give prob of picking 1 f and 2 c.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y + 204 - 204.\nAnswer: 57*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08543 to 3 dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101020101 - 0?\nAnswer: 101020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - (-13 + -95) - (-8 + (-1 - 2)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152c7a7 (base 13) in base 11?\nAnswer: -3902a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23859 - 1954*s**2 + 316*s**2 - 23859.\nAnswer: -1638*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -29*p**3 - 2*p**2 + 11009*p + 13902858 wrt p?\nAnswer: -87*p**2 - 4*p + 11009","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4802118020 to the nearest 1000000.\nAnswer: 4802000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 14*p**2 - 434*p + 6280. Give c(14).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (0 + -3 + -1 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-36 - (-23 + -5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t**2 - 188*t**2 - 7*t**2.\nAnswer: -215*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*g - 4*g - 26, g = -5. Let z be (j - 1)\/((-2)\/(-6)). Sort -3, -4, z in descending order.\nAnswer: -3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 1241244283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.7 - -12.65. Let n(l) = l**2 + 8*l + 12. Let o be n(-5). What is the closest to o in 2, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*c + 10, 110*c = 2*n + 113*c - 20 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -317.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101463, -405942, -913435, -1623942, -2537463, -3653998?\nAnswer: -4973547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(3\/2)*l*l**(-3))\/(l*(l\/l**(-31)*l)\/l*l**32) assuming l is positive.\nAnswer: l**(-127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 65 = 2*i. Suppose 3*k = -4*t - 181, -133 = t + 2*t + 5*k. Let v = t - i. What is the highest common factor of 209 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399161 is divided by 9735?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*t - 328*t - 385 + 385 in the form z + x*t and give x.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11110211 - 11011000210?\nAnswer: -11022111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-2 - (-11)\/3). Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.276 (c) -2 (d) -3\/2 (e) -4 (f) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -14\/15*b**5 + 0*b + 1\/12*b**4 + 4\/3*b**3 + 0 + 2\/35*b**7 - 21*b**2 + 17\/60*b**6. Solve f(u) = 0 for u.\nAnswer: -4, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 3*q. Let j(v) = 4 + q*v + 30314*v**3 + v + 22*v**2 - 29*v**2. Let f be j(4). Round f to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220101 - -1212111?\nAnswer: 111202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*d**5 - 17*d**5 + 18*d**5)*(101 - 3 - 17).\nAnswer: 5427*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1331823, 1331829, 1331835, 1331841, 1331847, 1331853?\n\"Answer: 6*f + 1331817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 5.9. Let k = 2 - 2.4. Sort k, 5, i in ascending order.\nAnswer: k, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 21*p + 82. Determine b(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3)*t)\/t)\/t**13)**(2\/153) assuming t is positive.\nAnswer: t**(-74\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1350 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)**(-17\/3) assuming c is positive.\nAnswer: c**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 4*x**2 + 2*x + 2. Let g(o) be the second derivative of o**5\/20 - o**4\/2 - 3*o**3\/2 + 5*o**2 + 3*o. Let f be g(7). Determine q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/28 and -65\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 21 + (-39 - -17) + (1 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 4*j**5 - 2*j**5 + (-j**3 + j**3 + 2*j**4)*(j + 3*j - 3*j) + (2*j + j - 2*j)*(97 - 97 + 99*j**4).\nAnswer: 105*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose 4*u = -u + 4*m + 8, -r*m = -2*u + 8. Suppose 0 = -j - 0*j - 5*d + 11, -j - 4*d + 9 = u. What is the lowest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001277 rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 371017 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:02 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + c + 16 - 3, 2 = v + c. Let x be 2 - (-2 + -40)\/v. Suppose -x = -3*w + 5. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127.3 - 132.3. Which is the second biggest value? (a) 0 (b) 0.069 (c) -1\/4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0113218 to 4 dps.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446 = -5*s - 2*i, -2*i - 6 = -0*i. Suppose y + 5*f - 2*f + 6 = 0, y = -4*f - 9. Calculate the remainder when 67 is divided by (y\/4)\/((-12)\/s).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(8)\/sqrt(4)*4 - (sqrt(2) + sqrt(2) + 0 + -4)) + 2 + sqrt(8)\/(sqrt(4)*2)))**2*-5 + 2.\nAnswer: -12121\/2 - 3750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -11*h**4\/24 - 9*h**3\/2 + 8*h**2. List the prime factors of v(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2264*p - 2269*p + 70*a = 75, 0 = -2*p + a + 24 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 - 174*l**2 + 5*l - 66596 with respect to l.\nAnswer: 6*l**2 - 348*l + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**5\/20 - 5*s**4\/8 - 87*s**2 + 100*s. Let c(n) be the first derivative of z(n). Let c(i) = 0. What is i?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 60*l + 3143. Determine g(-79).\nAnswer: 1642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*i = 156, -4*u + 145*i = 146*i - 143. Solve -34*f + 0*f - u = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14972498 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382530 and 5002.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjlljjjl.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 6*n + 10. Let s be t(-7). Let y be 3 - (s - (-3 - (-144)\/(-4))). Let o = 125 + y. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.1. Let d = n - 2.7. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18819 and 4131?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 17*z**2 - 3*z - 6. Give o(2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25506 and 2943?\nAnswer: 76518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(102) + sqrt(102) - sqrt(102))*4 - (3*-3*sqrt(102) - sqrt(102)))\/(5*(sqrt(54) - (sqrt(864) - ((-1*sqrt(864) - sqrt(864)) + sqrt(864))))).\nAnswer: -1 - 2*sqrt(17)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -530, -526, -532, -554, -598, -670, -776?\n\"Answer: -d**3 + d**2 + 8*d - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 35*c. Let s(y) = -5*y - 10. Let o(m) = 35*m + 75. Let i(b) = 2*o(b) + 15*s(b). What is j(i(u))?\nAnswer: -175*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(-3\/5)))**(-10)\/((h\/((h\/(h\/(h\/h**(1\/18))*h))\/h))\/h**(-8)))**41 assuming h is positive.\nAnswer: h**(-19229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1991796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let a be (-4*1)\/(-1*2). Let t(o) = o**2 + 4*o**a - 2*o**2 - o**2. What is f(t(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q - 5. Let s be a(4). Suppose 0 = -3*n - 3*h - s, -3*n - 5*h - 16 - 3 = 0. Let g be 3 - 1 - (n + 2). Let y(m) = 2*m**2 - 4*m. Calculate y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0, 4 in descending order.\nAnswer: 4, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 5*d**2 + 6*d - 4. Let v be t(-5). Let g be (-33 - v) + 4*1. Suppose -14 = -2*j - g*a, 4*a + 6 = 7*a. Solve -j*o = -0 + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 56. Suppose -4*i + v = -0*i. Suppose i = 5*t - 33. Calculate the highest common divisor of 88 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -29 - (-2 + 0) - 28\/6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 + 11321*i - 33954 = 0.\nAnswer: 3, 11318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -72, -78?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23269 - 2861 = -39*h. What is the greatest common factor of h and 402?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0482666cm in millimeters?\nAnswer: 0.482666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/((-64)\/(-24) + -2). Let x be (-9)\/i - 61\/(-3) - 5. Solve -5*p - x = 5*g - 45, 0 = -p + g - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - -0.21. Suppose 5*q = -0*q. What is the third biggest value in q, l, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 11:08 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -15*x - 7. Let f be (-5)\/105*6 + (-94)\/14. Let i(g) = -8*g - 4. What is f*i(h) + 4*z(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqzt when four letters picked without replacement from {x: 2, z: 2, l: 1, d: 5, t: 2, q: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60684405 to the nearest integer?\nAnswer: 7790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-9)*90\/60.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 6) to base 2.\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4056.4 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1448690, 1448692, 1448694?\n\"Answer: 2*o + 1448688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3495032289 to the nearest integer?\nAnswer: 59119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -64*q - 53*q + 130*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 65.\nAnswer: -548\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2358*g + 32*g = 404*g - 201072 + 46164 for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -76. Suppose -r*k + 15 = -4*x, -3*x - 10 = -4*x - 2*k. Suppose 3*j + 11 - 38 = x. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1013, 996, 979, 962, 945?\n\"Answer: -17*a + 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 43. Suppose u*g - 8 = g. Suppose 5*t + 4*l - 16 = 4, 4*t - l - 16 = 0. Solve -5*y = -g*q - q - 19, -8 = -t*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 106 - -3?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3542, -7162, -10782?\nAnswer: -14402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16)\/sqrt(4))\/sqrt(2))**2 - (sqrt(8)\/sqrt(4))**2*2 - ((-3 + -1*sqrt(242))**2 + 3)) + -4.\nAnswer: -260 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6853589 and 195.\nAnswer: 6853784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 3*f**2 + 2*f. What is k(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 93. Let p be l\/(-4 - 28\/(-6)). Suppose -12 = -p*w - 3. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.042, 0.6, 4, 0.2 in decreasing order.\nAnswer: 4, 0.6, 0.2, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16) + (-15)\/40?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3 + 28*y**2 + 128*y + 192 = 0. What is y?\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47887 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3\/7*y**4 - 39\/7*y**2 + 36\/7 - 33\/7*y + 33\/7*y**3 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11830764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 478?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5370.138 - -5341.13789. Let n = -28.985 + -0.015. Let i = n - f. What is i rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s - 3. Let z be k(-4). Suppose -l - 8 = -z*l. Let x(f) = -4*f**3 - 1 + 3*f**3 + 3*f - 3*f**2 + 4*f**l. What is x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*p)**(-1\/3)*(p**(-1\/19)\/p)\/(p**0*p*p*p))**(4\/9) assuming p is positive.\nAnswer: p**(-346\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-2)*(-10)\/8. Let q be 1\/(-1) - 1 - m. Suppose 3*h - 30 = -q*n - 0*n, -11 = -2*h + n. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 0*h - 1\/56*h**7 + 0 - 1\/4*h**3 - 17\/160*h**6 - 21\/80*h**5 - 4*h**2 - 11\/32*h**4. Solve n(k) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*l - 594 + 48*l + 22*l + 3*l**2 + 36*l + 0*l**2 = 0.\nAnswer: -18, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284764443 divided by -94921481\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -21330100 to the nearest one hundred thousand.\nAnswer: -21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20231 and 0.1.\nAnswer: -2023.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009788 rounded to 6 decimal places?\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 2:11 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 19 + 19)*(-1 - 11*w + 9*w + 2) as l*w + a*w**2 + s and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z + 3 + z**3 - 3*z + 2*z**3. Let t(s) = s**3 - 2175643 + s**2 + 2175643 + s. Let h(j) = -j - 2. Let i be h(-3). Give i*t(g) - q(g).\nAnswer: -2*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46 and -1001054.\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -20*l - 129. Suppose 47 = 2*j - l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2.6, 4, -0.3, -1\/4 in decreasing order.\nAnswer: 4, 2.6, 1\/6, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 10\/83933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -535 - -281. Let g = 578 + q. Suppose -2*f = f - g. Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.783156 tonnes to micrograms.\nAnswer: 9783156000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:06 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/16*19\/(836\/48).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 take away -3403?\nAnswer: 3403.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (r - 3*r + r)*(-3 + 3 + 2) + r - 8*r - r - r + 12*r + r in the form t*r + p and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2. Suppose -l - 7*l = 0. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 17*m = -37 + 81 + 88 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3 + 3)*(-2 + 1 - 1)*(-2 + 2 - 4).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 25107*k - 1145. Determine t(0).\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801374656.\nAnswer: 2, 12521479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13*(440\/(-2420))\/(8\/132)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 271, 244, 233, 244?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4269161.\nAnswer: 13, 328397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 325*456\nAnswer: 148200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 4. Let z be y(4). Let j = -167 - -168. What is the nearest to z in 0, j, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9559489 - -2?\nAnswer: -9559487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16490, 32970, 49450, 65930, 82410?\n\"Answer: 16480*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c. Let t(s) = 4*s. Let q(f) = 10*g(f) - 3*t(f). Let a(p) be the first derivative of -1\/2*p**2 + 8 + 0*p. Give a(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 38 + 47*k - 37*k + 1 - 2. List the prime factors of g(13).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3840 = -4*n + 2568. Calculate the greatest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 21*a**2\/2 + 77*a - 108.\nAnswer: -(a - 4)*(a - 2)*(a + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290137*d + 290191*d + 864 = 0 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 765\/(-27)*1\/6 and 37\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-266)\/24 - -11) + (-2984)\/(-96) - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-27) + ((-44)\/(-30) - 1)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q - 2*q - q)*(256*q - 592*q - 871*q - 152*q) in the form x + n*q + d*q**2 and give d.\nAnswer: -2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16 + 18*(-112)\/(-126). Which is the closest to 1.2? (a) 5 (b) 0.07 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 290 = 414. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 0. Let g = h + 12. Suppose 4*c + b = 4*b + g, 20 = 4*c - 4*b. What is the least common multiple of 7 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2140513855.\nAnswer: 5, 41, 10441531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -m - 25, 0 = -8*m - 13639*d + 13640*d - 115 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/8*8\/6. Let o(n) be the second derivative of -1\/12*n**4 - n**2 + 0 + 17*n - 5\/6*n**3. Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03100289353 + 37222.\nAnswer: 37222.03100289353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = 5*k - 37, -5*w + 4*k = -49. What is the remainder when 14 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 7*j**2 + 2*j + 4. Give h(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/5, -531 in ascending order.\nAnswer: -531, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488497923 to the nearest integer?\nAnswer: 22102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1037 - -8307\/8. Find the common denominator of 33\/10 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(-2*sqrt(1575) + sqrt(63))**2.\nAnswer: -5098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*x - d + 10, -18 = -2*x + 4*d. Suppose -x*h + 111 = -4*h. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*w + 159*w**2 + 138*w - 724*w**2.\nAnswer: -565*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45\/7 - 69\/14. Sort 2, 5, d in ascending order.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llt when three letters picked without replacement from {t: 3, l: 4}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 158.5?\nAnswer: -158.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 + 9*x + 6. Suppose k = 4*y - 113, -6*y + 7*y + 5*k - 2 = 0. Suppose -l = 4*m - 6*l - y, -2*m = -4*l - 12. What is t(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/40 + 1\/5. Let c = -1\/2924 + 5851\/8772. Is c >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.5 * 10.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2566845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56935 + -285808\/5. Let n = b + 226. What is the third smallest value in -1.3, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223365803.\nAnswer: 223365803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3)**5*(n**(-3)\/n)**(-28) assuming n is positive.\nAnswer: n**127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1951660*j**2. Let a(n) = -2*n. Calculate x(a(y)).\nAnswer: 7806640*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - 19*w - 66. What is the units digit of o(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -36. Suppose 0 = u + 6*u - 35. Suppose -484 = -u*q - 159. What is the remainder when q is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 1401*q**2 - 470114*q + 3375. Give x(557).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12*q - 15*q + 70 = 0, -4*l + 56 = -4*q. What is the derivative of -5*i - 4*i + 15 - 3*i + l wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 + 6*c - 2. Suppose -4*n = n + 75. Let l = 17 + n. Suppose 0 = 5*y, -y + 9 = l*f + 1. What is w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*o**2 + 36*o**3 + 3 + 2 - 46*o**2 + 23*o**2 to the form x*o + a + w*o**2 + j*o**3 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-8))\/m)**50*(m**(-12))**(1\/2))**(-50) assuming m is positive.\nAnswer: m**(-19700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c**2 + 6*c**4 + 18*c**2 - 7*c**2 - 2*c as r*c**2 + n*c + b*c**3 + f*c**4 + v and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7625 and 5875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*36\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/490 and -117\/376460.\nAnswer: 2635220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -18*c**2 - 4. Let f(g) = 37*g**2 + 7. Determine -3*f(k) - 5*i(k).\nAnswer: -21*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4866, 5195, 5768, 6585, 7646?\n\"Answer: 122*j**2 - 37*j + 4781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*d = -815344 + 195694. What are the prime factors of d?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 1.04.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97915 and 11123.\nAnswer: 1089108545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d + 93. Let g be p(-30). Suppose -h - 9 = -3*l, 0*h = g*l + 3*h - 21. Let r = 12 + -5. Calculate the remainder when r is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -158 or -102?\nAnswer: -102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*20*(-4)\/(-16). Is 12 a factor of (-18585)\/z + ((-22)\/8 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z - 5. Let p be (6\/2)\/((-9)\/12). Let r be l(p). Suppose 0 = 2*h - 71 - r. What is the remainder when h is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3114 and 3806.\nAnswer: 34254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*g + 10*g - 78 - 701. Is 1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1160*a**3*t - 2707*a**3 - 8*a**2 + a*t + a + 279716*t wrt a.\nAnswer: 6960*t - 16242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139565071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-6)\/(-4))\/3)\/(83 + -80). Factor 1\/2*z + g*z**2 + 0.\nAnswer: z*(z + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1082*d - 1746. What is the hundreds digit of v(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*i - 7097 - 6*i + 7098)*(5 - 1 - 2).\nAnswer: -68*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 23877 = -3*a, 4*n = -2*a + 4*a + 15924. Round a to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35403*f**2*i*q + f**2*i + 5*f**2*q - 9*f**2 + 4*f*i*q - 170318*f*q - 2*i*q wrt f.\nAnswer: 70806*i*q + 2*i + 10*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus -1062286935.4?\nAnswer: 1062286979.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/14, -3, 2\/3, 0.044 in decreasing order.\nAnswer: 2\/3, 0.044, -3\/14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1949*l = 1954*l - 795. Let m be (6\/8)\/(3\/72). Suppose -3*q + 237 + m = 5*w, -l = -3*w - 3*q. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*d**3 + 149*d**2 wrt d?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 + 12 - (-36 - -68))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**3*h**2 - 52*g**3*h - 2*g**3 - 278*g**2*h**2 + 4*g*h**2 - 7*h**2 + 240 wrt h.\nAnswer: 8*g**3 - 556*g**2 + 8*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 3*k. Let y be 666\/185 - (-3)\/(-5). Suppose 5*f = -t - 13, t + 7 = -y*t - 5*f. Calculate n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -401443?\nAnswer: -402002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v + 21, 4*v + 25 = 5*h. Suppose w = 3*p + 4*w + 3, 5*p + w = -h. Let x be 142\/9 + (-16)\/(-72). Solve 4*l = -p*l - x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -77, 0.11, 3, -4, 0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 3464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (5 + 2 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 723. Let u be l(0). Let d = -1132 + u. Let q = -140 - d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/4 + 317*l**4\/4 + 16117*l**3\/2 + 268894*l**2 + 245112*l - 522144 = 0. What is l?\nAnswer: -148, -84, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 4*m - 10056*t + 10053*t, 0 = 10*m + t - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 49, 508, 1709, 4024, 7825, 13484?\n\"Answer: 62*i**3 - i**2 + 28*i - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 97 = -62 + 49 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let a be x(-5). Let u = 1023 - 1022.6. What is the biggest value in u, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192329571.\nAnswer: 3, 7, 19, 482029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -632336*m**2 + 1264654*m + 36 = 0.\nAnswer: -9\/316168, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1086)\/(-4))\/((-1)\/2). Let w = 1032 + t. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(143)*-1*4*5)\/((sqrt(44)\/(sqrt(4) + 4*sqrt(4)) - sqrt(11)) + -2*sqrt(1331)) + 5.\nAnswer: 5 + 250*sqrt(13)\/57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*d = 14, 3*d = 7*d + 8. Suppose 10 = -5*q, z - b*q = 5*z - 248. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = 47*x + 28. Solve y - x*y = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 16 = t, 4707*t - 4711*t - 9 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19094, -16182, -11342, -4580, 4098, 14686, 27178, 41568?\n\"Answer: -i**3 + 970*i**2 + 9*i - 20072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6146)\/(-126) + (-2)\/(-9). Calculate the highest common divisor of 70 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 = 0, -k - k - 10 = -4*j. Suppose -4*p = -j*z - 44, -z + 0*p - 22 = -5*p. Let t be -3 + -1 - 48\/z. Which is smaller: t or 2\/37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1873344, -1873375, -1873416, -1873467, -1873528, -1873599?\n\"Answer: -5*g**2 - 16*g - 1873323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2*g + 8 = 0, 0 = 180*v - 185*v + g - 15 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000176 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39483\/8 in -2\/3, 5, -3\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-10)\/(-50)*(-24)\/(-12). Which is the nearest to -2\/5? (a) u (b) -0.2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-325))\/((-8)\/254) + 13.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113330689 is divided by 195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -2*d + 12, -42*j - 3 = -43*j - 5*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 4 - 4)*(-z + 4 - 4 + (0 + 0 - 2*z)*(-1 + 0 - 1) + (-22 - 11*z + 22)*(3 - 3 - 3)) as g*z + k and give g.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + j = -394, -5*g + j + 402 = -2*j. Let h = 114 - g. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3685775379 and -88.2.\nAnswer: -3685775467.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13757*t**3 + 13*t**2 - 248*t?\nAnswer: 82542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - (-1*sqrt(729) - sqrt(729))).\nAnswer: sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.8568402 to 3 decimal places.\nAnswer: 30.857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -101468 and -2728.3238.\nAnswer: -104196.3238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 - -1 - ((-68)\/6)\/1 and -4\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h - 7062 = 62*h. List the prime factors of h.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*351.706\nAnswer: -1055.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let d be 5 + (-1081)\/(-5) + 3. Let q = d - 225. Sort q, w, -2\/11.\nAnswer: q, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11645*l**4 + 14*l**3 + 3*l - 3756044?\nAnswer: -46580*l**3 + 42*l**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(2 + 2 - 3)*(-423 - 3*b**2 + 421 - 5*b**2) to j*b + x + l*b**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33633)\/(-4545))\/(-1 - 4\/(-10)))\/((-2)\/(-12))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 - 5*r**3 - 4*r**3 + 7*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, n: 2, j: 4}. What is prob of picking 2 j and 2 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2229*u**5 - 566*u**2 + 2*u wrt u?\nAnswer: 133740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1\/p*p)\/((p\/(p\/(p*p*p\/((p*p*p**(-1))\/p)))*p)\/p*p)*(((p*p\/(p**(-9)\/p)*p)\/p)\/p)\/((p*p**5)\/p) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwxdnnnnxkkxkkxnwxwx. Give prob of picking 1 k and 1 w.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 2*2\/(-12))*-6. Let r be (6\/h)\/(-2*6\/(-20)). Let u = -11 - -7. Which is the second biggest value? (a) r (b) u (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 438011578 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p**(-1))*p**(1\/6)*p)**(-38))**29 assuming p is positive.\nAnswer: p**(-3857\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 14 + 75*w - 77*w)*(2 - 5 + 0) + (0 - 3 + 4)*(2*w - 3 + 3) + 1 + 2*w - 1 to the form g + x*w and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - k - 6*k + 3*k + 7*k + 0 + k + 0 + k - 2*k + 0*k + (3 - 2 + 1)*(5 - 5*k - 5))*(-2 - 2 - 2)*(-2*k**2 + k**2 - k**2).\nAnswer: -48*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1. Let y(u) = -u + 11. Suppose -3*n + 20 = -8*n - 3*x, 4*n = 3*x - 16. Let v(f) = 8*f**2 + 55*f + 86. Let i be v(-6). Give i*d(l) + n*y(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*a**2 + 29*a**6 + 18*a**6 - 11*a**6 wrt a?\nAnswer: 4320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 5 (c) 1 (d) 53\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*a - 16 - 8 + 26 + 618*a.\nAnswer: 8*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 27) + (-4)\/(-24)*-2\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.57801l to millilitres.\nAnswer: 3578.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2.4. What is the smallest value in 0.3, -0.06, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 31. Let x(n) = -n**3 - 13*n**2 - 37*n - 9. Let a be x(-9). Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3.6333?\nAnswer: -10.8999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.193 + -1.192523. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/88*7 - 3. Which is greater: -91 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = r + 13, f + 2*f - 2*r = 12. Suppose -2*a = -4*c - 14, -f*a - 2*c + 3 = 1. Solve 14 = a*t - n, 0 = 2*t - n - 17 + 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279751126?\nAnswer: 2, 3, 41, 193, 48017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, v: 2, q: 5, e: 1, z: 3}. What is prob of sequence ey?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 11:10 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -2 - (4 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8 - -3) + -17 + 15\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - w**2 - 44568 + 6*w**2 - 7*w**2.\nAnswer: 2*w**2 - 44568","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 25, 0.2, 5\/4 in decreasing order.\nAnswer: 25, 5\/4, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 3, y: 6, e: 9}. Give prob of picking 2 a and 1 g.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 13*j + 66. Let g be (-57)\/76 + j\/(-8). What are the prime factors of 581\/(-14)*(0 - g)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-133 + 76 + 106*s + 51)*(-6*s - s - 2*s) to h*s + j + o*s**2 and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6765.\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 205*v - 69*v - 68*v + 3 - 69*v in the form x*v + d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2074 and 23494.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.222890118 - 0.2229. Round o to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:44 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 = -23*a + 80 - 163 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -163*x**2 - 6*x + 5. Let l = 36 + -28. Let m be (-5)\/(-4)*l\/2. Let a be d(m). What is a rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -57495*r - 49494. Let x(w) = 17249*w + 14848. Let l(b) = 8*k(b) + 27*x(b). What is the derivative of l(c) wrt c?\nAnswer: 5763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 647495, -5, 1 in descending order.\nAnswer: 647495, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2604\/(-992))\/(2*(-9)\/12*1)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*x + 20*x - 12. Let d(h) = 46*h**2 - 41*h. Let m(y) = 93*y**2 - 82*y. Let l(q) = x*m(q) + 5*d(q). Find the second derivative of l(i) wrt i.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010212120222 (base 3) in base 11?\nAnswer: 385624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-13)\/2*-2. Let c = z + -16. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:09 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -24. Suppose n - x - 2 = -g, 4 = -3*n - x. Let l = n - -7. Solve -3 = l*d - 2*d + u, 0 = -5*d + 3*u - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 6, l: 12}. What is prob of picking 2 l?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 349.537 rounded to 0 dps?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**5\/60 - 2*h**2. Let x(y) be the first derivative of 3 + 0 - y**2 + 0*y**2 + 2*y**2. What is d(x(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 52. Let i(o) = o**2 + 5*o + 5. Let f be i(12). Calculate the greatest common divisor of m and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1634962179?\nAnswer: 3, 19, 37, 53, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -70. Let c(k) = -k**3 + 3*k**2 + k + 1. Calculate c(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 4*x**2 + 0*x**2)*(6 + 3*x**2 - 6) + 2*x**4 + x**3 - x**3.\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a. Let f be (-2 - (-4)\/3)\/(12\/(-180)). Solve 4*y - f + 30 = a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*z + 1. Suppose -5 = -i, g - 366 = -i + z*i. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*r - 5*v + 1 + 7 = -108*r, -3*r + 5*v = -9*r + r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*c = -1140, 3*t - 703 = -3*c + 5*c. Let a = t - 163. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**2*o**3*r + 1343*g**2*o**3 + 508*g**2*o**2*r + g*o**2*r wrt o?\nAnswer: -6*g**2*r + 8058*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z. Let p(c) = 2 + 9 - 11 + 3*c. Determine p(l(h)).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2993*q - 3327. Give f(-2).\nAnswer: 2659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 12 + 17*l**2 + 23.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 u, and 1 e when four letters picked without replacement from auuueseuuusaeasaaae?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-12) + 33\/(-2). Let g be 3\/(-6*4\/r). Solve 12 = -a - g*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-26))\/(90\/120). Which is the second biggest value? (a) -0.4 (b) z (c) -279\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 33 - 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**3 - 43*k**3 - 3*k**3 - 23*k**3.\nAnswer: -54*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -165, -247, -329, -411, -493?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*s - 4*y, 2*s - 4*y = -5 + 1. Suppose 42*g = -s*g - 2281600. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Suppose 5*n + 0*n + 5 = t*u, 0 = -5*u + 2*n + 20. Suppose 0 = 6*h - 9*h - 5*z - 2, 0 = h + 5*z + 14. Is u less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9. Let c = 5 + x. Let g = -4 + c. Let s(w) = w**2 + 4*w. What is s(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 28. Let u(v) = 2*v**3 + v**2 + 17. Let g(y) = -y**3 - 8. Let k(c) = p*u(c) + 9*g(c). Give k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*c**2 + 0*c + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*m = 133*m - 42 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 35152.45 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 166 = -4*w, 0 = 2*w + 5*d - 77 - 24. Find the third derivative of -96 + 47 + w*l**2 - 15*l**3 + 49 wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -52*v**2 - 1029*v - 2. Let k(w) = 31*w**2 + 514*w + 2. What is -5*k(m) - 3*l(m)?\nAnswer: m**2 + 517*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + 1))**2*5 - ((sqrt(567)*-1)\/sqrt(9))**2.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:22 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*z - 15 = 0, -3*n + 0*z - 15 = 4*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2\/7 + 29119822*u\/7 + 54599610\/7.\nAnswer: 2*(u + 1819987)*(8*u + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1340010 (base 12) to base 3\nAnswer: -21011211210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*o - 465 + 609 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220332 (base 4) in base 5?\nAnswer: 40442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 895, -16404, -11.\nAnswer: -16404, -11, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7547.75 + -7548. Sort 3.6, 0.1, -2\/5, a in decreasing order.\nAnswer: 3.6, 0.1, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 58 = a, 0 = -5*a - 24 - 1. Let h(u) = -2*u - 5. Let k be h(-6). Suppose -k = -2*l + n. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**2 + x - 24. Let d(s) = -3*s**2 + s - 12. Let r(u) = 9*d(u) - 4*k(u). What is the tens digit of r(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1795950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -30 + 15 + (-3 - 0) + -16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-3 - ((3 - 4) + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/7 - 238710*a**2\/7 - 238712*a\/7 = 0. What is a?\nAnswer: -1, 0, 119356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 11*f + 6. Let u be j(11). Suppose -y = -5*k, u*y - k = y + 48. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4838.2g?\nAnswer: 0.0048382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 18 - 1174*(8 - 9).\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*f + 11414, -2*f = f - v - 8573. Suppose a + 3*a - f = 0. Suppose -d = -a + 2454. What is d rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -828.52 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 56.3, -61, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1*-2) + -8. Let i = z - -12. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.274 - 6.3. What is l rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 599386686 is divided by 3178?\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.2452 - -0.3728. Round s to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150 divided by 2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 3864.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.67 take away -11?\nAnswer: 11.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2033212 - -4?\nAnswer: 2033220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/14892322 and 17\/12.\nAnswer: 89353932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 0 - 1\/40*j**6 - 1\/5*j**5 + 0*j**3 - 4*j**2 + 0*j + 5\/8*j**4. Factor g(h).\nAnswer: -3*h*(h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (4 + -3)) + -3 + (9 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12715000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3126 - 3126.21155. Let q = -0.225 - x. What is q rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185.56238 + 12416891.56238. Let o = 12416765.99871 - g. Let s = o + -60. What is s rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -77*j + 57. Let s(n) = 26*n - 19. Let a(v) = 6*m(v) + 17*s(v). Find the first derivative of a(c) wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 z when three letters picked without replacement from xxxxxxzxoxxxxrx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -513 and 127.2.\nAnswer: -65253.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = -6*t + 342. Find the second derivative of -13*b - 2*b**2 + t*b**5 + 24*b + 2*b**2 wrt b.\nAnswer: 380*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44380?\nAnswer: 2, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/6 + d**2\/2 + 3*d. Let f(a) = 5*a - 3 + 5*a + a**2 - 6*a. Let j be f(-4). What is x(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5 - 236*p**4 + 4922*p**3 + 10560*p**2 + 5400*p = 0.\nAnswer: -1, 0, 30, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 3:36 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/6 and -1\/3656?\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8988 rounded to two decimal places?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 13*x + 42. Let j(s) = -3*s**2 - 12*s + 38. Let w(k) = -7*h(k) + 6*j(k). Let f be w(10). Is f at most -276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 175893497 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 != -588.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14682, 58854, 132556, 235854, 368814, 531502, 723984, 946326?\nAnswer: 1198594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-25) + -1 + (-322)\/630?