diff --git "a/data/dm_maths/full_data_1/11013_11255.jsonl" "b/data/dm_maths/full_data_1/11013_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11013_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o(i) = i**2 - 2*i. Let u(f) = f**2 - 3*f. Suppose 6*b = 3*b + 12. Let j(r) = b*u(r) - 3*o(r). Find the second derivative of j(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**5 + 486*w**4 - 19683*w**3 = 0.\nAnswer: 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00037 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*a = a - 45, -5*a = 25. Suppose 0 = -2*l - s*j + 4, -5*l + j - 20 = -3. Let v(k) = 19*k**2 + 3*k + 9. Is 40 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3825286916161 take away 0.4?\nAnswer: -3825286916161.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -133305 and -53452.4795.\nAnswer: -186757.4795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(2*(-2)\/44). Suppose 0*z = -2*z + s. Calculate the greatest common factor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 - 0.02. What is the biggest value in c, 3, 5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 101. Let d be m(-16). Solve 0 = -2*q - 5*l - 13 - d, 8 = -2*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h**2 - 12*h. Let u be ((-75)\/30)\/(2\/(-8)). Let a be 16\/(-56) + u\/(-14). Let k(p) = -p**2 - p. What is a*j(n) + 12*k(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*j**2 + 2*j - 2*j + (0 + 0 + 2*j)*(4*j - 2*j - 5*j) - 9*j**2 + 0*j**2 + 0*j**2 to u*j**2 + q*j + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83554719 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 1\/4*p**4 - 1\/30*p**5 + 0*p - 2\/3*p**3 + 0 - p**2. Solve j(z) = 0 for z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20111221 (base 3) in base 4?\nAnswer: -1022032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z - 5. Which is smaller: z or 4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 119*l + l**2 + 3*l**2 - 119*l - 2*l**2. Let w(a) = -16*a**2 - 3*a. Let m(n) = -17*n**2 - 2*n. Let g(c) = 3*m(c) - 2*w(c). What is r(g(k))?\nAnswer: 722*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950647 rounded to the nearest 1000?\nAnswer: 1951000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 9*r**2 - 7*r + 14. Let m be f(-8). Let s be -1*m\/(-9) - 56\/(-6). Suppose 0 = s*q - 3*q - 462. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 875*f - 413*f - 424*f + (-2 + 1 + 3)*(-6*f + 2*f - f) to w + m*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 0.2, -8\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -94. Suppose 41*j - 544 = s*j. Let g = j + 4371\/8. What is the common denominator of g and 55\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37, -41, -47, -55, -65, -77, -91?\n\"Answer: -g**2 - g - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 32. Let l = -78 - -67. Let a be g(l). Sort a, 2, -3, 5 in decreasing order.\nAnswer: 5, 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/33, -1703\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -4*r + 0 + 0*r**2 - 1\/6*r**3. Let x(l) be the first derivative of -5*l**3\/3 - 1. Determine b(x(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -19221363428.8114?\nAnswer: -19221363434.8114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hphp when four letters picked without replacement from puppuopppphuoph?\nAnswer: 2\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.478? (a) 2 (b) 0 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(300) + -1*sqrt(300) + 2)*4 + (4*(sqrt(300)*2 - sqrt(300))*5)**2).\nAnswer: -600040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17571944 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1\/(-4) + 0). Let t(k) = k + 5. Let w be t(-6). Suppose 4419*x - 5 = 4434*x - 35. Put f, w, -10, x in decreasing order.\nAnswer: f, x, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286077 divided by 3\nAnswer: 95359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1556 (base 7) in base 15?\nAnswer: -2be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 2*i**2 - i - 1. Let r be j(1). Solve 5*k = 4*s - 45, -r*s = s + 2*k - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*f**2 - 1791*f**2 - 1152*f**2.\nAnswer: -1855*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 14433159?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 327584688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**3*j**3 - 6*d**3*j + 3*d**2*j**3 - 2*d*j**2 + 2*d*j wrt j.\nAnswer: 30*d**3*j + 18*d**2*j - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 52*i - 764. Let o be x(64). Let z(l) = 6*l**2 - 5*l + 2. Calculate z(o).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21075264 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.226 years in decades?\nAnswer: 32.9226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -211.3 times -165\nAnswer: 34864.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281153*w + 281151*w - 2 - 8 = 18, 2*y + 1150 = -83*w for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 18, t: 2}. What is prob of picking 1 t and 2 b?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 3:48 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7))**(-30)\/(b**(-18)*b**19) assuming b is positive.\nAnswer: b**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -299650, -599286, -898922?\n\"Answer: -299636*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084839 to five decimal places.\nAnswer: 0.00848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 6:39 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -2, 2 in decreasing order.\nAnswer: 2, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 3 + 0 - -16. Let p be (-24 + 22)*(3 + 1)\/(-2). Solve -v = 2*o + f, v - p = 4*o - 3*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -131. Do s and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 0*n**5 + 1\/210*n**7 + 0 + 1\/6*n**4 + 0*n + 0*n**6 + 2*n**2 + 0*n**3. What is the second derivative of o(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5)\/d**(-1\/25))\/(d**(-36)*d*d*(d*d*d*d**(-2\/7))\/d))**(-19) assuming d is positive.\nAnswer: d**(-90858\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109202448 - -109202697.999515. Let o = v + -250. What is o rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6 + 9*u + 3*u + u**2 - 22*u + 6. Give i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 2*v)*(-3 + 0 + 0).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 847.999224 - 848. Round o to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 150.4\nAnswer: -60.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*q + 115, 5*c + 0*q - 3*q = 506. Suppose 3*v - 202 = 2*j, 2*v + 4*j - c = 21. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*x - 319 = 344*x - 3*m, 6*m + 18 = 0 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**2 - 3*z + 3. Suppose -288 = -7*k + 3*k. Let f = k + -35. What is the remainder when f is divided by j(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 59299. Let l(k) = -52*k - 31. What is l(a(f))?\nAnswer: 52*f + 3083517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-91) + 30\/(-26) + 2. Which is the closest to -10? (a) -0.2 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196239025 to the power of 1\/2, to the nearest integer?\nAnswer: 14009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 3 - (51 + -51).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 28.88. What is the closest to 0.2 in 2\/3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 875*z**5 - 120*z**4 - 3905*z**3 + 2110*z**2 + 3600*z - 2560 = 0.\nAnswer: -2, -8\/7, 1, 32\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2060160, 2060165, 2060174, 2060187?\nAnswer: 2060204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 202435160?\nAnswer: -202435162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let y = -68 + 73. Let k(l) = -2*l. Let b(q) = y*j(q) + k(q). Let w(o) = 2*o**2. Determine b(w(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -14*d**2 + 241*d - 281. Determine n(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 - 8*o**3\/3 + 9*o**2\/2 - 4*o + 1. Suppose -39 = 4*i + z, 3*i - 32087*z = -32080*z - 6. What is u(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6049174104 - 258383.\nAnswer: -6049432487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -73. Suppose a = -103*m + 106*m - 18, -3 = -3*m - 4*a. Solve -m*b = 2*h - d, 0*h - b = -5*h - 20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1474821223576 + 4.24.\nAnswer: -1474821223571.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345535349?\nAnswer: 19, 18186071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a hour?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824356399 to the power of 1\/2, to the nearest integer?\nAnswer: 42712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.03, -5, -82?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 65?\nAnswer: -9\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*u - 121023 + 122031 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358 and 4475?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 47*j + 283. What is the remainder when 91 is divided by h(52)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {h: 1, v: 1, r: 2, e: 1, g: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 - 8 = 14*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. What is the third derivative of -9*j**r - 9*j**2 - j**6 + 21*j**2 wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)\/(((((k\/(k\/(k\/(((k*k\/k**2*k)\/k)\/k))))\/k*k*k)\/k)\/k)\/k)*(k\/(k*k**1))**10 assuming k is positive.\nAnswer: k**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 + 24*v + 197. Let t be l(-6). Solve t*h - 4*h = 78 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-six fifths of a micrometer?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 41, 28, -1, 814 in decreasing order.\nAnswer: 814, 41, 28, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 21*q + 40*q - 22*q.\nAnswer: -3*q - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -658*s**2 - 779?\nAnswer: -1316*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1101442543 + -0.1.\nAnswer: 0.0101442543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-225)\/(-81) - 4\/(-18). Suppose -5*n + 4 = -p - 4, 2*p + 2 = x*n. Factor 2\/5*s**p - 2\/5*s + 0.\nAnswer: 2*s*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*a + 1389 = 3429 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(6)\/sqrt(2)*-6)*5 - sqrt(33)\/(sqrt(11) + sqrt(33)\/sqrt(3) + sqrt(11))*-1.\nAnswer: 106*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2\/15, -5.1, 2\/3, -1 in decreasing order.\nAnswer: 4, 2\/3, -2\/15, -1, -4, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 153185796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 83, 38, -7, -52, -97, -142?\n\"Answer: -45*r + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -512467*l**3 + 5527*l**2 + 86*l.\nAnswer: -3074802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 31396 - 347077 - 265988 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7134553 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, 2\/11, -1, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 231 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 144007518 - 12\nAnswer: 144007506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 2*f**2 + 3*f - 4. Let u be g(3). Let i be ((-6)\/(-4))\/(3\/(-8)). What is the units digit of i\/(-6) - u\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*s + 36 = 0, -4*s + 144 = 5*a - s. What is the greatest common factor of 135 and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -1\/7 (c) -4 (d) 592 (e) 7146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2026*t**2 + 18321 wrt t.\nAnswer: 4052*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 72108.5 years?\nAnswer: 7210.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 4.7\nAnswer: 0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-3) - 2 - -3. Suppose 6*k = j*k + 40. Suppose -3*v - k = -8*v. Solve -n = 3*n + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2460\/7 - -21923\/63. Suppose -2*d - 2 = 6. What is the common denominator of n and 189\/15 - d\/(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1006287467.0000685 - 1006287246. Let q = -221 + r. Round q to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j - 2*b = -58*j + 9, 3*j - 2*b - 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 789458*m - 789454*m - 25 = v, -2*m = 2*v + 40 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**4 - q**4 + 2*q**4 + (11 - 11 + 2*q)*(1 - 1 - 2)*((-2*q**3 + 0*q**3 + q**3)*(3 - 1 - 3) + (-3*q - 2 + 2)*(0*q**2 + 7*q**2 + 0*q**2)).\nAnswer: 92*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036476 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/150 and -41\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b + 2*b. Let v(w) = w**2 - 13*w - 14. Let q be v(14). Suppose q*j - 2*j = h + b, -2*j - 4*h = 10. Which is smaller: j or 6\/25?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282605 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-6))\/(5\/67490) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let u be p\/5 + 31\/5. Let v(b) = 6*b**2 - u - 1 + 7. Let k(w) = 3*w. What is v(k(c))?\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*((-3 - 3 + 5)*(-19 - 5 + 2) + (3 - 2 - 3)*(5 - 3 - 4))*(8 - 11 - 3)*(0*b + b**3 + 0*b).\nAnswer: -156*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2417 (base 11) to base 9.\nAnswer: -4305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 573, 1135, 1697, 2259, 2821?\nAnswer: 3383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -459. List the prime factors of r.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/5772 and 64\/39753207.\nAnswer: 159012828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14405*l**4 + 4221 wrt l.\nAnswer: -57620*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (1 + -11 - ((-18 - 8) + 25))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477, 487, 505, 531, 565, 607, 657?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 332, -20.\nAnswer: -20, 1, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - 45. Is (-1 + k)*(-3)\/(12\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 1)*(-1778*v + 5914*v + 905*v)*(3 + 1 - 5) in the form q + u*v and give u.\nAnswer: 5041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 13*i - 6. Let k be j(13). Let d(w) = -w - 14. Let o be d(k). Let z be 4 + 2*4\/o. Which is the closest to 0.1? (a) 3\/2 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 5. Let l(i) = 170*i - 166. Let z be l(1). Let n be x - ((-253)\/z - (-24)\/(-32)). Calculate the highest common factor of 90 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11709 + 11713. Find t such that 3*t - 13\/4*t**2 + 3\/2*t**3 - 1\/4*t**g - 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57\/11 - -613\/165. Find the common denominator of 161\/30 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.15415223 to 2 dps.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 231\/15 + -1*(-4)\/(-10). Let s be 1 + (m\/7)\/(-3). Let u = 213\/4 - 53. Which is the closest to 0.2? (a) s (b) -4\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 2*o**3 + o**3 + 3*o**3 - 2*o**3 - 3*o**3 + o**3 - o**3 + 2*o**3 + (4 - 2 - 1)*(3*o**3 - 2*o**3 + o**3) + 5 + 14*o**3 - 5.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - 0.117\nAnswer: -1.