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 26. Let b be z(-12). Let m(a) = a**2 - 2*a - 14. Let l(c) = c**2 - c - 13. Let h(r) = 3*l(r) - 4*m(r). Let w be h(7). Solve w*o = -b - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7 + 12*i + 7 - 14*i. Let r(n) be the first derivative of -21*n**2\/2 + 7. Determine a(r(j)).\nAnswer: 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1461820 and -49\/20757844.\nAnswer: 103789220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404005 (base 6) in base 5?\nAnswer: 31442003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 4, q: 3}. Give prob of picking 1 j and 2 q.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(11664\/(-64)))\/(2\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 12) to base 8\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 951150 and 317050.\nAnswer: 951150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-4)\/18)\/(464\/3364)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.046 + -38.046. Let b = m - 18. Let s = b + 56.0047. What is s rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10222 is divided by 929.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1934477 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072118 is divided by 2168?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.43 - -424.43. Let f = o + -420.869. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 + 175*w**3\/2 - 31993*w**2\/4 + 59850*w - 116964.\nAnswer: -(w - 171)**2*(w - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9825 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose w*u - 63 = -c, 3*u - 2*c - 180 = -2*u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23761.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let r(y) = -19*y + 50. Let s(x) = -14*x + 50. Let o(i) = 3*r(i) - 4*s(i). What is o(v(l))?\nAnswer: 2*l**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/45 - 29*m**3\/6 + 13*m**2. Let b(r) be the first derivative of k(r). Let v(z) = 7*z - 10*z + 4*z. What is b(v(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 40, 54, 34, -44, -204, -470?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -15769\nAnswer: -2\/15769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2. Let v(u) = -1209*u**2 - 310*u. Let m(g) = 31*g**2 + 8*g. Let n(q) = -155*m(q) - 4*v(q). What is n(y(o))?\nAnswer: 124*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, -5, 5 in decreasing order.\nAnswer: 16, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*v + w + 29, 0 = 2*v + 2*w + 4. Suppose -5*c - 5*f + 15 + 30 = 0, v*f = -5*c + 35. Let x(y) = c + 6*y - 9 + 4. Calculate x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {z: 3, d: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -289 - -292. Suppose -60 = -8*c + 3*c. Suppose 2*p + 10 = c. Solve a*n + 7 = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - t - 5. What is m(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 14*q + 1. Let p = 48 - 96. Let r be ((-80)\/18)\/((-16)\/p)*-3. Suppose 6*y + r = 34. Determine w(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h**2 - 4*h + 762. Let d(m) = -26*m**2 - 12*m + 2288. Calculate 3*d(c) - 8*r(c).\nAnswer: 2*c**2 - 4*c + 768","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3299.001727 - 3299. What is l rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28355 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(4\/(-2 + -2)). Let u = 12 - i. Let t(v) = -u*v + 7*v - 4*v + 2*v**2. Let h(x) = -20*x**2. Determine t(h(p)).\nAnswer: 800*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 12*x**2 - 5*x - 35. Give t(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 36. Let l = m - 10.35. Let t = -0.3499997 - l. What is t rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 16*v - 20*v = -184, -2*j - 41 = -v for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u + 3 = 0. Let w be u\/(-21) + (-684)\/(-112). Let v be (-1)\/3 + (-132)\/(-18). Is w <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 296.74725 months?\nAnswer: 2.47289375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*r - 17 = -35*r - 5*b, -2*r = -3*b + 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 4*a + 12. Let h be w(8). Let i = h - 53. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 7*h**2 - 7*h + 8. Let f be v(6). Let p be 2*(-2)\/(4\/5). Let t(x) = -3*x + 20. Let i(y) = 2*y - 13. Let a(w) = p*t(w) - 8*i(w). What is a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25\/62 - 3\/31. Let v = -1.6 + 2.8. Let k = v - 1. Which is the nearest to 0? (a) 4 (b) y (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94 or 379?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37*m + 3 - 73*m + 36*m - 6*m**2 + 7*m**2. Let x(v) = -1. Let f(c) = -o(c) - 3*x(c). Let l(y) = -49*y. Give l(f(z)).\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 6:12 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 5. Let x(h) = 84*h**2 - 15*h + 3*h - 8 + 88*h**2 - 171*h**2. Let p be x(13). What is the third biggest value in n, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 33\/(-35))*(-1175)\/235*-2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 112.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/60 - 13\/60. Which is the second biggest value? (a) -0.3 (b) -4\/9 (c) i (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*l**2 + 24*l - 24*l.\nAnswer: -295*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 24. Suppose 0 = k*h - 4. Is h at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -57. Suppose 2*z = -d - z + 45, -4*d = 3*z - 216. Let s = w - d. Solve 0 = -4*f + 15 - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -237. Let c(y) = -207*y + n*y - 3*y**2 + 2*y**2. Let a be c(-6). What is the closest to 1 in a, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -48. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 11*v + 26 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262079, 524251, 786427, 1048607, 1310791, 1572979, 1835171?\nAnswer: 2097367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, 3*q - 6 + 2 = 2*a - 6*a. Suppose 4*l = -c + 17, -l + 6*c - c + 20 = 0. Put l, 0, a in ascending order.\nAnswer: 0, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 329*w**4 - 1 - 656*w**4 + 2 + 325*w**4 + 2*w**3 + 23*w to c + x*w**4 + m*w**3 + k*w**2 + n*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 7*j**2 - 57 + 1\/3*j**3 - 15*j. Factor x(a).\nAnswer: (a - 1)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12478 - 6763. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 35*z - 13. Let l(x) = -7*x**2 - 70*x - 26. Let b(w) = 5*i(w) - 2*l(w). List the prime factors of b(-9).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5259156 divided by 6398?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-25)\/(-1))\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 10*a**2 + 11*a - 4. Let i be r(9). Suppose -17 = u - i. Is u\/3 + 2 + 58 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2730 and 30290?\nAnswer: 636090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d*f**2*x**3 - 2*d*f**2 + 52*d*x**3 + 2*d*x + 7*f**2 - 5*f*x**2 wrt x.\nAnswer: 24*d*f**2 + 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 17. Put 2\/7, t, 5 in decreasing order.\nAnswer: 5, t, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 18. Suppose p = -2*p + 567. Suppose -x + p = 2*x. Calculate the greatest common factor of a and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 18*m + 17. Let j be u(-17). Let s(i) be the second derivative of -6*i - 1\/3*i**3 + 1\/2*i**2 - 1\/6*i**4 + j. Calculate s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (82\/4 + 2)\/((-21)\/(-280))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 9*p**5\/2 + 2*p**4\/3 - 7*p**2\/2 + 5*p + 6. Find the third derivative of r(t) wrt t.\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 2\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 21861456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*m + 20*m - 2. Solve -4*g - m*a - 12 = 0, -5*g - 3*a - 17 = -0*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6893879 centuries to decades.\nAnswer: 6.893879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.05, 0.5, 15874.702?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**4 + 38*s**3 - 4*s**2 - 17 wrt s?\nAnswer: 24*s + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - a - 4 = a, 4*q = -5*a - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470) - (sqrt(1470) + (6*(sqrt(1470)*1 + sqrt(1470)) - sqrt(1470)) + sqrt(1470)))*3)\/(6*(sqrt(90) + sqrt(90) + sqrt(90)*1)*1).\nAnswer: -14*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 15*p = 84*p + 528 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -215 in 0.5, -3\/5, 2\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/28600 and -31\/33?\nAnswer: 85800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 3, -30, -2, -2\/15, -0.4 in ascending order.\nAnswer: -30, -2, -0.4, -2\/15, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 2, -31, -1, -624 in increasing order.\nAnswer: -624, -31, -1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -25*t**4\/6 - 20*t**3\/3 - 29*t**2. Let d be r(19). Is -3 + d\/(2\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 154 = 15*a. What is the units digit of (-5880)\/(-36)*36\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 21. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 - -244.8. Suppose -36 = 5*z - c, 4*z - c = 2*z - 12. Sort 2, z, q in decreasing order.\nAnswer: 2, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 517, -2\/5, -5, -3\/8, -0.04 in ascending order.\nAnswer: -5, -2\/5, -3\/8, -0.04, 517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8757 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 29 - 12 - -12\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 3*j**2 - 3*j - 2. Let m(f) = -f**2 - f - 1. Suppose -20 = 4*i - 8. Determine i*m(t) + u(t).\nAnswer: t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 3:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-1932)\/575)*((-5)\/(-15))\/(1\/21).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22661557.2 rounded to the nearest one hundred thousand?\nAnswer: 22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikpbbpbi. What is prob of sequence kb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17 + -13)*(-2 + 1). Sort k, 1, -2 in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, -0.62, 1\/1135 in descending order.\nAnswer: 5\/4, 1\/1135, -0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*t + 38637 = -15*t - 18219 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -571*n**2*u**2 - n**2 + 223*n - 90*u**3 + 107 wrt u?\nAnswer: -1142*n**2*u - 270*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*y + 9 = -97*y - 2*v, -32*v = 5*y + 273 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let m(t) = -76 + 76 + 39*t**2. Calculate m(g(x)).\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 9. Let d(x) = x - 2. Let r(v) = 9*d(v) - 2*w(v). Let u(p) = -5*p. Calculate u(r(b)).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 26162639\nAnswer: -1\/26162639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d + 75055070 = 0. Let l = -19251156 - d. Let b = -11376379 + l. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3415230 (base 6) to base 15.\nAnswer: -36643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, z: 2, e: 2, v: 1, w: 1}. Give prob of picking 1 w, 1 f, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 19*j**3 - 7*j**2 + 21*j. Let v(q) = 6*q**3 - 2*q**2 + 7*q. Give -7*v(f) + 2*y(f).\nAnswer: -4*f**3 - 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1132 (base 13) to base 2\nAnswer: -100101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2873256?\nAnswer: 8619768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-13)\/52.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-444)\/(-13) - (-6)\/(-39) is divided by ((-36)\/21)\/(102\/21 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/3)\/((-10)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 506, 5, 19 in decreasing order.\nAnswer: 506, 19, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -27\/5, -0.1, -24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2174*d**3 + 753*d**3 - 635*d**3 + 222*d**3.\nAnswer: -1834*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266501 is divided by 13323?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*w + 101, 1 - 2 = -m. Let j be w\/7 - 2\/(-7). Let x = -10 - -14. Solve -x*h - 3 = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0*a = -u + 32, 39 = 2*u + 3*a. Is u\/(2 + (1 - 2)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 2:07 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/5)*y)\/y)**(-42) assuming y is positive.\nAnswer: y**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 538001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 782149?\nAnswer: 1\/782149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 - -8.43. Let x = 8 - q. Put -0.5, x, 1 in increasing order.\nAnswer: -0.5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6688 - -10.085172\nAnswer: -6677.914828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*r + 3030 = 21*r + 102*r. Let k(v) = 239*v**2 - v. Let w be k(-1). What is the greatest common divisor of w and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*m**4 - 4*m**4 + 23*m**4)*(3 + 1 - 5)*(-4 + 2 + 0)*(2 - 4 - 3) to the form r*m**4 + z + h*m**3 + y*m + d*m**2 and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130142*v**2 - 130364*v**2 + 259684*v**2.\nAnswer: -822*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 4*x - 6. Suppose 3*h = 2*u - 27, 2*u + 3*u - 22 = h. Determine m(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/3*(3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flrflnjjjnjrffjlfln. What is prob of picking 1 l and 1 f?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40495 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 2)*(-734 + 734 - 73*k + 4*k - 2*k - 4*k + (0*k - 4*k + 5*k)*(0 + 2 - 1) - 11*k + 2*k - 2*k).\nAnswer: 340*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93067 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 + -4. Let p = c - 2.9. Let n = 3.985 + p. Round n to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - 40*v**2 - 40*v + 5. Does 37 divide i(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**5\/3 + 254*h**4\/3 - 856*h**3\/3 + 442*h**2\/3 + 56*h = 0. What is h?\nAnswer: -1\/4, 0, 1, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*g + g - 3*g)*(g**2 + 2*g**2 - g**2) - 4 - 13*g**2 + 13*g**2 - g**3)*(-680 + 680 - 3*g) as v*g**2 + x*g + y + z*g**4 + n*g**3 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -26)\/((-28)\/644).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 8*z - 5*a - 3 = 0, 2 = -2*a. Let p(s) = -4051*s**3 + 3*s**2 - 2*s - 2. Is p(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -692759.5.\nAnswer: 138551.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78\/72 - (5 + 59\/(-12)) and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 629089, 1258179, 1887269, 2516359?\n\"Answer: 629090*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7772 divided by 181.\nAnswer: 7772\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-40) + (9 - (-555)\/(-60)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3 + 4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(76) - (sqrt(76)*1 + sqrt(76))) + -5)**2 - (((-1 + sqrt(19) + sqrt(19))*1 - sqrt(19)) + -1)**2)*6 + -4.\nAnswer: 2336 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/(-5)*((-21)\/(-6))\/7. Let c(f) = -4*f - 4. Let l(o) = -o**3 + 3*o + 3. Give b*l(v) - 3*c(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(2\/13))**(2\/47) assuming q is positive.\nAnswer: q**(8\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + r + 7*r + 24*r**2 to j*r**2 + f*r + n and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9670*x + 4836*x - 4*x**3 + 4834*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.5633nm in meters?\nAnswer: 0.0000003005633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65587315.\nAnswer: 5, 71, 184753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let u = -327 + 328. Let x(z) = 58*z - 48*z + u - 8*z. What is -4*b(g) + x(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5931?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -56.1 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.2 - -24. Let q = 1462 + -10232\/7. Let g = 13 - 9. What is the nearest to -2 in k, q, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 3*y + 0*y)*(y**3 + 2*y**3 - 2*y**3) + 78*y**4 - 2*y**2 - 82*y**4 + 0*y**2 - 2*y**3 in the form c*y**2 + k + a*y + g*y**4 + n*y**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (880\/(-110))\/(1472\/17480)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**4\/15 + 68344*u**3\/15 - 341686*u**2\/15 + 109336*u\/3 - 91112\/5 = 0. What is u?\nAnswer: 1, 2, 34167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21078 is divided by 2339?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 213\/529?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (68\/(-24) + (-1)\/(-2))\/(610\/(-691740)). Solve -2574 + z = -12*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2 (c) -90753 (d) 0.13 (e) 0.23 (f) -5 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 11*w + 59280 = 0. Let z = 12917 + w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a century in years?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60068022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*u - 21*u = -27. Suppose -4 = -2*q, -3*z = -6*z - 2*q + 19. Let n = 0.05 + -2.05. Which is the closest to n? (a) u (b) 3\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:25 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/192 and 97\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 121, 2\/11, -6, -5, 4, 2?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -213, -215, -217, -219?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 17*h - 6. Let g be y(-6). What is the smallest value in 10, g, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. What is prob of sequence uu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(2\/5)*z)\/z)**(17\/2))**9)**(-32) assuming z is positive.\nAnswer: z**(-4896\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149768.\nAnswer: 2, 97, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000615327024 to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*r = -17, 0 = -2*r - 4 + 2. Suppose 2*x + s - 8 = 0. Is (x + -1)*(19 - -4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -7*t**2 + 0*t**3 - 1\/8*t**4 + 0 + 0*t. Let b(q) = 6*q**2. Calculate m(b(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -16 + 16)\/(2\/(-5)). Let y(x) = x + 12. What is y(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239058 is divided by 211?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24940, -26782, -28624, -30466?\nAnswer: -32308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13482 and 23618966?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 35099 divided by -26339\nAnswer: -35099\/26339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2242 (base 5) to base 16\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-8) - (148\/(-16) + 5). Let s be (170 + h)\/(12\/64). Suppose -s + 21 = -p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 33 + 24)*(-3*t**5 - 4*t**3 + 4*t**3).\nAnswer: 168*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -7*y + 13*y + 1226 + 1159 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*u**3 + 5*u**4 + 5*u**4 - 2*u - 11*u**4 to the form m*u**3 + f + l*u + o*u**2 + a*u**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715120 to the power of 1\/2, to the nearest integer?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.08241 (b) -20 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 27*v - 12. What is the hundreds digit of (-77)\/(-21)*222\/v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d)\/(d\/(d*d\/(d**(4\/3)*d)*d))*(d\/(d\/d**2))**(-1\/15))\/(((d*d\/d**1)\/d)**(-1)*(d*(d\/((d\/d**(-5))\/d))\/d)\/(d*d**7)) assuming d is positive.\nAnswer: d**(767\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 140040412 (base 5) in base 8?\nAnswer: 2542304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7.81 and 1?\nAnswer: 8.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965985.8 millennia to months.\nAnswer: 11591829600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160*f**4 - 606134280*f**3 - 454600770*f**2 - 227300395*f\/2 - 9470850.\nAnswer: 5*(f - 3788340)*(4*f + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 + 20*n**2 + 10*n - 19. Suppose -3 = -3*a + 2*a, -2*m = 5*a - 13. What is the least common multiple of b(7) and m + 3 + 3 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 4 - (4 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 13*p + 85. Let o(j) = -j**3 + 18*j**2 - 6*j + 6. Does 21 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 3*b**2 - 6*b - 4. Let c be z(-4). Suppose 1 + 1 = 2*i - 4*h, -5*i + c*h = -17. Suppose i*o + 8 = 23. Solve -v - 1 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-45))\/(1\/15*3). Let s(k) = -k**3 + 9*k**2 - 9*k + 9. Let f be s(n). Which is smaller: 26\/11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*g - 0. Suppose 1 = -2*k + 17. Let v(m) = -m + 2*m + k + m - g. Calculate v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 134029.846987 take away 422?\nAnswer: 133607.846987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -5*x**8\/336 + x**6\/12 - 5*x**4\/24 + 7*x**2. Factor c(d).\nAnswer: -5*d*(d - 1)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 173, 274, 393, 536, 709, 918, 1169?\n\"Answer: x**3 + 82*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153192 is divided by 726.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 3. Let a be j(6). Let i(t) = -t**2 + 8*t + 9. Let o be i(9). Suppose o = -4*m + 5*m. Solve 7 = 3*k + z, 0 = -4*k + z - m*z + a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by ((230\/(-8))\/(-5) + 4)*(22 - 10).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164982114 a multiple of 2706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 8\/(-3 - 1)*1. Put 11, -3, v, -4 in ascending order.\nAnswer: -4, -3, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11329300 to the nearest integer?\nAnswer: 3366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a - 3. Let g be l(2). Suppose g*k + 0*k = 190. Suppose 4*z - k = 10. 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: Let c(m) = 7495*m**2 - 9*m. Does 112 divide c(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + -4) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21100, -42220, -63340?\nAnswer: -84460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -12*t**3 + 81*t**2 - 457*t + 905. Give s(2).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**2*p)**(-49))**(-29) assuming p is positive.\nAnswer: p**7105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 467298.\nAnswer: 2336490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 14*l**2 + 6*l + 88. What is w(13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5845206?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 213.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -22. Solve -4*f = -5*y + 36, 5*y - 31 = w*f - 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 2 + 2 - v**2 + v - v + (v + 3*v - 5*v)*(4 - 4 - v) + 46*v**2 - 14*v**2 - 17*v**2 + 0*v + v**2 + 0*v.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxaxxxxxxxxxx. Give prob of sequence axb.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100084 - -70274. What is r rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 94*d**2 + 223*d - 4640. Give f(-91).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12144 + -12146.13. Round d to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3259, -4, -5, -3\/8 in ascending order.\nAnswer: -5, -4, -3\/8, 1, 3259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 23*u - 4*u)*(44 + 8 + 28)*(0*u**2 - 6*u**2 + 4*u**2) in the form i*u**3 + y*u**2 + a*u + q and give y.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.59 + -16.41. Let c = a + 8.1. What is c rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a tonne in kilograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -1 - (0 - -1 - (12 + -15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*u = 123*u + 312. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(5)*-3 - sqrt(36))\/sqrt(12) - (sqrt(147)*-2 + 4).\nAnswer: -4 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 - 7 = p, -3*p = -2*o + 4. Let i be o\/((-90)\/(-264))*(-6)\/(-4). Solve i = 4*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - u + 5479, -11*u + 15*u + 4133 = 3*f. List the prime factors of f.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28254086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 minutes before 2:12 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Product of -7.14 and -721.4.\nAnswer: 5150.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7603 (b) 4 (c) -93\/20 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 51802*w**2 - 3*w + 1. Let f be z(1). What is f rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47202 (base 8) to base 5.\nAnswer: 1120343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(34\/(-28) - (-50)\/(-175)). Let u(n) = 11*n - b*n + 0*n + 8*n. Let v(x) = -2*x**2 + 28*x. What is v(u(m))?\nAnswer: -18*m**2 + 84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2942\nAnswer: -5\/2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*x + 7 = 1, -4*x = -4. Suppose -33 = -p - d. Let q = -61 + 64. Calculate the greatest common factor of p and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 453, 931 in ascending order.\nAnswer: -3, 453, 931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from {h: 7, n: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, 439, 2429, 6307, 12703?\nAnswer: 22247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129438, 517801, 1165082, 2071281, 3236398, 4660433, 6343386?\nAnswer: 8285257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(242) + 2 - (sqrt(242)*-3*3 + sqrt(242)))**2.\nAnswer: 19602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 581\/28 - 2*1\/(-8). Factor 0*m**2 + 0*m**2 + 3*m**2 - y*m + 9 + 9*m.\nAnswer: 3*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5502547 micrograms?\nAnswer: 0.0000005502547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19562 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 975 + -271. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -7 - 9*t**4 + 28\/3*t**3 + 0*t + 4*t**2. Determine h, given that u(h) = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by (-4 + 0)\/(1\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -326*s**2 - 7*s + 327*s**2 - 7 - 5. Calculate b(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 3, -4, -1, -3 in increasing order.\nAnswer: -46, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262128669.\nAnswer: 3, 11, 7943293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 14. Solve -n + 0 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1860483 + 19479\nAnswer: 19478.8139517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 6.1. Let p = g - 1. Which is the nearest to 2? (a) -0.5 (b) 2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**5 + 0*i**5 + 0*i**5)*(3 - 1 - 4) + 1213 - 572*i**5 - 1213 + (4*i + i**3 - 4*i)*(i**2 - 3*i + 3*i).\nAnswer: -567*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8349 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 143?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320*f**4 + 24*f**2 - f wrt f.\nAnswer: 7680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(208) + sqrt(13) - (2*sqrt(104) - sqrt(104))\/sqrt(8).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11327 + 12490. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)*-2)\/(sqrt(297)\/sqrt(11)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**3 + 172*n**2 + 166168*n - 166336 = 0.\nAnswer: -184, 1, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10001100100 (base 2) to base 8\nAnswer: -2144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3) - 17\/((-357)\/56). Suppose -c*f + 4109 = t, -3*f = -3*t - 2*t - 6144. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 13. Which is the nearest to g? (a) 5 (b) 3 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 11. What is the tens digit of 2\/(2\/21) + d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - y + 8. Calculate the remainder when k(6) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2210, 3, 5, 773 in descending order.\nAnswer: 2210, 773, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t + 212. Let l be c(41). Suppose -l*s = 3*s - 10920. Is s a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 560*v**2 + v - 5. Let s = 68 - 66. Is t(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q + q - 3*q)*(q - 3*q + 0*q) + (q - 5 + 5)*(-193*q - 1105*q - 1006*q) + q**2 + q**2 + 0*q**2 to y*q + b*q**2 + c and give b.\nAnswer: -2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -15, 2.1, 4?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366085 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b - 20. Suppose x + 0*x = 0. Let g be -3 + 2 + x - -6. Sort 4, b, g in ascending order.\nAnswer: b, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.076286 rounded to 2 decimal places?\nAnswer: 2.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 13. Let c be v(-9). Suppose -3*r - c = -2*o + 3*o, -3*o + 16 = 2*r. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/8 + (-7)\/(-28). Suppose -2*l + 5 = y. Solve -l*n - 16 = -10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzfzffzzffffzzfzfz. Give prob of picking 2 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(2 - (-417)\/(-210)). Let k be 1\/(-4) + 115\/x. Factor -2\/7*o**2 - 2\/7 - k*o.\nAnswer: -2*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1138\/18 + 4\/(-18). Let k(w) = w - 63 + p. Let f(a) = 2*a. What is f(k(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(4 - 6 + 1)*(4*f**2 - 4 + 4) - f**2 + f**2 + 3*f**2 + (-3*f**2 + 6*f**2 + 0*f**2)*(-1 - 1 + 3) to w*f + v + i*f**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 83 + (3 - 1) + -124 + 113\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thahhalatjaajau. Give prob of picking 1 u and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*q - 125. Suppose 0 = -4*o + q + 31. Calculate the remainder when o is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15? (a) 5 (b) -1819 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2529*v**4\/4 + 323*v**3\/3 + v**2 + 462. Find the third derivative of o(x) wrt x.\nAnswer: -15174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) -0.1 (c) 21.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -5 (b) 0.075 (c) -554462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**5*z + w**5 - 9*w**3 - 2*w**2 - 292*w*z wrt w.\nAnswer: 180*w**2*z + 60*w**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 10) + -6 + 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1051470 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/2)\/((-4)\/(-5 + -3)). Let n be f - ((-3)\/(-36) + 350\/(-168)). Let o(z) = 5*z + 16. Determine o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - 7\/35. Let l(k) be the first derivative of t*k**2 - 2 - k + 2\/3*k**3. Differentiate l(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-4 + -2 + 4)) + 1 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 divided by -2?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14004 divided by 4668?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -44ae - 213?\nAnswer: -46c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 + 445. Suppose -4*d = h - 51, -5*d + 0*d = -5*h + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02806 * -92.\nAnswer: 2.58152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1361 and -1306114506?\nAnswer: 1306114506.1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:22 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u + 69. Let d be h(2). Let w = -21 + d. What is the remainder when (6\/(-4))\/(1\/(-68)) is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220\/8*-10*(-19)\/665*-7\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 + 4*g - 3. Let o be v(-5). Put 3, -1, o in decreasing order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzmqr. Give prob of picking 1 z and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1767*p + 1766*p + 25511. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 866 and 4756938?\nAnswer: 4756938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242735291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-15) - 182999997\/(-5). Round x to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29764 - -31856. What is the remainder when m is divided by 83?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*b - b + 19, -3*m = -5*b - 23. Let q = -8 + m. Let n(l) = l**3 - 10 + l**2 + q*l - 3*l + 4*l - 5*l. Determine n(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1814*p + 1808*p = -72, -14 = 6*f - 7*f - p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + z**2 + 3*z + 1. Let l be j(2). Let b(f) = 14*f**3 - 8*f + 8. Let n(r) = -5*r**3 + 3*r - 3. Let k = 19 - 11. Determine k*n(d) + l*b(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -193*q - 1482 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 + 29*g**5\/60 - 31*g**4\/24 + 16*g**3\/3 + 2433*g**2 + 2. Calculate s(28).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + -1)) + -5 - (sqrt(7) - -1*sqrt(847)))**2.\nAnswer: 96*sqrt(7) + 1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 118 (b) 2 (c) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-8)\/(-36). What is the second derivative of 4*f + y*f**4 - 3*f - f**4 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -6731 - 4202. Let x = r - 124. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3333893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.53439kg to nanograms.\nAnswer: 88534390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*n - 12, w + n = 6 + 18. Let m = -128 - -422. Let z = m + -159. Calculate the greatest common divisor of z and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 4*b = 0. Solve 0 = -b*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 15. Suppose 0 = x + 3 + 11. Let g = 18 + x. Solve 3*h + 3*z = -z + v, 0 = 2*z + g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 - 2*h - 7. Let x be a(-5). Let q(n) = 12*n**2 + n + 2. Is q(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*c - 70 = -76*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195\/2*40\/(-2400)*-24.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -16*c**3 - 6*c. Let m(d) = 15*d**3 + 5*d. Let v = -422 + 427. Give v*i(s) + 6*m(s).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 66 * -30\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/3 - 564293*i**3\/3 - 35385934710*i**2 - 2220301404947700*i - 184041350442423000 = 0.\nAnswer: -188070, -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 185.5 + 29.5. Let s = n - 223. Let q = 38 - 38.03. Which is the closest to 1? (a) s (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:45 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2. Let q be (-159)\/18 + -25 + 34. Which is the closest to i? (a) 0.2 (b) 9 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 3*s**2 - 2*s**2 + (-s**2 + 2*s**2 - 3*s**2)*(2 - 3 + 3) - s**2 - s**2 + 52 - 42 + (11*s**2 - 7*s**2 + 2*s**2)*(0 - 3 + 5).\nAnswer: 8*s**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4, -3*n - 2*g = -3*g + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.3, -0.1, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 152. What is the remainder when t is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*o - 28 = -51*o. Suppose -o*i - 34 = 22. Let s(x) = -x**2 - 22*x - 21. List the prime factors of s(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1056.22253 to 1 dp.\nAnswer: 1056.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15366.91919 rounded to the nearest one hundred?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2, 7*w = 14*w - 4*n - 85247. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16822 - -1?\nAnswer: 16823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 3*h = 62, h - 96 = 3*w - 228 - 104 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - -6 - 1*-6. Let p(d) = d + 4*d - 13 - z - 6*d. Let i be p(-19). Solve 3*t - i = 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + (1 + -9 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 407 + -406.6. Let b = -10.1 - -10. Let r = b + l. Sort -4, r, -3\/5 in ascending order.\nAnswer: -4, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3630 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -79, -1.6, 126\/151?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 - 42*r**2 + 86*r + 528. Determine x(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -4, 3, -1 in decreasing order.\nAnswer: 106, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633677223203042\/11 + 213599532\/11*s**2 + 33752\/11*s**3 + 2\/11*s**4 + 600784283672\/11*s = 0.\nAnswer: -4219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -774071*n + 1548608*n - 5*n**3 - 774537*n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 154 + -51. Let j = -97.6 + s. What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/24)\/(-1) + (-4)\/(-6). Sort d, 4, -4, -14 in decreasing order.\nAnswer: 4, d, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/164 and -31\/123.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 10*o + 4. Let p(y) = y**2 + 6*y - 6. Let a be p(-8). Calculate the remainder when 14 is divided by i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 2028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-490)\/(-81))*288\/192?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314646 + 4?\nAnswer: 314652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s**3 - 75*s**3 - 67*s**3 - 72*s**3 - 8*s**3 + 296*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 287?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70652.\nAnswer: 2, 17, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 1 - (-43 - -35) - 19 - 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xereeerrrerrrxreeee. What is prob of picking 4 r?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 33599.01 decades?\nAnswer: 335.9901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 13*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.008, 1\/2, 4\/7?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raragrrevag. Give prob of sequence va.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29204 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9*b + 80 = -29*b. Let n(p) = -p**2 - 6*p - 3. Calculate n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13048472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7820.848 years?\nAnswer: 782.0848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19205 + 19210. Which is the fourth biggest value? (a) 3 (b) n (c) -5\/4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2283839*u**2 - 3*u. Let s(v) = 3*v. Determine s(x(y)).\nAnswer: 6851517*y**2 - 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/15 - 7*k**4\/6 - 12*k**3 + 2*k**2 - 57*k. Factor v(m).\nAnswer: 4*(m - 9)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28396.25656 to the nearest one hundred.\nAnswer: 28400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1640, -1645, -1652, -1661, -1672, -1685?\n\"Answer: -t**2 - 2*t - 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.076 + -290169\nAnswer: -290168.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - l + 2. Let m(z) = -4*z**2 - 4*z + 18. Calculate m(q) - 5*y(q).\nAnswer: q**2 + q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r + 1\/30*r**5 + 6*r**2 - 1\/3*r**3 + 1\/60*r**6 + 0 - 1\/12*r**4. Suppose c(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 2*h**2 - 2*h**2 + (-4 - h**2 + 4)*(-4 + 4 + 4 + (3 + 0 - 1)*(0 - 2 + 1) + 1 + 1 + 0 + (-3 + 3 - 3)*(3 + 1 - 6)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.9 from 2258.\nAnswer: 2256.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 6. Let i be ((-9)\/(-6))\/(6\/2). Let a be (832\/168 - 5)\/(2\/(-6)). What is the third biggest value in a, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22663 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 14. Calculate the remainder when 3 is divided by -3*(7\/p)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*t**3 - 28*t + 101*t**2 - 101*t**2 + 26*t.\nAnswer: 362*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 10 = n + 2*n, -r = -n. Suppose 0 = -3*v + r*v - 62. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-10)\/9) - 258\/24080*-72?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(6\/4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 720*q + 39590. What is t(-55)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 2*k**7\/21 + 2*k**6\/5 + 3*k**5\/5 + k**4\/3 - 5*k. Determine p, given that w(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -73. Which is the smallest value? (a) p (b) -0.4 (c) -6 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpvpppppp. Give prob of sequence pp.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a*(a*a*a**(11\/5)*a*a)\/a*a*a)))\/(a\/(a*a*a*a**(-3\/5)*a*a)*a) assuming a is positive.\nAnswer: a**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (24 - 60) - -25 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 - g - 7. Let s be (-2 - 1 - -4)*13. Let r(i) = i**2 - 13*i + 1. Let k be r(s). Let p(z) = 2*z**2 - 4 + k - 4*z**2. Determine 3*f(h) - 7*p(h).\nAnswer: 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m + v - 2032 = 0, -4*v = 2*m - 1016. Suppose 2*f + 4*g - m + 32 = 0, -5*g = 5*f - 1215. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -876 > -874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*h + 93 = 0, 0 = -o - 4*h - h + 39. Let d be 11\/o + (1\/20)\/(-1). Sort d, -2\/7, -2\/21, -2\/27 in decreasing order.\nAnswer: d, -2\/27, -2\/21, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:59 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/7 - 104212*q**2\/7 - 387802620*q + 21723616800\/7 = 0.\nAnswer: -52110, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**6\/255 - 3*d**5\/85 + 3*d**4\/34 - 4*d**3\/51 - 7*d. Factor f(q).\nAnswer: 2*q*(q - 4)*(q - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 370*j + 48738. What is n(-134)?\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, 4, 1, -2, -72, -4 in ascending order.\nAnswer: -72, -69, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71584, 71652, 71764, 71920, 72120, 72364, 72652?\nAnswer: 72984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*i - 2*b*z**2 + b - 780*i*z**2 - 2*i*z + 59*z - 4 wrt i.\nAnswer: b - 780*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0, 4, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3\/((a**(-9)\/a)\/a))**(-2\/15) assuming a is positive.\nAnswer: a**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 648 and 3456?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3 - ((-88)\/72 + -2)). Let p(t) = t**3 + 2*t**2 + 3*t - 1. Let b(y) = -5*y**3 - 9*y**2 - 13*y + 3. Determine v*p(j) - 2*b(j).\nAnswer: j**3 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1736 and 91728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 903093?\nAnswer: 3, 67, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - u = u - 3, -54 = -w + 22*u + 5 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and -7 + (-804)\/(-176) + (-2)\/8?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3251, -6490, -9803, -13226, -16795?\n\"Answer: -6*a**3 - a**2 - 3194*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 986546?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + -9 + -7 - 4\/(-3). Solve 1\/3 - n*y**2 + 0*y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -11*r + 12*r. Solve 39*w**3 - 16*w**3 - w**r - 19*w**3 + 0*w**5 = 0 for w.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -330*w**5 + 11*w**4 - 25*w - 11. Let c(s) = 66*s**5 - 2*s**4 + 5*s + 2. Let d(n) = 11*c(n) + 2*q(n). What is the second derivative of d(a) wrt a?\nAnswer: 1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139594869\/4923295 + 8\/75743. Let j = 141\/5 + r. Suppose 44 = -10*a - a. What is the third biggest value in 0.5, a, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 254646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-2*3)\/(sqrt(192)\/sqrt(4)))\/((sqrt(36) + sqrt(324)*-1)\/(sqrt(4) + sqrt(8)\/sqrt(32))).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/2 + 97*c**4\/2 - 3015*c**3\/2 + 30323*c**2\/2 + 1508*c - 15210 = 0?\nAnswer: -1, 1, 26, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/9 + -13 + 78. Find the third derivative of 317*x**2 - c*x**3 - 169*x**3 + 61*x**3 - 65*x**2 wrt x.\nAnswer: -1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37\/18 - 14\/9. Let h = -0.4 + 0.8. Let i = 26 + -26. What is the biggest value in i, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -24 and -5134 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*s = -0*s - 2119 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-4) - (-1)\/(-4). Suppose 0 = 3*c + 9, -5*o - 2*c + 359 = -0*c. Is (-3)\/(-1) + o*f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x, -4*p = x - 13 - 15. Let g be (-4)\/(-6) - p\/(-6). Find the third derivative of 2*r**3 - 2*r**g - 2*r**3 + 2*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 12. Which is the biggest value? (a) d (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1345244 = -117*c - 249773. List the prime factors of c.\nAnswer: 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*p - 21 = 0, 415933*p = 415931*p - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 36407\nAnswer: 3640.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-8 - (-21 + (3 - -4))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 24 = 45*c. Let f be 212000\/6*342\/c. What is f rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -482, -693, -866, -989, -1050, -1037, -938?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 16. Let x(m) = m**3 - 5*m**2 - m + 5. Let w be x(5). Solve j*g - g + 15 = w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**2 - 5*b + 11. Let s(a) = a**2 - a + 1. Let t(c) = 4*s(c) + z(c). Let y be t(8). Suppose 0 = y*n - n - 72. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3150317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**3 + 54*w**2 - 39*w - 12. Let t(i) = i**3 - 4*i**2 + 3*i + 1. Give -2*r(p) - 27*t(p).\nAnswer: -3*p**3 - 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:13 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + 8 - 8)*(-4*y + 0*y + y)*(-2 + 1 - 1)*(-11 + 10*y**2 + 11) to the form z + u*y**4 + g*y**3 + k*y**2 + i*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (42\/(-40))\/((-9)\/(-33)) and -53\/26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - z - z = 13, -5*a + 18 = 3*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v - 31*v + 11*v + 11*v - 1. Let f(q) = q**2. Give f(m(w)).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 628547 = 291*x + 307720 - 747725. Is x a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 44 = -4*c, 5*j = -196*c + 195*c + 73 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3374*k**2 - 146357 + 146357 as h + u*k**2 + z*k and give u.\nAnswer: -3374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 667 (b) -0.07 (c) -1 (d) 49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a decade in months?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54292248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6*0\/4. Let b(l) be the first derivative of -2 + 0*l + y*l**2 + 1\/4*l**4 + 2\/3*l**3 - 1\/5*l**5. Let b(d) = 0. What is d?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 634741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x. Suppose b - 1 = -4. Let n = b - -3. Solve x = -n*o + 3*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15371944 and 212792.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**2 + 11*n - 28. List the prime factors of s(8).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 98*n - 2334. Let i be y(53). Solve 0 = -i*r - 17*r + 340 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385628 is divided by 697?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 - 21*m**2 - 25*m + 83. Let w be j(15). Let q = 3590 - w. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16125049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00451 rounded to four dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g - 2*z, -2*z = g + 2*z - 9. Let t(o) = -o**3 + 8*o**2 + 9*o - 8. Let k be t(g). Let s be (-262)\/(-4) - 4\/k. Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -436178, -1745022, -3926436, -6980426, -10906998, -15706158?\n\"Answer: -n**3 - 436279*n**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*w**4 + 304*w - 304*w - 2*w**4 + 3*w**4 - 4*w**4 + (0*w + 2*w + 0*w)*(-w**3 + 2*w**3 + 0*w**3).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 + (-7 - (23 + -16)) - -15.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 6. Suppose -8 = -2*x, -5*h + 3*h + 2*x + 2 = 0. Let w be d(h). Which is the closest to -1? (a) w (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 25627452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(208)\/sqrt(4) + (sqrt(156) + (sqrt(156) - -2*sqrt(156)) - sqrt(156) - sqrt(156))\/sqrt(3))\/(1*(sqrt(36)*-1 + sqrt(4) + sqrt(4))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1 + 2. Let g be q + 106*(-166)\/4. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -1.3. Let f(y) = y - 6. Let v be f(8). Let u be 4*4*v\/112. Which is the third smallest value? (a) 0.5 (b) u (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/(q*q**(2\/19)))\/(q**(-3)\/((q*(q**(-7)\/q)\/q)\/q*q))*(q**2\/q**4)\/(q*q**(-8)\/q*q*q**(-7)) assuming q is positive.\nAnswer: q**(150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/129 and -37\/688?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1341 (base 5) to base 6.\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/40 and -57\/2270.\nAnswer: 9080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3445 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/22)*l)\/((l\/(l\/l**(-17)))\/l*l)*(l**(-10)*l)\/l**(-1) assuming l is positive.\nAnswer: l**(223\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n**3 + 7*n**2 - 38*n**3 - 7*n**2.\nAnswer: -68*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*2*-1. Let f = r - 0. Suppose 3*m = 2*m - 5, -5*t + f*m + 55 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r - 54 + 21 - r + 29. Let s(q) = q**3 - 4*q**2 + 4*q. Let d be s(3). Let u be 11\/d - (-4)\/12. Determine c(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2611137921?\nAnswer: 3, 7, 229, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -326667, -653404, -980141, -1306878, -1633615, -1960352?\n\"Answer: -326737*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260901 (base 10) in base 8?\nAnswer: 10477645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4\/4 - 462*x**3 + 293607*x**2\/4 - 1377135*x\/2 = 0.\nAnswer: 0, 10, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.476476 meters to centimeters.\nAnswer: 347.6476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1445*w**2 + 8500*w - 12500.\nAnswer: -5*(17*w - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1. Let o(z) = -6*z - 8. Let y(i) = o(i) - 5*p(i). Let x = -15 - -9. Let f be 304\/72 + x\/27. Let q(t) = 7*t + 4. What is f*y(a) + 3*q(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 4. Let f be j(0). Suppose -v = -3*a + 2*a + 12, f*v + 34 = 2*a. Calculate the greatest common divisor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1615045, -3230094, -4845149, -6460210, -8075277?\nAnswer: -9690350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1)\/y)**(-45))**(-11))**(17\/2) assuming y is positive.\nAnswer: y**(-8415\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 = 15*r + 361. Suppose -3*x + 17 = -5*j, -2*j = -0*x + 3*x - 10. Solve r = 4*n + x - 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -44, 4, -9, 5, -0.02?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60460377 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -4495322.\nAnswer: -8990644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225256 is divided by 1574?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1375? (a) 10 (b) 446 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 211?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -560*a - 20*a - 2 - 746*a + 2 - 926*a.\nAnswer: -2252*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100852.22567 + -63.\nAnswer: 100789.22567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 152*q**2 + 110*q. Let r(u) = -5*u. Calculate -44*r(g) - 2*t(g).\nAnswer: -304*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-1\/10)\/m)\/m)*m**(1\/9))\/(((m**(-1\/2)*m)\/m)\/m**5)*((m**0)**(-19))**(-7\/5) assuming m is positive.\nAnswer: m**(392\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g - 66 = -76*g. Solve -j + m = 4*j - 20, 0 = g*m - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5136*f**2*r**4 - 2*f**2*r**2 - 7*f**2*r + 84*f*r**2 wrt r.\nAnswer: 123264*f**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 38*z - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 28*z. Let g(d) be the second derivative of 7*d**4\/6 + 12*d - 3. Determine g(n(r)).\nAnswer: 10976*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is -2378 take away 135844744?\nAnswer: -135847122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13386950453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9500506 is divided by 61.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2, -1\/13933?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + s**3 + 0*s + (-75 + 22*s + 75)*(s**2 - 3*s**2 + 3*s**2).\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -26*o**2 + 3*o. Let m(k) = 77*k**2 - 8*k. Let p(a) = 3*m(a) + 8*s(a). Suppose -12*i + 7*i = -5. Let y be p(i). Is 22 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 2, h: 2}. Give prob of picking 1 i and 1 h.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10*g + 136. Let u be b(13). Suppose -16*r - 11 = -15*r - 3*q, -2*q = 2*r + u. Put -4, r, -1, 1 in decreasing order.\nAnswer: 1, -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -19. Suppose 0 = -q*s + 6*s + 69. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i + 1. Let r be s(2). Solve 0 = -0*f + 2*f + 2*l - 12, r*f = 3*l + 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 3\/4*r**2 + 7\/4 = 0 for r.\nAnswer: -7\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvzd when four letters picked without replacement from {v: 1, t: 1, z: 2, o: 3, i: 1, d: 4}?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*w*z**2 - 3336*l*w*z + l*z**2 + 10*l - 156*z wrt w?\nAnswer: 4*l*z**2 - 3336*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 109616142547?\nAnswer: -109616142547.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3444822 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536 (base 12) to base 9.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*k**3 - 3*k - 15 + 44*k**3 + 15 + 4*k.\nAnswer: -74*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23.6 in -2, 0.4, 1\/3, 4\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 184\/(-414) + (-2 - (-92)\/(-36)). Let c = 3 - 5. Sort c, z, -4, 5 in decreasing order.\nAnswer: 5, c, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5999, 0, 5, -66 in descending order.\nAnswer: 5999, 5, 0, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q + 25 = -42*q. Let n(m) = -26*m - 11. Let z be n(q). Suppose 0 = 5*k + 20, -3*s - 2*k + z = -7*k. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, 4, 26, 66, 130?\n\"Answer: t**3 + 3*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 18 (c) 14 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 14 = 0, 7*n - 12*n - 2*s - 19 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 12, 404, 10 in increasing order.\nAnswer: -49, 10, 12, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -15. Suppose 5*m - p - 14 = 0, -16 = m - q*m - p. Suppose 10 = m*t + 1. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3621891 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1874 and -0.3.\nAnswer: 562.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 351 and 63.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-40)*(-810)\/(-1944)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i - 15. Let u(p) = -16*p + 2. Let o be u(i). Suppose -5*k = 2*n - o + 7, -n = 5*k - 19. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14901144.\nAnswer: 2, 3, 193, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/1440 and -127\/9600?\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -84 (c) -20586 (d) -0.4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19173 by 3.\nAnswer: -6391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -22, 4 in decreasing order.\nAnswer: 6, 4, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/33)*f)**(-33) assuming f is positive.\nAnswer: f**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 10500.\nAnswer: 283500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -8 + (-3 + 0 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12796*i - 10599*i + 4280*i.\nAnswer: -19115*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.669 plus 0.2319?\nAnswer: 110.9009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -50. What is the fourth biggest value in 2\/9, -1\/6, 3\/8, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*j + 393 = 0, -j + 589 = 3*n - 5*j. Let p(f) = -f**3 + f**2 + f + 5. Let v be p(0). Suppose 10 = v*s, -4*s - s + n = y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14519 (base 10) to base 5\nAnswer: 431034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*q + 4*p - 5, 5*q + 3*p + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (992 - 968 - (-15 + 0))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 528.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35173086 - 32.\nAnswer: -35173118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -27 - -1 - 34?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166292808 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 8*t**2 + 9*t - 4. Let m be z(9). Let v be 39\/6 + 2\/m. Suppose -5*o - o = -252. Calculate the highest common divisor of o and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + y**4 - 3*y**4)*(-16*y + 0*y - 6*y) + (-2*y**4 - 3*y**4 + 3*y**4)*(-2*y + 3 - 3*y + 3*y).\nAnswer: 48*y**5 - 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2 (c) 1\/6 (d) 73 (e) 70 (f) -0.1 (g) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgmppmmpmm. What is prob of picking 1 f and 2 p?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orc when three letters picked without replacement from {i: 1, e: 1, o: 2, c: 1, r: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {x: 3, q: 4, r: 6, p: 1, n: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*b + 29. Suppose -r - 4 = -4*o, -3*r + o - 2*o = -14. What is the lowest common multiple of 8 and 2\/(-8) - b\/r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 41*x - 8. Let l(m) = m**2 - 40*m - 8. Let v(t) = -5*i(t) + 6*l(t). Let s be v(-9). Which is smaller: s or -89\/5?\nAnswer: -89\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (150 - 296 + 34)*(4*g + g - 4*g).\nAnswer: -112*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 408, 403, 392, 375, 352, 323?\n\"Answer: -3*j**2 + 4*j + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*((g*(g\/g**6*g)\/g)\/g)\/g*g))\/(g*g\/(g**6\/g)))\/(g\/g**(-2\/15)*g**(-1\/6)) assuming g is positive.\nAnswer: g**(211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11344*x**3 - 8*x**2 - 3*x - 6. Let d be f(6). Suppose -b + 324966 + 165030 = -a, -2*b + d = -5*a. Round a to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/2)\/1)\/(-17).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u - 24. Let l = 13 + u. Let b(p) = -3*p. Let w(q) = 7*q - 56. Let n(y) = y - 7. Let i(x) = 40*n(x) - 5*w(x). Calculate l*b(t) + 4*i(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/47)\/k**(-4))\/(k*k**(-1\/4))**49 assuming k is positive.\nAnswer: k**(-6149\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*r - 6713 = 87*r - 726*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25794.\nAnswer: 2, 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -220972025 from 56.\nAnswer: 220972081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -5*l**8\/8 - 13*l**4\/6 - 47*l. Find the third derivative of j(m) wrt m.\nAnswer: -4200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1 + -1 + -8. Let r be i\/6 + (4 - 3). What is the smallest value in r, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84549, -169124, -253699, -338274, -422849?\n\"Answer: -84575*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/50*(-35)\/(-952)*4.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1231850 divided by 694\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -30*n**3 + 11*n**2 - 7*n - 5. Determine f(2).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/20))\/(i**(-1\/19)\/i*i))\/(i**(-2\/17)*(i*i**(-11))\/i) assuming i is positive.\nAnswer: i**(77651\/6460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 72.41, -9, -1\/6 in increasing order.\nAnswer: -9, -1\/6, 1\/4, 72.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**4\/12 + 5*t**3\/6 + 2*t**2 - 2*t. What is the units digit of k(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 727 = -8*x + 4895. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1224)\/(-3)*(80\/(-30))\/(-4). What is the greatest common factor of 204 and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**4 + 0*k**4 - 3*k**4 + (k - 3*k + 3*k)*(-k**3 + 2*k**3 + k**3) to t*k**3 + r*k + c + u*k**4 + i*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 31 = 2*o, 3*u - 8 = 2*o + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.9. Let p = -0.999 + -0.001. Is p equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j**3 + 2*j - 2. Let m(s) = 178*s**3 + 29*s - 33. Let w(o) = 1423*o**3 + 230*o - 264. Let g(f) = 51*m(f) - 6*w(f). Calculate -4*g(t) + 198*q(t).\nAnswer: 18*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 59 = -3*p, -3*r + 2*r = p + 63. Let s be (24\/7)\/2*(-651)\/r. Solve -3*y - 21 = -0*y + 5*v, -s = 3*y + 4*v for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*q = 6*x - 23, -2*x - q = -10. Solve -2*g - x*p - 12 = 0, 3*g - 2*p = 2*p + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*(2 - 0). Let t(j) = j**2 + 6*j + 2. Let d be t(-5). Let b be 2 - (d\/(-2) - 1). Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 - -0.09. Suppose 2*r - 2*h = -r + 3, 5*r + 2*h = -11. Let g(t) = 4*t**2 - 2*t - 1. Let w be g(r). Which is the closest to 1? (a) -4 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15482?\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -112 + 154 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 8. Let l(k) = -12*k - 98. Let t(g) = -l(g) + 10*m(g). Let c(v) = 3*v. Determine c(t(a)).\nAnswer: 6*a + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*u**2 - 33*u**2 + 34*u**2 + u**3 - 60*u**2 + 98*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 8*i - 8. Let q be w(-6). Solve -a + q = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -12*c - 15. Let v(t) = t**2 - 4*t. What is the remainder when 81 is divided by v(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(3\/11)*b)\/b*b)\/b)\/(b**(2\/31)\/b*b))\/(b**(2\/7))**(21\/2) assuming b is positive.\nAnswer: b**(-952\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 2.94. Let h = -13 - -14. Which is the third biggest value? (a) 3 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 32 = b, -32 = -3*f - f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:29 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7680 and 9420.\nAnswer: 1205760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/403?\nAnswer: -1\/403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264126.\nAnswer: 2, 3, 44021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 - 45*v**2 + 6*v**2 + 10333.\nAnswer: -52*v**2 + 10333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:18 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*z - 16, -40 = 2*z - 0*z + f. Let s = 20 + z. Solve 3*k = -2*q + k - 6, -s*q - 6 = -4*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -8*h + 8. Let v(r) = 24*r + 3. Let b(d) = 6*d + 1. Let m(k) = -9*b(k) + 2*v(k). Let s(c) = 7*c + 3. Give h*s(t) + 5*m(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*s = 114*s + 210. What is the lowest common multiple of 30 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 5. Let t(h) = -h - 7. Let s be t(5). Let u be y(s). Find the third derivative of 5*i**2 + 4*i**6 - u*i**6 + 0*i**6 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0599 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 423, -4 in decreasing order.\nAnswer: 423, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 200. Suppose y*g = -0*g + 3020. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -5*b. Factor -7\/2*s**3 + 4*s**4 + 0*s + s**2 + b - 3\/2*s**5.\nAnswer: -s**2*(s - 1)**2*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 7:02 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 4 (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 + 4 = 0. Let t be 79\/1 - 12\/s. Suppose -2*x - 3*z + 44 = 0, -x + 5*z + t = x. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 - 9*o + 15. Let x(t) = -6*t**2 - 8*t + 15. Let b(n) = -5*q(n) + 6*x(n). Let r be b(-6). Put -4, -12, r in ascending order.\nAnswer: -12, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -8*a**2 - 52*a - 373. Determine i(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1672 = -11*j + 2178. What is the lowest common multiple of j and 621?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 184*g**6\/3 - 7*g**2\/2 + 41*g - 560. What is the second derivative of w(t) wrt t?\nAnswer: 7360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -8*l - 52. Give o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = h - 4*q, 0 = 3*q + 1 + 14. Let z = h - -3. Suppose 0 = -z*f + 1 + 1. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -4)\/(2\/(-6)*-3). Solve -2*m + 2*t + 17 = -3*t, 15 = -z*t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 2, -3, 5, -2, 100, 20 in decreasing order.\nAnswer: 100, 44, 20, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36975 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: Let d be 2\/1 - (-2)\/1. Suppose 0 = -2*y - 2*p + 8, -2*y = y - d*p + 2. What is the derivative of -2*z**y + 0*z - 3 + 0*z wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*f + 150 + 635, -4*f = -5*v + 970. Suppose 5*k = 85 + v. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21954 is divided by 996.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 12838 = -70*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 3*d + 40 = 0, 4*d = -o + 6*d + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -334*l - 55. Is a(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -220 - -223. Let n = -10 - -13. Is n != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1204?\nAnswer: -3\/1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 403, 605, 807, 1009, 1211?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77938*r - 28 = -77942*r - 4*b, 0 = r + 3*b - 1 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-14)\/(-60)))\/((-11)\/((-2541)\/(-66))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnninriiowhoih. Give prob of sequence oh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (2 + 1)) + (11 + 5 - 8)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00477 rounded to 4 decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + -2.72. Let v = 2.5 + x. What is the nearest to v in -2, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z. Let x(a) = -2*a**2 - 4*a - 1. Let k(s) = s**3 - 18*s**2 - 3*s - 42. Let m be k(18). Let o be 9\/(-6)*m\/(-36). Determine o*q(l) - x(l).\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*v - 0*r - 12, 5*r = 0. Let w be (8 - 4*(-28)\/16) + 4 + 1. Solve 0*b - w = -v*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-24)*(-3)\/2. What is the second derivative of -13*r - 16*r - r**h + 0*r**2 + 0*r**2 wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17210, -17182, -17130, -17054, -16954, -16830, -16682?\n\"Answer: 12*y**2 - 8*y - 17214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6073 - 13?\nAnswer: 6060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 8, r: 4, o: 2, l: 4}. Give prob of picking 1 t, 1 j, and 1 l.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/5 and -35\/5221548.\nAnswer: 26107740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/131164 - 5509085\/25839308. Let h = -2257\/5122 + b. What is the common denominator of -5\/22 and h?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 13 = 5*t, 9046*d + 8 = 2*t + 9050*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from yfjsy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**3 + 46*m**2 + 21*m + 32. Determine f(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 + -1930.5.\nAnswer: -1955.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -91. Let b = c - -97. Let l = -31 + b. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 17. Let h be x(17). Suppose h = -3*f - 3*j + 720015, -j - 239995 = f - 2*f. Round f to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12 (b) 0 (c) -2283 (d) -0.3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -41, -73, -117, -173, -241?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*k + 51 = 190*k - 4*s, k - 5*s - 17 = 0 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148300 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Suppose -k - 2*k + 54 = 4*s, -3*s + 4*k + 28 = 0. What is the remainder when -1 - 5*(v - 9) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -5) + (2 - 3). Suppose m*s + 93 = 5*v, 4*s + 0*s + 76 = 4*v. What is the remainder when 66 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1896 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5) + 0 + (sqrt(5) + 0 - sqrt(5)) + sqrt(5))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216293?\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125 - 121 + 9*m - 189 + 555 - 120.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 9*k - 6. Let i be -2*(180\/8)\/(-9). Is 13 a factor of u(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1357 or 1356?\nAnswer: 1356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -22. Let m(z) = -5*z + 1. Let v be m(-1). What is the highest common divisor of i and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44132 (base 5) in base 8?\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 1549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*m = -8*m - 16945, 5*s + 84635 = 3*m. Is s\/20*12\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g + 0*g - g**2)*(g**2 + 6*g**2 - 2*g**2) to r*g**2 + h*g**4 + v + f*g + m*g**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*w - 47*w - 180 = 186*w. Sort 1, -4, w, 58, 3.\nAnswer: -4, w, 1, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2823?\nAnswer: 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183473 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let k = 114.078 + -114. Let p = k + -3.078. Which is the closest to i? (a) p (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -195, -428, -755, -1176?\n\"Answer: -47*f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**6\/120 + o**5\/10 - o**3 + 12*o**2 + 17. Let q(f) be the second derivative of t(f). Calculate q(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 5*f**4\/12 - f**3\/2 - 3*f**2\/2 - 19*f. Let k be c(3). What is k rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 176515*t + 47306770.\nAnswer: -5*(t - 35569)*(t + 266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69530491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2488 + 2495. What is the biggest value in g, -2\/5, 1, 3\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.99297 litres?\nAnswer: 71992.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.292 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.4411073.\nAnswer: 0.0411073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 650584 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -22 + 0 + 2\/1. Let j be g\/(-8)*(-3)\/20. Suppose 0 = 5*x - 0*s + 2*s - 5, 0 = 3*s - 15. Is j bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -3\/4 (c) -2\/11 (d) 38 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/57)\/((-1293)\/(-5172))\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**2 - l + 13. Let s(v) = 7*v**2 + v - 11. Let y(f) = -6*b(f) - 7*s(f). Suppose 2*r = 294 - 298. Give y(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c + 18. Let y(w) = 185*w + 255. Let a(g) = 85*m(g) - 6*y(g). Let x(p) = 1. Let h(j) = -10*j**2 - 8. Let b(n) = -h(n) - 8*x(n). Calculate a(b(i)).\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Let m = x - 4. Suppose m*l + 5*l - 15 = 0, 0 = -5*u - l + 48. Calculate the highest common divisor of 81 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4*(-3)\/30.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 1, r: 2, l: 1, o: 1, u: 2}. What is prob of sequence ruli?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 160*l + 598. Determine t(-6).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/46443 (b) -2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*q + 6. Suppose -70 = -h + q*h. Is h\/70 - 2196\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -6. Let j be (-24)\/(-20)*35\/y. Let w = j - 15. Calculate the least common multiple of w and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 16 - 137 - 130 - 203)*(-23*x + 7*x - 4*x)*(-3 + 3 - x) in the form g + z*x + l*x**2 and give l.\nAnswer: -8980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14161)\/1156 + -3*(-3 - 1) + 303\/12?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 0.1. Let q = o - 5. Let w be 18 + (-11 - 1) - 7\/1. Which is the smallest value? (a) q (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*12\/1 - -3. Let g be w*(-4 + 2 + (-5 - -4)). Solve -16 = -g*p + 7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42f (base 16) to base 15\nAnswer: -4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*a - 8, -4*a - 126 = c - 128 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 231 = -231 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjxxxxxxxj. Give prob of picking 1 x and 3 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 4 + (-2 + 2 - 1)*(0 - 2 + 1))*(-28*b + 28*b - 27*b**2)*(1 - 1 + 13)*(2*b - 3 + 3).\nAnswer: 7020*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.399948 weeks in seconds?\nAnswer: 1451488.5504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45047595*c**3*f - 163218*c**2*f + 8*c**2 + 4*c wrt c.\nAnswer: -270285570*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96917.05ug in tonnes?\nAnswer: 0.00000009691705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 55*804\/240*8. What is the greatest common factor of 110 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -4*a - 32, -5*f = 3*a - 0*a + 29. Let c be 2 + 0 - (1 - a). Let m(n) = -27*n - 2. List the prime factors of m(c).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2060)\/10080 - (-10)\/(-560))\/(5\/(-9)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 5*b + 10. Suppose 3*n = -2*a + 365, 3*a - 4*n = n + 595. Suppose -a = w - 11*w. Suppose w*j - 17*j = 14. What is o(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -1838, -3578, -5318, -7058, -8798?\nAnswer: -10538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 3*v + 213 = 0, 5*d + v - 349 = 0. Suppose 6*k = k + d. Round k to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/9 (b) 2 (c) 0.8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2100*o**3 - 4203*o**3 + 2100*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1\/3, -134\/57, 2, 0.5 in ascending order.\nAnswer: -134\/57, 0.2, 1\/3, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9, -111, -207, -297, -381, -459?\n\"Answer: 3*n**2 - 111*n + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w = -32*w + 5*n + 105, 2*n = -5*w + 190. Solve 34 - w = 6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -674477*-9.3\nAnswer: 6272636.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:37 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 6)\/((-4 - -3) + -1). Suppose -n*q + 54 + 15 = p, -5*q + 104 = -2*p. What is the highest common divisor of 66 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 8*v - 9. Let m be k(-8). Let j be 12*(4 + 39\/m). Is j > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/732)\/(79509\/(-28062)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4546282594.\nAnswer: 2, 7, 324734471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3706023724.\nAnswer: 2, 13, 89, 800783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18650 is divided by 18646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7855 + -7809. What is the remainder when a is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -49*w**3 + 2*w**2 - 2*w + 1. Let v be k(1). Let u be 1 + -1 + v\/(-120). Which is smaller: u or 1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139*r*w**4 + 11*r - 9*w**4 + 15 wrt w?\nAnswer: -556*r*w**3 - 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 27\/4 of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446300 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/5*(-11)\/(-22).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*x = -12, -2*u - 3*x - 1 - 1 = 0. What is the common denominator of -2 - 5\/(30\/(-9)) and (-1476)\/(-660) + u\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 610465, 1220918, 1831359, 2441782, 3052181?\n\"Answer: -w**3 + 610460*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by (-984)\/(-15) + (19\/19)\/(5\/2).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 22 + 3890.2643.\nAnswer: 3912.2643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 28*b**2 + 3*b - 40. Suppose -5*a = -3*d - 45 - 4, 2*a - 2*d = 14. Give k(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.7 * 7.6.\nAnswer: -271.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*i**4 - 12*i + 1022 wrt i?\nAnswer: 72*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, 8, -0.04, 644?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -2.2, 4, -5, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/377332 + 700829\/6771222740. Are h and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x. Let q(u) = -8*u**2 + 12*u - 4. Let r(i) = 10*g(i) + q(i). Factor r(h).\nAnswer: 2*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66016608 by 6944.\nAnswer: 9507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1573*y - 1601*y - 924 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.045 - 0.355. Let j = -17 - -16.7. Which is the closest to 1? (a) -0.1 (b) l (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*o**3*r**6 + o**3*r**4 - o**3*r**2 - 20*o**3 wrt r.\nAnswer: -18120*o**3*r**3 + 24*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5003558?\nAnswer: 2, 7, 23, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -10 - (-5 + (1 - -34) - 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + 97. Let s be 4\/(-44) + 41232\/528. What is the highest common factor of i and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1646692 and 1786.\nAnswer: 1646692","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.585 + -36.6. Let b = -175527 + 175526.9850017. Let h = b - z. Round h to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6035, -12067, -18099, -24131?