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69738, 64245, 58752, 53259, 47766?\n\"Answer: -5493*s + 75231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 21323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1319 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-12)\/(j\/(j*j\/(j\/j**(-1\/32))*j*j)*j*j*j**(-6\/25)*j*j*j))**14 assuming j is positive.\nAnswer: j**(51569\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 - 3*p**2 - 4*p + 1. Let f be x(3). Suppose -3*d = 2*d - f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-156) + (-3 - (-3 - 0)). Let j(v) be the second derivative of -p*v**4 + 1\/60*v**6 + 0 + 0*v**3 + 0*v**5 + 1\/4*v**2 + 3*v. Factor j(h).\nAnswer: (h - 1)**2*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -0.4395935 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**8\/840 + t**7\/280 - t**6\/360 - 8*t**3 - 2*t**2 + t. Let g(w) be the first derivative of n(w). Factor g(m).\nAnswer: -m**2*(m - 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 18 = 6*c, 15*p + 9 = 20*p + 3*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 7 - 2)*(-4 + 3*b + 4)*(-1 + 0 + 3).\nAnswer: -108*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = 22. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 11*y**3 - 7*y**2 + 6*y - 30. List the prime factors of r(-4).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*q, q = 3*l - l + 9. Let d(m) = -m - 10. Let p be d(-9). Let h be 6\/10 + p\/(-15). Which is the closest to h? (a) -0.2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbp when three letters picked without replacement from hhfnbhpfhhhnhhhhhph.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 363, 864, 1565, 2466, 3567?\nAnswer: 4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 31. Let l be j(-15). Sort l, -5, -3, 0.\nAnswer: l, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 6*z - 2*z. Put z, -2\/13, 0.03, 3 in decreasing order.\nAnswer: 3, 0.03, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriiiiiiiiiri. What is prob of sequence iiri?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = -0*q + 4*q. Suppose 5*w + q = -4*p - 0*p, 4*p + 3*w + 164 = 0. Let v = 50 + p. Solve 3*f + v = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/6 + 5 - (74\/(-4) + 8).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 543\/26 + -252\/13. Which is the closest to 1? (a) -0.4 (b) u (c) -0.2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 3*p**2 - 4*p - 3. Let a be c(-4). Suppose 5*m + 9 = a. Let b = -8 + 11. Solve -m*h = -3*h - b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20. Let x be (-14)\/6 + 2\/(-3). Sort h, 5, x in increasing order.\nAnswer: x, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 342310, 2, 5 in decreasing order.\nAnswer: 342310, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = -15. Suppose 3*i - 4*m - 26 = -6, z*i + m - 18 = 0. Let p be i\/(-6) + (-4)\/(-6). Which is smaller: p or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**5\/20 + s**3\/6 + 28*s**2 - 55*s - 37. Let g(d) be the first derivative of i(d). Differentiate g(h) wrt h.\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 19*g + 26 - 11)*(-2*g**2 + 2*g**2 - g**3).\nAnswer: 19*g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.052 + 21.052. Let y = 100.7 + -80. Let q = c - y. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -1)**2*-2 + (1*(sqrt(17) + sqrt(102)\/sqrt(150)))**2.\nAnswer: -121838\/25 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -15*k + 170. Let j be (1 + 3)*(-210)\/40. Is t(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/25*(275\/(-10))\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082050 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 2. Let m be 1*8 - ((-24)\/(-4) + -6). Calculate the greatest common factor of n and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -978, -977, -988, -1017, -1070, -1153, -1272?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 643895.218 - 643106. Let f = -787 + k. Let o = f + -2.2. What is o rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 0*p**2 - 26 + 3*p**2 - 4*p + 28 as q + j*p**2 + o*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -613 + -468. Let g = 1081.547 + w. What is g rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (0\/2)\/((-20)\/10). Let w be (2 + (-5)\/3)*(12 + j). Suppose w*s - s = -4*s. Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1\/3, 2, 373?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.4 + -7.6. Let j = -36 - r. Suppose -3*z - 9 = 0, 4*l + 12 + 7 = -z. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i + 3*i**2 - i - 2 + 2 - 7. Let c(h) = h**2 - 3*h - 3. Let x = 7 + -5. Suppose -15 = 7*t - x*t. Give t*s(z) + 7*c(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 8*x - 6. Let f be g(9). Suppose 110 = f*a - 2*m, 3*a - m - 125 + 13 = 0. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 7*r + 1. Let c be v(7). Suppose a - 5*x - 2 + 15 = 0, 3*a = -2*x + 12. Put c, -1, -2, a in ascending order.\nAnswer: -2, -1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 13*d**2 + 2. Suppose -5*t + 3 = -27. Suppose -t*r + 9*r + 39 = 0. What is the units digit of w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, 5\/3, -0.5 in increasing order.\nAnswer: -0.5, 5\/3, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001001 - 1101011000001?\nAnswer: -1011010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 - 53*v + 26. Calculate the least common multiple of 297 and m(-8).\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-135)\/351)\/((-69)\/24) and -19\/11.\nAnswer: 3289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3462\/23 - -21025\/138. Let q(b) be the first derivative of 25 - 25\/2*b - 1\/8*b**4 - 35\/4*b**2 - g*b**3. Solve q(z) = 0 for z.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmms when four letters picked without replacement from mmmmsmssmmsssmmmsmm.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 11*b**2 - 63*b - 290. What is d(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 11}. Give prob of sequence ha.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6620, 13853, 21796, 30449, 39812, 49885?\n\"Answer: 355*i**2 + 6168*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 9\/6)\/(4\/8). Let s be -1 + (-1)\/(l\/(-2226)). Let y = 380 - s. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2048 and 286208.\nAnswer: 1144832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(10) - sqrt(640)*2)\/(sqrt(5) - sqrt(40)\/(sqrt(8)*2)) + 5 + sqrt(100)\/sqrt(2) + -2)**2.\nAnswer: 50*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let k(u) = 4*u + 11. Let b be k(-6). Is c(b) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-39) + 1*(-4)\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z + 6. Which is smaller: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11269682 from 0.008.\nAnswer: 11269682.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -19 - 2483\/(-191).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/24 - m**2\/2 - 3*m. Let c(y) be the first derivative of h(y). Let n(o) = 5*o. Give c(n(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 8:59 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 800788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -6*j - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 28. Let c be ((-10)\/4)\/((-2)\/n). Calculate the common denominator of 0 - (3 + c\/(-7)) and -37\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from wywyyywyyyw.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135 and 110?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:49 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 490305, 980630, 1470955, 1961280?\nAnswer: 2451605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2. Let s(z) = -2*z**2 + 18*z. What is s(h(v))?\nAnswer: -2*v**4 - 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -18, -27?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + o**2. Let t(s) be the first derivative of s**4\/4 - 2. Let j(q) = 2*g(q) + t(q). What is the third derivative of j(h) wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 1:10 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3) + 0 + -9 + 3 + 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -18. Let s(v) = -6*v + 6*v + 4*v + 0*v + c. Calculate the least common multiple of 6 and s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 - 2*n - 6. Let h = -64 - -62. Let w be x(h). Factor 22*v - 20*v + 0*v**w - 3*v**2 + 5*v**2.\nAnswer: 2*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -19, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 8*t**2 - 11*t + 8. Give j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -1 + (-61 - (107 - 152))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -1, 3, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9839, 19602, 29365, 39128, 48891?\n\"Answer: 9763*l + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -94 - 59 - (1 + 8)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 493120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2 + h - 1.\nAnswer: h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/4 - (-15)\/(-6). Let g(v) = 2*v**2 + 4*v. Let r be g(s). Let b be ((-4)\/(-6))\/(4\/r). Calculate the greatest common divisor of b and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 792981 (b) -0.4 (c) 2\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from {k: 4, h: 1, x: 3, f: 2, t: 4, d: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 12*i**2 - 12*i - 4. Let b be t(-11). Let g be (4 - (b - 3))\/(-3). Let v be 0 - g*(-1 - -2). Solve v = -z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 337*l. Let i(s) = 25*s + 2. What is p(i(r))?\nAnswer: 2500*r**2 + 8825*r + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from dlddddddddddddd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -740.\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/3)\/((-3)\/(12\/2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 17*h**2 + 15*h - 19. Give a(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhh when three letters picked without replacement from {q: 5, v: 1, h: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53086546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 730813*g\/5 + 35807436\/5.\nAnswer: (g - 730764)*(g - 49)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2412*z + 164*z - 417*z as w + l*z and give l.\nAnswer: 2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 813 = -19*z + 821 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) + sqrt(48) - sqrt(3)) - (-1 + sqrt(176))) + 4.\nAnswer: -15*sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39.6? (a) 21\/5 (b) -584.4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346765957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*2*(sqrt(2) + -1)*-3.\nAnswer: -24 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84.4 - -1.5. Let m = f - -83. Let r = 0.01 - 0.13. Which is the nearest to m? (a) r (b) 1\/7 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193412462.\nAnswer: 2, 96706231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1289826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 923 or -37912?\nAnswer: -37912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 + 28*v**2\/3 + 88*v\/3 + 80\/3.\nAnswer: 2*(v + 2)**2*(v + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -4 (c) -5 (d) -207 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28606 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**5 - 928715*l**3 - 10*l**2 + 1731*l + 58 wrt l?\nAnswer: -540*l**2 - 5572290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -110, 0, -45.\nAnswer: -110, -45, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -543, -651, -803, -999, -1239?\nAnswer: -1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3523476 divided by 80079?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27483 is divided by 2497.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 577 - 15?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -91*s + 55. Let d(f) = -33*f + 20. Let y(r) = 11*d(r) - 4*h(r). Let u(o) be the first derivative of -55*o**2\/2 - 1. Determine y(u(t)).\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**3 + 28*t**2 - 28*t - 60 = 0. Calculate t.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by ((-30)\/9)\/(16\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 19. Suppose 4 - g = q. Which is bigger: q or -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -36*b. Let h be k(-1). What is the second derivative of -20*o**2 - 39*o - h*o + 81*o wrt o?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = 2*r. Suppose -r*b + 115 = 2*b. Suppose 4*n + 334 = 2*w, 2*w + 2*w - 4*n = 656. What is the highest common divisor of w and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 7) to base 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - 34. Suppose 6*w + z = -5*w. Let d be -4 - 18\/(-12)*24\/w. Which is bigger: d or -12?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 61963 = -62746 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.3 + 24.7. Let b = 24 - q. What is the third smallest value in b, 1\/2, -2\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48213 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-63)\/(-84)*((-22430)\/(-15) - 6) is divided by 229?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.032 * -43971.\nAnswer: 1407.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*t + 3, -54*g - t - 2476 = 299*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*c = 66*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 1815?\nAnswer: 1815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2919 + -2919 - (-3 + -35).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6)*15\/(-70))\/(254\/225806)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4285 - -4337. What is the remainder when 149 is divided by n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 36*k**2 + 15*k - 15. Let h = -42 + 57. Let f(c) = -5*c**2 - 2*c + 2. Give h*f(d) + 2*v(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2, 2*r + 3*w = 4*r - 19. Let b = 221 + 11. Calculate the highest common factor of b and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*h - 114660 = 56*h. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*g - 54, -4*c - g - 4*g = -67. What is the highest common factor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 69, 99, 129, 165, 213?\n\"Answer: j**3 - 6*j**2 + 41*j + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 84*i**5\/13 + 3050*i**4\/13 + 674*i**3\/13 - 9668*i**2\/13 - 656*i - 1152\/13 = 0. Calculate i.\nAnswer: -36, -8\/7, -1, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/37)*y\/(y**(2\/7)\/y)*(y\/(y*y\/(y*y**(9\/7)\/y)))\/(y\/y**(8\/9)) assuming y is positive.\nAnswer: y**(602\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + ((-6*(sqrt(14) + -1*sqrt(14)))\/(sqrt(21)\/sqrt(3)*2))**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19415 + -3.09415. Which is the biggest value? (a) 0.4 (b) -0.2 (c) v (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 48 = 3*s + s, 3*s + 28 = w. What is the common denominator of (-2)\/w + 4696\/1728 and -149\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:55 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**4\/12 + c. Let s(f) = f**2 - 6*f - 5. Let p be s(7). Let v(q) = -4*q + 4*q - 2*q**p. What is v(t(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 19*d**2 - 145*d - 2532. Give t(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1082, 3991, 8770, 15455, 24082?