\nAnswer: -30163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*a - 3377, a + 3385 = -b + 2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:39 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 798\/1463 - (-6)\/(-44)*(-2794)\/(-33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -29. Solve -o + 4 = z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3. Suppose -75 + 23 = -13*a. Determine t(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 407.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -16209 > -16332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Let s = -1.9 + 1. Let y = s - -0.82. Which is the third biggest value? (a) x (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(140)\/sqrt(5)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1\/2, 48.2, -1.3, -46?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o - 6. Suppose -4 = 8*i + 2*c - 0, -4*c - 19 = 5*i. Give a(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnlbhbh. Give prob of sequence hn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 18 = -x. Suppose -x*j - 8 = -j. Put 1, j, 2, 5 in decreasing order.\nAnswer: 5, 2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2051?\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*(p\/(p*p*((p*p*p**6)\/p)\/p))\/p*p)\/(p**1\/(p\/p**(5\/4))) assuming p is positive.\nAnswer: p**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 28. Let j(l) be the first derivative of 0*l**5 + 0*l**4 + 0*l + 1\/3*l**3 - 1\/6*l**6 - 1 + q*l**2. Find the third derivative of j(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, g: 2, w: 4}. What is prob of picking 2 g and 1 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488*n + 459*n = 902*n - 1605 - 1050 for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 12 - -15) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zky when three letters picked without replacement from zzktkankynkn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3342 - -13369\/4. Which is smaller: z or -256?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -2.18 * -337.\nAnswer: 734.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, c: 13}. Give prob of sequence lc.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.12 + 0.12. Sort -1, -3\/7, t in decreasing order.\nAnswer: -3\/7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 8*t**2 + 6*t + 18. Let m be p(6). Let j be 1*9\/(-6)*(-12)\/m. Let f = -4 - -2. What is the third smallest value in f, j, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.3 - -8.3. What is the second biggest value in -0.1, -0.4, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05939 + 0.00359. Let o = -0.10437 + r. Round o to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 104*k**2 + 23*k - 89. What is q(3)?\nAnswer: 916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7563\/7 or -42?\nAnswer: -7563\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27085045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7, -0.39, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((8064\/45)\/(-8))\/((-3)\/(-15))*-412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32667 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2404*k**2 - 319724*k + 1064.\nAnswer: -4*(k + 133)*(601*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a - 5. Let v(h) = -24*h**2 + 20*h. Let l(t) = t**2 - t. Let u(j) = -20*l(j) - v(j). What is u(b(o))?\nAnswer: 900*o**2 + 600*o + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - n. Let s(w) = -3*w**3 + 7*w - 1. What is 14*g(z) + 2*s(z)?\nAnswer: -20*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*s - 2*s - 8 = -4*p, -2 = 64*s + p - 2*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1224\/54*-2*33\/44\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001110011111010 + -1000?\nAnswer: -10000001110100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 30*u - 4 - 66*u + u**2 - 3 + 34*u.\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + (3 - 13) - (-22 - -113))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a factor of 4002929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 96 = -2*h, h + 24 = u + 3*h. Suppose -5*w + 10*w - u = 0. Solve -3*y + w = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(5\/6)\/l*l)*l**(-4)*(l**(-7)\/l)\/(l**(-2\/3)*l))**(-30) assuming l is positive.\nAnswer: l**395","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -26 (b) 3 (c) 488 (d) 0.2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189761 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1920 + 1912. Let m(l) = l**2 + 4*l - 4. What is m(h)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 10 + 7)*(-1 - 1 + 4)*(5*r + 7*r - 4*r) as d + c*r and give c.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 6. Let x be v(-4). Suppose 3*j = 12, x*p - j = -0 + 8. What is the lowest common multiple of 22 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(44))\/sqrt(4)*5.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -2.511 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260384 and 3038912?\nAnswer: 3296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 30 = -9*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12386190 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**2 + 183*i**5 - 222 + 217 - 84*i**2 wrt i.\nAnswer: 10980*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - 4) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8156\/194975 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 12*b**2 - b - 10. Let p be o(-12). Let v(y) = y - 1. Let w be v(3). Suppose 6*m - 10 = m. Solve 4*x + m*h = w, -4*x + p*h = 5*h - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 426.53 * 3.\nAnswer: 1279.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + u + 86, -5*a + 4*a + 48 = 2*u. Calculate the highest common factor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 0*g + 1\/4*g**4 - 2*g**2 - 4\/3*g**3 - 57 + 1\/5*g**5. Find u, given that c(u) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:38 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*j + 617*j + 28098 = -135*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aze when three letters picked without replacement from eeeaeaeeaaazea?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/7 - 6*i**4\/7 - 2*i**3\/7 + 22*i**2\/7 - 24*i\/7 + 8\/7 = 0. What is i?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2 + 13258*j + 4929 + 14237*j - 28986*j wrt j?\nAnswer: 2*j - 1491","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 19*x**2 + 22. What is the remainder when 2\/(-10) - 216\/(-5) is divided by l(-19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/4)\/3*(-14)\/105.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 + 10?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1134*a**4 - 8*a**2 - 17 wrt a.\nAnswer: -27216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/((-196)\/2401).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214130?\nAnswer: 2, 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 98033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/3)*w**(-4))\/(w**4*w\/(w*w**6)))\/((w\/(w**(-2\/17)*w))\/(w\/(w\/(w**(1\/6)*w*w))))**(-4\/29) assuming w is positive.\nAnswer: w**(-5348\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/50 + s**3\/15 + s. Determine o, given that c(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-9)\/5)*-3. What is the closest to 1\/7 in -4, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 - 5430*v**4 + 367150*v**3 + 6005400*v**2 + 15364855*v + 9732030 = 0. What is v?\nAnswer: -1149, -11, -2, -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 20. Which is the closest to -2? (a) 0 (b) -0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 279764.\nAnswer: -1\/279764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/7 - 113811*v\/7 - 1399306 = 0. Calculate v.\nAnswer: -86, 113897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**46\/(k**2\/k**(-4))*(k\/k**(1\/12))\/(k*k*k*(k*k\/k**(-3))\/k*k*k)*(k**(1\/3)\/k*k)\/(k\/k**(-5)) assuming k is positive.\nAnswer: k**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -14*c**3 - 3*c**2 + 3*c + 22. Let b(y) = 29*y**3 + 5*y**2 - 5*y - 46. Give 3*b(g) + 5*s(g).\nAnswer: 17*g**3 - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3149 - 905. List the prime factors of m.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -245, -480, -715, -950?\n\"Answer: -235*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104256 is divided by 33111?\nAnswer: 4923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 84, -4, 2\/123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.137 times 3.72\nAnswer: -0.50964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 + 3*g**2 - g**2)*(-3 + 1 + 1)*(0 + 6 - 5).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 8 = -3*v. Suppose 2*n = -4*a + 18, -n = 3*n - 2*a - 26. Suppose -n*z = -v*z - 1225. What is the highest common factor of 35 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1163 - 1162.99261. What is v rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/3 + 2*j**2 + 9*j. Calculate v(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*p - 51 + 16, 3*p - 33 = -3*c. Let z be (-2337)\/95 + (-4)\/p. Let q be (84\/30)\/((-2)\/z). What is the greatest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -113273449*b**4\/3 + 453115082*b**3 - 1359536823*b**2 + 766332*b - 108.\nAnswer: -(b - 6)**2*(10643*b - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*w**3 - 3*q**4*w + 2*q**3*w**3 + 4*q**2*w**2 + 8*q + w**3 wrt q?\nAnswer: 48*q*w**3 - 72*q*w + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/6)\/((-5)\/45). Solve -c*j = 6, -2*i - i + j = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**5\/2 - 4075*t**4 - 424290*t**3 + 1190635*t**2 + 1438265215*t\/2 + 717521760 = 0. What is t?\nAnswer: -67, -1, 37, 1728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = j - 34728, 3*j = 2*t - 18636 + 4738. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a49534 (base 12) in base 15?\nAnswer: -361a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 200, 67, -66?\n\"Answer: -133*a + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207454 and 5846?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfcucf. What is prob of picking 1 c and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*((0 + 0 + 6)*(j**3 + 0*j**3 + 0*j**3) - 2*j**3 + 0*j + 2*j + 0*j**3) in the form u*j + w*j**3 + p*j**2 + g and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 18*w**3 - 10*w**3 + (-2*w + 2*w + 2*w)*(1 - 2*w**2 - 1) + 181 + 1150*w**3 + 105 - 1148*w**3 to m*w + q*w**3 + l*w**2 + p and give p.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 103216 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -156. Let i(q) = -7*q - 2. Let z be i(-1). Is z - (5 + r)*9 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 - 75*a + 32. What is k(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -t - 6. Suppose t*q = 4 + 16. Suppose 2*s = -5*c + 20, -3*c + 16 = -5*c + q*s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j + 17 = -4*r, 4*j + 2*r = 14. Let m = 46847\/2 - 30310013\/1294. Which is the second smallest value? (a) j (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 66*h**5 - 29*h**4 - 2*h**2 + 2546801*h - 2 wrt h.\nAnswer: 1320*h**3 - 348*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = j + 7884, -3*v - 6425 + 18256 = -4*j. What is v rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205\/6 - 101\/3. Let j(m) be the second derivative of 0 + r*m**4 + 2*m**2 + 0*m**3 - 6*m. Find the first derivative of j(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 52 - 8*w**2)*(-30 - 17 + 16).\nAnswer: 248*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 7 = -m + 8, 2*m - 4*n = 30. What is the highest common factor of m and 510?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 16. Let q(i) = 3*i + 8. Calculate 2*o(d) - 5*q(d).\nAnswer: -d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let i = j + -3.9. Let v = 0.1 - i. Which is the third smallest value? (a) -0.4 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*w = 190*w - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 214*a - 28033. Calculate y(131).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*-1*12\/195?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 4:19 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u**3 + 9*u**2 - 5*u - 3. Let f(k) = 10*k**3 + 13*k**2 - 7*k - 4. Let z = 17 + -22. Determine z*f(n) + 7*h(n).\nAnswer: -n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**6\/3 - 6*d**5\/5 - 3*d**4 + 20*d**3\/3 + 21*d**2 + 18*d - 114. Find h such that b(h) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/((-54)\/(-6)))\/25\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1438269 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -624*n**3 - 323?\nAnswer: -1872*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**4 - 9*h**2 - 21*h - 9. Let g(u) = -4*u**4 - 2*u**2 - 5*u - 2. Let k(o) = 9*g(o) - 2*l(o). What is the second derivative of k(i) wrt i?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 798\/1729 + (-7)\/(910\/(-265)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of x**5\/60 - 3*x**3\/2 - 13*x**2. Find the first derivative of o(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*s + 3*h - 5*h = -280, 72*h + 4 = -s + 77*h for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1683*f**2 + 2. Let x(d) = 2*d. Give l(x(p)).\nAnswer: -6732*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (16776\/(-336) - -12) + (-10)\/140\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, r: 1, g: 1, u: 1, w: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 106*u**4 - 642*u**3 + 18682*u**2 - 49900*u + 31968 = 0 for u.\nAnswer: -37, -27, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-23 + (-14 - -44))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 + 1 + -5 - (-31 + 70 + -18)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 22*a**2 + 3*a - 22. Let j be g(22). Suppose 2*k = -j + 332. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12*l - 1. Suppose 3*w + 5 = 5*k - 23, k = 5*w + 10. Let f(j) = -j**2 + 6*j + 1. What is the remainder when r(1) is divided by f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, 22, -2179, -1 in ascending order.\nAnswer: -2179, -4, -1, 22, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*w**3 + 94*w**2 + 10*w**4 - 187*w**2 - 2 + 95*w**2 to the form f*w**3 + o*w**4 + j*w + x*w**2 + c and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 34*n + 268. Let y be s(-22). Solve 435*o = 439*o - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.4, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1316 by -28.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2 - -7) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/90 and 68\/21.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -263 + 370. Calculate the remainder when p is divided by 1\/((-1)\/(-32)) - 52\/(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.8 less than -187?\nAnswer: -126.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721 is divided by 234.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.91 * -26.33\nAnswer: -23.9603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 0.3 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 2*p**2 + 3*p + 3. Let q be k(2). Let w = -17 + 21. Let o = q - w. Solve -o*b = -4*g + 3, 3*b - 2*g = -5*g + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g + 3 + 3*g**3 + 0*g)*(3*g + 0*g - g) + (-3 + 3 + g)*(g**3 + g**3 - 3*g**3) + g - g - g**4 in the form f*g**4 + h*g**3 + a*g + v*g**2 + j and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 947.9 + -944.9. What is the second biggest value in 73, -0.5, 5\/2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -6, 0.01, -47.7, -2, 194?\nAnswer: -47.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2 = 2*u, 4*x + 5 + 1 = 2*u. Which is the closest to x? (a) -1\/10 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/130 and (-104)\/(-26) - (31588\/6344 - (0 - -1)).\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 121*g**3 - 2*g**2 - g. Let r be b(-1). Let j = r + 126. Let v be (-2)\/(-7) + 52\/14. Solve 1 = v*o + j*n - n, -3 = -4*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x + 16 = 46*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903503688 to the power of 1\/3, to the nearest integer?\nAnswer: 1239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 28?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(200) + 0)**2 - sqrt(192)\/sqrt(6) - (-2*(-3 + sqrt(2)) + -2 + sqrt(200))**2).\nAnswer: -68*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17310 is divided by 392.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.13 + 537.87. Let r = g + -540.9999585. Round r to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458 = 15*x - 17*x. What is the remainder when x is divided by 79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 3. Let l be c(-5). Suppose -l*g = -4*u - 8, 4*u + 50 = -2*g - 3*g. What are the prime factors of g\/12*62\/(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -517458113877708*n**2 - 78800364*n - 3 = 0.\nAnswer: -1\/13133394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 + 2*m + 12. Let i be x(-6). Let l(d) = -1. Let t(y) = y + 3. Let j(z) = 4*l(z) + t(z). Determine j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 13) in base 7?\nAnswer: -456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from sssssccscc?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u. Determine k(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, -3, -7, -13, -21?\n\"Answer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 1. Calculate h(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -252037255 * -5\nAnswer: 1260186275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.59, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l*u**3*w**2 + 9*l*u**3 + 19*l*u**2*w + 7688051*l*u*w**2 - 26227*l wrt w.\nAnswer: 4*l*u**3 + 15376102*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15617.\nAnswer: 7, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**3 + 3*f**2. Let l(d) = -523*d**2 - 527*d**2 + 1626*d**2 + 104*d**3 - 512*d**2. Let k be 2\/7 - (-19)\/7. Give k*l(n) - 64*a(n).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -9*f**2 - 14*f + 3. What is i(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 974*f**2*o - 158*f**2 + 25*f*o - 3707*o wrt f.\nAnswer: 1948*o - 316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -5*b**4\/24 - 2*b**2 + 8. Calculate w(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 477*d**4*p + 584056*d**3*p**2 + 3*d*p**2 + d*p + 212080593*p wrt d.\nAnswer: 5724*d**2*p + 3504336*d*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millisecond in microseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06983195976 less than -185?\nAnswer: -185.06983195976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414471.\nAnswer: 353, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 946 and 64691.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 less than or equal to 3\/21160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.294, 0.3, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*x = 435 + 165. Which is the biggest value? (a) x (b) -2 (c) -3\/2 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = -3*l, 5*l = -4*n + 89. Let z be n\/(-10) - -3 - 108\/195. Let q = -187\/3 - -63. Which is the closest to q? (a) -0.01 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0*n\/(n*n\/(n**(2\/9)*n))*(n\/(n**4*n))\/n*n**(-3)\/n assuming n is positive.\nAnswer: n**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 33 = 2*a - 0*o, -3*a - o + 50 = 0. Calculate the remainder when a is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 - (-1 - 2 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 211. Let k = 320 - 10239\/32. What is the common denominator of (2\/3)\/((-40)\/z) - -2 and k?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqqb when four letters picked without replacement from qqbqbqbq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - l, w - 3*l - 16 = 2*l. Suppose 0 = -3*j + w - 13. Sort 3, 0, j in descending order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*m**3 + 33*m**3 - 18*m**3 + (-1 + 0 + 0)*(-3*m**3 + 2*m**3 + 0*m**3).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + -1101011110010000001101000?\nAnswer: -1101011110010000001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*(-30)\/(-1125))\/((52\/200)\/(-13)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 6*r**2 - r - 1. Let d be k(6). Let t = d + 10. Let j(z) = -2691767*z + 2691771*z - z**2 + 1 - 2. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 52876\nAnswer: 100464.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49*(394\/(-1970))\/(((-63)\/(-50))\/9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 15*n**3 - 35 + 22*n**3 + 2*n**2 + n**2 to the form p*n + s*n**2 + a + q*n**3 and give a.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*q + 27, -3 + 45 = 2*q - 4*a. Suppose q*i - 35988 - 147702 = 0. Round i to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 - 3*r - 12. Let b(c) = -11*c**2 + 7*c + 26. Determine 3*b(p) + 7*d(p).\nAnswer: 2*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 6) + (6 - (-13 - -7 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.2, -9709, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -906640 by 3238.\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-9)\/((q\/q**(-2\/27))\/q)*q**(1\/6)\/((q**(-5)\/q)\/q) assuming q is positive.\nAnswer: q**(-103\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 133*o - 132*o - 18, -o = -2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (707 - 207 - 314)*(-4 + 0 + 6)*(-1 - 5 + 4 + (0 + 0 + 2)*(-2 + 1 + 0))*(2*s - 2*s - 2*s).\nAnswer: 2976*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -596*m + 442 - 442 + 252*m - 405*m - 23*m**3 - 10*m**4 wrt m.\nAnswer: -120*m**2 - 138*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/(-2) - 2) + 1. Let x = 111 + -43. Suppose -4*j - x = -180. Solve -y*b + j = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(17 + 7)*6. What is the derivative of 39*k**i + 39*k**2 + 42*k**2 - 151*k**2 + 37*k**2 - 177 - 21*k**3 wrt k?\nAnswer: -63*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -2*j + 4\/5*j**5 + 0*j**4 + 4 + 0*j**2 + 0*j**3. Differentiate x(u) with respect to u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -3*v + 25, 5*h + 5*v - 20 = 0. Suppose 9*r + h + 28 = 0. Let g be 988\/114 + (r\/(-3) - 1). Solve -5*w + 26 = -2*n, g = n + 3*w - 0*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 8)*(2 + 2 + 0)*(-5*r + 5*r - 7*r**2).\nAnswer: -308*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -336*f - 9. Let y = -3 - -8. Let h be o(y). Let x = -1040 - h. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/21528 and 43\/2877576.\nAnswer: 8632728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + (10 + -18 - 5) - 4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1858, 45, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 4*i. Suppose 0 = -24*j + 9*j + 120. Let l(a) = 16*a - 124. Let z be l(j). Solve 2*d + 2 = -k, i = 2*k - z*d - 6 - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 2 f when four letters picked without replacement from fjdfjfhhxhhhjf?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -4\/3 (c) 6 (d) -2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1951 divide 58487078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -179456165 divided by 10556245\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 166898610 divided by 2\nAnswer: 83449305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, -308 in decreasing order.\nAnswer: 5, 3, 1, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -1\/4 (c) 0.16 (d) 0.3 (e) -0.1 (f) -1\/15 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grgkgkrk. What is prob of sequence gggk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d\/(d*d*d**33\/d*d))\/(d\/d**(-23)*d*d*d)**11 assuming d is positive.\nAnswer: d**(-323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7753632.174778 and -0.094?\nAnswer: 7753632.080778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -432*i - 11. Let x(k) = 212*k + 5. Determine -2*c(h) - 5*x(h).\nAnswer: -196*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 746743857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 0.07, -3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 90. Suppose -8 = -75*j + 71*j. Suppose -3*h + 42 = -u, j*h + 2*u - c = -3*u. What is the remainder when 43 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4282.611 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*1 - sqrt(5)) + -5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 15 + 3)*(-1 - 1 + 0)*(-4*w**4 + 7*w**4 - 7*w**4).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 23*n - 3 = -3*f, 5*n = 3*f - 3. Is 43 a factor of (f*8\/(-3))\/(14\/(-3612))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 1478\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*u, -3*u = -4*n + 21 - 4. Let q be (0 - 3\/u) + 8. Let c(i) = -14*i + 1. Let p be c(-7). Calculate the greatest common divisor of q and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -28. Solve -5*y - j = 4*r, 2*r - 2*y = y - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572267827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 506572 and 5104.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)\/((j*(j\/j**(-2\/21))\/j)\/j))**(-3\/31)\/(j**1\/(j*j*j**5\/j)*j**(1\/6)*j**(1\/4)) assuming j is positive.\nAnswer: j**(12463\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/((672\/12)\/2184).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73525091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2272?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5133042 or 5133041?\nAnswer: 5133042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 169\/1 + 0 + (-14 - -12). Suppose 65 = 4*r - p. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeazeeazqel. Give prob of picking 1 a, 1 z, and 1 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3545278251.891 take away -6?\nAnswer: -3545278245.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4882410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8169*b - 5715*b - 5 + 5.\nAnswer: -13884*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -3*b, -3*b - 1 = -5*b + 5*v. Suppose 3882 = b*f + 70482. Round f to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 52 = 4. Let t be 120*(-4)\/(-6) - 3. Calculate the greatest common factor of z and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 27.2. What is j rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 8*o**2 + 10*o + 16. Let u be a(6). Suppose -u*z = 4*k - 52, -5*k + 62 = -0*z + 2*z. What is the remainder when k is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -17272*x + 155448. Calculate q(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -176944, -176945, -176946, -176947?\n\"Answer: -j - 176943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1941869.\nAnswer: 29, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*d**2 + 0 - 2*d**3 + 4\/5*d**4 - 2\/5*d.\nAnswer: 2*d*(d - 1)**2*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2540.587 or -4.8?\nAnswer: -2540.587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 - 4*y**3\/3 + 19*y. Determine q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -587.\nAnswer: -4109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120230?\nAnswer: 2, 5, 11, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 195772720 divided by 85565\nAnswer: 2288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 23*w**2 - 207*w + 7. Determine x(8).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10 and -52\/988527.\nAnswer: 9885270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 11676553?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -0.1. Let h = 4.2 - k. Let i = h - 6. Which is smaller: i or 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -9*q - 15. Suppose -q*j + 15870 = 7*j. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-840))\/((-9)\/27)*4\/(-9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.8668 - -0.4\nAnswer: 1.2668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -209990\/21 at most -9999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 69\/7 (b) -7.9 (c) -4 (d) -1 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 8) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 311.024 + -7.\nAnswer: 304.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1147207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 4*a + 1. Let w(f) = 2*f + 24. Let o be w(-11). Let c be o*(-4 + (-15)\/10). List the prime factors of s(c).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3764b (base 12) in base 15?\nAnswer: 17452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 + -15 + 4 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 26. Let u = 1.1 - 1. Which is the nearest to u? (a) 0.5 (b) -3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (-281 + -1)*(480\/45 + -10) is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 7 - 3) + 2. Suppose 0 = 4*d - 5*f - 0*f - 104, d - 9 = -k*f. Solve d = -4*p + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0 + 1\/240*q**5 + 1\/2*q**2 + 1\/96*q**4 - 1\/12*q**3 + 5*q. Let z(t) be the first derivative of u(t). Factor z(j).\nAnswer: (j - 1)*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -73, -41, 7, 77, 175, 307?\n\"Answer: m**3 - m**2 + 18*m - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015179575742 rounded to 7 dps?\nAnswer: 0.001518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3) + (4 + 320\/(-336) - 0)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35.2, 15, -4\/7, 0.2 in decreasing order.\nAnswer: 35.2, 15, 0.2, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * 12.24.\nAnswer: -26.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22754.\nAnswer: 2, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 0.1. Let r = 10 + -14. Which is the second smallest value? (a) r (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30227241, -30227228, -30227215, -30227202, -30227189, -30227176?\n\"Answer: 13*g - 30227254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -43\/3. Let t be ((-10)\/(-4) + 2)\/(-12). Which is the closest to t? (a) -0.5 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2538, 21, 1, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 10*v**2 + 4*v + 33. Let c be h(11). Let f = 1145 - c. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104184203 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: What is the first derivative of -36*l**2*z - 15*l**2 + 3*l*z + 4*l - 577900*z wrt l?\nAnswer: -72*l*z - 30*l + 3*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006492 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -28234*f**2 - 677617*f - 38. Determine x(-24).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - t - 522 + 525, -4 = -4*z - 5*t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 462 and 1188.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 22*r**2 - 9*r**2 - 7 + 5 - 2*r as j*r**2 + p + m*r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/2 - 115*l**2 + 16137*l\/2 - 156816 = 0.\nAnswer: 32, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/15)\/((-7)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44346 = -4*k - 3*q - 16410, 5*q + 20952 = 3*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.43 - 62.57. Let p = x - -65. Put 4, -0.2, 0, p in decreasing order.\nAnswer: 4, p, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 10:47 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-378)\/(-6804))\/(250\/45)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11684747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2358 less than 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 11*f - 1. Determine o(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76387?\nAnswer: 76387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2\/187 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 20 + 10. Solve -5*o + 23 = -g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z + 4*z**3 - 2*z**3 + 542*z**2 + 3 + 0*z**3 - 543*z**2. Give y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -489, -1213, -2247, -3597, -5269, -7269, -9603?\nAnswer: -12277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178450358 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*12\/(-10)*(7205\/(-22))\/(-131).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62718 times 0.1?\nAnswer: -6271.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -29906, -59522, -89136, -118748?\n\"Answer: u**2 - 29619*u - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*b - 46 + 193. Sort -96, 3, b in descending order.\nAnswer: b, 3, -96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 89. Let s = p + 107. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)\/((((z*z**(3\/5))\/z)\/z)\/z))\/(z*(z**(2\/3)*z)\/z*z)**(3\/28) assuming z is positive.\nAnswer: z**(261\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t**3 - 2*t**2 - t + 2. Let m(l) = -72*l**3 + 6*l**2 + 3*l - 7. Give 2*m(x) + 7*u(x).\nAnswer: 24*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 139\/6 + (-7)\/(4 - -38). Suppose 5*s - w*s**3 - s**4 + 3 + 19*s**3 - s - 2*s**2 = 0. What is s?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/64)\/((-222)\/7696).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 7*s - 5. Suppose 34881*y + 78 = 34868*y. Let u(t) = -8*t + 5. Give y*z(c) - 5*u(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/4)\/((-8)\/32))\/(-39 + 9 - -31).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l - 1. Suppose -3*u = 44 + 22. Let s = u - -20. What is the remainder when 41 is divided by g(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/21 - 2116*i\/21 - 2102\/3.\nAnswer: -2*(i + 7)*(i + 1051)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140 or -252887?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 10*p + 20. Let q be j(-5). Let r be q\/(-30) - 105\/36. Which is bigger: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8. Suppose a = 3*h - 2*h - 40. Suppose 0 = -w - 5*g + h, w + 0*w - 44 = -3*g. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -729, -734, -757, -810, -905, -1054, -1269, -1562?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -20 + 3 + -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12 - 15\/22. Let d = 358 - 504. Let v = d + 1019\/7. Which is the nearest to -21? (a) v (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from chyhhhyhcchhhcwg?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let o(a) be the second derivative of 2*a**3\/3 - 3*a**2\/2 + a. Let f be o(w). Let d(s) = -2*s + 3. Give d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/((-228)\/72) + (0 + -6)*14\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + -353)*((-4)\/2)\/4. Suppose 0 = -3*v + z + 131. List the prime factors of v.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {g: 3, x: 2, y: 10, a: 1, v: 1, o: 2}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12644000 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.452999 and 0.3?\nAnswer: -0.4358997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/3))**(-2\/43)\/(n**1)**(-19))**(-31))**(-27) assuming n is positive.\nAnswer: n**(682713\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17742 divided by 3\nAnswer: 5914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 17*j**2 - 18*j - 11. Let i be x(-16). Suppose 6*g + g - i = 0. Solve 2*v - 14 = -v + m, -g*m - 10 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25181147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 26*o - 25*o. Is -50 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29563048583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 20, 24, -4, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*c + 11*c - 29*c - 70*c)*(-12*c - 2*c - 9*c) to n + a*c**2 + g*c and give a.\nAnswer: 2806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 157395?\nAnswer: 944370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348705 and 13440210.\nAnswer: 4305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2554*a = 2553*a - 15 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 + -0.1. Let h = 4.5 - i. Let y = 1 + -5. What is the nearest to 0 in 0, h, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095 - 98 = -79*r + 49 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80)\/(sqrt(16)\/sqrt(4) + sqrt(4)))\/(sqrt(4) + (sqrt(196) - sqrt(196)*-1)).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 135\/(-18) + (17 - 15) and 11\/2290.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/7*g**2 - 4\/7*g**4 - 16\/7*g - 20\/7*g**3 + 0.\nAnswer: -4*g*(g + 1)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 929510 + 2*k - 5*k - 3563187.\nAnswer: -4*k - 4492697","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55587901\/356 + -156146. Calculate the common denominator of i and 71\/42.\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + (2 - 2))\/(-1). Sort v, 1, -2.\nAnswer: -2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-455)\/(-273))\/((-400)\/10320)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -196. Suppose h = -106 + s. Solve t + 5*y - 9 = 0, h*t - t + 5*y - 13 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 393 from -3.2.\nAnswer: -396.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 653497 = 4*v, 4*i - 390*v - 522803 = -385*v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/60 - t**4\/3 - 4*t**3\/3 + 11594*t**2. Calculate b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (-4 + -21 + 36 + -43)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*w - 39*w + 60. Solve -3*p - 3 = -4*p, 3*p - w = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*k**2 + 24*k**2 + 2*k - 20 - 9 - 3 to the form p + t*k + u*k**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 29*u**4\/4 + 3*u - 46. Find the first derivative of k(b) wrt b.\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22699970*f**2 + 3*f**3 - 22699970*f**2.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5948709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/30)\/i)**(2\/29) assuming i is positive.\nAnswer: i**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bn when two letters picked without replacement from nhnkhnhhhb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/179 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963901598 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 272a43a + 9?\nAnswer: 272a445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, x: 3, q: 6, m: 1}. What is prob of sequence eqme?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6bdd231 + -1?\nAnswer: -6bdd232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -763 - 4?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15286.9 to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 72*c**2 - 27*c + 27. Let q(u) = u - 1. Let n(i) = 2*m(i) + 54*q(i). Let p(g) = 17*g**2. Determine 5*n(a) - 42*p(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 6*c - 8. Suppose c*l = -4, 3*f - l + 1 = 4*f. Suppose -f*a + 2 = -8. Put -4, a, -2 in ascending order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 3960?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o - 4 = 21*o + 3*a, 4*o - 16 = -4*a. Suppose -55*w + 60*w = 3*b + 295, 214 = o*w + 2*b. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a week?\nAnswer: 26208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 38 = m, g = 4*g - 12. Let u(f) = -3*f**3 - 76*f**2 + 49*f - 86. What is u(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7920)*-2*-4)\/((-2*sqrt(132)*-1)\/(sqrt(192)\/sqrt(4)))*6.\nAnswer: 2304*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y - 3*y. Factor -4*w**y + w**3 - 12 - 5*w**2 - 10*w**2 - 24*w.