\nAnswer: 34687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -46*z - 957. Calculate the remainder when 1130 is divided by t(-27).\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811131026.\nAnswer: 2, 3, 29, 10408799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1007 and 624800.\nAnswer: 629173600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 9*g**2 - g + 5597. Let v(d) = d**3 - 3*d**2 + d - 1. What is -h(u) - 3*v(u)?\nAnswer: -2*u**3 - 2*u - 5594","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -u + w, -5*u - 244*w = 2*u - 248*w + 101 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -25486*g**2 + 213721*g**2 + 31765*g**2. Let s be u(1). What is s rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*x + 2*x**2 - 2*x**2 - x**2.\nAnswer: -x**2 - 186*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -12 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 5\/2 + -3. What is the nearest to -0.1 in 0.4, a, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 + 18*r**3 - 6*r**2 - 50*r + 36 = 0. What is r?\nAnswer: -9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -2. Let w(s) = 5*s. Let r(g) = -3 + g - 8 + 1 + 11. Let i(o) = -4*o + 3. Let l(m) = i(m) - 2*r(m). What is f*l(x) + 3*w(x)?\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 460. Let s = -2671 + 2694. What is the greatest common factor of d and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from bsbsezbvb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11352 rounded to three decimal places?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, v: 7, n: 2, f: 2, l: 3}. Give prob of sequence ono.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49a + -2d?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 7522 - 7523 + 22570 + i**2 - 7524. Let s(o) = 36*o**3 - 4*o**2 - 5*o - 4. Determine -4*n(m) - s(m).\nAnswer: -36*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/7))**(1\/3)*(y\/y**(2\/3))**21)**46 assuming y is positive.\nAnswer: y**(6670\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*3\/((-9)\/(-2)). Let y(q) = -q**3 - 5*q**2 - 2*q + 4. Let w(i) = 2*i**3 + 6*i**2 + i - 3. Let c(m) = -2*w(m) - 3*y(m). Determine c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.7006ng in micrograms?\nAnswer: 0.0417006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 4*i + 3. Let y(v) = -5*v**2 - 6*v - 5. Let q(b) = -b**2 - b - 1. Let d(z) = 6*q(z) - y(z). Let m(x) = -5*d(x) - p(x). Determine m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/4445, 30, -46.\nAnswer: -46, -3, 2\/4445, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 31*v - 107*v - 28*v. Let s(x) = -x. Give p(s(n)).\nAnswer: 104*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718 = -c + 120. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717 = -160*h - 77. Sort -48, -1, h, -2 in ascending order.\nAnswer: -48, -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:09 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 51\/3436?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109972*w**4 - 137138?\nAnswer: -439888*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137155597*f**4 - 15844*f**2 - 21170 wrt f?\nAnswer: 3291734328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w - 2. Let a(c) = -41*c + 4. Determine -6*a(q) - 13*b(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8502, 8501, 8500, 8499?\n\"Answer: -g + 8503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 15) in base 8?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 584, -0.1, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttxjta. Give prob of sequence ja.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10499 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-33) - (-5010)\/33. Suppose -d - b = -5*b - 82, -2*b - v = -2*d. Let t = -42 + d. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8038602 to the power of 1\/2, to the nearest integer?\nAnswer: 2835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 1572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -244.028 - -244.209319. What is t rounded to three dps?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 838, 2984, 6558, 11560, 17990?\nAnswer: 25848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*l + 14*l - 41*l - l + 2 - 2 + (-2 + 3 + 1)*(2 - l - 2) + l - 1 + 1.\nAnswer: -59*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 2922633.\nAnswer: 11\/2922633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Suppose 4*m - 13 = -0*m + x, 21 = 3*m - k*x. What is the third derivative of 4*y**2 + y**4 - 3*y**4 - 3*y**m wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21666, 21664, 21662, 21660, 21658, 21656?\n\"Answer: -2*c + 21668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23430 (base 5) to base 9.\nAnswer: -2343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 36*g = 2*r + 2*r - 30, g + 48 = 5*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 251728 and 2960?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 298946353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjjgqlqqljhllljjhh.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12182348 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 65. Suppose -3*y = -28 + x. Solve -3*n - 5 = m, 0*n + y*m = n - 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2356 and -59\/2261.\nAnswer: 280364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-18)*(-9)\/(-6). Let x(j) be the first derivative of 0*j**2 - j - 1 + d*j**3. What is the derivative of x(v) wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 61, 85, 105?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563745 divided by 80535.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 524*u - 4 + 1.\nAnswer: 524*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.792 + 2.7947037. What is q rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d, 0 = -4*o + o + 2*d + 6174. What is o rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*f = -19, 2*t + 0 - 2 = 3*f. What is the remainder when t is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(2\/(-1))*-1. Let t be (v\/(-3))\/((-4)\/12). Let l = 5 - t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, 16, 85, 178, 295?\n\"Answer: 12*k**2 + 9*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -153*k + 642. What is the remainder when 290 is divided by n(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4541 and -2?\nAnswer: -10.9082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266225892 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411, -1414, -1419, -1426?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3636*k = 3615*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 20 = 3*t - 4*o, -3*o = 12. Let n(h) = -3 + 6*h + 1 - 1 - t. Let r(c) = 7*c - 6. Determine -6*n(b) + 5*r(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - sqrt(18)*-2 - sqrt(2) - sqrt(96)\/sqrt(3)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 65635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.7 and 5.5.\nAnswer: 207.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1 + 0 - 0). Let x be 5 + y - (-2 - 192995). What is x rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2067 - -2280. What is the remainder when t is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1112967, 1112968, 1112969?\nAnswer: 1112970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = 4. Let g(s) = -2*s + 6. Let p be g(12). Let c be 2\/10 + p\/j. Solve 4*h - 2*l = 8, c*h + l = -0*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-144) - (-2)\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2149 is divided by 144.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -796.25.\nAnswer: -811.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8783, 8779, 8781, 8795, 8827, 8883?\nAnswer: 8969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -42, -73, -106, -135?\n\"Answer: c**3 - 10*c**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33801*b + 31 - 101394*b + 33804*b - 90 + 59 + 33788*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/(-10) + (-4)\/10. Let z be (0 + -1)*2*(-19)\/38. Sort n, z, -4.\nAnswer: -4, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**3 - 2*m**2 - 2*m. Let q(f) = -7*f + 65. Let i be q(9). Let v(x) = 3*x**3 - x**2 - 6*x**3 - 3*x - 6*x**3 - 2*x**2. What is i*v(a) - 3*n(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:33 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1872 divide 433731168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603078 divided by 8?\nAnswer: 801539\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -131*t**2 - 4459*t - 142. Determine f(-34).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 3*v + 2. Let p(r) = -r**2 + 4*r + 3. Let t(o) = -4*i(o) + 3*p(o). Let q be t(-1). Solve -3*j + 11 + 3 = -q*m, 0 = 3*m + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 16*z + 21*z - 10, 4*z - 19 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 5*t**3 + 4*t**2 - 2*t**3 + t**3.\nAnswer: -8*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m - 1. Let g(b) = 5*b - 1. Determine g(w) - 5*r(w).\nAnswer: -5*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29397465 is divided by 681?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/(-11) + ((-2075)\/275)\/(-83).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56225 by -5.\nAnswer: 11245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.6089 and 0.0628953536?\nAnswer: 1.6717953536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*a - 65. Let y(l) = -5*l - 31. Let s be y(a). List the prime factors of (-11 + -4 - -3)*s\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.7886 or -2\/379?\nAnswer: -2\/379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 42, 58, 66, 60?\n\"Answer: -h**3 + 5*h**2 + 10*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95739 = 418*l + 569*l. Let t = 4 - -6. Calculate the remainder when l is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 20*g = 3*s - 44, -3*s = -9. Solve 334*b - 327*b = -g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 105*g. Let p(b) = 3975*b. Give p(f(v)).\nAnswer: 417375*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51909136 to the power of 1\/2, to the nearest integer?\nAnswer: 7205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 671738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -5*g, 2*n + 3 = -2*g + 19. Let l be (1\/(-2))\/(5\/250*-5). Let a = l + -3. Solve -a*i - i - n = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to 222\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/15*(-2)\/(10\/(-9)). Suppose 0 = -2*b - 0*f + 2*f + 26, v*f = b - 23. What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -39*g**5 + 189*g**4 - 216*g**3 - 156*g**2 + 288*g = 0?\nAnswer: -1, 0, 24\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -661\/7 + 94. Let b = 6\/23 + -64\/69. Let t be 24\/(-10) - (-1 + 0)\/1. What is the second biggest value in t, -0.4, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let u = -25094.7 - -25095. Sort u, 0.4, d in decreasing order.\nAnswer: 0.4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30741218447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4899832823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s*(s*(s\/(s**(-7\/3)\/s))\/s)\/s)*s)*s)\/s)**(-3\/4)*(s**(-19))**36 assuming s is positive.\nAnswer: s**(-688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d + 195*d + 7 - 38 = 101*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**6\/60 - t**5\/60 - 5*t**4\/24 + 8*t**3\/3 - 103*t**2. Is 26 a factor of l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 19*w**2 - 4. Suppose -4*o = -5*r - 31 - 84, -43 = 2*r - o. What is z(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-35)*(-3)\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586964179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146216 + -125784. What is x rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16446 + 13914 = 0. What is i rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obvbbvvoribxrbv. Give prob of sequence vi.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 702 - 205688\/293. Is -8 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 3:15 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23200330100 (base 4) to base 9\nAnswer: 5610552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500)*2 - sqrt(500)*-2*-2 - ((sqrt(500) + 0 - sqrt(500))**2*5 + 4))*-4.\nAnswer: 16 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -0.17 (c) -66 (d) 33 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 906652545.\nAnswer: 3, 5, 19, 3181237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1. Suppose 1062 = 5*g - 5218. Let q(c) = -5*c + g - 1274 + 2*c. Determine q(l) + 18*r(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(1\/(-2) + -1). Let n = r + 4. Let s = n - -1. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46592201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1361*u**3 - 146*u**2 + 146*u**2 + 2*u - 1355*u**3 + 189 to the form o + g*u + r*u**2 + t*u**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4313000 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*w + 40, 561 - 489 = 2*a - 15*w for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 1. Let y(t) = t. Let n(u) = 4*r(u) - 14*y(u). Let m = 141 + -133. What is the least common multiple of n(-3) and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*v + 4*l, -4*l - 142 + 42 = -5*v. Let w = v + -6. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-194480)\/408)\/143*(0 - 132\/(-10)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/5, -2\/13, 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*d - 10, -4*g - 3*d = -4. Let l(f) = 14*f**2 + 11*f. Let x(i) be the third derivative of -i**5\/12 - i**4\/6 - i**2. Calculate g*l(a) + 11*x(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -193*x**2 + 29*x + 34*x + 1 - 95*x + 34*x + 2.\nAnswer: -193*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.93284 - -0.03284. Put 4, -2\/7, -0.4, 3, r in increasing order.\nAnswer: r, -0.4, -2\/7, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12*c - 840. Let n be b(69). Which is greater: -134\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*w**3 + 1 + 186*w**3 + 77*w**3 + 0.\nAnswer: -10*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**3 - 9*i**2\/2 - i. Is h(7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -165*d + 78. Let k(z) = 169*z - 77. Let l(n) = -4*k(n) - 5*w(n). List the prime factors of l(3).\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - 1 - (-2)\/((-14)\/(-35)). Let i be 1\/b - (-3195)\/225. Solve -5 = -3*r - i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.0514984?\nAnswer: 0.01029968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, g: 7}. Give prob of picking 1 f and 3 g.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 11069 - 10994 = 3*a, 0 = -2*h - 5*a - 35 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s - 18 + 154*s**3 + 18 + 32*s.\nAnswer: 154*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*21\/4*2. Let c = b - 9. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.87 - 47997772704.\nAnswer: -47997772711.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 4*b + 4. Let t(a) be the third derivative of a**5\/30 - 5*a**4\/24 + 5*a**3\/6 - 1050*a**2. Calculate -4*g(n) + 3*t(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245871.\nAnswer: 3, 17, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -37*h - 342. Determine k(-11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 1566, 3, -7 in ascending order.\nAnswer: -7, 1, 3, 17, 1566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + 0 + -7)\/(-1). Let k(x) be the third derivative of -6*x**2 - 2\/39*x**3 + 0*x**5 + b - 1\/52*x**4 + 1\/780*x**6 + 0*x. Factor k(c).\nAnswer: 2*(c - 2)*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -182 - 466. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 5, w: 2, p: 3, d: 2}. What is prob of picking 2 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = w. What is the second derivative of 2 - 3*f**2 - 2 - f + w*f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 285961, 1143996, 2574055, 4576138, 7150245, 10296376, 14014531?\n\"Answer: 286012*t**2 - t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.34988 years in months?\nAnswer: 532.19856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 13*r**2 + 430*r - 88. What is d(-35)?\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 6. Let z(r) = -3. Calculate -3*w(s) - 6*z(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11210, 88960, 299820, 710288, 1386862, 2396040, 3804320, 5678200?\nAnswer: 8084178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*f + 4, 3*h = -5*f - 0*f + 10. Suppose -q - 2*w + 231 = h, -5*q = -4*q - 2*w - 219. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1819628 (base 10) to base 15\nAnswer: -25e238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from ulyvfylvvcy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + 5 + -3 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 7:43 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13633 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17520397*w + 0 - 8760162*w - 8760235*w + 0 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w**2 + 45*w - 96. Let n(d) = -d**2 + 9*d - 19. Let z(l) = -2*i(l) + 11*n(l). Let g be z(5). Let f(u) = -2*u**2 + 4*u. Calculate f(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/9 - 10*l**4\/3 = 0. What is l?\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + -2 + 11 + 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 957603.2 millilitres?\nAnswer: 957.6032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q - 2*q + 3*q)*(36 - 36 + 5*q)*(0*q - q + 0*q + (-2 - 3 + 3)*(1 + 2*q - 1)).\nAnswer: 150*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.46, 7, -2 in increasing order.\nAnswer: -2, -0.46, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166811, -166812, -166813?\nAnswer: -166814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 38, 0.1, -6, 66, 94?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxxxxuwxlwgxxglgl. What is prob of sequence ltt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*q - 90, 2*q - 3*v - 75 - 16 = 0. Let j = 42 - q. Let y be -2 - (-6)\/(-4)*2. Is y > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 291476 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-20))\/((-1)\/(-2)) + 7. Let f(w) = -6*w**2. Let b(j) = -j**2. Let v be (-3 - (-22)\/6)\/((-2)\/66). Calculate u*f(q) + v*b(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 679.73 - 10029140.\nAnswer: -10028460.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1559772 and 369.\nAnswer: 63950652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -259615 and -258976 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4)*6\/(-3). Suppose 0 = 3*v - 5*x - 1, 3*v + 5*x - 14 = -j. Let d(n) = 5*n**3 + n**2 + 2*n - 1. What is the units digit of d(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 1b?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - 201101?\nAnswer: -210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 262554 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324725569?\nAnswer: 7, 23, 241, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78348*n = -2*m - 78351*n - 11, -5*m - 15 = 5*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(833) + -4 + sqrt(833) + 2 - (3 + 1 + sqrt(17) + -4 + (sqrt(833))**2).\nAnswer: -839 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4144465393 to the power of 1\/3, to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26797 + 26797. Which is the closest to -7\/15? (a) p (b) 0.3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -14, -11, -4, 7, 22?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21137122.\nAnswer: 2, 47, 224863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33101301 (base 4) in base 13?\nAnswer: 22638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -200\/7. Suppose 5*m + k - 8 = 0, m - 2*m - 5*k = -16. Sort -19, m, h in decreasing order.\nAnswer: m, h, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (11 - (15 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1285, -1\/5, 0.01, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 67*x**3\/3 - 21*x**2\/2 + 133*x - 31. Is f(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 0 - 43*q + 12\/5*q**5 + 0*q**4 + 0*q**3 - 37\/2*q**2. What is the first derivative of r(t) wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1983283134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - p**3 + 0*p**3)*(18*p + 23*p + 23*p) - 3*p + 3*p + p**4.\nAnswer: 65*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4*u**3\/5 - 1496*u**2\/5 - 5932*u\/5 - 888 = 0?\nAnswer: -370, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.658269m to centimeters.\nAnswer: 465.8269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -132?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 136 = 2*r + 332, 0 = 2*r. Let h = p + 70. Let f = -33 - h. List the prime factors of f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (16341\/(-10) - 0). Let c = -3219 + 1576. Let v = c - a. Calculate the common denominator of -45\/11 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 5*m**2 + m - 6. Determine n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*-5*61\/((-4392)\/240).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2019 (base 10) to base 13.\nAnswer: bc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a - i - 10, -a - 5*i + 7 = 0. Let d be (-1)\/2*-2 + a. Sort d, 1, 0 in decreasing order.\nAnswer: 1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09131 - -1.60349. Let h = 1.63 - w. Round h to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/8460 and -13\/2076.\nAnswer: 1463580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/6*h**3 + 2 - 13\/6*h**4 - 1\/70*h**7 + 0*h**6 + 0*h + 13\/60*h**5 - 85*h**2. What is the second derivative of z(r) wrt r?\nAnswer: -36*r**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 12*s - 10. Factor 6 + 0 - q**3 - 2 - q - q**s + 5*q.\nAnswer: -(q - 2)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -324669*n**6 + 21*n**4 - 2*n**2 - 154874466*n wrt n.\nAnswer: -38960280*n**3 + 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*g - 78, -p + 4*g = 3*p - 84. Suppose 36 = -9*d + 12*d. What is the least common multiple of p and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111111000010001 - -1?\nAnswer: -111111111000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 11*g + 2450 = 3341, 4*g = -2*z + 1 - 355 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1359.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*z - 67*z = 3*n - 330, -n + 82 = z. Suppose p - 2 = -0*p. What is the remainder when z is divided by (-1)\/((-2)\/68*p)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 2:59 AM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least 157944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 9:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {o: 8, k: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -637 (base 12) to base 15.\nAnswer: -407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15216.6 times -2?\nAnswer: 30433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -743*v + 743*v + 2*v**2 + 136.\nAnswer: 2*v**2 + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17.79079 and -5?\nAnswer: 12.79079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*w + 280 + 17 = 1817*w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - 112. Solve -g = -2*v + 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 23*a - 6528 = 0. 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: Suppose c - 328 = a - 1374, -a - 4209 = 4*c. Which is smaller: -1050 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 975033, 1950067, 2925101, 3900135, 4875169, 5850203?\nAnswer: 6825237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-8)\/d)\/d)\/d**(-13\/5))**(-2\/45) assuming d is positive.\nAnswer: d**(74\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k - 10, 0 = -3*d + 4*k - 209. Let z = 199\/3 + d. Let y = -0.03 + -0.97. What is the closest to -2 in z, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 18131436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 307 = -2*m + s, 5*m + 23*s - 14*s = 335 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**3 - 5*h**2 - 2*h + 57. Let w(a) = a**2 + a - 22. What is -k(b) - 5*w(b)?\nAnswer: -8*b**3 - 3*b + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**2 + 0 + 0*v**3 - 1\/12*v**5 + 2*v - 5\/6*v**4. Factor l(x).\nAnswer: -5*x*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f**4 - 567*f**3 - 1395*f**2 - 1133*f - 294 = 0. What is f?\nAnswer: -49, -1, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 1 (b) 5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -18. Is -15 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114501238.\nAnswer: 2, 57250619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/15)\/o**5)\/((o**(-4)\/o*o)\/(((o*o\/o**6)\/o)\/o)) assuming o is positive.\nAnswer: o**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 42407 - 21121 - t - 21286.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-84) - 2\/7. Suppose -3*i + 3*c + l*c = -96, 5*i - 160 = -3*c. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -427. Let u = x + -206. Suppose -1627 = 416*c - 4539. Calculate the greatest common factor of c and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990000 and 1210000?\nAnswer: 10890000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*n**6 + 6*n**5 - 28*n**3 + 3116*n**2 wrt n.\nAnswer: 960*n**3 + 360*n**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(136))\/sqrt(8) + (-3 + sqrt(17))*5)**2 - (sqrt(833) + 5 - (sqrt(612) - (sqrt(612) - (3 + sqrt(612)))))**2.\nAnswer: -184*sqrt(17) + 816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(304)*5) - (-3*2*sqrt(152))\/(sqrt(8) - 1*sqrt(8)*2).\nAnswer: -15 + 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 - 6*n - 2. Let k be (-12)\/9 - (-11)\/(-3). Let o be v(k). Solve -o*g + 3*c - 7 = 8, c = 5*g + 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 16, r: 4}. Give prob of picking 1 r and 3 n.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/390*3\/(3\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*z + 7, 3*z - 2*s - 18 = 6*z. Let l(q) = 3*q**2 + 56*q + 47. Let p(w) = -w**2 - 19*w - 16. Let j(o) = -6*l(o) - 17*p(o). Is 21 a factor of j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -49*w. Let m(j) = 13*j**2 + 10*j**2 - 20*j**2. Calculate q(m(p)).\nAnswer: -147*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 98004121\nAnswer: 98004090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/((sqrt(192) - sqrt(192)*-1) + sqrt(192)) - 6*sqrt(1216)*1.\nAnswer: -575*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -263, 0.3, 1, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 2:31 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1931f (base 16) to base 14.\nAnswer: 29875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 809010220 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 6*r. Let y(p) = p. Let t(i) = -x(i) + 6*y(i). Let z(h) = 2*h**2. Determine t(z(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 37*p + 47. Let u be d(36). Solve 0 = -2*o - 17 + u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -25. Let q = r + 25. Let u = 9 + -11. Which is the nearest to u? (a) -5 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175677521 a multiple of 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 264*y**2 + 1859*y - 12. What is u(-7)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 64*u - 11605 = 100*u + 69*u for u.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 6889*g - 13766*g + 2*g**2 + 6892*g)*(-2*g**2 - 2 + 2).\nAnswer: -4*g**4 - 30*g**3 - 46*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/(-6))\/((-14)\/(-28))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*q + 20 = -7*j + 18 - 10, 4*j - 4*q + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98712604?\nAnswer: 2, 491, 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.0909\nAnswer: -0.2727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 11) to base 2.\nAnswer: 1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 25 + 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Let l be (-6)\/3 + 7 + -2. Suppose -8 = s - l*s. What is the remainder when m is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10))**41*(r**(-2\/3))**25)**(-2\/9) assuming r is positive.\nAnswer: r**(2560\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*6*sqrt(1008).\nAnswer: 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -337451294.6793 - -0.01\nAnswer: -337451294.6693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k)**34)**(-47) assuming k is positive.\nAnswer: k**(-799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/8 in 1\/32, -1.1, 2\/179?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13 and 29\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/144 and -79\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-36)*(1 + 11). Which is the second smallest value? (a) -407 (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from adrhhabby?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 - 2*z**2 + 3. Let j(g) = -7*g**3 + 4*g**2 + 5. Let w(d) = -7*d**3 + 4*d**2 + 1. Let n(l) = 2*j(l) - 3*w(l). Calculate 2*n(s) - 5*y(s).\nAnswer: -s**3 + 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + y**4 + 19 - y**3 - 2*y**2 + 7*y**2 + 0*y**4 to p*y**2 + c*y + b*y**3 + l + x*y**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/25 - (-98028)\/35. Let b = s + -82. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4*y - 10 = 0, 0*y + 6 = -f - y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.07 - -1.03. Let l = 5 - g. Suppose -5 = -f - 4*f. Which is smaller: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f. Suppose 5*l = -f*l + 150. Suppose 5*d - 5 = l. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-18) - 3\/(-42) - 81454365\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*x - 8*x**3 - 8*x**3 + 15*x**3 + 22*x**3 wrt x?\nAnswer: 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191794528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/((-2400)\/(-125)) - ((-8)\/3 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(125) + sqrt(125)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72209790 - 4*c**2 + 72209790 + 2*c**2 + 19*c**3 + 2*c**2.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhwwwhn. Give prob of sequence nn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 5*w**2 - 10*w - 9. Suppose -2*y + 4*y - 23 = -5*u, 2*u + 2*y = 8. Suppose u*j = 38 + 2. What is the remainder when s(-6) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0038682 rounded to 5 dps?