\nAnswer: -3*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287 = 7*d - 75096. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5259*x - 36. Let k be w(4). Round k to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.635 + 82.635. Which is bigger: p or 1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24814.367 - -24841. Round u to 0 dps.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -504*b - 8. Let v be y(-1). What is the greatest common divisor of v and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30863 and 644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - c**2 + 4*c**2)*((-2 - 4 - 3)*(0 + 0 - 2*c) - 8060 - 47*c + 8060).\nAnswer: -58*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(252) + sqrt(252))*6)**2*2 + ((sqrt(252)*1 + sqrt(252) - sqrt(252))*-2)**2 + -2 + (sqrt(252) - (sqrt(252) + 1 - sqrt(252))).\nAnswer: -858*sqrt(7) + 73599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -10*z**4\/19 + 56*z**3\/19 + 184*z**2\/19 + 64*z\/19 = 0.\nAnswer: -2, -2\/5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1071.26 - -0.51599924.\nAnswer: -1070.74400076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1. Let i(s) = 2*s + 6. Let n(y) = -3*g(y) - i(y). Let j(o) = -9*o - 13. What is 6*j(z) - 26*n(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, -7892, 5, -2, -4, -5 in ascending order.\nAnswer: -7892, -114, -5, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - g + 2. Let h be f(2). Let q be (h\/1 + 2)\/(-1). Suppose 5*y - 5 = 0, 4*y = -q*n + 5*y + 3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000584 rounded to six decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 18*d = -5, 5*j = -2*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4.597*0.47\nAnswer: -2.16059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2218*u**2 - u - 3. Let x(t) = 950*t. Determine z(x(d)).\nAnswer: 2001745000*d**2 - 950*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.1510805 and -135542.\nAnswer: -135548.1510805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 1}. Give prob of picking 3 h.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 2 + 1\/48*s**4 + 1\/8*s**2 + 1\/12*s**3 - s. Let y(n) be the first derivative of g(n). Factor y(z).\nAnswer: (z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165462 + 20*h - 73*h + 82731 + 82731.\nAnswer: -53*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.3039497 rounded to two dps?\nAnswer: -159.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**8))\/i**(-3\/5))**(-1\/3) assuming i is positive.\nAnswer: i**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1852?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 55 = -4*o, -4*o - 17*s + 993 - 1098 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.07 (c) -2\/15 (d) -2 (e) -1101\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5893*q + 9*q**2 + 32 - 10*q**2 + 11789*q - 5884*q. Suppose 26 = 2*j - 2. Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 9 - 36 = 0. Does 68 divide 4 + (6 - 2163\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4864016 less than -4864016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 0*m**2 - 14 + 53.\nAnswer: -m**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137 + 141. Suppose -2*u - 35 = -4*u - 5*x, 2*x - 30 = -4*u. Put u, -1, d in decreasing order.\nAnswer: u, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67603, -135204, -202815, -270442, -338091?\nAnswer: -405768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9317535, -9317622, -9317767, -9317970?\nAnswer: -9318231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/22*8\/3. Let l(g) = -6*g - 4. Let x(f) = -f - 1. Let s(b) = a*x(b) - l(b). Let p(c) = -c. Determine s(p(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 122210 and 14140.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 10 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (91*l - 67*l + 187*l)*(-3 + 3 + 6) + (2 + 5 - 5)*(3*l - 2*l + 0*l).\nAnswer: 1268*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.071 - 1.221. Put -0.1, o, -0.05 in increasing order.\nAnswer: o, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2*h**2 - 7 + 0*h**2 + 3. Let q be r(3). Suppose 19 + 18 = 3*u - 4*v, -u = 5*v - 6. What is the greatest common divisor of q and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199314 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429281 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: What is the smallest common multiple of 4 and 8760978?\nAnswer: 17521956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14817004.\nAnswer: 2, 3704251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*z, 371 - 1162 = -2*a - z. Solve 21*v - 334 = -a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(1\/8). What is the common denominator of s\/(-6)*186\/(-16) and -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxzz. What is prob of sequence zxz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/534 and 149\/737382.\nAnswer: 65626998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 7:20 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 15295.\nAnswer: 15294.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dabrrng. What is prob of picking 1 n, 1 b, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 25*k + 51. Calculate q(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1188771 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/17, 2\/7, 0, 1990 in descending order.\nAnswer: 1990, 1\/3, 2\/7, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 + 21*p + 56. Let t(k) = k**2 - k - 1. Let i(y) = j(y) + 3*t(y). What is the hundreds digit of i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 + 89. Solve 0 = 5*m - 8*m - 12, m = 5*i - l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 728 + -716. Calculate the smallest common multiple of 22 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 386872*b**2 - 18721116808*b - 1196567372288.\nAnswer: -2*(b + 64)*(b + 96686)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 2. Let x(s) = s. Let d(a) = c(a) - 5*x(a). Give d(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/438 and -97\/12?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 467*c + 11654. What is v(-25)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2559*z - 2569*z + 280 = 0 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 353 = 4*g - 152, 5*h - 863 = 4*g. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 + -49. Suppose -4*v - 17 + j = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6356150.1 to the nearest 1000.\nAnswer: 6356000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24 = -b, -r - b = -3*b + 1. Calculate the remainder when 13 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 15. Let y(u) = -u**3 + 21*u**2 + 17*u - 71. What is the units digit of y(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f + 7. Let x(w) = -7*w**3 + w**2 + 2*w + 1. Let s be x(-1). Let p(q) = 2*q - 3. Determine s*p(b) + 3*t(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12184112 and 16272?\nAnswer: 109657008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175.7 - -152. Let z = y - -23.6. Which is the biggest value? (a) z (b) 1\/5 (c) 1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:00 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186407061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/19*(1*-3)\/(-3)*(-378)\/13041.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b - 135. Let j be q(-52). Let i(k) = -24*k**2 - k. Let g be i(-1). Let v = j - g. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/49)*g**(-1\/21))\/(g**10\/(g*g**(-25))) assuming g is positive.\nAnswer: g**(-4864\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 203052787 to the power of 1\/2, to the nearest integer?\nAnswer: 14250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*l - 1 = 20, -4*y - 24 = -5*l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80.7 - 89.7. Is a greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3391 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 2*f + 1 + 15*f**3 - 1 to the form o*f**3 + t + q*f + u*f**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59740 divided by -290.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqvqfiv. What is prob of sequence qivl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6347.8385 - 3606.44.\nAnswer: -9954.2785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {h: 3, k: 2, v: 15}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n - 47. What is the hundreds digit of r(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4\/4 + 27*o**3 - 611*o**2\/4 - 33*o + 765 = 0.\nAnswer: -2, 3, 5, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -99*2\/(-10)*-15*56\/(-308)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/207 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (9 + 1 - (-55 + 65))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63672809 - 3*r + 63672809.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*b - 401 = -18*b + 1149 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310845201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5287476 (base 10) in base 2?\nAnswer: 10100001010111000110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7)*a*a*(a**0\/a*a)\/a*a)**(-1\/9)*(a**(-2\/11)\/a)\/a**(-4)*((a**(-5)\/a)\/a)\/a*a*a**(3\/2)*a assuming a is positive.\nAnswer: a**(-2749\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-2 - (-40113197)\/19698527). Let v = k + -2\/42181. Let y = 19071\/10741 + v. Calculate the common denominator of y and 45\/7.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*x**3 + 4 + 2 - 6.\nAnswer: -89*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317960.\nAnswer: 2, 5, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4 and -89\/960.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**0\/q)\/q))**(41\/3)\/(q**1)**(-12) assuming q is positive.\nAnswer: q**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*g + 20. Suppose -4*b = l + 9, 4*l = g*l - 5*b - 11. Let o = 0.019 + 0.281. What is the second smallest value in 6, 1, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006651 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**4\/12 - 13*t**3\/6 - 3*t**2 + 2330*t. Suppose 47 = -5*p - 18. Give f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8828 * 221.\nAnswer: 195.0988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(-7)\/(-14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130187*n - 39 = -130186*n - v, 3*v + 306 = 4*n + 10*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 194 + -14?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = v - 19, 4 = -5*g + 5*v + 119. Let a(u) = -u**2 + 8*u - 9. Let z be a(6). Let p = g - z. What is the remainder when 35 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, 0.5, -0.3, -72.7 in increasing order.\nAnswer: -72.7, -0.3, 2\/21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -15*u + 13*u. Suppose 3*l - 604 = 2*t, -4*t - 5 = -3*t. What is the greatest common factor of l and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)*((q\/q**(-1\/19))\/q)\/q*q)\/((q*q**9)\/(q\/(q*q**(-5\/6)))) assuming q is positive.\nAnswer: q**(-4099\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-2*t + 2*t + t**4) + 0*t**4 + 29*t**4 + 25*t**4.\nAnswer: 52*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92318478?\nAnswer: 2, 3, 7, 37, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20031.5 + -20032. Which is smaller: 225 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1174622468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 (base 10) in base 8?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 184865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-59)\/(6\/(5 - 3635)) + -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*c + 4*o, -c - 3*o + 0 = -5. Let x(h) = 3*h - h - 1 + 2*h - c*h. Let p(f) = -f. Suppose 44*n - 60*n + 80 = 0. What is n*p(g) + 2*x(g)?\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + h = 30, 0*i + 5*h = -i + 18. Calculate the lowest common multiple of 14 + (2\/(-11) - 60\/i) and (6\/(-5))\/(6\/(-135)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/873990 and -1\/2379?\nAnswer: 53313390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -2*k, 3*q = k - 18. Let a(h) = 2*h - 3. Let b(m) = -m. Let c(u) = 2*a(u) + 6*b(u). Let y be c(q). Solve 6 - y = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-474*(-2)\/16)\/((-27)\/(-36)). Suppose -5 = -4*r + k. What is the remainder when r is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-720)\/126 + 2\/2*5\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-27))\/(16\/(-72)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.82*0.2.\nAnswer: 5.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35640 and 203940?\nAnswer: 3670920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1558, 3153, 4752, 6355, 7962?\nAnswer: 9573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 - 6*n + 7. What is m(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7407543 months in decades?\nAnswer: 0.0061729525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(8) + 6*sqrt(64)\/sqrt(8)))\/(-3*(-2*sqrt(384) + sqrt(384)) - sqrt(384)).\nAnswer: sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6060 and 89505695?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 653271 and 2130.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**5 + 3*d**5 - 2*d**5)*(1 - 5 + 0)*(-5 + 2 - 1).\nAnswer: 80*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21572, 87341, 197320, 351515, 549932?\n\"Answer: l**3 + 22099*l**2 - 535*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 9*n + 0*n**3 + n**3 + 5*n to r*n**3 + z*n**2 + l*n + t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900) + 1) + sqrt(1900))**2.\nAnswer: 400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 567758 to the power of 1\/2, to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.318 * 0.1\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.76 in -999, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 - -2.4. Sort 5, h, 0.1 in descending order.\nAnswer: 5, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 34 - 102 = 0. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100212212 (base 3) to base 2.\nAnswer: 10000001011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7486*h - 7486*h + 11*h**2 + 3.\nAnswer: 11*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 - 896*x**4 - 99440*x**3 + 206988*x**2 + 500850*x - 607500 = 0 for x.\nAnswer: -225, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 68 + o**2 - 4*o + 1\/3*o**3. Suppose -2*f - 5*p = 30, 2*p - 15 = -f + 7*p. Calculate c(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*n - 408, -n - 4*g = -0*n - 216. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*h - o + 24, -3*o - 1 = -4*h. Let s(n) = -2*n + 3*n - 3*n + h*n. Let a(k) = -k**2. Determine a(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p**2 - 12. Let q(o) = o + 1. Let l be q(-1). Let d be s(l). Is 6 a factor of (-167)\/(-11) + d\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 348, 519, 690, 861, 1032?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 21 = 13*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27259 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from spsppskppkpsspsppp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -14*h + 2. Let i be a(-2). Is (4\/(-4))\/((-2)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10926880 < -10926880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4533*l - 13606. Give g(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 311488, 311490, 311492, 311494, 311496?\n\"Answer: 2*z + 311486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 33 = 5*l, -x + 4*l + 15 = -3. What is the greatest common factor of 98 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -81, -90, -79, -42, 27, 134, 285?\n\"Answer: x**3 + x**2 - 33*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 4, -2.4, -605?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.28 in -0.2, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580*r - 43*r - 8866 = 39*r - 184*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/(-1760) + 64\/22)\/(0 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 950*s**3 - 2838*s**2 + 2834*s - 944.\nAnswer: -2*(s - 472)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from illrirmllt. Give prob of picking 1 t, 1 m, and 1 r.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-40))\/((-32)\/(-400)))\/((-5)\/8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - q - q)*(-3116 - 3481 + 6123).\nAnswer: -1422*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/3)*c**(-2\/11) assuming c is positive.\nAnswer: c**(49\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 11, 2733?\nAnswer: 2733","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.44253ml?\nAnswer: 0.02044253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/4032 - r**7\/168 - r**6\/16 + 7*r**5\/30 + 3*r**2. Let z(n) be the third derivative of u(n). Let z(g) = 0. Calculate g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/4 - -683\/52. Does x = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghghcmhgc. Give prob of sequence hgm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 250006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 347?\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((-65)\/(-8))*(-2)\/(-8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*n. Suppose n = 2*z + z - 9. What is the third derivative of -z*k**2 - 2*k - 2*k**4 + 2*k wrt k?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 26 = -4*q, 0 = 3*k + 21764*q - 21760*q + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.7 + -4.7. What is the second smallest value in z, -10, 2\/19, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - -12)*(-16)\/(-28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2057 + 2259. Do l and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.012808 to zero decimal places.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 6. Let c be u(0). Suppose 2 = 4*m - c. Solve 2\/3*q**5 + 2*q**4 + 0*q + 2\/3*q**m + 0 + 2*q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*s + 21, 5*s + 0*s = -15. Let o be k + -26*(-4)\/8. Let l be (-3)\/(12\/o) - -18. Solve 4*y - u + l = u, u + 7 = -5*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**4 - 6*g**3 - 30*g**2 + 3*g - 438. Let c(i) = 2*i**4 - 4*i**3 - 29*i**2 + 2*i - 437. Let n(a) = 3*c(a) - 2*z(a). Differentiate n(h) wrt h.\nAnswer: 8*h**3 - 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/2 - 77*v**4\/2 + 73*v**3\/2 + 233*v**2\/2 - 191*v + 76.\nAnswer: (v - 76)*(v - 1)**3*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530 - -1203. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose 4*t - 2*d - 20 = 3*d, 2*t + p*d - 10 = 0. Sort -3, t, -1 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103218021, -206436042, -309654063?\nAnswer: -412872084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3832 rounded to 1 decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3) + -819 + 826 + -123\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 9:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38278614 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1396, 2791, 4184, 5575, 6964, 8351?\n\"Answer: -z**2 + 1398*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 31*f - 2108. What is d(68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*g + 236*g + 36*d - 236 = 0, -5*g + g - 4 = 2*d - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 28*d - 358. Let j be m(13). Let p(a) = -a - a + 11 + 5. List the prime factors of p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 44 = -5*r + 3*g, -4*g + 12 = r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (13 + 7 + -25).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 7*n**2 - 10*n + 39. Let d be x(5). Solve 0 = d*q + 91 - 603 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1)\/x)**(-24))**(9\/8)\/(x**(-2\/5)\/(x*x*x\/x**(2\/17)))**(-2) assuming x is positive.\nAnswer: x**(4032\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 10*g**2 + g - 11. What is s(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-1)\/((-9)\/(-504)). Let y(r) = r**2 - 49*r + 139. Let q be y(h). What is the highest common divisor of 35 and q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*a - 3*u, -2*a + a + 4 = -2*u. Suppose a*x - 47 = 31. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 5. Let d(y) = -2*y + 9. Let u(h) = -6*d(h) - 11*t(h). Let o be u(3). Suppose 2*x + o = 20. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {g: 2, v: 3, x: 7, o: 5, f: 3}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 18*s - 56007 = 14*s, -5*y = -4*s - 279987. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -613 - -617. Let u be -2 + (1*-6)\/(-1). Suppose 0*j = 4*j + u*h - 100, -2*j + y*h = -44. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4174667 - 122?\nAnswer: -4175011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q + 4. Suppose 0 = 29*r - 30*r + 5. Suppose 0 = 4*j + 2*w, -j + 4*j = r*w. List the prime factors of h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-705)\/(-11280))\/(1\/496)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2918c + -5?\nAnswer: 29187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0 (c) 34635 (d) -0.06 (e) -0.2 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 5*k**2 + 2*k - 6. Let w be g(5). Suppose -5*q + 21 = -w. Which is the biggest value? (a) q (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-20))\/(80\/88 + 4462\/(-3795)*1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 8) to base 3\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 6) to base 7\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9000 - 2750 = 122*y - 1258 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let i be g(2). Let o = 4 - 3. Sort 0, o, i in increasing order.\nAnswer: 0, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (36\/10)\/(9939968\/993990 + -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzl when three letters picked without replacement from lzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*v - 16 - 64, -5*k + v = -280. Let m = 42 + k. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 8, -652 in descending order.\nAnswer: 8, 4, -13, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404430 and 9410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 26058877340376?\nAnswer: 26058877340387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-4)\/56*4. Suppose -6\/7*r**2 + 0 + 6\/7*r**3 - a*r**4 + 2\/7*r = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1122 + -1098. What is the greatest common divisor of 1284 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2386 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -13. Let o = d + 12. What is the least common multiple of 14 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/140 and (4025\/(-6))\/25 + 6?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.07627 + 0.07627. What is the fifth smallest value in 2\/5, 19, m, 3, -2\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 176 = -q - 7*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3069 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 25*w - 48. What is the closest to -2 in w, 5, -21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -50358.3?\nAnswer: -201433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 9*o - 4. Determine p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*i**2 + 5*i**2 + i**2)*(1 + 2 - 1) - 5*i**2 - 2*i**2 + 5*i**2)*(-4*i + i + i + (4*i - 4*i - 4*i)*(0 - 2 + 1)).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85.21643 + 0.36143. Let h = s - -85. Let y = -0.145379 + h. What is y rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 0. Which is smaller: i or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 >= 1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q + 38. Let t be v(35). Let z = t + -162. What is the smallest common multiple of z and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1469664 divided by 567\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2134 - 2281?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 418463241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5973187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 267 times 0.16\nAnswer: 42.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.562875584 rounded to 4 dps?\nAnswer: -0.5629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 236078.8mg in grams?\nAnswer: 236.0788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:34 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + (sqrt(35) + 5*sqrt(875))\/(1*sqrt(343))*-1)*5)**2.\nAnswer: -260*sqrt(5)\/7 + 84549\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 3*g**2 + 4*g - 5. Let j be q(4). Let p be (-18)\/j + 28\/6. Find the third derivative of -x**p - 2*x**6 + x**4 + x**2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 322, 313, 292, 253, 190, 97, -32?\n\"Answer: -k**3 - 2*k + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16722 greater than 16724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 130 (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 643 = -637. Factor -46\/3*o**2 - 8\/3 + 40\/3*o + 14\/3*o**k.\nAnswer: 2*(o - 2)*(o - 1)*(7*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412263723 is divided by 137421239.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -57?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-4))\/((-3201)\/388))\/(4\/24).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 17*x + 87. Which is bigger: -8 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(6 - -1 - 5). Let b(f) = -f**2 - 7. Give b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 1\/3*o**3 + 0*o**2 + 0 - 3*o. Let g(p) = p + 1. Let n(x) = -2*x**2 + 4*x + 4. Let l(s) = 12*g(s) - 3*n(s). Give u(l(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i**2 - 6168*i + 24728. Give d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let y(o) = -2*o - 2. Let n(q) = -3*k(q) - 2*y(q). Calculate the least common multiple of 3 and n(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 245896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -456975, -1827908, -4112793, -7311630?\n\"Answer: -456976*h**2 - 5*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 192.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 116. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/7 + -50\/63. What is the nearest to v in -1\/4, -2\/7, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8992.08+-0.24344224\nAnswer: -8992.32344224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*((4*1*sqrt(198))\/(sqrt(99)*-1))\/((sqrt(54)\/(sqrt(12)\/sqrt(4)))\/(sqrt(18)*4)))**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 12 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45664466.93 rounded to the nearest 100000?\nAnswer: 45700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38325 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12648 is divided by 1405.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(270) + sqrt(270))\/((sqrt(12) + sqrt(24)\/sqrt(2))\/sqrt(2) - sqrt(6) - sqrt(6) - 2*-2*sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.422859 rounded to 2 decimal places?\nAnswer: 163.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -45. Let v = 50 - x. Find the first derivative of -v*u - 19 - u - 16*u wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/29 or -286459?\nAnswer: -286459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**2\/v*v*v**(-4\/9)*v*v**8\/v*v\/((v\/(v\/(v\/(v**5\/v))))\/v) assuming v is positive.\nAnswer: v**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from vddcdqrcdqvddqdcdv.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 373584614*j**5 - 3*j**3 - 356*j**2 + 80*j - 31 wrt j.\nAnswer: 22415076840*j**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0107308562 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -b + 17, -3*c = 3*b - 4 - 23. Put c, 2, -15, -3 in decreasing order.\nAnswer: c, 2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17632, 21088, 24554, 28030, 31516, 35012, 38518?\nAnswer: 42034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16373, -16374, -16375, -16376, -16377?\n\"Answer: -n - 16372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 15 - 6 + 1.\nAnswer: 2*n - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2794752.\nAnswer: 2, 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*d + 679 = 335 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 49. Let k be 2\/10 + (-964)\/h + 5. Let n = -30 - k. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*g - 675, -2*g - 3*s + 78 = -196. What is g rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -26 (b) 2\/15 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3208? (a) 0.4 (b) 50 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/21 + ((-7435060)\/(-35) - -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35951942*c**3*d - 11*c**2*d - c**2 + 2*c - 47*d + 179 wrt c?\nAnswer: -215711652*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3558 + 4392. Calculate the remainder when r is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 2:07 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/284 equal to 234529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -308.0931403 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 68 - (107 + -122) - 7\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6*c + 3 = -g, 0 = -12*c + 4*g + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/2 - 2*i**3 - i. Find the second derivative of y(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 4*b + 1. Suppose 2*j - 10 = -4*w + 8, -3*w + 21 = 4*j. Suppose 3*g - 3*x - 6 = 0, 34 = -w*g - 2*x - 3*x. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/10 and 3\/(-75)*(-730)\/24.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 - 8962552*l - 1. Let s(y) = -5*y**2. Calculate i(s(u)).\nAnswer: 50*u**4 + 44812760*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -677\/3 - -224. Which is the third smallest value? (a) 0.4 (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-5)*b\/(b*b\/b**(3\/2))*((b*b**(-6\/7)*b)\/b)\/b*b**(2\/19)*(((((b**3\/b)\/b)\/b)\/b)\/(b\/(b\/((b**1\/b)\/b))))\/((b\/b**6)\/b**(1\/10)) assuming b is positive.\nAnswer: b**(-101\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*t + 103. Suppose -169 = -t*u - 7. Calculate the greatest common factor of u and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(18) + 1 + (sqrt(60)\/sqrt(5)*6 + sqrt(12))\/sqrt(6).\nAnswer: 1 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 11:38 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 195*c - 132?\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by -7*((-48)\/21 + 2) + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -658, -648, -638, -628, -618, -608?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/3)\/(22\/(-9)). Let z(j) = -j**3 - 104*j**2 + 247*j + 36049. Let i be z(-103). Let g = 0.01 - -0.29. Which is the nearest to i? (a) g (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 103160975783?\nAnswer: 103160975783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 - 164*z**4 - 340*z**3 - 172*z**2.\nAnswer: 4*z**2*(z - 43)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 993464297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/10 + 20*x - 1000 = 0?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.7 - -1.3. Let r = v + -17.000035. Round r to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -418982.\nAnswer: -21\/418982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 1 - 13 + 8.\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/70805 and 57\/20041?\nAnswer: 28959245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6664, 6625, 6586, 6547, 6508?\nAnswer: 6469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 3*w + 5*j, -68*w - 6*j = -65*w + 30 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.49, 0.3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u + 4 = -15*u + 4*f, 5*u - 2 = -2*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 0*v**3 + 5*v**2 - 3*v**3 + 2*v**3. Let a(h) = -h**3 + 7*h**2. Let d be 1\/((-3)\/(-5))*3. Let n = -3 - 0. Determine d*p(k) + n*a(k).\nAnswer: -2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-42))\/((-27)\/(-63)*7)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*v = -2*v + 29, -d = -v - 15. Let y = -13 + d. Suppose -180 = -5*u - y*u. Calculate the greatest common factor of 54 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 121. Let d(g) = 12*g - 34. Let b be d(s). Solve -b*v = -6 - 2, 5*v - 24 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9781, -19635, -29467, -39271, -49041?\nAnswer: -58771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let f(l) = -83895299*l. Calculate f(s(r)).\nAnswer: -167790598*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2. Let q(f) = -143*f**2. Calculate q(k(x)).\nAnswer: -143*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/77445588 and 137\/986568.\nAnswer: 154891176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - 1) + (13 - ((0 - -6) + 50 + -42)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 281, 1009, 2403, 4679, 8053?\nAnswer: 12741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 6855*m - 6858.\nAnswer: 3*(m - 2286)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/(-18) + 0\/(-1) and (-1028)\/240 + 2\/(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 37 = 5*a, -4*y - 4*a = 9 - 45. Solve 96 - 16*k**y - k**4 - k**4 + 144*k - 24*k**3 - 3*k**5 - 53*k**2 + 101*k**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 + 17*w + 58. Let z be y(-3). Suppose 4*h - h = 12. Sort -5, z, -1, h.\nAnswer: -5, z, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-108)\/30))\/(11\/22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7186 take away -85?\nAnswer: -7101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 - 12*z + 10. Let r be x(-12). Let w = -537\/4 - r. What is the biggest value in -0.5, -0.05, w?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -465195781404 take away 22.8?\nAnswer: -465195781426.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + -15. Let g be ((-71)\/13 - 18\/(-39)) + 96\/21. What is the second smallest value in -4, g, -0.1, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1076*o + 2*w = -1075*o - 18669, -2*o = 3*w - 37331. What are the prime factors of o?\nAnswer: 11, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.202 - -2.202. What is the nearest to -0.1 in -71, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -167a768 + 12?\nAnswer: -167a756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 5*l**2 - 5*l + 4. Let j(r) = -r**2 - r + 1. Let c be (0 + 55\/(-2))*(3 - 1). Let m = c - -56. Determine m*w(u) - 4*j(u).\nAnswer: u**3 - u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a minute in seconds?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i + 2. Let y be c(-2). Let m be (-11)\/14 + y\/14. Do m and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242218951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2652 and 624?\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6 + 3\/(-9). Let j(f) = -f**3 + 3*f**2 - 2. Let p be j(o). Let c(u) = -u**3 - u + 1. Let s be c(p). Calculate the highest common divisor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.014 + -26.986. Let i = z - -27. What is the nearest to i in -3, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-116 - -106 - (10 + 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - 55) + -2 + 1 + 2 + -5 - 46.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 41752180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 b when four letters picked without replacement from {b: 11, o: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -11*c**3\/3 + 12. Let q(d) = -4*d**2. Let m(b) = 6*o(b) - 17*q(b). Let v(z) = -2*z - z + 6*z. Give v(m(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 4, t: 8, g: 1, k: 4}. Give prob of picking 2 i.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = f + 5*x, -5*f + 17*x + 30 = 22*x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 - 2\/3*x**3 + 0*x**4 + 0*x + 16 + 2\/5*x**5. Let u(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6*g**3 - 1 - 12 + 9 + 78*g**2 to the form p*g**2 + n + o*g**3 + i*g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 - 13*p. Let o(t) = 3*t**3 + 12*t. Suppose u - 12 = -2*u. Let q(c) = u*r(c) + 5*o(c). What is the second derivative of q(a) wrt a?\nAnswer: 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 22358581?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + -2 - (22 + -30 + (10 - 13 - -16))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 4:14 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124520478.\nAnswer: 2, 3, 17, 131, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.076 - -0.024. Let t = 0.1 - 0.17. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 31, 98, 207, 364, 575?\n\"Answer: q**3 + 12*q**2 - 12*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (146\/10 + -8)\/((-6)\/(-20)). What is the smallest value in 1, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2 - 7*i + 7. Let r(z) be the third derivative of -z**5\/20 + z**4\/6 - 2*z**3\/3 - 23*z**2. Give -3*m(q) - 5*r(q).\nAnswer: -3*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d - 9. Let n be b(4). Let i be ((-18)\/24)\/(1\/(-4)). Differentiate -5*s**i + n*s**3 + s**3 - 1 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 39*k + 6. Give z(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 27. Let r(y) = 2*y + 33. Let p(x) = 4*a(x) - 3*r(x). Let o = -1 + 1. What is the smallest common multiple of 3 and p(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1066\/(-164))\/((-4)\/(-8))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1898 - -1967. Suppose -2*k - 46 = -4*k. What is the greatest common factor of k and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 124.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**8\/6720 - q**7\/840 + q**6\/180 - q**5\/30 - 7*q**4\/4 - 13*q. Let z(w) be the third derivative of k(w). Determine z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04097910255 to 5 decimal places.\nAnswer: 0.04098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 19*m**2 - 45*m - 14. Let z(r) = -r**3 - 3*r**2 - 3*r. What is the remainder when x(16) is divided by z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1*(-12)\/40?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:23 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 115499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -842, -2975, -7162, -14087, -24434, -38887?\nAnswer: -58130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8224686*n**2 - 3*n + 134394940 wrt n?\nAnswer: -16449372*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6*(-6)\/4. Suppose -g - 4*g = 0, 3*r - 3 = 5*g. Let n be 10\/40*12*r. Which is the biggest value? (a) n (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -2.4. Let y = 0.23 - -0.07. Let r = -0.5 + y. What is the second biggest value in -1, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1709.458 to zero dps.\nAnswer: -1709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23080 and 5490?\nAnswer: 12670920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 31*m**3 - 4*m**2 + 24*m**3 - 59*m**3 + 10*m.\nAnswer: -4*m**3 - 4*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2863 + -0.3163. Sort b, 165, -1\/5 in increasing order.\nAnswer: -1\/5, b, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4145 divided by 829\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 0 - 6*n + 1 + 0*n - n**3 + 5*n**2. Suppose 7*b - 602 = -574. Give o(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4778 + 4800. Calculate the lowest common multiple of k and 3520.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11 = 2*k, -3*g + k - 21 = -2*k. Let x = 5 + g. Do 38 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -599.03 to the nearest integer.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19659, -39595, -59801, -80277, -101023?\n\"Answer: -135*l**2 - 19531*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1441*a*b - 22*a - 50 wrt b?\nAnswer: -1441*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x - 1 - 1 - 3*x**2 - x**3 - 8*x + x. Let o be (1 + 21\/(-12))*4. Let a = 0 + o. What is r(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i**3 + 608 - 609 - 23*i + 6*i**3 + 2*i**3 + 72*i**2 to r + z*i + f*i**3 + m*i**2 and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136410 and 540.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79937419?\nAnswer: 79937419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i + 4*y + 4 = 0, 0 = -2365*i + 2361*i - y - 61 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13658521*z - 6829259*z - 6829186*z.\nAnswer: 76*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3*q - 81*o*q**2 - 91*q**2 wrt o?\nAnswer: 6*o**2*q - 81*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0427 - 0.0562. Let m = n + 0.0035. Which is the smallest value? (a) m (b) -2\/15 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -387 + 560. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1485?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*(-123)\/4*1\/3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -48*v**6 - 364*v**3\/3 + v**2\/2 - 42. What is the third derivative of o(c) wrt c?\nAnswer: -17280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let j(r) be the third derivative of 1453*r**5\/15 + 2801*r**2. Calculate j(v(z)).\nAnswer: 23248*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 7*d - 104. Suppose -5*v + 4 = -4*n, -3*n = 3*v + d - 32. Solve -2*c - v = -3*q + q, 2*c - 26 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -599.251 + 0.251. Let b = d + 599. What is the closest to b in 0.4, -1\/13, -4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11186.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8 (b) 28 (c) -4 (d) -2.4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3177042 rounded to three decimal places?\nAnswer: 2.318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.92 + -32. Let n = 53055 - 53054.9199905. Let c = n + g. What is c rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iji when three letters picked without replacement from djiyi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983905670?\nAnswer: 2, 5, 11, 8944597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 45 + 115)*(0*l + 3*l - l).\nAnswer: 182*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-3\/10)*h*(h*h**(-4\/15))\/h*h**(-22) assuming h is positive.\nAnswer: h**(-337\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290 = -5*h + 5*m, -22 = h - 2*m + 34. Let j be 1*(2\/(-2) + 116). Let y = h + j. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164697?\nAnswer: 23, 79, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 6*g - 14. Let q be w(-4). Let m = q - -27. Solve 5*f - m + 0 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 8*s - 10. Let a be z(-6). Suppose -176 = 4*v + a*t - 990, 201 = v - 2*t. Is v + -1 + -6 + 7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310427917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534\/10 - (3 + 52\/(-20)) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44507400 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*s - 11 - 499. Suppose -4*l - 3*f = -0*f - 606, 449 = 3*l + 5*f. What is the greatest common factor of l and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431 is divided by 306?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.743722 to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n**4 + 758*n + 37*n**3 + 14 - 40*n**3 - 757*n to the form c*n**3 + q*n**2 + s*n**4 + u*n + r and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*l - 105*l + 72*l**2 + 2 + 54*l**2 - 24*l + 58*l**2 wrt l?\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6702958946 minus 11?\nAnswer: -6702958957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + -7b?\nAnswer: -fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61 - -311444?\nAnswer: 311525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194 - 644 - 3364 = -171*h - 559 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2303 or -960.5?\nAnswer: 1\/2303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-2)\/(-6). Let x = -2 - 2. Let m = -4.5 - x. Which is the second smallest value? (a) m (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91\/26*4\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1862, 1854, 1870, 1922, 2022?\n\"Answer: 2*q**3 - 22*q + 1882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z - 954*z**2 - 1024564 + 1024564 in the form c*z**2 + n*z + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:17 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 37502*x**2 - 8*x. Let a be r(4). What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13 + 6 - p**2 + 48*p**3 + 161*p**3 - 3*p**2 + 12 wrt p.\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -234, 10615, 0.1 in descending order.\nAnswer: 10615, 0.3, 0.1, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 3043?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {x: 1, n: 3, j: 6, i: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913 at most as big as -1914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-278)\/24464).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**3 + 0 + 0 + (-2*g**2 + 14 - 14)*(7*g + 3*g - 3*g) + 297*g + 7*g**3 - 297*g in the form r*g**2 + v + c*g + k*g**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1249120?\nAnswer: 2, 5, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khzk when four letters picked without replacement from {z: 8, h: 5, k: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.31 - 3.71. Let s = 932 + -6509\/7. Put z, 0, s in increasing order.\nAnswer: z, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -8*b. Suppose -3*w + 6*c + 25 = c, 2*c + 4 = b. Suppose 4*n + w*p - 272 = 0, p = -2*p - 12. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 - 9*u**2 + 3*u**2 + 13*u**2.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4255180*n*t**3 + 11*n - 172459 wrt t?\nAnswer: 12765540*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.2 (b) 11 (c) -2 (d) -4\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + 3 + (-8 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -5 (c) 1.6 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-1)\/(-3)). Let p = -0.1 - 0. Let c be ((-5)\/((-5)\/(-4)))\/3. What is the biggest value in p, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3\/3 + b**2\/2 + 7*b - 15. Calculate w(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-30)\/(-576)*1)\/((-1225)\/245)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:30 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3735 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101458 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24468514 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15935237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - j = 1, 4519*n - 4*j - 4 = 4516*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-90)\/(-6))*1*-2. Let u be ((-3)\/4)\/(66\/(-16)). What is the smallest value in -0.01, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 10:46 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42166 (base 9) in base 4?\nAnswer: -12303003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -132.\nAnswer: -7\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 13. Let y be (24\/7 - 2)*7. Let u = y - t. Solve x - u*x = -9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*f**4 + 9*f**4 + 58*f**4 + (-2*f**2 + 0*f**2 + f**2)*(-2*f + 2*f + f**2) - 4*f**4 + 2*f**4 + f**4.\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 4*x**3 - x**3 + x**3 - 2*x**3 + 0*x**3 + (164*x**2 - 92 + 92)*(x + 0*x + 0*x).\nAnswer: 166*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 408 + -2044\/5. What is the nearest to 0.06 in z, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5370587065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -26. Sort b, -4, -2 in decreasing order.\nAnswer: b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + 5 - 3*j + 13*j**2 to b + d*j + h*j**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25296191.\nAnswer: 59, 107, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217014 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 470, 1072, 1920, 3014, 4354, 5940?\nAnswer: 7772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88, -845, -2888, -6859, -13400?\n\"Answer: -107*n**3 - n**2 - 5*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**3 - 5*d**2 + 6*d. Let i(x) = -29*x**3 + 15*x**2 - 17*x. Let t(r) = -17*f(r) - 6*i(r). What is the third derivative of t(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkzhyzzyyzzpyyyzhp. What is prob of sequence zpy?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 357*i**2 + 1061*i + 352. Determine g(354).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w - 6. Let t be 4 + -1 + w + -4. Sort t, 1, 4.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878660739.\nAnswer: 3, 11, 701, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + -2 + 3)**2 - (-2 + sqrt(200)*-1 + sqrt(200))) + 1)*-1 + 0.\nAnswer: -204 - 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32333, -33289, -34899, -37175, -40129?\nAnswer: -43773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 12:55 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 19. Is n >= 2\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*j - 18 = 0, j = -3*m + 6*j - 4. Find the first derivative of 8*a**m - 1 - 8*a**2 + 30*a**4 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4843.523 centimeters?\nAnswer: 0.04843523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 9 = -9*l + 6*l, -19*l + c + 6 = -17*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2769*b**4 + 322*b**3 + 7*b**2 - 16370812*b + 2.\nAnswer: 33228*b**2 + 1932*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 - 4 + 5*v**2 + 4 - 4*v**2 - 3. Let z(s) = -3*s + 6. What is -4*n(i) + z(i)?\nAnswer: -4*i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -167, -450, -931, -1658, -2679, -4042, -5795?\n\"Answer: -8*n**3 - 27*n**2 + 4*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163.5 rounded to the nearest ten?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -30. Is (-126)\/4*8\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 44\/(-16)) + (-4522)\/(-136). Calculate the highest common divisor of j and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(100\/(-60))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1122*l**3 + 1 + 1105*l**3 + 6*l - 8*l - 3*l + 3*l + l**3 - 1 - l**3 + 1 + (0*l - 2*l**2 + 0*l)*(1 - 2*l - 1).\nAnswer: -13*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Let r(w) = 405*w - 810. Let o be r(2). Let p(u) be the second derivative of 0*u**3 + 7\/12*u**4 + o*u**2 - 12*u + 0. Calculate i(p(g)).\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2234970, 2234974, 2234978, 2234982, 2234986, 2234990?\n\"Answer: 4*v + 2234966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 99580870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1.3, -4 in ascending order.\nAnswer: -10, -4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*w + 26, -3*k + 1 = 4*w - 16. Are -1\/11 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016671 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 24, 0 in ascending order.\nAnswer: -10, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/2 + -5. Which is the third smallest value? (a) 2\/7 (b) f (c) 11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n**5\/5 - 24*n**4\/5 + 64*n**3\/5 + 96*n**2\/5 - 32*n\/5 = 0. What is n?\nAnswer: -2, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 207086452783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggh when four letters picked without replacement from hghwhghghg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80) + -6*sqrt(80))**2 + 2 + (0 + 3 + sqrt(125) + 0)**2.\nAnswer: 30*sqrt(5) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/27 and -86\/255?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95547.1155 - 95170.4. Let m = 376.3255066 - y. Let r = m - -0.39. Round r to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f = 135*f - 108 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctmz when four letters picked without replacement from {z: 3, t: 5, i: 3, c: 3, m: 1}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 59*q**6\/180 - 52*q**3\/3 + 6*q**2 + 3*q. Let k(d) be the first derivative of y(d). Let a(z) = z**2. What is k(a(h))?\nAnswer: 118*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*j + 4*t + 24, -2*j + 5*t + 29 = 0. Suppose 0 = -j*p - d + 4 + 6, -4*p - 5*d + 14 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657753630 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*2*-4 - sqrt(176)*3) + -1 + ((sqrt(88) + (sqrt(88)*-2 - sqrt(88)))*-1)\/sqrt(2) + -5.\nAnswer: -16*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1866304 and -43\/6336.\nAnswer: 16796736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 70. Suppose 5*p - 6 + s = 0. Sort -5, 0, p.\nAnswer: p, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.4457401 - 24896?\nAnswer: -24149.5542599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j**2*p**3 + 924*j**2*p - p**3 - 100*p wrt j?\nAnswer: 2*j*p**3 + 1848*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3018089 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -37*4 - -1. Let q = -106 - n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69368045 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 158. Let h = v + 59. What is the biggest value in h, 0.46, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.4 - -20. Let t = -1.01 - -0.81. Put t, -1\/11, h in ascending order.\nAnswer: h, t, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6464 and 24480077?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(-55)\/(-132)*-8\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41087291 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 1, u: 1, l: 2, g: 1, z: 2}. What is prob of sequence ug?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4 - 22014*x**3 + 154203*x**2 - 308466*x + 176280 = 0?\nAnswer: -7345, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 82667 (base 12) to base 15\nAnswer: 356c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n. Suppose n = 2*f - 2565 - 2187. What is the common denominator of -43\/14 and 2148\/f - 4\/22?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 g when four letters picked without replacement from czjqwzczzzqgczg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24512 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 398773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 8*c - 468. Suppose c*r - 47*r - 265 = 0. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/19 (b) -3 (c) 0 (d) -5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -2\/3, 373, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1316 - -1910. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 6a04a675?\nAnswer: -6a04a675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szz when three letters picked without replacement from szsszs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20887*v**3 + 5906*v wrt v?\nAnswer: 125322*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/88 and 65\/612.\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -7*x**2\/2 - 7*x - 10. What is the remainder when k(-3) is divided by ((-40)\/24)\/((-2)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**3 - b**2 - 3. Let s = -2 + 5. Let g(v) = 1. Let f(m) = s*g(m) + u(m). Calculate f(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 + 2. Let a = 131 - 391\/3. Let y = 151 + -128. Sort -4, y, a, z in ascending order.\nAnswer: -4, z, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 3, v: 1, t: 1, a: 4, w: 6}. What is prob of picking 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(399)*-1)\/sqrt(7))\/(sqrt(21)\/(-2*sqrt(7)) + sqrt(297)\/sqrt(11)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1078224156.\nAnswer: 2, 3, 53, 188369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 9*t + 9 = 0. Let w be ((-6)\/12*0)\/(0 - t). Solve g - 6 + 3 = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568565316.\nAnswer: 2, 22447, 28607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a**2 - 7*a - 98. Let o(c) = -5*c**2 - 2*c - 28. Let l(x) = 2*j(x) - 7*o(x). Let r(d) = 150*d. Calculate r(l(m)).\nAnswer: 450*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 30*y + 7 = 28*y, -4*y = s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhn when three letters picked without replacement from hkzkkkhuzkuhuknehku?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -34. Find the third derivative of -q*x**2 + 16*x**5 - 38*x**3 + 38*x**3 wrt x.\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**2 + 34 - l**2 + 140 + 3*l**2 + 89 to b + x*l + f*l**2 and give b.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685632 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Let r = 618 + -616. Put 3, i, r in ascending order.\nAnswer: i, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1)*1*-2. Let g = -1.6 + 1.3. What is the nearest to 3\/4 in 0.1, b, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = 4*p, p + 106*d = 110*d + 8. What is the lowest common multiple of p and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259938 to the power of 1\/2, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*i = 3123, -y + 87 = 3*i - 530. Suppose 3*s = 4*o + 50 - 109, -4*o + 5*s = -61. What is the greatest common divisor of y and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - -12. Let q = o - 20. Sort 1, 0, q.\nAnswer: 0, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3138 - 3910 = -193*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 104*g**2 - 105*g - 107. Is i(54) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 3\/4 (c) -0.2 (d) 3717 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38286 + 11384 = -933*x + 12176 - 4491 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12031746 (base 8) to base 12.\nAnswer: -a70886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*z + 77 = -530, -3*n - 360 = z. Let o = -114 - n. Solve -4*y + 4*q - o*q = -3, 4*y + 2*q - 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:51 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*u - 6*u. Suppose 4*x + x = -4*b + 119, -5*b + u*x = -124. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1786738, -1786829, -1787076, -1787557, -1788350?\n\"Answer: -13*g**3 - 1786725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*y - 20 = 0, 4*y = 2*l + 53 - 9. Let i = l + 50. What is the greatest common factor of i and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 378 = 2*y - 46, 1 = -y. Calculate the greatest common factor of 80 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12496708 is divided by 19196.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143746 is divided by 71676?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63788547.\nAnswer: 3, 21262849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 2.73316638972777?\nAnswer: 3.13316638972777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - -11 - (0 + 30). Let l = v + 38. Solve r + 3*o - l*o - 23 = 0, -o = -2*r + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/60 + 231\/(-132).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 19*l - 3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from rllzrrlllllrrlzl.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39971, 160026, 360105, 640208, 1000335?\n\"Answer: 40012*h**2 + 19*h - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3*u + 11 = 0, y + 2*u + 13 = 5*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 m when three letters picked without replacement from {m: 1, s: 4, i: 6, x: 1, v: 2, h: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3190, -4972, -5340, -4294, -1834, 2040, 7328?\nAnswer: 14030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16172, -64594, -145304, -258308, -403612?\n\"Answer: -r**3 - 16138*r**2 - r - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16313.724 minutes in weeks?\nAnswer: 1.618425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -20*q + 2. Suppose 0 = -4*g - 9 + 5. Calculate the remainder when l(g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226928967.\nAnswer: 3, 61, 547, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3944 + 3949. Let u(i) be the third derivative of 0*i + 0 + 11*i**2 + 0*i**3 - 4\/15*i**s + 19\/24*i**4. What is the second derivative of u(l) wrt l?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -58, -136, -246, -388, -562, -768?\n\"Answer: -16*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 20 = 2*f, -2*z - f + 5*f = 24. Let q = 5 + -5.1. What is the closest to 1 in q, z, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.27 - 3.95. Let s = 3.32000184 - t. Round s to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156221 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.31 - -0.11. Let x = j + 0.9. Let m = -2.5 + 0.5. What is the third smallest value in -0.5, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k - 329. Let z(u) = -11*u - 166. Calculate 3*t(v) - 7*z(v).\nAnswer: 8*v + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.2 * -3.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9*b - 6. Let p(a) be the first derivative of a**3\/3 + a**2\/2 - 7*a - 19. Let f be p(-5). Let g(h) = -4 - f + 0 + 4*h - 30*h. Give 6*g(l) - 17*j(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 5. Let q(u) = -3*u - u**2 + 3 + 3*u. Let l(w) = 3*j(w) + 5*q(w). Let t(i) be the third derivative of -i**5\/60 - 20*i**2. Give t(l(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 = 3*f - 3*s, -4*f + s = -s - 360. Let j = 134 - 126. Calculate the highest common factor of j and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o = i + 81, -21 = o - 8*i + 5*i - 3*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -522858 by -174286.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2785, -3\/8 in decreasing order.\nAnswer: 0.2, -3\/8, -2785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12088, 17940, 27692, 41344, 58896?\n\"Answer: 1950*m**2 + 2*m + 10136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 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: Let f(i) = i**2 - 106*i - 308. Let s be f(-3). Put s, -1, 153 in descending order.\nAnswer: 153, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.99 - -7.6. Let l = -0.3899908 - t. Round l to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -167.3 and -111434614433?\nAnswer: 111434614265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105426 (base 7) to base 6.\nAnswer: -222430","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i + 0*i + (i - 3*i + i)*(1 + 4 - 3) - 6*i + 0*i + 2*i)*(-3*i**2 - 2*i**2 + 7*i**2).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142 - (-54 - (-151 + -180)).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222110 - 1122000222222?\nAnswer: -1122001222102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**3 + 46*o**2 + 53*o + 301. What are the prime factors of g(-19)?\nAnswer: 63913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -14*f**2 + 17*f**2 - 5*f**3 + 2*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -15. Let w = 42 - 33. Let q = i - w. Which is the closest to -1? (a) q (b) 0 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 + 23 = 0, 5*j = -2*r + 7. Suppose d + 4*o = 16, -4*d = -2*o + 5*o - 64. Suppose -18*v = -d*v - 6. What is the highest common factor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 - 2*m - 2. Let p be q(3). Suppose n - 75 = -4*n. Let c = n - p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 o be (-63)\/28 - 1\/(-4). Let f be (-28)\/2*1\/2. Let g be (o\/7)\/1*f. Sort -3, 3, g.\nAnswer: -3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 1, l: 3}. What is prob of picking 1 c and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1574\/9 + -7879\/45. Which is smaller: t or 0.17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 1, q: 3, x: 3, k: 2}. What is prob of picking 1 h and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 - -46 - -46 - (-1 - -14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - y + 2533 - 1256 = 1356, 0 = 2*s - 5*y - 24 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 - -4. Suppose -2 = -2*g + 3*g - 3*t, -g - 7 = 2*t. Let q(r) = r**2 + 6*r. Let h be q(g). What is the nearest to 0 in h, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815031311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(864) - (-2*sqrt(864) + sqrt(864))))\/(sqrt(72)\/(2*sqrt(6)*1)).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + -1.5. Let p = -0.25 + -1.45. Let t = p + o. What is the smallest value in 13, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1081645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -14*o**3\/5 - 172*o**2\/5 - 328*o\/5 - 16 = 0.\nAnswer: -10, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 76, 79, 84, 91, 100, 111?\n\"Answer: v**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c. Let w(p) = 1381546*p**2. Calculate v(w(b)).\nAnswer: 9670822*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8968862*d**2. Let p(w) = w. What is h(p(g))?\nAnswer: 8968862*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479699 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 - -119 - (0 + -19)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -23.\nAnswer: -11\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*r = 26*r - 1289640. What are the prime factors of r?\nAnswer: 3, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 8*n**2 - 5*n - 9. Let p be f(7). Suppose 5*r - 5 = 4*v, 0 = -5*r - 0*v - p*v + 50. Solve -j + 8 + 12 = -4*i, i + r = 3*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 5, -4, 223 in decreasing order.\nAnswer: 223, 5, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 1\/3*a**4 - 2\/3*a**3 + 0*a + 1\/6*a**5 + 0 - 4\/3*a**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21266 + -21270. Let q(a) = -4*a**3 - 17*a**2 - 2*a - 4. Give q(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 16*d**2 + 313*d - 95. Calculate a(-11).\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 632 and 17222.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -1, 4, -3 in decreasing order.\nAnswer: 18, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g + 6. Is n(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r - 18 = 56*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527*s = 2620*s - 2790 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*(q*q**2*q)\/q)**(-4\/15) assuming q is positive.\nAnswer: q**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/8 (b) 4 (c) -5 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 - 477. Which is the smallest value? (a) p (b) -2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/14 + (-420)\/(-49). What is the tens digit of -10*(r\/(-2) + 6\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d - 33*d + 8476 = -9331 + 19156 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69484?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c - 322. Let r be 216\/10 + -4 + (-48)\/80. Let k be p(r). Let g(l) = 5*l**2 - 11. Let f = -7 + 1. Let j(m) = -m**2 + 2. Determine f*g(h) + k*j(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o + 2. Let s be w(0). Factor -3*y**4 + y**2 - 12 - 12*y + 0*y**s + 6*y**3 + 8*y**2.\nAnswer: -3*(y - 2)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3872\/(-1210)*165\/(-572)\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7))**(2\/9)\/((d*d**8*d)\/d**(-4)) assuming d is positive.\nAnswer: d**(-878\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 - -550?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 661.7786 decades to months.\nAnswer: 79413.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -2\/23 (b) 105 (c) -0.5 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - -2 - (-80)\/22 and ((-954)\/240)\/((-12)\/16)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z + 14 = 2*a, 4*a + 5*z = 31. Solve -a*r + r = 2*v + 5, 4*v = -3*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2628475 and 8225.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 1\/6*m**4 + 0 + 1\/2*m**3 + 1\/2*m**2 + 10*m - 27\/10*m**5. What is the units digit of s(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y**3 + 7*y**2 - 2*y + 7. Let l(j) = 7*j**3 + 4*j**2 - j + 3. What is 3*k(t) - 5*l(t)?\nAnswer: 7*t**3 + t**2 - t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 28*s**2 + 73*s - 2232. Give g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28.06. Round b to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - w - 3*w)*(-4 + 3 + 3)*(6 - 4 - 4)*(0 + 0 - 4*w) as d*w + v + k*w**2 and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1673 or -359?\nAnswer: -1673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*k**2 - 474*k**2 - 10*k - 259*k**4 + 2*k**3 + 12*k as c*k + h*k**3 + l*k**4 + y + o*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 728, 608, 488, 368, 248?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*t**4 - 3*t**3 + 583*t**2.\nAnswer: 192*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 49 + 45 = -f, -11*f + 44 = p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbadbndnndddbnnnd. What is prob of sequence bnan?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - a**2 + 4*a - 3. Let v(z) = -10*z**3 - 456 - 3*z + 6*z**3 + 458. Calculate -2*l(n) - 3*v(n).\nAnswer: 2*n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1623242 - 2442?\nAnswer: 1620500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 5 - 45\/8*a**2 - 35\/12*a**3 - 5\/2*a. Factor m(k).\nAnswer: -5*(k + 1)*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*u + 4*u. Suppose -2*f - 3*x = 2*x - 82, -4*x + 78 = 2*f. Solve 0 = 2*n + 4*b + b + f, -3*n = -b + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210314 divided by 5\nAnswer: 2210314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 0 - 5\/6*m**3 + 0*m + 1\/24*m**4 + 17\/60*m**5 + 7*m**2. What is the tens digit of l(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 1146*i - 1150*i + 20, 4*x - i = 16. Calculate the remainder when 419 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.95 + 11. Let b = 0.45 - p. Let a = 0.1 - 0.3. What is the second biggest value in b, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 15*c**4\/4 + 2*c**3 + 2. What is the third derivative of f(b) wrt b?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.744 + -2.86. Let s = v - -0.11595. Round s to six decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-24)\/5)\/(15\/(-100)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 9 = 8*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 37.66387.\nAnswer: 38.56387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3150 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13703, 13691, 13667, 13625, 13559, 13463, 13331, 13157?\nAnswer: 12935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*m + 33, -2*m = m + 3*r - 54. Solve -q + 1 = 0, m = -3*b + 4*q - 2*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121012310 (base 4) to base 14\nAnswer: 29696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5*m**(-1\/30)\/m)**(-49))**9 assuming m is positive.\nAnswer: m**(-17493\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/26 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37468345 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/5 + -13\/20. Let w be (15\/(-4))\/((-6)\/16). Suppose 5*i - w = 5*z, 2 - 6 = -2*i - z. What is the nearest to h in i, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5378794 (base 10) to base 11\nAnswer: -3044193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -79 (b) -0.5 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-2222)\/303).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*12\/8 - 0. Let b be -2*2\/q*27\/12. Solve x = j - 4, -4*j = -b*x - 7 - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -4122 (c) 1\/8 (d) -2 (e) 4 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let t(g) = f - 3 - 2*g + 6. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:35 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 2*r**2 - 2*r + 2. Let w be t(-2). Let d = -6 + w. Suppose 5*u - 4*i = -d*u + 62, -36 = -2*u - 4*i. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -2 + -3)*3\/9. Let o(w) = 8*w**2 + 5*w - 22. Let j(b) = b**2 - b. Let p(m) = c*o(m) - 5*j(m). Find the first derivative of p(t) wrt t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 330*t + 347. Determine n(0).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*l**4 + 7*l**3 - 7*l**3 + (-1 - l + 1)*(-2*l**3 - 3*l**2 + 3*l**2) + 0 + 2*l**4 + 0 + 3*l**4 - 6*l**4 + 2*l**4 + 19733 - 36*l**4 - 19733 - l**2.\nAnswer: -50*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 + 11*r + 7. Suppose 0*a - a = -6. Let u(h) = 2*h**3 + 10*h**2 + 21*h + 13. Let q(m) = a*u(m) - 11*x(m). Calculate q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + sqrt(2)*1).\nAnswer: -9 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 303805271?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3\/200, 0.4, 2\/9, 0.3.\nAnswer: -3\/200, 2\/9, 0.3, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/(-147))\/(((-1155)\/(-7029))\/35).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c - 115. Let o(w) = -10*w**2 - 3*w. Calculate k(o(v)).\nAnswer: 100*v**2 + 30*v - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/12 - 4*c**3\/3 - 3*c**2\/2 + c. Give z(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/31, 0, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.058 and 121.\nAnswer: 121.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 29. Let q = w - -11. Let v(k) = -k - 7. What is the remainder when v(q) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 2*k**2 + 3*k**2)*(-2*k**3 - 3*k**3 + 3*k**3) - 3*k**5 - 2*k**5 + 4*k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 4*n**2 + 4*n**2)*(-5*n**2 + 3*n**2 + 3*n**2 + (-4*n + 3*n + 3*n)*(-3*n + 5*n - n) - 4*n - n**2 + 4*n) + 42*n**4 - n**4 + 16*n**4.\nAnswer: 61*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6 + -1)\/(77\/(-99)). Sort 2, 39, b in decreasing order.\nAnswer: 39, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946268.874 rounded to the nearest 10000?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0155642631 rounded to 4 dps?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b - 100. Let k be n(-5). Suppose k = x + 2*p - 13 - 1, 0 = -3*x - p + 17. Solve 3*j = 5*f - 13, 2*j = -x*f + j + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 13, v: 1}. What is prob of picking 1 v and 2 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (0 - 3 - -2). Suppose 24 = -z*c - c. Let w be 5 + -7 + c\/(-2). Solve 8 = -2*g - w*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/27, 0.2, -0.4, 0, -0.1 in increasing order.\nAnswer: -0.4, -0.1, -1\/27, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24262885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 141\/6 - 6\/(-4). Suppose -2*t = o - v, o + t + 0*t = 22. What is the remainder when 54 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 371.9216 + 0.0784. Let b = t + -373.13. What is b rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let t(n) = -7*n**2 - 101*n - 38. Let j be t(-14). Let o(d) be the third derivative of 0 + 7*d**2 + 0*d + 0*d**3 + 5\/24*d**j. Calculate v(o(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-2*(-3)\/(-12))\/(17\/(-102)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 4 - 696*s**3.\nAnswer: -696*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1023 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 11) in base 10?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 9 - 1*-12. Suppose -2 = -n - 0, c + j = -n. Which is greater: -9 or c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:31 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 14) to base 11\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1781*a - 1767*a = 672 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1836 + 19322?\nAnswer: 17486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 12, -2932*u + 12 + 2 = -4*t - 2934*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2. Let z(u) be the second derivative of u**4\/6 + u**3\/2 + 24*u. What is k(z(f))?\nAnswer: 8*f**4 + 24*f**3 + 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -327538712 divided by -1\nAnswer: 327538712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 + 21*c**3 + 5*c - 5*c + 24*c**3.\nAnswer: 33*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t = 12. Let g(d) = -4*d**3 + 5*d**2 + 2*d + 1. Is g(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 2, -3*l + 2*n + 19 = 0. Suppose l*s - 130 = 2*s. Calculate the remainder when s is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34240031 (base 5) to base 12.\nAnswer: 128a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from {n: 1, e: 1, w: 2, a: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 88, 85, 82?\n\"Answer: -3*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**5*f*f*f*f\/f**(-3\/11)*f*f*(f**(-2\/9))**(2\/23) assuming f is positive.\nAnswer: f**(25624\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -d02845 (base 14) in base 5?\nAnswer: -3242430304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 106208, -2\/11, -4.88?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*w + 133*w - 140*w - 141*w.\nAnswer: -252*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4696 - 4696 + 811*a**2 + 14*a - 809*a**2.\nAnswer: 2*a**2 + 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f - 67. Let y be b(7). Suppose -4*c = 5*n - 19, -y*n - 13 = -8*n + 2*c. Solve -u + 14 = -3*x, -n*u = -u - 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:03 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*10\/(-5). Let j be -1 + -1 + (-12)\/l. Solve -3*m - 4 = j*u, -3*u + 4*m - 6 = m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002543832842 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49369 is divided by 509.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-16))\/(2\/(-6472)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, a: 9}. Give prob of picking 2 a.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -735, -360, 255, 1110?\n\"Answer: 120*c**2 + 15*c - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 8*l + l**2 - 4*l - 6. Let c be q(6). Suppose -4*a - c = -2*k + 54, 0 = -2*k + 3*a + 118. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*f - 28, -2*k - 5*f - 10 = 2. Let w be (0 + k)\/((-16)\/(-8)). Sort w, -7, 3 in descending order.\nAnswer: 3, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gauauugugaau. What is prob of sequence ga?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 46?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 + 26 - 48 - 2*c**3 + 20 to the form f*c**3 + x*c + d*c**2 + l and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 2\/(-4)*12. Suppose f*r = 1335 - 200. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 19 - 26. Let l = -15 - c. Put l, 0.1, -3 in ascending order.\nAnswer: l, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-111165)\/(-27792) + -4). Round g to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 4 (c) -2\/19 (d) 2 (e) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*b + 1750 - 1025 + 1084 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 - 301*o**2\/6 - 432*o + 1752.