\nAnswer: -0.00387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/3)\/((-8)\/(-12)) - -3. Let b be 6\/54 + (-10)\/90. Solve o*w - 8*w + 6 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + 6. Let f = i - 15. Let p be f\/2*7\/49. What is the closest to -1\/4 in -2\/13, 0, p?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.102 + 0.102. Let j = 44 - 16. Let l = j + o. Sort l, 0, 5 in decreasing order.\nAnswer: 5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 71. Let x(o) be the first derivative of 0*o + 0*o**4 + 2\/5*o**5 + 0*o**2 + c - 2\/3*o**3. Find the third derivative of x(a) wrt a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*(sqrt(2736) - (sqrt(2736) - ((sqrt(2736)*-2 - sqrt(2736)) + -5))**2 - ((sqrt(2736) + -1)*1 - sqrt(2736))).\nAnswer: 5616*sqrt(19) + 525600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(1700) + sqrt(1700) + -1.\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7860466 is divided by 6443.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14620.817 - -0.11.\nAnswer: -14620.707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -71836992*w**4 - 97511265.\nAnswer: -287347968*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.45 in -7, -108, -3, 0, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 8 = 5*j, 3*d - 1 = 2*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 36 + 95)*(2*h**2 - 2*h + 2*h) + 3*h**2 + 3*h**2 - 4*h**2.\nAnswer: 208*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18970*h = 3*w - 18979*h + 180, 140 = -3*w + h for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(75\/1650). What is the remainder when 166 is divided by 9 + 2 + (13 - d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 3, g: 1, q: 3, h: 2, l: 1}. What is prob of picking 1 g and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181*j*z**2 - 2*j*z - 386 wrt z.\nAnswer: -362*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 108 and -5640044.\nAnswer: -5639936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 divided by -8?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 75*b + 9 + 485*b as l + f*b and give f.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6418*i**2 - 266*i - 11. Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(77)\/(-2*sqrt(7)))*-4*-1)**2.\nAnswer: -48*sqrt(11) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 282.923, 2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*l**3 + 5808*l**2 - 6423*l + 642.\nAnswer: -3*(l - 214)*(l - 1)*(9*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 866*g - 870*g + 3*i + 21, 4*i = -5*g + 34 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 134, 303, 544, 863, 1266, 1759?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**2 + 1119*y - 4460 = 0.\nAnswer: 4, 1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3899, 14929, 32051, 54227, 80419, 109589, 140699?\nAnswer: 172711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/108 + b**5\/45 + b**4\/36 - 19*b**3\/6 + 41*b**2. Let w(u) be the first derivative of s(u). Factor w(n).\nAnswer: -2*(n - 1)*(5*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -25*y**3 - 2*y**2 - 69*y - 132. Let t be x(-2). What is the highest common divisor of 54 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5 + f - 108*f**2 - 4 + 107*f**2 - 2*f**3. What is o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11932342?\nAnswer: 2, 19, 101, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m**2 + 0*m)*(148 - 148 - 12*m**2 + 4*m) to the form q*m**2 + s + l*m + w*m**3 + u*m**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -168 - -171. Suppose 8*c - 6*c - 3*d - 3 = 0, k*c + 2*d - 11 = 0. Solve 3*y + 3 = 0, -3*y = 3*z + 6 - c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 - 400 + n**2 + 197.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 10 - 4*h**2 - 8*h - h**2 - 1 + 8. Let k be (-5 + 11)\/((-2)\/3). Let y(l) = l**2 + 2*l - 4. Determine k*y(q) - 2*i(q).\nAnswer: q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**41\/(i*i\/i**0)**(-22) assuming i is positive.\nAnswer: i**(302\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 + -163. Suppose -9496 = -l*g + 264. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -i + 3*f + 3, -3*i + 5*f = -9. Suppose -2*v = 5*s - 33, i*v - s - 7 = -0*s. Solve -n = 3*n - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o - 61*o + 116*o + 24.\nAnswer: -10*o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2773 - 1492. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53939952 to the nearest integer?\nAnswer: 7344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 661052 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*u**2 + 1)*(-u + u + 2*u) + (9 + 2*u**2 - 9)*(-u + 3*u + u).\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 55*a**4 + 525*a**3 + 3375*a**2 = 0. What is a?\nAnswer: -15, -5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -344313 (base 5) to base 2.\nAnswer: -11000010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, -1, 2\/17 in ascending order.\nAnswer: -1, 2\/17, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*p**2 + 5*p**2 - 3)*(4*p - 1 + 1) - 124*p**3 - 55*p**3 + 40*p**3 to the form b + s*p + o*p**3 + h*p**2 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673 divided by -4.\nAnswer: 1673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09999958 - -0.1. What is x rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*g + 815, 4*g - 977 = -2*d + 713. Suppose 3*z + 10*c = 14*c + 815, -c + d = 3*z. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360*t**2 + 361*t**2 + 13*t + 35*t - 54*t + 6*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4576)\/(-832))\/((-10)\/(-4) + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2965417?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/5 + 14*a**3\/5 - 72*a\/5 = 0.\nAnswer: -2, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 829 divide 6640851565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3643\/6 - 1820\/3. Which is the third smallest value? (a) n (b) 0.21 (c) -0.1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 2257.\nAnswer: 180.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*o - 34*o + 4*x = 32*o - 43, 139*o - 5*x = -963 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**6\/15 + 13*a**5 + 924*a**4 + 73568*a**3\/3 - 170368*a**2 + 830*a. Solve t(p) = 0 for p.\nAnswer: -44, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 15. Let b be y(12). Let x be b*(2\/6 + 0). Let s(c) = -3*c + 1. Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*k = 112*k - f - 34, 11*k + 0*f + 5*f + 112 = -14 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 + 8 - 42)*(5*b**3 + 3*b**3 - 4*b**3) to y*b + a + s*b**3 + q*b**2 and give s.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 31 = -6*p - 5*z, 5*z = p - 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10420, 2\/5 in ascending order.\nAnswer: -10420, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:06 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 + m**2 + 2*m. Let u be r(-1). Let o(k) = k**3 + 6*k**2 - 2*k - 13. Let d be o(u). Does 16 divide -8*(-24)\/(3 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 1\/360*m**6 + 4*m**3 + 5\/12*m**4 + 1\/120*m**5 + 0*m**2 + 50 + 0*m. Let n(u) be the third derivative of v(u). Determine n(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 992113 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*z - 557*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 308\/(-336)*(-18)\/66. Let k = 797\/4 + -193. Determine s, given that k + a*s**2 + 5\/2*s = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/4 + 855*w**3\/4 - 5049*w**2\/4 + 7533*w\/4.\nAnswer: -3*w*(w - 279)*(w - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2753916*c*s**2 + 17733*c*s + 393*s wrt s?\nAnswer: -5507832*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 376\/16 - (-6)\/(-4). Suppose 22 = -u*s - 0*s. Which is the closest to 2? (a) 1 (b) s (c) 20 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37\/57 + -6\/19. Let d = -2 - 2. Let k = 59 + -237\/4. Put d, k, t in decreasing order.\nAnswer: t, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356352 and 241152?\nAnswer: 55947264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(44)*1)\/((sqrt(16)*2)\/sqrt(4)) - ((sqrt(396) + -2)*-5 - ((0 + sqrt(396))*3 + sqrt(396))))**2.\nAnswer: -1100*sqrt(11) + 33375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438 + 938 = -125*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*r = 241, 27*r - 31*r = 3*m - 761. What is the remainder when m is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*m + m - 9*m)*(4*m - 4*m + m)*(-3 - 3*m + 3) to the form u*m**3 + z*m**2 + a + l*m and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2132 = 2080. Solve -4*y + x = -b, 3*b - 4 = -y + 4*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a6 + -141?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2628.741?\nAnswer: -2626.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -97. Let y = -22 - j. Let l = -8 - -4. Sort y, -1, l in decreasing order.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c. Let k = -2 - 1. Let d = c - k. Calculate the remainder when 7 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, m: 2, a: 2, x: 2}. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + -34 + -2 + 1. Let u = -27 - b. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6820683 + -0.6827. What is l rounded to five dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-14))\/(92\/(-322)). What is the common denominator of (-75)\/(-153) - 4\/i and -5\/3?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 3*x = 13*q + 21, -2*x + 3 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 944\/5 + -10404\/55. Which is the closest to -3? (a) -3 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from vvkkkvkvvkvvcak?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z. Let c be 7 + (830\/24)\/(-5). What is the smallest value in c, z, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*l - 9*l. Let n be l + (-2)\/3*9\/6. Suppose -u - 4 = n, a - 4*u - 39 = 0. Which is smaller: 20 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*(-52)\/(-117)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*r - 48*r + 45. Let n = -75 - -80. Solve -5*p = -2*d + 16 + r, -2*d - n = 5*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + z**2 - z + (77 + 43*z - 77)*(-3*z - 2*z + 4*z) + 4 - 3*z**2 + z**2 - 2.\nAnswer: -44*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -58, -83, -106, -127?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o. Let q(p) = -2 - 5*p**2 + p**2 + 4*p - 2*p + 0*p**2. Let k(d) = -d**2 + d - 1. Let j(u) = -2*k(u) + q(u). Give v(j(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from wsxaawv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1198 + -1198. Which is the nearest to l? (a) 5 (b) 0 (c) 30 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**2 + 8. Let r(y) = -y**2 - y**2 + 1 + y**2. Suppose c + 3*b = 11 + 6, c - 4*b = -4. Let f = -80 - -79. Give c*r(h) + f*t(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 57 = 6*k - 4*x, -58 = -2*k - 4*x. Let h = k + -14. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 0 = -8*c + 11*c. Solve c = a + g*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -148*w**7\/21 - 190*w**3\/3 - 338*w. Find the second derivative of k(l) wrt l.\nAnswer: -5920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 706971570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/8 and 77\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1583\/2 or 793?\nAnswer: 1583\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2. Let j(s) = -2*s**2 - 10. Let p(f) = f**2 - 1. Let n(k) = j(k) + 4*p(k). Give n(z(i)).\nAnswer: 2*i**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404 - -403.9. What is the nearest to i in -1\/3, 0.01, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 0 + sqrt(19) + -5.\nAnswer: -4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 - 10 = 0. Suppose -2*h - 3*h + 10 = 0. Let f(n) = -n**3 + 6*n**2 + 6*n + 3. Let m be f(7). Put m, h, i in ascending order.\nAnswer: m, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 433 = 5*t, t = -2*t - q + 251. Suppose 4*y - t = -5*x, x + 4*y + 17 = 2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = 14. Let p = 10 + i. Let r be 9\/(-11) + p - -2. Which is the closest to 0.2? (a) 2 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16194 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-50)*3*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9*s = -2*u - 24, 0 = 2*u + 8. Solve 4*b - 2*r = 12, -2 = -2*b - s*r + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 - -12 - (-97 + 148).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*d - 89693 - 43345. List the prime factors of d.\nAnswer: 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770447.\nAnswer: 17, 257, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w. Let b(i) = -2*i**2 + 314. Calculate b(v(c)).\nAnswer: -8*c**2 + 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-25)\/((-2025)\/(-1998))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m - 1. Let u(q) = 402 - 2*q - 2*q**2 - 412 - 2*q + 3*q**2. Let t be u(-2). Give z(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.00482 tonnes to micrograms.\nAnswer: 94004820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 569929 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: In base 7, what is -6 - -3515?\nAnswer: 3506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158\/5 + -1753\/55. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -5 + -11 - -10) + 7 - (3 + -52).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 + (-4 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 2, j: 9, k: 1}. What is prob of sequence gk?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1103 - 1066. Calculate the greatest common divisor of 74 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230775170.\nAnswer: 2, 5, 17, 47, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12 - ((1 - 3) + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5100 + -61129\/12. What is the common denominator of x and (-2)\/(-4)*(1480\/84)\/(-10)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1067 + 53. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*p - 20, -4*p - 6 = 2. Let a(h) be the second derivative of h**4\/12 - 3*h**3\/2 + 3*h**2 + 9*h. Determine a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Is 8\/(-12)*x + 129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -23. Suppose 0 = -y*b + 4*b + 39. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11 = 3*l, r - l = -0*l - 3. Let x(t) = -9*t + 12. Let u be x(r). What is the highest common divisor of 96 and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 4 - 4)*(4 + 0 - 6 + (1 - 1 + 2)*(17 - 15 + 14) - 1 + 1 + 1) in the form x*c + g and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -91. Let x be (r\/3)\/(0 - -1). What are the prime factors of 4\/x - 21\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 27 + 14*g**3 + 10.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.3 (c) -4 (d) -0.1 (e) -6 (f) -82\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 67 from 14.62.\nAnswer: -52.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z = -43*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 34. Let j = 26 - m. Solve 0 = 4*v + u + j, 2*v - u = 3*u - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) - (sqrt(57) + (sqrt(912) + sqrt(57) - sqrt(57)) - sqrt(57))*-4 - (3*sqrt(285))\/sqrt(5))\/((sqrt(1152)*-1)\/(sqrt(72)\/(sqrt(36)\/sqrt(3)))).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gccc. What is prob of sequence cgc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r**2 - 2. Let d(o) be the third derivative of o**4\/12 + 36*o**2 - 2*o. Calculate m(d(y)).\nAnswer: 20*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 65586.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1638, -1970, -2302?\n\"Answer: -332*p - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*l**3 + 1591*l**3 + 388*l**3 - 388*l**3.\nAnswer: 2577*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 53*i - 20. Calculate u(2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x - 5*x**2 + 9*x + 12*x - 14 + 4*x**2. Let l be j(16). Suppose 23*d - 182 + 113 = 0. Solve d*o = l*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -734 - -10a?\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.8 (b) 119\/134 (c) -0.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 490 = 16*v + 3*o, -v + 2*o = -70. Solve -265 = v*u + 295 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 322?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -156231 - -237834. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 3*r - 14. Let v(f) = 3*f**2 - 5*f - 11. Determine -4*a(u) + 5*v(u).\nAnswer: -u**2 - 13*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -173.1. Let v = 153 - 152. Which is the closest to v? (a) 5 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*s + 15, s + 19 = 85*t - 90*t. Sort 2, -4, 38, t, -12 in decreasing order.\nAnswer: 38, 2, t, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5\/3 - 10*j**4\/3 - 34*j**3\/3 - 52*j**2\/3 - 37*j\/3 - 10\/3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/100)\/((-33)\/(-176)*-20)?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*r + 4*r - r + (-4 + 3 + 0)*(-5*r + 0*r + 3*r) to q*r + n and give q.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 2:29 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303899 and 15747?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1845 - 0.1838514. Round s to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 24*n + 51 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -14 + (15 - -11 - (14 + -2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275811*k**2 - 551597*k**2 + 275772*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t - 5642 = -58*t. List the prime factors of t.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-36))\/(864\/(-3888))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 7357213?\nAnswer: 7357211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7022*o**2 - 3 + 2 + 7474*o**2 + 0*o**2 - o**2 + 3*o**2 + (-4 + 4 + 2*o)*(-4 - 2*o + 4) as k + m*o**2 + r*o and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000367 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 548123159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3.1, -2, 514, -0.5 in decreasing order.\nAnswer: 514, 4, 3.1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 153417.3 rounded to the nearest one hundred?\nAnswer: 153400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5044, 5042, 5038, 5032, 5024, 5014?\nAnswer: 5002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 148, 219, 290, 361?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31849*u - 125704*u + 31702*u + 31379*u + 31417*u.\nAnswer: 643*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 587*b**3 + 580*b**3 - 1084*b**3 - b + (-6 + 1 + 4)*(-5*b + 2*b**3 + 5*b).\nAnswer: 81*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -ace8d1 (base 15) to base 16\nAnswer: -7de480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162) + sqrt(162) + (sqrt(162)*-1 - sqrt(162)) + sqrt(162))\/sqrt(9))\/(((sqrt(192)\/sqrt(4) - sqrt(48)) + sqrt(48))\/sqrt(8)).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 19*h**3 - 7*h**2 - 5*h. Let r(f) = -6*f**3 + 4*f + 2*f - 4*f**3 - 3*f + 4*f**2. Let s(m) = 4*o(m) + 7*r(m). Find the second derivative of s(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u**(-11\/2)\/u))\/u*(u\/(u\/(u**(-7\/6)*u)))\/u*u assuming u is positive.\nAnswer: u**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3*i**3 + 7*i**3 - 3*i**3) + 2 + 19 - 75*i**3 + 72*i**3.\nAnswer: -i**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2. Let a(z) = 5*z - 22*z + 14*z + 4*z. Calculate a(y(p)).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4. Let v be ((-2 - -3) + -1)\/2. Let g = k - v. Solve 0*w + 16 = -4*w + g*y, 2 = -5*w - y for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2\/4 - 110253187*i\/2 + 12155765243656969\/4 = 0.\nAnswer: 110253187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.308 - 0.308. Let q = 3.7 + -0.7. Let s = 5 - q. Sort -4\/3, f, s.\nAnswer: -4\/3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6282 + 6277. What is the second biggest value in 2\/9, y, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:06 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -2, -4\/36667, -0.4, -1 in increasing order.\nAnswer: -2, -1, -0.4, -4\/36667, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 6. Let m be w(7). Let n = m - 12. Let o = n - -3. Sort o, -4, 3 in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 15. Let n be p(-7). Suppose i - 4*i - n = 0, -5*i - 511 = 3*w. Let h = 252 + w. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 12*g + 28. Determine w(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/((-10)\/4))\/((-6)\/(-12)). Suppose -w*v = -11 - 149. Let r = v + 78. List the prime factors of r.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3472 - 2752. Calculate the lowest common multiple of 40 and g.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/18*5\/((-20)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 33. Which is smaller: -51 or j?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 535992*o**2 + 1071972*o + 535984.\nAnswer: 4*(o + 1)**2*(o + 133996)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11910146 to the power of 1\/2, to the nearest integer?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/8 + 1\/8. Let q = 15 + -19. Which is the closest to -5? (a) q (b) -1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 43. What is the least common multiple of i and 693\/42 - 1\/2?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091228 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -26 - 8 + 25 - 38*t - 85. What is the units digit of l(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 21*l - 5. Let g be f(10). Let s(z) = -3*z + 6. Give s(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44, 510, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(2\/25)*n*n**(24\/13)\/n*(n**(-45))**(-1\/25) assuming n is positive.\nAnswer: n**(1809\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -1145*y**3 + y**2 - 2*y - 2. Let s be d(-1). Let h = 109 + s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -7 - 4*t - 1\/5*t**5 + 7\/3*t**3 + 0*t**2 - 1\/3*t**4. What is the second derivative of r(c) wrt c?\nAnswer: -24*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 313 + -295 - (-1 + -8)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 114. Let a be (6\/(-8))\/(446\/(-64) + 7). What is the lowest common multiple of q and (-1 - 111\/a) + (-3)\/(-8)?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = -3*x + 4*x, 4*x = 3*a + 50. Suppose 10*z + 22 = x*z. What is the smallest common multiple of z and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (sqrt(45)*4 + (sqrt(500) - (1 + sqrt(500))))**2 - (-5 + -2 + sqrt(605) + 0)**2*1.\nAnswer: 69 + 130*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/4)\/(1\/(-90)). Suppose 3*z + 41 = 2*i - 28, 3*z + s = 4*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -0.089, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 3, -385, -20, -4 in ascending order.\nAnswer: -385, -20, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-1835.\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 10798896.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -31, -8564 in descending order.\nAnswer: -4, -31, -8564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 680*h - 204 wrt h?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1617, -2713, -3813, -4917, -6025, -7137, -8253?\nAnswer: -9373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10427 and 5734850?\nAnswer: 5734850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -104*c + 519. Let w be t(5). Let y(p) = -8*p. Let m(i) = i - 1. What is w*y(n) - 5*m(n)?\nAnswer: 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 25. Is -1 + w + 0 + 296 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4881 + 4.890079.\nAnswer: -4876.109921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z + 7. What are the prime factors of h(13)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*z - z - 2*v, -9 = -4*z - v. Let q(f) = -5*f + 124. Let w be q(25). Put 4, w, z in ascending order.\nAnswer: w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/36*-13*1813\/637.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6441 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12751087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33747, 134953, 303633, 539787, 843415, 1214517?\n\"Answer: 33737*l**2 - 5*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -50, 0.2, 0, -1 in ascending order.\nAnswer: -50, -1, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/13)\/(n\/((((n*n**(2\/37))\/n)\/n)\/n)*n*n*n))\/(n*n**(2\/31)*n*n**(-4\/5)))**23 assuming n is positive.\nAnswer: n**(-13155678\/74555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 4*v - v**3 + 2*v + 7*v + 4. Let x be z(-5). Suppose -5*m - x*k + 105 = -2*k, -2*m + 5*k = -71. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*q - 4269 = 0, 2*q = -2*t + 3*q + 2834. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(16\/224*14)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 434\/9. Let w = 59833\/1786 + -1\/893. Let h = 33 - w. Which is the nearest to h? (a) n (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3*z**4 + z**4 - 6*z**4) + z**2 + 2*z**4 - z**2 - 8590*z**4 + 1242*z**4 + 212*z**4 - 2889*z**4.\nAnswer: -10027*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.2 (b) -6\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5634 and -69\/11661754?\nAnswer: 104955786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c + 2. Let x(y) = -9*y + 5. Let f(r) = 5*o(r) - 2*x(r). Let v(n) = -33 + 872*n + 33 - 874*n. What is v(f(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-114)\/(-4)*(-16)\/6. Let q be (-3 - 0)*k\/(-12). Let s = -12 - q. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49 + 189*u - 331*u - 531*u + 797 + 33 wrt u.\nAnswer: -673","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -62*j + 5. Is x(-1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**5\/60 - 35*q**4\/12 + 24*q**3 - 9*q**2 - 178*q - 2. Factor y(i).\nAnswer: -(i - 2)*(i + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 92. What is the second biggest value in -376, f, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48226381.\nAnswer: 7, 6889483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(448))*-5 - ((sqrt(168)\/sqrt(6))**2 - (3*sqrt(7) + sqrt(7))**2*-3).\nAnswer: -356 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 9*s + 4. What is the lowest common multiple of ((3 - (-53)\/8) + 6\/48)*8 and w(11)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -5\/4 (c) -0.12 (d) -3 (e) -542 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 26*o + 61. Let b be n(22). Sort 7, b, -2 in increasing order.\nAnswer: b, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11 = -7*r + 10*r, 3*y + 21 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4912 divided by 4.\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3. Let t be z*(1 + (-3 - -5)). What is the derivative of 5*o**3 + 3*o**4 - 4 - 5*o**t wrt o?\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 - 306*n**4 - 5208*n**3 + 5826*n**2 + 5211*n - 5520 = 0.\nAnswer: -80, -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 683, 1038?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 3. Let n be z(-3). Suppose 2 = -f - n. What is the biggest value in 0.1, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20403 divided by 9?\nAnswer: 2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.804886 days to weeks.\nAnswer: 1.400698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 24.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o - 5*t, 2*o - 19 = -4*t - 5. Solve -17 = 3*f - o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 9*a**2 - 16*a + 12. Let t be 225\/60*20\/(-15). Determine k(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 11:55 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 2*a = 0. Factor -1\/6*f**4 + 1\/6*f**5 + 1\/6*f**2 + 0*f - 1\/6*f**3 + a.\nAnswer: f**2*(f - 1)**2*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -91*y**2 - 1732*y - 23. Let o be c(6). Is o greater than -13692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-10) + (-1698)\/(-30). Calculate the highest common divisor of r and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 15 (b) 5 (c) -0.5 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18725910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 102. Suppose 13*c = 9*c. What is the hundreds digit of x(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/59 - 15*(-78)\/(-34515).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide ((-1442)\/(-98) + -1)*511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1331) - (4 + sqrt(1331) + -1) - sqrt(1331)) + 3*-2*sqrt(1331) - (-3 + (sqrt(1331) - -1*sqrt(1331)) + sqrt(1331) + -2))**2.\nAnswer: -133104 + 440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -49. Suppose -15*k + l*k = 0. Let q(h) = h**2 - h - 5. Determine q(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132 or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 t when three letters picked without replacement from lltltltlz?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1966 and -129.713.\nAnswer: 1836.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9654.\nAnswer: 2, 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + -14 - -10) + -20 + (-2 - -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*m = 8*m + 9084 - 62520. Solve -m = 6*n - 250 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92\/15 + 2987\/240. Find the common denominator of j and 44.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = y - 3*j, 5*y + 4*j + 14 = 54. Suppose -o - y*n = 3*o + 176, -4*o - 3*n - 171 = 0. Let w = o - -58. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and 67\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - 87) + (-97 - -108)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 + 119\/6*a**3 - 25*a + 233\/2*a**2. What is the first derivative of y(z) wrt z?\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 2*s + 0*s)*(-61 + 2*s + 61 + (0 + 1 + 1)*(1266 + 84*s - 1266)).\nAnswer: -340*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let g be (d + -3)*(1 - -62). Let x be (g\/(-15))\/((-1)\/(-5)). Solve 0*m - j + 6 = -m, -5*m - 4*j = x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 6*a - 3. Let t be q(-7). Suppose -t*s + 2*s = -2. Suppose s = -6*z + 43. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 4*z + 0*z. Let g = 2 + 2. Let c(s) = 2*s**2 + 3*s + 3. Let t(a) = a**2 + 2*a + 2. Let v(u) = g*c(u) - 6*t(u). What is b(v(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 + 30*p**3 + 5255*p**2 + 5220*p.\nAnswer: -5*p*(p - 36)*(p + 1)*(p + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**4\/2 + 84*f**3 - 255*f**2 + 256*f - 171\/2 = 0.\nAnswer: -171, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 1)*(6 - 2 - 3 + (0 + 0 - 2)*(0 - 3 + 4) - 11 + 13 + 23)*(-2*l + 5*l + 5*l + (6 - 1 - 3)*(0*l + 3*l - l))*(1 + 0 + 1).\nAnswer: 1728*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 316531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/3)\/(-1 - (-4 - -4)). Let q = -0.7 - -3.7. Which is the third biggest value? (a) 0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - 10 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 12*y**2 + 21*y - 42. Give q(13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-2093)\/(-690) - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1*-62) + 0. Suppose -136*k = -142*k + 900. What is the greatest common factor of g and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/9 - -5\/9. Which is smaller: s or -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/1497?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 727. Let k = g + 389.2. Put 0.3, k, -3\/4 in increasing order.\nAnswer: k, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 5, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2051042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*q + 469*q = 139*q + 27335 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqqiqiqqq. What is prob of picking 4 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -371 and 0.079.\nAnswer: -370.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.16 - -0.76. Let o = -13 + 15. Let g = 0.05 + 4.95. What is the nearest to -0.4 in o, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23668273 and 30748?\nAnswer: 7687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30\/(-9))\/(6\/9). Let z(b) = 7*b**3 + 10*b**2 - 11*b - 15. Let p(m) = -4*m**3 - 5*m**2 + 7*m + 8. Let o(r) = 5*p(r) + 3*z(r). What is o(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5 - 394\/(-60)) + -5. Put p, -2\/67, 5 in increasing order.\nAnswer: -2\/67, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emi when three letters picked without replacement from {e: 2, i: 2, m: 1, y: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -19)\/6 + 46. Suppose -32*t - 7704 = -j*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 66 - (-5 + -11 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*z**3 + 5*z**2 - 33*z + 11284?\nAnswer: -51*z**2 + 10*z - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 1, b: 1, x: 3, e: 2}. Give prob of sequence tb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 2. Let x(t) = -t**2 + 6*t + 3. Let q be -4 + (13 - (-42)\/(-7)) + 0. Give q*v(c) - 2*x(c).\nAnswer: 2*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 3*x - 148. Let t = x - 37. Solve 20 = -t*a + 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -79737, -318708, -716975, -1274538, -1991397, -2867552?\n\"Answer: -79648*w**2 - 27*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120737*d + 103788 wrt d?\nAnswer: -120737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -835 + 835.1. Sort p, -0.4, 4, 2\/95 in descending order.\nAnswer: 4, p, 2\/95, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3361477*b**3 + 48513529*b wrt b?\nAnswer: -20168862*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -115990 (base 12) to base 2\nAnswer: -1000100010000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00215763841 rounded to six decimal places?\nAnswer: 0.002158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.96794 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)*q**(5\/6))\/(q**1\/(q\/(q*q**6)*q*q)) assuming q is positive.\nAnswer: q**(-119\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 187\/403 + -12\/31. Is 1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7624467 (base 10) in base 7?\nAnswer: 121543524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, u: 1}. What is prob of sequence aa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 1:14 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1152767976\/7 and 164681140 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose 0 = 5*i - r*u + 2, i + 4*u = u - 14. What is the nearest to 0 in -0.1, i, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3964, 3961, 3956, 3949, 3940, 3929?\nAnswer: 3916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**7\/126 - m**6\/9 + m**5\/5 + 29*m**4\/18 + 35*m**3\/18 + 5048*m. Solve w(c) = 0.\nAnswer: -1, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - q + 1. Let z(y) = -y**2 - 2*y + 2. Let i be -3*1 + (7 - 2). Determine i*z(l) - 3*k(l).\nAnswer: l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i = 83*i - 60. Is 9 a factor of (437\/3 - 20\/i) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/b**(-6))\/b))\/((b\/(b\/(b\/b**(-2\/17)*b)))\/b))**(-4\/15))**(4\/9) assuming b is positive.\nAnswer: b**(1664\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30860*c**4 - 69795 wrt c.\nAnswer: 123440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 763759?\nAnswer: 17, 44927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -38923*u. Let j(q) = -14*q**2. Determine m(j(c)).\nAnswer: 544922*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {g: 2, n: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09873296 and 2.\nAnswer: 2.09873296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**6\/120 - 7*n**5\/60 + n**4\/3 + 4*n**2. Let w be m(-8). Solve 4*t + 16 = -w*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 175422, 1, 3.\nAnswer: -87, 1, 3, 175422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 16*z - 41. Determine q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4))\/f*f**(-4\/9)*f*(f**(-1))**41*(f**(1\/2))**8*(f*f\/(f*f**(-2\/5))*f*f)**5 assuming f is positive.\nAnswer: f**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 35 + 13. Let r = -11 + d. Let u = 9 + -46\/5. What is the second biggest value in r, u, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(-2)\/(-8)*-2. Let c(x) = x**2 + x - 3. Let d be c(4). Solve o*y - d + 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*v**2 + 792*f**3*v - 2109122*f**2*v**2 + 26*v - 9 wrt v?\nAnswer: 4*f**3 - 4218244*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1065 + 1069. Let k = 7 - 2. Find the second derivative of -10*v + 8*v**n + k + 4 - 9 wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 2*s - 1. Let z(w) = w**3 + 10*w**2 + 32*w - 122. Let p(r) = 2*a(r) - z(r). Let o(x) be the first derivative of p(x). Factor o(u).\nAnswer: -3*(u + 2)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 8*o + 0*o + 22*o**2 - 23*o**2 - 3*o**3 + 3*o**4 - 58 - 2*o to the form y*o**3 + n*o + d*o**4 + v + t*o**2 and give v.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + o - 2. Suppose 0 = r - 6 + 2. Let g be i(r). Let y be (-6)\/4*8\/(-42). What is the third smallest value in g, -0.2, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*t = -120, u + 3*t + 0*t - 21 = 0. Let q be ((-12)\/u)\/((-4)\/6). Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20195913.\nAnswer: 3, 199, 33829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/(-27)*18\/5. Let v = l + 16. What is the second derivative of -7*a + 0*a**3 + 0*a**3 + 8*a**v - 13*a**4 wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -1\/66*u**4 + 1\/231*u**7 + 13 - 1\/22*u**5 + 1\/165*u**6 - 4\/11*u**2 + 4*u + 8\/33*u**3. Suppose v(w) = 0. What is w?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.142 and 15949482.\nAnswer: 15949482.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4692 - -4697. Solve 0 = k*m - 45 + 40 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - 3*x**2 + 6*x**2 + (0 - 4*x + 0)*(0*x + 0*x + 3*x) - 5*x**2 + 0*x**2 + 4*x**2 to z*x + v + a*x**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -51098760 and -51098766 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 2:11 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22774976 by 14.\nAnswer: -1626784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14791251 + 14791252.9000161. Let n = 0.6 + 1.3. Let m = n - y. What is m rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 1. Let a(k) = -2*k + 1. Let h(v) = -45*v + 18. Let z(m) = -15*a(m) + h(m). Determine -11*c(j) + 6*z(j).\nAnswer: -2*j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 - 24*i**4 - 36*i**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = -1045*h + 2080*h - 1047*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1026*h**2 - 2495*h**6 - 1057*h**2 - 1002*h**6 + 856*h**6 wrt h.\nAnswer: -316920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3286.008 millennia?\nAnswer: 3286008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001451595 rounded to five dps?\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/3)\/6*(-8)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 39520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135861 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.657625 to 1 dp.\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3163441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28955?\nAnswer: 5, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcmkkcc. What is prob of picking 3 k and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2653.559761 - 90.360143. Let l = -2744 - w. Let y = l - -0.08. What is y rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493413842019+-1.57\nAnswer: -493413842020.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*g + 17. Let w = -6 + g. Solve 5*q - p + 15 = 0, 0 = -6*p + w*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = 5. Let w be 3\/(-5) + 17\/(-5). Let i(b) = -2*b - 5. Let p be i(w). Put p, 1, c in increasing order.\nAnswer: 1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/13 equal to 0.1657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 15 = -13*x, 5*u - x = 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118149 by -4.\nAnswer: 118149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 7 + 13. Let u(i) = 3*i - 6*i**2 - 2*i**3 + 7 + d*i**3 + i + i**3. Determine u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 347*u + 397 wrt u.\nAnswer: 347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -99, -1, 8615.\nAnswer: -99, -9, -1, 8615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21934183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -790017*p - 704842.\nAnswer: -790017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -8.8. Let l = k + 0.2. What is the second smallest value in l, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 16*v**2 + 4*v + 4. Let q be g(-9). Let j = -136 - q. Calculate the remainder when j is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -261. Let x be 5\/(w\/55 + 4). What is the common denominator of -103\/14 and 22\/x - (-1054)\/60?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84003, 83881, 83759, 83637, 83515?\nAnswer: 83393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65148563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 401*i + 9. Let q(b) = -804*b - 21. Let j(l) = -13*c(l) - 6*q(l). Differentiate j(r) with respect to r.\nAnswer: -389","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/12 and 209\/420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 3936*y**2\/7 - 138780*y\/7 + 1240272\/7.\nAnswer: -3*(y - 1276)*(y - 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*a**2 - 3254*a**2 + 1147*a**2 + 1149*a**2.\nAnswer: 334*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) - sqrt(180)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Solve 2 = u - v, 3*u - 1 = -2*v - d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -164*(-3 + (-20)\/(-8)). Let f = h - 43. What are the prime factors of f?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.447 - 4141\nAnswer: -4140.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - 1.15. Let k = 0.08 + w. Which is bigger: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 5 (c) -6 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13156 divided by 92?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2229 equal to -2327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-75)\/(-15))*14\/(-2303).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 13*i - 27. Let x be d(10). Suppose 9 + 27 = x*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0284450459 to four dps.\nAnswer: 0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9332 + 18095. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 337.\nAnswer: 5\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + r + 6. Let t(w) = -4*w**2 - 5*w - 10. Let d(g) = -3*g**2 - 6*g - 9. Let s(i) = 3*d(i) - 4*t(i). Calculate -13*q(h) + 6*s(h).\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82 and 54309?\nAnswer: 4453338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 521829102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14340413 + 0?\nAnswer: 14340413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvfvvfvvvvvvfvfv. What is prob of picking 3 f?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 4*j + 1. Let o be 14*(1 - 0 - 0). Suppose -o*w + 18 = -8*w. Give m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from ddaetptfetfa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 3. Suppose 2*l - 6*l - 3*z = -84, 2*l - 5*z = 42. Let y = q + l. Calculate the remainder when 41 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.83 + -3191.83. Let c = 3123.139 + l. What is c rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 24. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000058884 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000307356877 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4104 and 139\/119016.\nAnswer: 119016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*(3 + 6\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5908, 11838, 17850, 23986, 30288?\nAnswer: 36798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Let w be (-4)\/22 - (1 - 1). Let r be 1\/2*4\/(-5). Sort r, w, x.\nAnswer: r, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4 + 1197\/15 + (-2)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2890, 2871, 2842, 2803, 2754?\n\"Answer: -5*a**2 - 4*a + 2899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 6*a + 4. Let h be z(7). Let y = -1 - h. Suppose -44 = -y*q + 2*d, 0*d = -3*d - 6. Solve 2*r + 3*r = -q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**3 + 4*m**2 - 2*m**3 + 2*m**4 - m**3 - 4*m**4 in the form i + h*m**4 + g*m + v*m**2 + w*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1801 and -1791 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:25 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 485*i + 2550 = 0 for i.\nAnswer: -102, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p - 1. Let n(d) = -3*d**2 + 4597 - 4597 - 6*d. What is n(q(z))?\nAnswer: -108*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5645 = 3*c + 5646, 5*c - 5*p = -25. Suppose -52 = -4*u - 0*u. Suppose 15 - 3 = -3*m. Sort 3, c, m, u in increasing order.