\nAnswer: -(o - 3)*(o + 12)*(o + 292)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 712.9511 meters?\nAnswer: 712951100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*a + 4. Calculate the remainder when 21 is divided by (-1)\/a - 63\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112 + 112 - 294*l.\nAnswer: -294*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373 = -70*h + 349 - 442 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7)\/d))\/d**(-2\/7)*(d\/(d\/(d*d**2))*d)**(-43))**(-14) assuming d is positive.\nAnswer: d**2278","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 121 = -23. Let m = 92 - j. Let p be 3\/9 + m\/(-60). What is the third biggest value in 5, -17, p?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 70, 108, 182, 304, 486?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1287 * -27.066.\nAnswer: 34833.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gayy when four letters picked without replacement from uuusyguayuugsuxuxgxg?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f + 23. Let t(v) = -20*v + 114. Let x(k) = -11*o(k) + 2*t(k). Let s be x(19). Suppose 9*c = -3 - s. Do c and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*f*y**3 + 463*f + 6*y**3 + 2*y wrt y?\nAnswer: -216*f*y + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 9:43 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5\/7, -12.8, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 433 - 108. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + ((-304)\/40)\/((-12)\/30)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(0 + -3) + 0. Suppose -r - 2*p + 15 = c, r + 3*p - 12 = 6. Calculate the remainder when r is divided by (-30)\/(-4) + 3\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91568709.2 - -0.8.\nAnswer: 91568710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(405) + 0).\nAnswer: -18*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 170?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - 3 - (1 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**3 + 2*z**3 + 3 - 3*z**4 - 3 + 29*z**2 - 29*z**2 - 16*z**4 + (3*z - 3*z + z**3)*(0*z - z + 2*z) + 3*z**4 + z**4 - 3*z**4.\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1082.680692 to the nearest integer.\nAnswer: -1083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(49)\/sqrt(7)*6 + -5 - (-3 + -4 + sqrt(7) - (sqrt(7) + 6*(sqrt(7) + 3 + sqrt(7)))))**2.\nAnswer: 1920*sqrt(7) + 16528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -26*p**2 - 40*p - 31. Let i be c(17). Let y = -3852 - i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**3\/3 + s**2 + s + 214. Give i(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2. Suppose 0*l = 4*l - 16. Let k(t) = -l*t + 5*t - 3*t. What is o(k(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2065, 4105, 6145, 8185?\nAnswer: 10225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1021\/2353 + -5\/181. Is b < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 30*m - 48. What are the prime factors of k(25)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39474766, -39474768, -39474770, -39474772, -39474774, -39474776?\n\"Answer: -2*h - 39474764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2859*y**3 + 1547*y**2 + 72018030.\nAnswer: -8577*y**2 + 3094*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**3 - 14*g**2 - 19*g - 18. Let m be k(-1). Let d be (-2)\/(-7) + (-4)\/14. Which is the closest to -4\/5? (a) d (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + 2*sqrt(475) + (sqrt(475) - (-1*sqrt(475) + sqrt(475) + -4)**2)) - ((6*(sqrt(475) + 0 + sqrt(475)) - (sqrt(475) + -1)*3)**2 + 0).\nAnswer: -38370 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9424 and 14136.\nAnswer: 28272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00738272 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138771 - -138768. Let h = 6947 + -21083\/3. Let i = -80 - h. What is the biggest value in -5, 7, i, u?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -196, -1 in ascending order.\nAnswer: -196, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(4455) + sqrt(4455) + sqrt(4455) + -2*sqrt(4455) + sqrt(4455))\/sqrt(5))**2.\nAnswer: 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/24*-3*20. What is the units digit of ((-54)\/(-7))\/((-10)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -4304?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*w**5 + 9410*w**2 - 19*w - 7614 wrt w?\nAnswer: -660*w**3 + 18820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 13) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/44 and -63\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -423?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 + 2*a - 4. Let p be u(-4). Suppose 5*o - 5*m = -3860, -p*o - 3*m - 2*m = 3070. Is ((-1)\/2)\/(7\/o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -454 (base 7) to base 9\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.19256 milligrams to nanograms.\nAnswer: 44192560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 19*y**2 + y. Let b be p(1). Let t be (8\/(-30))\/(b\/(-30)). Put 1, t, 0.1 in ascending order.\nAnswer: 0.1, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/7 + 418\/(-77). Let y be (-2607)\/d - -3*1\/6. Suppose -z + y - 28 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*s - 128 = 164*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31885109227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.102765, 11\/4, 35?\nAnswer: 0.102765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.28 and 0.3.\nAnswer: 1.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 24. Let c be w(-11). Suppose 2*t + 2*u + 4 = -c*u, -4*u = 5*t - 14. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 1364*a = 1361*a + 25, 21*a - 45 = -w + 145 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:22 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6740)\/(-160) - 1\/(-16)*-2. What is the greatest common divisor of b and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5))**15\/(((a\/(a\/a**(-7)))\/a)\/(a*a**15)) assuming a is positive.\nAnswer: a**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -2, 0.2, 5, -3, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 10*u + 24.\nAnswer: (u + 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (7 - 8) - -22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z - 24 - 100 = 0. Is -3 - (-1 + -1736 - -3) - z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:00 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3269270820 and 5340?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -466555, -466559, -466563, -466567, -466571, -466575?\n\"Answer: -4*u - 466551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38387662?\nAnswer: 2, 173, 110947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let h = -3.4 - u. Let t = 0.092 + -5.092. Which is the smallest value? (a) t (b) h (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/33)\/((-2)\/(-2))*((-1782)\/(-3))\/27?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**2 - 4. Let m(x) = 4. Let c(n) = -g(n) - m(n). Let o(w) = 4*w - 19. Determine o(c(r)).\nAnswer: -28*r**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2236333 is divided by 248480.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/168*1\/((-6)\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**3\/3 + 7*w**2\/2 - 9*w + 7. Let z be j(4). Solve 0 = -4*k + 20, z*k = 3*f + k + 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1063*u - 258309. Give i(243).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 15932*p**2 - 15816*p - 116 = 0. What is p?\nAnswer: -29\/3983, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224 + -222. Which is the second biggest value? (a) j (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1856 and 14906.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 760833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*m**4 + m**3 - 41*m**2 + m - 210690 with respect to m.\nAnswer: -552*m**3 + 3*m**2 - 82*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229863802?\nAnswer: 2, 7, 29, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -136.18572706 to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 1, h: 1}. Give prob of sequence zh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(44) - sqrt(11)).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l*l*l)**(-1\/33)*l*l\/(l\/(l*l*l**18*l*l))*l\/l**(3\/4) assuming l is positive.\nAnswer: l**(7129\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 42. Let j be y(13). Let t(f) = 2*f**3 - 33*f**2 + 16*f + 5. Let z be t(j). Solve z*u = 5*a - 10, 4*u + u + 2*a + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 6*q**2 + q**2)*(-175 + 19 - 456 + 88) to the form g*q**2 + m*q + i and give g.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllkylmzlklkjzz. Give prob of picking 1 y and 1 j.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -69, 12, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7. Let k(d) = -8*d - 48. Let m(u) = 8*b(u) - k(u). Let o(l) = -2*l. What is m(o(c))?\nAnswer: -16*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2198210.\nAnswer: 2, 5, 7, 31, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 - 3*d**4\/8 - 10*d**3\/3 - 13*d**2 + 5. Let u be h(11). Solve -7*m - 5*k = -u*m, 3*k + 8 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let c be h(4). Let q = c - 2. Let g(m) = m + m + m + q*m. Let s(x) = -2*x. Determine g(s(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 947*a - 946*a + 5, -5*a + 3*m - 25 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 27 = -5*l - 117, -3*d = l - 54. Let r = d + -16. Suppose 5*j - 96 = i - 17, 0 = 4*j - r*i - 68. Solve 7 = -2*c + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 + 25*c**2 + 248*c + 528 = 0.\nAnswer: -4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7437 + -6927. What is the remainder when 1582 is divided by k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729852 is divided by 3345.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/12 + 2*l**3\/3 - 3*l**2. Let x be k(6). Let c = x + -7. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8703\/20 - -435. Let n(m) = 2*m**3 - 8*m**2 - 8*m - 9. Let j be n(5). Which is the closest to j? (a) -2\/7 (b) 4\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*o + 65658 = -1220*o for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwfwffwwwwwffz. Give prob of picking 1 f, 1 z, and 2 w.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 498?\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 156576.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8869 times -4?\nAnswer: -35476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 + -171. Calculate the common denominator of 143\/48 and -7 - (520\/48 + j).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**3 + r**2 - r. Let f be l(1). Solve 0 = 6*n - f*n + 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.68 + 15.58. Which is the nearest to -0.5? (a) -0.2 (b) 1.16 (c) j (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**3 - 33*z**2 + 111*z - 1097. What are the prime factors of j(14)?\nAnswer: 23, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11110 + 123*f + 11110)*(-f + 0 + 0).\nAnswer: -123*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/58)\/(15 - 57\/4).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 61 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 32 - 22 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 105*h + 693. What is p(-7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -1, -11 in ascending order.\nAnswer: -11, -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -177344*p**2 + 652*p + 652. Let u(c) = -1627*c**2 + 6*c + 6. Calculate 3*t(w) - 326*u(w).\nAnswer: -1630*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -835 + 1055. Calculate the least common multiple of y and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7902803?\nAnswer: 19, 415937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000111000 (base 2) to base 4\nAnswer: -120320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222 and -2 - (-15)\/(-5) - (-33 - -4).\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2233816\/(-22308))\/47 - ((-42)\/(-14))\/(117\/2)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 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: Rearrange -4443*z + 15211*z + 4411*z to the form k + h*z and give h.\nAnswer: 15179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 685394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 + 5)*188\/752. Let r = -0.6 - -0.5. Let q = 0.9 + -1. What is the nearest to r in -1\/5, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/30944 and -61\/429.\nAnswer: 13274976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0472 + -0.01294.\nAnswer: -0.06014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-10))\/(-1)*-5. Suppose -t*d = -3*d + 1. Let k = 2 - d. Solve h = 2*h - k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -4 in ascending order.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7476208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1085, -1087, -1091, -1097, -1105, -1115, -1127?\nAnswer: -1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4*s. Let t be h(-5). Let w be 24\/(-40) + (-23)\/t. Suppose 5*o - 60 = -9*a + w*a, 0 = -4*a + 5*o + 3. Is 2 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - x**2 - 2*x - 1. Let t be v(-1). Suppose -1 = -t*g + 17. Is 26 a factor of (g\/9)\/((-10)\/(-1035))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*j + 846*j = 2408 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-30)*307375\/(-17213)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 105*(-3 + (-40)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*w + 29*f - 24*f, w + 4*f + 19 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 10*f + 6. Let i(s) = 3*s**2 + 4*s - 5. Let d(c) = -c**2 + 1. Let t(z) = 2*d(z) + i(z). Let w(m) = -2*b(m) - 5*t(m). Determine w(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 26 - (-79 - (-102 - 10)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 5*t + 10. Suppose 3*y = y - s - 18, 0 = -2*y + 2*s - 6. Give d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 1\/60*g**5 + 0*g**3 + 0*g + 0*g**4 - 3*g**2 + 0. Let w(k) = -5*k. Give r(w(c)).\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-130) - (-42)\/(-91))*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741.49514 milliseconds in days?\nAnswer: 0.00002015619375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6348 divided by -4?\nAnswer: -1587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**3 + u - 16. Let l(a) = 12*a**2 - 5. Let q(c) = 6*c**2 - 2. Let v(n) = 3*l(n) - 7*q(n). Determine 3*v(d) + 5*y(d).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126326 (base 7) to base 3.\nAnswer: -1012200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/225 and ((-3)\/2160*236)\/(-1).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 11*f**6\/120 + 13*f**4\/24 - 13*f**3\/6 - 25*f**2 + 9*f. Find the second derivative of x(u) wrt u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2350 = 3*n - n, -3*n + 5*j + 3527 = 0. What are the prime factors of n?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((28\/42)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 13583?\nAnswer: 13579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11233 and 846.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10195 - 137711 = -166*p. What is the highest common divisor of p and 243?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -1\/3 (c) -5749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1740 by -580.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + -2 - (-1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x - 41. Let f(t) = 5*t + 21. Let i(z) = 6*c(z) + 11*f(z). Let h be i(16). Is -2\/109 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 7 = 0. What is the highest common divisor of w and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/16*(-16 - 560\/150 - -20)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112064 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1452 by -6.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + sqrt(4)\/sqrt(2) + -2 + ((sqrt(64)\/sqrt(4) + sqrt(16))\/sqrt(8) + 2)*-1)**2.\nAnswer: 12*sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a5 (base 11) to base 2.\nAnswer: -11100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 14*f = -34597. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351, -698, -1045, -1392, -1739, -2086?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 2 = 0. Let w = 2 - x. What is the biggest value in w, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -251*a + 103. What are the prime factors of p(-8)?\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 259\/2 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51473 divided by 3.\nAnswer: 51473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 109 = -37. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/(-39) - (0 + (6 - 0)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21*x - 1. Let p be l(5). Calculate the smallest common multiple of 4\/((-2)\/3 + (-105)\/(-90)) and p\/(-7) - (-2)\/(-14).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 3*m**2 + 3*m. Determine z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-3*sqrt(102))\/((sqrt(168)\/sqrt(4))\/sqrt(7)))**2 + 3 + -2 + 1*sqrt(17) + 5.\nAnswer: sqrt(17) + 5514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + b + 39 = 0, b + 350 = 306 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127370212 + -201520212. Round s to the nearest 1000000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 9:43 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacazaagaucac. Give prob of sequence gac.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19166, -38350, -57538, -76730, -95926?\nAnswer: -115126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - 2*g**4 + 7*g + 0*g**4 - 16*g**2 - 4 - 8*g + 13*g**2 to the form h + d*g + f*g**3 + r*g**4 + q*g**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/29809538 and 65\/22.\nAnswer: 29809538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25328\/17 - 1490. Which is the second biggest value? (a) -1 (b) 42 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-4)*4*-2*(-4)\/(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2, -2*k - 2*k - 2*o + 17442464 = 0. Suppose 1789385 = 5*r - k. Round r to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146502, 146431, 146360?\nAnswer: 146289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10, k: 1, t: 7, a: 1}. Give prob of picking 2 q.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1724 or -1730?\nAnswer: -1724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77609 and 243914?\nAnswer: 1707398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6784646969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 85568, 171118, 256670, 342224, 427780, 513338, 598898?\n\"Answer: w**2 + 85547*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/18 + 3 - 8\/117?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -16 + (2 - -36)*(-20)\/(-12 - -22)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -122d3 + 2?\nAnswer: -122d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 328990620 divided by 681140.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(153) + -3*sqrt(153)) - sqrt(153) - (-4 + 3 + sqrt(153) + sqrt(153)))**2 + 0)*-6.\nAnswer: -22956 + 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*u - 42 = -184*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6594309?\nAnswer: 3, 73, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 4*h - 1. Let x(c) = -c - 6. Let s be x(-4). Let l be a(s). Solve 2*w - 3*f + 0*f = -1, -5*w - 5*f = l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((1 - 15 - -25) + 36 - -9) - -12?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((11 - 19) + 13 + 7) - 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - 18*a + 32 = 0. Let q be 201812\/a - ((-30)\/8)\/5. Let i be 2\/3 - 11\/(231\/q). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292)*1*3 + sqrt(6292))\/(sqrt(324) - -2*sqrt(324) - (sqrt(20)\/sqrt(5) + sqrt(4))*5) + -2)*6.\nAnswer: -12 + 264*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7947408 and 4116.\nAnswer: 55631856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -9\/29, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46061733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - u + 2237, -l - 3*u = 2*u - 1096. List the prime factors of l.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 222720.11736 to the nearest one hundred.\nAnswer: 222700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9*(-6)\/(-21))\/((-12)\/(-42)). Let i(c) = 4*c - 3. Let l(h) = 16*h - 13. Determine q*i(u) - 2*l(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36446*f - 18233*f - 18268*f - 3190 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2538186 and -27920062\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*v**4*y + v**3 - v**2*y - 98*v**2 + 27*v*y - 48*v - y wrt v.\nAnswer: -60*v**2*y + 6*v - 2*y - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -72*253\/(-22) - 15?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1358\/(-7469)*(213 + -4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 105898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1837*r. Let a(l) = -3*l - 18. Give a(v(k)).\nAnswer: -5511*k - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*w**3 - 6*w**3 - 6*w**3 + 45*w - 25*w**5 wrt w?\nAnswer: -500*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1\/4, -49438\/81?\nAnswer: -49438\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0. Let u = 79 + -51. Let d = 27 - u. What is the closest to d in 1, -1\/9, s?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274802240 to the power of 1\/2, to the nearest integer?\nAnswer: 57226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*u + 10*u - 60*u - 32*u.\nAnswer: -104*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -438, -421, -406, -393, -382, -373?\n\"Answer: -z**2 + 20*z - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/7 + 804\/28?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 2. Let l = f + 11. Sort l, -3, 1 in decreasing order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 6*b**2 + 2*b**3 + 2*b - 1 + b**4 + 5*b**2 in the form t*b + j*b**2 + x*b**3 + g*b**4 + u and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.085969 litres to millilitres.\nAnswer: 85.969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(60\/65))\/(-2*4\/48)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(18\/((-99)\/(-11))*3\/(-52)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -44. Suppose z*v - 8*v = -18. Let r(j) = 2*j**2 + 34*j - 33. Let t be r(-18). Solve -2*k = -u - v, t*k + u = 3 - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -102\/5, 9.2, -172 in descending order.\nAnswer: 9.2, -102\/5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -1453*x + 39225. Calculate n(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -27 and -190\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**5*q\/q**2)**(-1\/7)\/(q**(1\/3)*q\/(q**(1\/6)\/q))**47 assuming q is positive.\nAnswer: q**(-4247\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 3:25 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-2)\/2)\/(-1). Let l(g) = g + n*g - 3 + 3 + 3. Let c be l(-2). Put 3, c, 4 in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -402, -0.3, 2, 3, 6.5?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n**2 - 10*n - 2. Let d(l) = 5*l**2 - 8*l - 3. Let f(c) = -7*d(c) + 6*t(c). Let g be f(5). Solve -2*r = 4, 2*y - 2*r + g = -5*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.5 + 43.3. Is r greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 1. Let y be 12\/9*-3 + 1. Let k be t(y). Suppose 2*o = -k*o + 4. Is -1\/4 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6705060.\nAnswer: 2, 3, 5, 111751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 3603. Let x(w) = 2*w**2. Give x(k(f)).\nAnswer: 2*f**2 + 14412*f + 25963218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 25, -5*k + 6 + 30 = 2*j - 44 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*v + 0 + 0 + 93*v - 3.\nAnswer: 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 10*o - 115. Let r be m(8). Suppose 2*x - 173 = 349. Calculate the highest common divisor of x and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11025 - 11016. Let i(v) = -v - 44. Let f(k) = 5*k + 175. Give j*i(y) + 2*f(y).\nAnswer: y - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 466519992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1211 + 1705. Let d = s - 315. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (5 + -7 + 3 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 109.\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w + 5. Let t(l) = -27*l + 12. Let n be -1 + 115\/10 + 9\/6. What is n*s(p) - 5*t(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196279966, 1\/6, -6 in ascending order.\nAnswer: -6, 1\/6, 196279966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22410 (base 8) in base 12?\nAnswer: 55a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2. Let z(r) be the third derivative of -2*r**2 + 1\/60*r**5 + 0*r + 0 + 0*r**4 + 0*r**3. Calculate z(v(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2 + 14*c - 2234. Is 104 a factor of q(77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 2*c - 2*c + 4*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232531 - 113270. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.68 + -49.78. Let y = x + 44. Let i(h) = 3*h + 2. Let q be i(-2). Put y, q, 0 in descending order.\nAnswer: 0, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1937 + 775 = 3*s. Calculate the smallest common multiple of 24 and s.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405517611 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4998239151?\nAnswer: 3, 31, 53744507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*x + 924. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-125) - (-405)\/(-375). Let y = 8\/21 - 5\/7. Let b = -3\/8 + 1\/8. What is the third smallest value in j, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/58469, -2912, 2, 4?\nAnswer: -1\/58469","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34626 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 6:08 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*k + 1 = -13, 4*k - 17 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*3*1. Let n be (0 - (-1 + 3)) + c. Suppose -8*f + f = 35. Put -4, f, n in decreasing order.\nAnswer: n, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 402315. Let h = 120589 - u. Suppose 4*x - 331997 = j, 125871 = 2*x - j - h. Round x to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-442)*4732\/130?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1\/109 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19236\/13 in -0.05, 0.3, 6, 2\/7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 545118 divided by -272559\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1225)*2*6 + -2*sqrt(1225)*1)\/(4*sqrt(112) + sqrt(28)*4).\nAnswer: 25*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*q + 146*q = -184*q + 1045 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -118199, -236397, -354595?\n\"Answer: -118198*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -2. Let r = 0.11 + -0.41. What is the second smallest value in r, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145\/56 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -332498 take away -0.5?\nAnswer: -332497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = c - 21, -2*c - 62 = -6*c + 3*x. Suppose -6*p + 2*p - 3*v + c = 0, -2*p + 6 = 2*v. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -150, -5, 1, -10 in descending order.\nAnswer: 1, -1, -5, -10, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 + 250*z**2 - 1508*z + 150. What is c(43)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 70*h**2 + 35*h - 23. Calculate the remainder when n(-32) is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 917 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 62*t**2 + 4*t + 5. Let w = 347 - 260. Let u = w - 25. What is the remainder when r(-2) is divided by u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = 4*s. Suppose s = 4*v - 3*u + 7*u + 24, 5*v + 18 = -2*u. Is -2 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(5 - 5 - 2*c)*(5 + 4 - 5).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365a (base 13) to base 7.\nAnswer: 31251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 7713\/3 + 3. Suppose -6*r + r = -s. Suppose -r = t + 4*t. Round t to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/9 + 95636*o**3\/9 + 381571270*o**2\/3 + 34258165864*o\/9 + 33113547688\/9 = 0. Calculate o.\nAnswer: -23894, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2621, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/12 + p**3\/2 + 2*p**2 + p. Let a be q(4). Is a bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + k**2 + 2*k**2)*(360 + 630 - 90)*(-3*k**2 - 4*k**2 + k**2) in the form q*k**2 + g*k + m*k**3 + u + z*k**4 and give z.\nAnswer: -10800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 42*z = -283*z - 193*z + 8993 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 25. Is -16 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*h*y**2 - 1856935*h + 65803*y**2 + 2*y + 2 wrt y?\nAnswer: 18*h*y + 131606*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = -5. Suppose -6 = m*r - 7*r. What is the remainder when 22 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1542 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134499934.\nAnswer: 2, 67249967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 5492*g + 83280 = 0. Calculate g.\nAnswer: -1388, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, -8, -4, 0, 4, 8?\n\"Answer: 4*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-6 - (-216)\/40) - 3. Put -5, c, -56 in descending order.\nAnswer: c, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44470339 to the power of 1\/2, to the nearest integer?\nAnswer: 6669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**3 - 21002183*z**2 - 110272849183695*z + 771910973393175 = 0?\nAnswer: -10501095, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70519, -70458, -70373, -70258, -70107, -69914?\nAnswer: -69673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6772 + 22.863.\nAnswer: 22.1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -3, 2\/2979, 0.52 in increasing order.\nAnswer: -3, 2\/2979, 1\/12, 0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-3\/14)\/c)))\/(c**(-4\/9)*c) assuming c is positive.\nAnswer: c**(-223\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1782 and 97\/8.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520820535?\nAnswer: 3, 5, 79, 439511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940831815 is divided by 356.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (22\/264 + (-121)\/12). Solve 0 = -94*j + 90*j - b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2502 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 2. Let u be y(2). Suppose 3*n + 6 = 3*d, 7*n - d = u*n - 2. Suppose n = 7*v - 2*v - 630. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2206 + 796*o**2 - 975*o**2 + 2206. Let y(p) = 5*p. What is c(y(z))?\nAnswer: -4475*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*a**2 + 199 - 783 + 4*a**2 + a**3.\nAnswer: a**3 + 37*a**2 - 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**3*r**2 - 10*h**3 - 333*h*r**2 + 3*h*r - r**2 + 3*r - 1 wrt r?\nAnswer: -8*h**3 - 666*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48 - -0.185204.\nAnswer: 48.185204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5\/6)\/y)\/(y**(2\/11)\/y)*y*y**(1\/9)*y*y**(1\/2)\/y)\/((y**(-9)*y*y*y**(-2\/3)\/y)\/(y**8\/y**(1\/5))) assuming y is positive.\nAnswer: y**(8446\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/18))**(-19))**34 assuming y is positive.\nAnswer: y**(-6137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 376 - 149. Let n = -232 + l. Put n, -0.5, -20 in increasing order.\nAnswer: -20, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 - 2 = 0. Let i = 6 - s. Suppose -5*q - 3*k = -i*k - 195, 90 = 3*q + 3*k. Find the common denominator of q and -25\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26018, -51834, -77650, -103466, -129282?\nAnswer: -155098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -46, -96, -174, -286, -438?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (51 - 21)) + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1507400 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 + a. Let r be p(-2). Let j = r - 3. Solve -3*f = -2 - j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*p, 0 = -s + p - 4 - 2. Let g(c) = c**3 + c**2. Let u(t) = -2806*t**2 + 2810*t**2 - t**3 + 4*t**3. Give s*u(n) + 2*g(n).\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + o + 25. Calculate the common denominator of 244\/340 - 2\/o and 0 + 25 + -26 - ((-1 - -3) + -40).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 18*o**2 + 14*o - 35. What is the remainder when 28 is divided by u(-17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 at most 1199094\/2519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610*s = -3582*s + 35 - 175 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -16179*t**3 + 4*t**2 - 6*t - 5. List the prime factors of a(-1).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10992480\/13 and 845574 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l - 4. Let j(s) = 3 - s**2 + s**3 - 2*s + 7*s**2 + 2*s**l. Calculate the remainder when j(-8) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/(-3))*1068\/18. Let b = 103 + a. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*h**5 + 88*h**4 + 4259*h**3 + 9114*h**2 + 5848*h + 896 = 0. What is h?\nAnswer: -16, -1, -2\/9, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5184.26 nanograms to kilograms.\nAnswer: 0.00000000518426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.52 - -3.5353. Let n = -0.0108 - y. Round n to three decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3*j**3 + 1301*b**3*j**2 + 1005*b*j**2 + 3*j**3 wrt b.\nAnswer: 6*b*j**3 + 7806*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*u - 27 wrt u.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665540 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 50, 29, 6, -19, -46?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 570, 2247, 5042, 8955, 13986, 20135, 27402?\n\"Answer: 559*j**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*w**3 - 180*w**2 - 506*w**2 + 422*w**3 + 93*w**2 + 25*w**2 wrt w?\nAnswer: 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1063 + 632553?\nAnswer: 633646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 2*l**4 - l - 1 + 3 - 2*l**3 + 0 in the form p*l**2 + j*l**3 + t*l + q + n*l**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2. Let a(s) = -27*s. Let i(h) = -135*h. Let j(t) = -24*a(t) + 5*i(t). Calculate v(j(k)).\nAnswer: 2187*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a + n + 3*n, 3*n + 5 = 2*a. Let l(w) = -w**3 + 4*w**2 + 5*w - 6. What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8789772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Suppose -4*o + 125 = p - g*p, 4 = -2*o. Let i = p + -663\/5. Which is the closest to 0.1? (a) 5 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -4*q + 28, 2*q + 66*i = 48*i - i + 84 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1, -0.19, -2\/7 in decreasing order.\nAnswer: -0.19, -2\/7, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112697442 and 6435.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 1, 0.3, -9897?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 - (3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:52 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**7\/105 + 181*i**5\/60 - 2123*i**3\/6 + 3*i**2 + 169*i. What is the derivative of p(c) wrt c?\nAnswer: 8*c**3 + 362*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 6. Let z be y(12). Let l be 38*(15\/z)\/5. Let v = l - 19. Solve -f = -v*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*r**2 - 6*r**2 + 28*r**2 in the form k*r + f*r**2 + v and give f.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 728 = 327. Let q(g) = -185*g + a*g - 2 + 3 - 1. Let l(z) be the first derivative of -z**2\/2 + 3. Give q(l(r)).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.23019 times 0.1\nAnswer: 0.623019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d + 446. Calculate l(-10).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -3. Let k = -18 - -18. Solve k*d + 2*d = z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -2\/5, 2, 13 in decreasing order.\nAnswer: 13, 6, 2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002802 rounded to five dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -16 + 61 + (-1 + 0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195\/4 + -733\/36. Let y = -602\/9 - w. Calculate the common denominator of -29\/12 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {v: 2, r: 9}?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*f*p**2 - 2*f*p + 12947*p**2 + 68580*p wrt p.\nAnswer: 16*f + 25894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + y**2. What is f(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = 0, 0 = -t - 3*b + 7 - 2. Find d, given that 4*d**3 + 41*d - 32*d - d**3 + 3*d**4 - 14*d**2 - d**t = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3981*o**3 + 15629*o wrt o?\nAnswer: 23886*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*k = 72*k - 36 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/(-12) + -2 - 7112\/(-12). Suppose 2*n + 3*i = 1168, 3*i + c = -8*n + 9*n. What are the prime factors of n?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*s = -83*s - 9510. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 245*f + 139. Let y be x(-5). Let p = y + 1655. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjppp. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1085036 and 99?\nAnswer: 107418564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/16, -6, -19\/22, 0.1 in descending order.\nAnswer: 0.1, -1\/16, -19\/22, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -3\/50*c**5 + 1\/2*c**2 + 1\/300*c**6 - 9\/5*c**3 + 0*c + 3 + 9\/20*c**4. Let o(h) be the second derivative of u(h). Factor o(j).\nAnswer: 2*(j - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 + (-1)\/3. Suppose z - 1060 = -5*w, 0 = -w + 5*z + 234 - 48. Suppose i - w = -o*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (109\/((-981)\/54))\/((-1)\/(5\/((-30)\/(-56)))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1739327 bigger than -1739324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 27 (b) 7 (c) -0.225 (d) 5 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14e2 (base 15) to base 7\nAnswer: -16040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*a - z = 168*a + 25, -2*z + 26 = -2*a + 44 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/13 - 4574*d**4\/13 + 232640*d**3 - 34444800*d**2 = 0. What is d?\nAnswer: 0, 207, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 211659 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/((s\/s**(-2\/3))\/s)*s**(-16) assuming s is positive.\nAnswer: s**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 134, 1\/4, -4\/5, 1.\nAnswer: -4\/5, 0, 1\/4, 1, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 12*f**2 - 23*f**2 + 3*f**3 + 10*f**2 + 0 + 1 as g*f**3 + k*f**2 + b*f + c and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - -0.19. Let g(w) = -28*w**2 - 190*w + 40. Let i be g(-7). Which is the closest to i? (a) 0 (b) r (c) 0.03 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -3*g**6\/40 + g**5\/4 + 3*g**4\/4 - 4*g**3 + 5*g**2 - 8. Factor s(f).\nAnswer: -3*(f - 2)*(f - 1)*(3*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 + 5 = 0. Let w be 7\/9 - l\/9. Let x = w - -11. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -1, 1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2597 is divided by 647.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 4*a - 4*a)*(3 - 6 - 3).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o - 6*o**2 - o - 5 - o**3 - 10 + 3. Let t be y(-5). Suppose t*g + 566 = 5*b + 75, -5*b - 5*g + 475 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**3 - 2*u**2 + 3*u - 2*u + 13*u**3 + 20*u**3 to the form f + n*u + h*u**3 + s*u**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**4\/7 + 11808*v**3\/7 - 17428608*v**2\/7 + 11433166848*v\/7 - 2812559044608\/7 = 0.\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from hhhxrrrrrhrrrhhhrrh?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100110 (base 2) to base 14.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10743 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(203\/(-4466))*5.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -1 + (-1 - 0). Let h(s) = -6*s**3 + 485*s**2 - 411*s + 965. Let m be h(80). What is the highest common divisor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2810, -5635, -8542, -11573, -14770, -18175, -21830?\n\"Answer: -7*k**3 + k**2 - 2779*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 24*b - 53. Calculate u(11).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 33*q + 51. Calculate w(-36).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 41*j**2 + 1. Let y be l(-41). Suppose -3 - 9 = -3*s. Solve -s = -p - y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 839560 divided by 5.\nAnswer: 167912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37.3 - -37. Let x = 202 + -601\/3. Put x, i, 0 in decreasing order.\nAnswer: x, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let p be (2 + 2)\/(2 - 3). Let z = p + 7. Let b(i) = 3*i - i**2 - z*i. What is b(k(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 1:28 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + 9 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:03 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 3*j**2 + j**2)*(-10 + 3*j**3 + 10 + (-j - 2*j + 5*j)*(0*j**2 - j**2 - j**2) - j**3 + 101*j**2 - 101*j**2 - 2*j**3 - 3*j**3 + 3*j**3).\nAnswer: -20*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((-13)\/((-26)\/4)). Suppose v = 2*a + 407 - 1367. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 383.0656 litres?\nAnswer: 383065.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183075871.\nAnswer: 11, 1069, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - 3)*(-1 - 1\/5). Let v(x) = x**2 - 10*x - 22. Let t be v(c). Let m(w) = -2*w**t - 5*w**2 - w**2 + 6*w**2. Let j(p) = 18*p. What is m(j(q))?\nAnswer: -648*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(2299)*-1)**2 + 2 + sqrt(57)\/sqrt(3) + (sqrt(2736) + 0 + sqrt(2736) + (sqrt(2299) - (-2 + sqrt(2299))))**2).\nAnswer: -26488 - 194*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 984657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 27 = -7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:44 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2090 - 2083) + 2 + 0 + -1 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196.7 and 195.4.\nAnswer: 38435.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.0612, 2\/5, -552?\nAnswer: 1.0612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 10*v + 3. Determine c(13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 5*w + 11. Is x(12) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -1109.7?\nAnswer: -998.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10513955 - 7286596. Let k = 1423798 - z. Let c = k + -5796439. Round c to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -21. Suppose 4*b = -1 + x. What is the smallest common multiple of b and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256639 or -256640?\nAnswer: -256640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i - 49*i = -40. Let o = 55 + -25. What is the greatest common divisor of i and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-5) + 1186\/(-5). Let a = -235 - b. Let p(g) = -2*g**3 - 9*g**2 - 4*g + 4. Let s be p(-4). What is the greatest common factor of s and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277\/4 + 655\/8. Find the common denominator of -79\/38 and x.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 92*x + 23275. What is d(-254)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72027756 plus 2?\nAnswer: 72027758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2717, 2762, 2807, 2852, 2897?\n\"Answer: 45*y + 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 12 + 4 + 8 - 5*b**3.\nAnswer: -5*b**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*c + 7160 = 8*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y + 99. Suppose -5*i + 0*i - 60 = 5*o, 24 = -2*i + 5*o. Let f be m(i). Solve -g - f*g = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3 + l**2 - 3*l - 4. Let a be c(-1). What is the second smallest value in 3\/14, a, -0.06, 0.1, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1983*d**3 + 133*d - 289*d - 1962*d**3 + 156*d.\nAnswer: -3945*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 321 - 312. Let n(j) = 37*j**3 - 29*j - x*j**2 + 18*j - 36*j**3 - 5. Let o = -9 + 19. Calculate n(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/216 - 2\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046767 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 29 - 2)*(0*q**4 + 0*q**4 + 3*q**4).\nAnswer: -318*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4408669 > -8817339\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 388 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 1, c: 1, a: 4, f: 2}. Give prob of sequence hdf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - (11 + 0 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4221 (base 6) in base 14?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2469 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from adaaadweddaadwiaidau.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 - 8 = 0. Suppose -2*q + c = -3. Suppose q*j - 8 = -2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272411 plus -0.4?\nAnswer: 272410.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -81?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 2*o - 171. Calculate s(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -23437*(-25)\/(-100)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from {e: 5, s: 2, x: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -5. Let r = 12 - l. Solve 0 = 5*s + 5*w - r, -3*s + w + 17 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 8:11 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-3))\/(6\/12))\/2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, p: 3, a: 2, o: 3, v: 5}. Give prob of picking 1 j and 2 v.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*(-15957)\/4050 - 124.\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-18))\/((-140)\/84)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79*s + 5 - 2 - 2*s**2 - 3 - 58*s - 1 to the form j*s + d + b*s**2 and give j.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 8:36 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5482 + -1546. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86191)\/(-12313)*(-38)\/(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 7. Let j be o(-3). Let k = j + 16. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1138828837 and -58421.\nAnswer: 1138770416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 11*i**2 - i - 51. Let q be l(-12). Suppose -5*y = c - q, y - 171 = -2*c + 4*y. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k - 2*k**3 + 0*k)*((2 - 3*k - 2)*(0 - 4 - 2) + 0*k - 5*k + 0*k)*(-1 + 0 - 7).\nAnswer: 208*k**4 + 312*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 104. Let g = a + -36. Let m = 25.00034 - g. Round m to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171 (base 8) to base 5.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 2*q**3 + 1660*q + 16 - 1660*q + (-2*q + 4*q + 0*q)*(2*q**2 + q**2 - 2*q**2).\nAnswer: 4*q**3 + q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*h - 28*h - 2 - 27*h.\nAnswer: 40*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/13 (b) -1\/5 (c) -162 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3879871 rounded to the nearest 1000?\nAnswer: 3880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2142 - -327725\/153. Let a = u - -103\/153. Does 2 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25082031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5797500 rounded to the nearest 10000?\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/4 in -1.4, -1, 2\/41, -0.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -45*z**3 - 6*z**2 + 16*z + 5. Let g(d) = -d**2 - d + 1. Let c(m) = 5*g(m) - y(m). Find the third derivative of c(f) wrt f.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t + 7. Let z = 776 - 778. Give n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - l + l**2 - 3*l**2 + l**2 + l**2 + (l - 2 + 2)*(-1 + 2*l + 1) + l**2 + 0 + 0 + 59*l - 16*l**2 - 59*l - 4*l + 4*l - l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 24fef1?\nAnswer: 24feed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/2787, -1, 5, -5 in increasing order.\nAnswer: -8, -5, -1, 2\/2787, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(684) - (-1*sqrt(684) + sqrt(684))*-2 - (2*sqrt(684) + sqrt(684) + sqrt(684))*-5) + (-1 + sqrt(684))*2*1)**2 + -3.\nAnswer: 276*sqrt(19) + 361834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 3 - 3)*(-22*u - 3*u + 9*u)*((2 + 3 - 4)*(5*u + 0*u - 4*u) - 3*u + 5*u - 2 + 4).\nAnswer: -48*u**3 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 75*o + 372. Let g(p) = 7*p. What is h(g(u))?\nAnswer: 525*u + 372","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 402*z - 12 = 404*z, 2*i + 5*z + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49797 rounded to 2 dps?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -34. Sort -4\/7, u, 1\/9, -0.2 in descending order.\nAnswer: 1\/9, -0.2, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)\/m**9)**(-2\/7)*(m**(-2)\/m)**(-37)\/(m**3\/m**6) assuming m is positive.\nAnswer: m**(4078\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -833 * 1.4\nAnswer: -1166.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302009\/3 or -100669?\nAnswer: -302009\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/141*42\/56.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9779 and 401170.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -183*i - 3445. Give u(-18).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*f + 3*f + 426 = 0, 339 = 4*l - 3*f. Suppose -19 + l = h - 2*k, 5*k + 134 = 2*h. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/9, -3, -500, 3, -7\/26?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59986*n**6 - 152*n**2 - 37*n - 1.\nAnswer: -7198320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.090792827 + -4082.157502827. Let q = y - -4079.41671119. Let w = 2.65 + q. Round w to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 9 = 3*y + 9, -5*b + 4*y - 109 = 0. Let j = b + 15. Let i(w) = -w - 13. Let v be i(-6). Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(66)*-3)\/sqrt(6) + sqrt(55)\/sqrt(5)*5.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/73)*w**(-9) assuming w is positive.\nAnswer: w**(-655\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-2\/9)\/x*x))\/(x**(2\/17)\/x*x) assuming x is positive.\nAnswer: x**(169\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3)\/n)\/(n**(-4)\/n*n*n))\/(n*n**(2\/7))**20*((n\/(n**(2\/11)*n))\/n**(1\/2))\/(n**(2\/7)\/n)**(-2\/15) assuming n is positive.\nAnswer: n**(-11623\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g + 300. Suppose -3*s - g = -205. Suppose -s + 185 = 4*b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2943*b - 135094 + 84158 - 56875 - 239463 for b.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29845824.\nAnswer: 2, 3, 359, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(-3 - (-76)\/20). Let s be 248 - (31\/11 - p\/(-22)). What is the second derivative of 269*j - 26*j**2 - 5*j**2 - s*j wrt j?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (38\/6)\/((-1)\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 9*k**2 - 9*k + 13. Let g be n(-10). Let d be (-2)\/g + 44\/12. Suppose -5*h + 4*h = -d*h. What is h rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l - 5 = -f, -4*l - 7 = -f. Let b = 95 - 45. What is the units digit of b\/6 + l\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**6\/21 - 4*d**5\/7 + 13*d**4\/14 + 40*d**3\/7 + 36*d**2\/7 + 134. Find w, given that p(w) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r + 24*r - 1952 = 0. Solve r*o - 29*o + 12 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.032426\nAnswer: -0.016213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/105566208 and 19\/1760?\nAnswer: 527831040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 - 4.94. Let i = -0.010845 - 0.489155. Which is the nearest to i? (a) x (b) 2\/11 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-8) + 17\/(-136). Suppose -2*t - l = 2*l - 148, l + 2 = c. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*g**3 + 11*g**3 + 3*g - 3*g.\nAnswer: -101*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -281 + 4?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116388 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1625)\/39)\/(-25) - (69\/(-9))\/(-1)) + 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s**2 + 47*s**2 - 140*s**2 + 7*s**2 + 4 + 1 + 49*s**2.\nAnswer: 5*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 54532.15 nanograms?\nAnswer: 0.05453215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 802431 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (s + s - 3*s)*(181 + 7*s + 2*s - 184) as c*s**2 + l*s + v and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -5)*(4\/(-5))\/(-1). Solve 0 = 4*b + z*q + 4 + 20, -b - 2*q = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417942 is divided by 208963.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, s: 1, t: 1, n: 1, p: 2}. What is prob of sequence ntp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 51844. Let v(p) = 26*p. Determine x(v(r)).\nAnswer: 52*r - 51844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -24.712 times -0.5\nAnswer: 12.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**2*u + 3*p**2 + 89*p*u**2 + 23*p wrt u?\nAnswer: -2*p**2 + 178*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - n + 3*n = -102, 4*n = d + 16. Let r = -12 - d. Solve 2*l + 2*l - r = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51e4a9 (base 15) to base 14\nAnswer: -735a81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (11 + -6 + 3)) + 27 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2478 and 14192745.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1621 - 151 = 0. Let l = -240 + h. Solve 7*v = l*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-1 - (4 + -2 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875660538 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -203 divided by -2\nAnswer: 203\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384466678?\nAnswer: 2, 97, 1981787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 times -0.2?\nAnswer: -112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -13, -20, -27?\n\"Answer: -7*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*k - 49*k - 22*k - 49*k + 189*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 437238663 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 94*q - 99 + 103 = -2*c + 539, -2*c + q = -21 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534462 is divided by 38361?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 880511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.166782263 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a + 4. Suppose -4*p - 22 = -3*i - 2*p, -a*i - 3*p + 1 = 0. Solve -i*c + 28 = 5*j, -2*c - 4*j + 18 = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, a: 3, u: 3, r: 5, f: 1}. Give prob of sequence ru.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 - -0.33. Let c be 6\/12 - 85\/130. What is the second smallest value in z, c, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*48\/(-30). Suppose -3*x + 195 = -f + 4*f, w*f - 3*x - 232 = 0. Let i = 136 - f. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-7 + -13)) + (0 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 7*z + 5. Let f be o(6). Let w(v) = -26*v**3 - 25*v**3 - 9 + 3*v + f + 2*v**2. What is the remainder when w(-1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.311 and -26153.\nAnswer: -321969.583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -86*r - 7. Let o(z) = 163*z + 13. Determine 13*g(w) + 6*o(w).\nAnswer: -140*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -4777, -2 in increasing order.\nAnswer: -4777, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + p**4 - p**4 + (-2*p**3 - 9*p**3 - 3*p**3)*(60*p + 42*p - 122*p) as s*p**4 + c + y*p**2 + o*p + q*p**3 and give s.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*((3 - 2 - 3)*(0 + 1 - 2)*(35*q + 23 - 23) + (-2*q + 0*q + q)*(81 + 91 - 63)).\nAnswer: 39*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.09, 2\/19389, 0.4, 5, -2, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -84562, -169164, -253766, -338368?\n\"Answer: -84602*r + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -44 (b) 1632 (c) 3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 54 = -4*f, -2*f = -3*j + 75. Solve -u - a = 2, -32 = -5*a - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17420\/25 - 99\/55. Solve -r*v = -676*v - 114 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -141*m**2 + 8*m - 1. Let l(u) be the second derivative of u**3\/6 - 192*u - 11. Determine l(a(v)).\nAnswer: -141*v**2 + 8*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4640)\/(-248)*(-12)\/(-30). Which is smaller: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -325, -321, -317, -313, -309?\n\"Answer: 4*v - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9743071.\nAnswer: 13, 749467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 916 - 783. What is the remainder when 271 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-14)\/35)\/((-4)\/(-1300)))\/(6\/(-1810800)). What is k rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.5 (b) -2\/5 (c) 4 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h + 5. List the prime factors of i(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 - 93*s - 2*s**2 - 22 + 81*s. What is the lowest common multiple of u(9) and 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = u - 198 + 63, -10*s - 5*u - 305 = 0 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 5*c**2)*(32*c**2 + 39*c**2 - 40*c**2)*(-2*c + 0*c + c).\nAnswer: 155*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*k + 9, 4*k - 2*w - 15 = -3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 1 + -154 + 158.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3999288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -9) + (1 - -9) + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 57926, 57943, 57960, 57971, 57970, 57951, 57908, 57835?\n\"Answer: -b**3 + 6*b**2 + 6*b + 57915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-6 - -5) + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.575 - -1.2. Let d = -25.725 + l. Let h = d - -24.983. Round h to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.23 - 6.233139. What is c rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 570 times -915\nAnswer: -521550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let x(c) = 0*c + 3 - c - c**2 - 9. Let a(g) = 5*p(g) + x(g). Let k(b) be the first derivative of a(b). Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/13))*q\/q**(-2))**(-27))**(-10) assuming q is positive.\nAnswer: q**(11070\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3) + 0 + 0)*4)**2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 9*n + 13. Is i(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i**2 + 12*i**2 + 33*i**3 + 1 + 6*i**2 - 2*i as j + t*i + m*i**2 + h*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 2*j**2 + 2*j + 29. Let t be q(0). Calculate the greatest common divisor of t and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/33 - 13\/33. Which is the second biggest value? (a) g (b) 0.3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9832 - 6288. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -32 + 24*x + 1\/14*x**3 - 1\/28*x**4 + 3\/7*x**2. Let k(z) be the first derivative of h(z). Factor k(j).\nAnswer: -3*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 95 - 4*u + 3*u + 20.\nAnswer: -3*u - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -4. Solve -5*v + 20 = 5*x - a*x, 5*x + 10 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 332.05 - 332. Let w = 0.045 - 3.045. Which is the closest to 0? (a) w (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 12:04 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157 = 83*y - 76*y - 19*j, 2*y + 5 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhfhhhffh. What is prob of picking 2 h?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1705 - -1729. Solve y*b - 33*b - 45 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 22*s - 29*s. Let l = s + 21. Which is the smallest value? (a) 2\/7 (b) 2\/3 (c) l (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216326579 and 15078.\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82622072.499819 - -82622111. Let g = 85.5 - 124. Let u = c + g. What is u rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 101?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.8 - 17. Let x = -18 + 59. Let n = x - 30. What is the nearest to r in n, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/60)\/((-3)\/(-96)). Let -8\/3 - 10\/3*n**2 + 2\/3*n**3 + t*n = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 39*u**2 + 44*u - 159. Calculate the least common multiple of 1 and a(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 585\/(-130) + 1\/(4\/(-6)). Which is smaller: c or -183?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564815?\nAnswer: 5, 83, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwllw. Give prob of sequence wlwl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.12. Let j = s - 0.02. What is j rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87395920 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*w + 0)*(-472 - 675 + 468) as j + q*w and give q.\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttytyttttytt. Give prob of sequence tty.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.11275 times -0.2\nAnswer: 0.02255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 2*k**3\/15 + 47*k**2\/5 + 410. Determine r so that d(r) = 0.\nAnswer: -47, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -414\/13 - -1268\/39. Which is smaller: -6.1 or u?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(-u + 4*u - u - 1)*(-u**2 - 8*u + 8*u).\nAnswer: -2*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (10 - 3) + -9 + 89.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 79*m + 1191. What is f(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 13, 26, 55, 106, 185?\n\"Answer: a**3 - a**2 - a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a + 4. Let j be 28\/(-36) - (-2)\/(-9). Let y be -3*((-3 - -3) + j). Let g be k(y). Calculate the greatest common factor of g and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122120121210010021 - -10?\nAnswer: -122120121210010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {s: 2, m: 2, k: 1, b: 6, h: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 1995.\nAnswer: -1995.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/449499 and -139\/14526.\nAnswer: 8090982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -993, -1073, -1163, -1251, -1325?\n\"Answer: 2*s**3 - 17*s**2 - 43*s - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 23 - 26 = 0. Let a be (-2)\/4*8\/62. Which is smaller: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2146 and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 448 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 674, 1390, 2288, 3458, 4990, 6974?\n\"Answer: 15*g**3 + g**2 + 608*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + 3*t. Which is bigger: t or -2\/161?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -154*d**2 - 2*d - 377 wrt d.\nAnswer: -308*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.10432318 rounded to 1 decimal place?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 83040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1024, 1377, 2560, 4987, 9072?\n\"Answer: 69*w**3 + w**2 - 133*w + 1087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 8*v + 2. Suppose -5*g - 4*s - 1 = -4, -g - 4*s + 7 = 0. Let x be b(g). List the prime factors of (376\/(-6))\/(x\/9).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**3 - 46*d**2 + d**4 - 1 + 5 + 46*d**2 to the form c*d**4 + v*d + k*d**3 + t + r*d**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -77. Solve -3 = l + b*g, 0 = -2*l - 3*g + 7*g - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738575.\nAnswer: 5, 31, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/2 - 171*h**3\/2 - 993*h**2 - 3978*h - 4644 = 0. What is h?\nAnswer: -43, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 2622798*j**2 + 10491216*j - 10491224.\nAnswer: -2*(j - 2)**2*(j + 1311403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 500\/(-525)*2*4*735\/840\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 2)*(23*w + 67*w + 93*w)*(-3 + 6 - 2) to the form a*w + d and give a.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/260 and 21\/260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10036 - -48?\nAnswer: -ccbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 - 5*z + 5*z)*(2 + 2*z - 2) - 4*z**4 + z**4 + 0*z**4 - 15*z + 15*z + 3*z**4 in the form c + b*z**2 + l*z + r*z**4 + d*z**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1202 divide 61299763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-18 - -13)) + (-6 - (-12 - -3 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -5*j + 224. Let l be (123\/82)\/(5\/710). What is the greatest common divisor of j and l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -112, -1\/2, 2, 2\/7?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 + (2 - -205). Let q = -815\/4 + z. Which is the smallest value? (a) 0 (b) 3\/2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20132\/61 + -330. Let c be ((-7)\/2)\/(11\/(-22)). Suppose f = -6*f + c. Is f <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -104. Let l be 4\/(-18) - (b + (-291)\/(-27)). Let o(a) = a**2 + 8*a - 4. What is o(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*p**3 - 306*p**3 + 88 - 88.\nAnswer: 450*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74747455*o**5 + 2*o**4 - 239860517*o**2.\nAnswer: 4484847300*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206226880 divided by -64.\nAnswer: 3222295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-2)*(-2)\/(-4). Let x be 10\/4 + (m - 5). Which is smaller: x or 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1204320383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxxx when four letters picked without replacement from {x: 5, b: 1, v: 1, r: 2, h: 11}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j + 1. Let l(g) = -6*g**5 - 5*g**2 + g + 1. Let z = 8 + -7. Let h(w) = z*m(w) - l(w). Find the third derivative of h(u) wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 40 = 3*n, 5 = 3*n - 4*c + 2*c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 + (-13)\/(65\/30). Suppose 0 = -2*d + 5*a + 153, -187 = -r*d + 6*d - a. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 19. Let d = 2.29 + -2.19. What is the closest to -1 in j, d, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8474 is divided by 405?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b**4 - b**2 - b. Let t(v) = -35*v**4 - 16*v**3 + 2*v**2 + 70*v. Let h(i) = -t(i) - 6*x(i). What is u in h(u) = 0?\nAnswer: -2, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -0.1 (c) 1\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1275 divided by 58\nAnswer: -1275\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499233?\nAnswer: 3, 7, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2)\/(g\/(g*g**(-2))*g)*g**(3\/2)*g\/g**(-6) assuming g is positive.\nAnswer: g**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 304*h**3 - 3039*h**2 - 15*h + 55. Calculate t(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 1728 = -3*h + 3*f, -4*f = 2*h - 1140. What is the tens digit of (96\/(-42))\/((-12)\/h)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81204094?\nAnswer: 2, 313, 129719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32621 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3430 and 1695890?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18734, -37618, -56502, -75386, -94270?\nAnswer: -113154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1842349 + 0?\nAnswer: 1842349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-15\/7)\/(((i*i**(1\/5))\/i)\/i*i*i*i**(-3\/5)) assuming i is positive.\nAnswer: i**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1629.30901685083 and -3.\nAnswer: 1626.30901685083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 - 9*u - 2*u**2 + 2*u - 4*u**3)*(2 + 6 - 2) to m + h*u**2 + x*u**3 + g*u and give g.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 774774.4ms in nanoseconds?\nAnswer: 774774400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 1 - 9. Let v(r) be the third derivative of -7\/24*r**4 - 1\/60*r**5 + r**2 + 0*r - 98 - 1\/6*r**3. What is v(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9, -293\/4, 0, -3, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*-23\nAnswer: -4.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 34241?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6.9 * 189.98\nAnswer: 1310.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 411.535 - -0.465. Let c = s - 414. What is the nearest to -1\/4 in c, 1\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-7)*(-28)\/(-8). Let n(d) = d**3 - 9*d**2 - 6. What is n(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/((-378)\/6670) - 16\/(-36). Is u > 379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/20*(-5)\/(-2). Suppose 36*r + 28*r = 3*r. Suppose y*i - 376 = -f - 3*f, r = 3*i. List the prime factors of f.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + u. Let m(w) = 7*w**3 + 7*w - 339. Let i(t) = 6*g(t) - m(t). Is i(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3) + 0)*3. Let s = 58 + -36. Let u = s - 15. Solve 0 = z*a - u*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166.4 - -166. Which is the biggest value? (a) -0.2 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4188 + 7968. What is the highest common factor of 140 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 3*g**3 + g**2)*(g - 4*g + g) + 5*g**4 - 3*g**4 - 5*g**4 + (0*g**4 - g**4 - g**4)*(-2 + 2 - 2) + g**4 + 5 - 5.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*h**3 - 8780*h**2 + 104475*h.\nAnswer: -5*h*(h + 597)*(3*h - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 0 + 7 - 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 217, 211, 183, 121, 13?\n\"Answer: -2*r**3 + r**2 + 5*r + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*y + 99*y + 149*y - 7.\nAnswer: 67*y - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2828b2 (base 12) in base 10?\nAnswer: -668294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 35*g**2. Let a(u) be the first derivative of -3*u**2\/2 - 2. Determine a(w(i)).\nAnswer: -105*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hffh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 10. Suppose f = 4*a + 2*s - 84 + 30, 0 = -2*a + 4*s + 12. Solve -4*r - 4*g = a, -5*g = -4*r + r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64387\/49545 + -6\/1835. Let j = -492559969\/3433 - -143478. Let z = j - 209758\/236877. Find the common denominator of f and z.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*u = -32, 2*w = -3*u - 12 - 8. Let b = w + 2. Let o = 2 + -2.2. What is the closest to o in 2, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155516 to the power of 1\/2, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 99949079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 4) + 3 - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9.098. Let w = -1147 - -1141.798. Let p = d - w. What is p rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**0)\/y)\/y**(-4))**(2\/67) assuming y is positive.\nAnswer: y**(8\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 11:12 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 17134*r**2 - 95*r - 14279. Let q(s) = -5711*s**2 + 30*s + 4760. Let w(p) = -6*o(p) - 19*q(p). What is the first derivative of w(c) wrt c?\nAnswer: 11410*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -2\/7, -147, 18, 0.024, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3, 0, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-30)\/(-18))\/(9 - 3872\/429). Let y = 208 + -293. Let k = x - y. What is the least common multiple of 14 and k?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13277, -15129, -16981, -18833, -20685?\nAnswer: -22537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3638531?\nAnswer: 13, 23, 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 13*i**2 - 6*i - 4878. Let f(r) = 18*r**2 - 7*r - 4877. Let c(k) = -5*f(k) + 6*l(k). Differentiate c(p) wrt p.\nAnswer: -24*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2104 - 2103.97. What is the closest to -1 in 3\/4, t, 10?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**2 + 19. Let q(i) = 5*i**2 - 10. Suppose 25*j = 54*j - 116. Give j*g(h) + 9*q(h).\nAnswer: h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88 - 123 + 804*c + 27 to the form w*c + y and give w.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76953 or -76954?\nAnswer: -76953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1223, -5962, -13751, -24590, -38479, -55418, -75407?\nAnswer: -98446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -12?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-9000)\/(-32)))\/((-13)\/((-1170)\/20))\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 21. Let h(k) = 47*k + 230. Let y be h(-5). Calculate u(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005135 rounded to 5 dps?\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -4580 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3238560 divided by 6.\nAnswer: -539760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10570 and 1647338?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063 times -2?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11160 (base 8) to base 16\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/((-2)\/(-1) + -1). Suppose 5*p + 315 = 5*a, 4*a + l*a = -2*p + 228. What is the remainder when a is divided by (-9)\/(-15)*(24 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64481848 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*s - 3*s, r + 4*s - 19 = 0. Let d = 13 - r. What is the smallest common multiple of ((-2)\/(-4))\/((-1)\/(-6)) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/35 - 11\/(-5). Suppose 3*q = -s*q. Suppose q*b = b. What is the smallest value in b, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270037133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 - -0.11. Let x = 1.04 - l. Let f = 0.6 - x. What is the second biggest value in -1\/2, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 6:36 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 1. Suppose -2 = -2*p + 4. Let f be r(p). Solve -5*d = 3*q + 3, 2*d + q = f*q + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/((-9)\/(-9))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.2941l in millilitres?\nAnswer: 269294.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -10*i + 3. What is the least common multiple of 7 and n(-2)?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 269*o. Let c(m) be the third derivative of m**6\/360 - 7*m**4\/12 + 2*m**3\/3 - 191*m**2. Let z(y) be the second derivative of c(y). Determine q(z(l)).\nAnswer: 538*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:36 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 take away 0.15007275689?\nAnswer: -0.00007275689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26887 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -100, -238, -462, -772, -1168?\n\"Answer: -43*y**2 - 9*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 (base 11) in base 5?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 21 = -18*a + 2*q, a + 3*q = -11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 + 5 = 0. Suppose -c*k - 17 = -47. Suppose 7*o + 132 = k*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/11 + 120*h**2 + 268800*h\/11 + 17408000\/11 = 0. Calculate h.\nAnswer: -340, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4717776 and 210?\nAnswer: 23588880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-2)\/(-39) + (-13076)\/(-182). Suppose -76*g = -f*g - 100. Let p(a) = a**3 + 8*a**2 - a - 4. What is the lowest common multiple of g and p(-8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i + 1. Let b(q) be the second derivative of 0*q**3 + 1\/12*q**4 - 115 + 0*q**2 + q. Give b(w(p)).\nAnswer: 324*p**2 + 36*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-10)\/(-25). Let c = 760730\/117 + -6502. Are s and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1344*t**2 + 355*t**2 - 1521*t**2.\nAnswer: -2510*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - (-42677)\/(-56). Let o = -18571\/24 - m. Find the common denominator of o and (-221)\/(-2244) + 5\/(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**3 + 5*h**2 + 4*h - 4. Let j(c) be the second derivative of c**5\/20 - c**4\/12 - c**3\/6 + c**2\/2 + 3*c. Let s = 4 + 1. What is s*j(m) + i(m)?\nAnswer: -2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 3)*(5*t + 2*t - t)*(4 - 3 + 0)*(25 - 28 + 27).\nAnswer: -144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 + 4.7179870407.\nAnswer: 4.1179870407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.7582 millimeters in meters?\nAnswer: 0.2207582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/3)))\/(p*p**(6\/11)\/p*p))**11\/((p*p*p\/((p*p**(-2\/9)*p)\/p))**(-1))**21 assuming p is positive.\nAnswer: p**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -102 + 100 - (-15)\/(1725\/290)\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/12053 and -103\/2006.\nAnswer: 1422254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*-1*sqrt(704) - (sqrt(176) + 2 - ((sqrt(33)\/sqrt(3) - sqrt(11)) + 5)).\nAnswer: 4 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + 2*t**3 - 2*t + 2 + 4*t - 5*t**3 to the form y*t**3 + v + q*t**2 + p*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 12:24 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 336 + -198. Let h be u\/5 - 12\/(-30). Suppose 4*v - 16 - h = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2572 - -1459. Let j = -182 - v. List the prime factors of j.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3495 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*d + 2*s = -835*d - 20, d - 4*s = 18 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715444 less than or equal to 3715416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}