\nAnswer: m, c, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2209 + 2209.000001077. Round u to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.39 in -7009, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262\/5 + 52. Put -3, n, -1\/12 in increasing order.\nAnswer: -3, n, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 7. Suppose 2*f = -x + 161, -x - z = 3*x. Suppose -5*n - q = -f + 7, 0 = n + 2*q - 15. Solve -j + n = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 1314871*c\/3 + 1314868.\nAnswer: (c + 3)*(c + 1314868)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**4\/12 - 3*t**3\/2 + 3*t**2\/2 + t. Let x(b) be the first derivative of -2*b**2 + b + 4. Calculate 5*x(m) - 2*y(m).\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l**6\/3 + 164*l**5\/5 - 512*l**4 + 7648*l**3\/3 - 5472*l**2 + 5184*l - 1462. Let q(f) = 0. Calculate f.\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1007 and 0.0585?\nAnswer: -58.9095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -0.6 (c) -0.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 90989*f + 91073*f + f**2 to the form x*f + i*f**2 + k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 0*k + 32*k**2 - 30*k**2 - 1 + 0 + 3*k. Does 19 divide j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 160. Let o = -19 + d. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257499016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1261673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - 14*c + 3*c - 119 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 169*v**7\/210 - v**5\/30 - 37*v**3\/6 + v**2 - 58. Find the first derivative of k(u) wrt u.\nAnswer: 676*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*p + 120*p + 196*p.\nAnswer: 273*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 2ac?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -176, -271, -370?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152502 = -2*f - 4*x + 152498, 18 = 3*f - 2*x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1480 + -1485. Which is the second biggest value? (a) t (b) -0.1 (c) 225 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -102 - 50. Let u = -143 - c. What is the highest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 207, 676, 1145, 1614, 2083?\n\"Answer: 469*r - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2274718 to the nearest ten thousand.\nAnswer: -2270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*b - 1 = 3, -3*b = 3*l + 9. Let h = l - -2. Suppose -4*i + h = 3*v + 7, -4*i + 3*v = -6. Solve 15 = -3*p - i*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47a + -4?\nAnswer: -47e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - 0.3. Let c = 187 + -74. Let p = c - 102. What is the nearest to p in w, -0.3, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + 2*g**4)*(2 - 2 + 2*g) + 92*g**5 + 100*g**5 - 30*g**5.\nAnswer: 166*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79599*v + 412 = -79564*v - 2*r + 91, 0 = 4*v + 2*r - 30 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97042677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.9 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 85, 145, 197, 223, 205, 125, -35?\n\"Answer: -3*f**3 + 23*f**2 + 2*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 6*f**2 + 11*f - 9. Let i be (-65)\/7 + (-18)\/(-63). List the prime factors of c(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = u + 1, -11 = u + 5*x. Solve 11*j + 2 + u = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k = 43*k - 3*r + 36, -48 = 4*k + 2*r for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 3*z - 24, 0 = -2*h + 5*z + 31. Let j = 10 + -6. Let w(f) = f**2 + 4 - f**h - 7*f + f**2 + j*f**2. Give w(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106135078 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 154*n**3 + 11*n**2 - 43*n. Let m(k) = 51*k**3 + 4*k**2 - 15*k. Determine -11*m(i) + 4*o(i).\nAnswer: 55*i**3 - 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3300 - -9902\/3. Solve 4\/3 - 2*p**3 - 2\/3*p**4 + 2*p - z*p**2 = 0 for p.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 98*m**6\/3 - 679*m**4\/4 + 61*m + 4. What is the third derivative of y(h) wrt h?\nAnswer: 23520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2 + 73*x - 101. Let j be o(13). Which is the closest to j? (a) 2\/9 (b) -2\/9 (c) -1\/2 (d) -251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -6\/7 (b) 377390 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*2*sqrt(99)*-4)\/((sqrt(900) + sqrt(900)*2)*5*-6).\nAnswer: 4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 23 = -3*d. Let q(v) = d - 4*v - 30. Let y(i) = -i. Let u(k) = -2*q(k) + 11*y(k). Let l(p) = -p**2. What is l(u(g))?\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 980*r = 984*r - 72. Solve 0 = 6*a - r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 2*r**2 - 3*r + 1. Let h be c(3). Let g(b) = 31*b**3 + b**2 - b + 1. What is the units digit of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 77121135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1. Let k(v) = 10*v**3 + 3*v**2 - 5. Let n(c) = -5*a(c) + k(c). Find the third derivative of n(j) wrt j.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 5. Let c(x) = -x**3 + 3*x**2 + 4*x + 1. Let p be c(4). What is the highest common divisor of q and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 531 and 6.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - k - 73 = 0, 7*s - 7*s = -4*s - k - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 3*t + 2*t + (1 + 1 - 1)*(-2*t + 4*t + 0*t))*(-t - 3 + 3 + (-3*t - 3*t + 4*t)*(-3 + 0 + 2) - 2*t + 4*t + 3*t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.395 + 0.27. Round k to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 408 = 5*r. Suppose 20664 - 20648 = 2*s. What is the highest common factor of r and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 58.2.\nAnswer: 58.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -125, -0.4, -5, -0.3 in ascending order.\nAnswer: -125, -5, -0.4, -0.3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6*18\/(-33). Factor -c*b + 0 - 2\/11*b**2.\nAnswer: -2*b*(b + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 60. Let a be g(4). Suppose 3*n - 111 = -o - 6, 0 = -o - a*n + 103. Calculate the remainder when o is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 8, r: 8}. What is prob of picking 1 m and 1 v?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 10 = 2*o, 11 = -3*o - 2*o - z. Which is the second biggest value? (a) 6 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8960\/3 + 40*g**4 - 1600*g + 620\/3*g**3 - 5\/3*g**5 - 1520\/3*g**2 = 0 for g.\nAnswer: -4, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Solve 5*r + 0*r = -n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -13*o**2 - 4*o + 56. Let d be s(5). Let j = d - -550. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-18 - -21 - (12 + 3 + 3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 + 6*c - 1. Let l(u) = -3*u**3 - u**2 - u + 1. Let v be l(1). Let a be t(v). Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390*i**2*u + 39*i**2 - 4305*i*u - 3*i wrt i.\nAnswer: -780*u + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -3 + (4 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 0 - 6. Let j(p) be the first derivative of -u - 1\/3*p + 1\/24*p**4 - 1\/4*p**2 + 0*p**3. Factor j(f).\nAnswer: (f - 2)*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2115 + 7138?\nAnswer: 10254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9414137 and -1.\nAnswer: -9414137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -18.8. What is b rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/20 - (-4)\/(-10). Let v be (-2)\/(0 + d)*-1. Suppose 4*u - 10 = v*u. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358721784 divided by -12.\nAnswer: 29893482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.215 - -1.815. Let x = k + -0.03. Let r = -0.3 - -0.5. What is the closest to r in x, 4\/3, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 6 + -7 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k + 43 = -57. Suppose s = 3*s - g - k, 5*s = 5*g + 10. Solve s = -5*l - 5*h + 45, -28 = -4*l + 3*h - 5*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/2, -8, 1\/8, 4636?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xnxx when four letters picked without replacement from nfxxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54017 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(36)\/sqrt(144)))\/((sqrt(756)*-6)\/sqrt(3))*-5.\nAnswer: 5*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 40*g**2 - 2*g - 40. Let f be w(-20). Which is bigger: f or 7\/64?\nAnswer: 7\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -73. Is 0 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/18 - 20\/9. Let q = 6\/17 + -37\/153. Let v = -0.3 + 0.4. What is the closest to 2\/5 in t, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122637.36 months to years.\nAnswer: 10219.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 8*w + 42 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 2:18 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 5*y**2 - 4*y**2)*(3 + 1 - 2) + (-2*y - 2 + 2)*(-y + 3*y - y).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5561 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(4\/5)*s)\/s*s))\/s**(-6\/5))\/((s*s\/s**(3\/8))\/s)**(-46) assuming s is positive.\nAnswer: s**(583\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -405 + 426. Solve -4*z - z + b = q, -z + 1 = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 2) + 7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + x - 2*x + 3*x)*(-15*x + 41*x + 33*x) to the form r + f*x**2 + j*x and give j.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Suppose -3*m - 19 = -4*m - 5*z, 4*m + 4*z - 28 = 0. Suppose -20 + 4 = -m*x. Solve 0 = -b + a*b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {o: 4, p: 2, v: 2, q: 8}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) 2\/3 (d) -2\/3 (e) 81 (f) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -5, 7, 20.\nAnswer: -5, -2, 0, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q**3 + 76626*q**2 + 122652*q - 61320 = 0.\nAnswer: -2, 2\/5, 5110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31.9 - -30. Let o = q + 2.1. What is the second smallest value in 3\/5, o, 7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7674.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 84 = 2*s + 3*s, -y = -2*s + 39. Suppose 2*n + 2*q - 111 = -3*n, -n = -q - s. Calculate the highest common factor of n and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2152*b - 2. Let q(x) = 13*x**2 - 12*x**2 - 12*x**2 + 14*x**2. What is q(j(t))?\nAnswer: 13893312*t**2 - 25824*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63832888 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/9, -4, -226221 in ascending order.\nAnswer: -226221, -4, -11\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = 5, r - 20 = -2*w. What is the tens digit of -2486*(w - 2)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1776 and -0.1?\nAnswer: 0.01776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-36) - -1)*3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m**2 - 5*m - 2. Let h = 14 + -10. Let v = h - 0. Give y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 47612 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -116\/9018619 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5835 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1 - sqrt(567)) + sqrt(7) + sqrt(7) + sqrt(14)\/(sqrt(8)\/sqrt(4)) - ((2*sqrt(14)*1)\/(sqrt(288) + -2*sqrt(288)))**2.\nAnswer: -43\/36 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.76374 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3 - 14*g**3 - 32*g**2 + 29*g**2 + 2*g + 13*g**3. Suppose 0 = -5*t + 3*t + 6. Suppose 4*o + 9 = -t. Give u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2. Let t(h) = h**2 + 2*h - 11. Let a(k) = -k**2 - k + 6. Let n(s) = -11*a(s) - 6*t(s). Calculate i(n(g)).\nAnswer: 25*g**4 - 10*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/35 and -88\/75.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e9 (base 15) in base 12?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 47, 121, 323, 719, 1375, 2357, 3731?\n\"Answer: 11*a**3 - 2*a**2 + 3*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/(-12))*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4339849699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 1066, 1588, 2110, 2632?\nAnswer: 3154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l - 2*l - 3036 = 0. Which is greater: l or 277?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249954?\nAnswer: 2, 3, 41659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**5\/80 - c**3\/8 - c**2\/4 - 65*c. Factor z(p).\nAnswer: (p - 2)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {y: 4, u: 1, c: 1, d: 3, s: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)*q*q)\/(q\/(q*q\/q**15)*q) assuming q is positive.\nAnswer: q**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 + 9572*d**2 + 6341632*d + 715082064 = 0?\nAnswer: -1126, -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + 1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4, 2, 1\/4, 99, 0.03, -3\/4 in descending order.\nAnswer: 99, 4, 2, 1\/4, 0.03, -3\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 5, 0, -11, -28?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -17*m**2 - 8*m + 6. Let u(j) = -32*j**2 - 14*j + 11. Let b(v) = -11*c(v) + 6*u(v). Let s(a) = -a**2. Determine s(b(n)).\nAnswer: -25*n**4 + 40*n**3 - 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 561*a - 54 + 83*a + 82. Let r be n(3). Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let y(q) = 42178*q. Give f(y(m)).\nAnswer: -42178*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 28*r**2 + 33*r - 118. Determine m(29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 593. Is 5 a factor of t(-77)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -0.02, 2, 0.09 in increasing order.\nAnswer: -157, -0.02, 0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96762743.14 - 54\nAnswer: -96762797.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*g**2 - 597*g**2 + 1213*g**2.\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -63305 by 5.\nAnswer: -12661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. What is r(17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p**2 + p + 1. Let o be g(3). Let d = -4 - -7. Suppose -i = d*i. Solve -2*w - w - 4*n = 0, -w + o*n = i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-9)\/(-9))\/(1\/13). Suppose 2*w - 1 = -2*b + 3*w, 4*b + f = 5*w. Let a(k) = -5*k**2 - k**2 + 2*k - 2*k**3 + 1 + k**b. Determine a(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f - 25, 5*v + 20 = -4*f. Let y be (v - 1) + 2 + 1. Suppose -30 = y*n - 7*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11376684 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -4\/7 (b) 0.028 (c) 1 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14336 and 3573024?\nAnswer: 228673536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 204.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19\/4 + (-9)\/(-36). Let k = s + -2. Suppose 2*a = y + k*y, 5*a = y + 18. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2085)\/7784)\/(35\/(-49))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1833)\/30 - 3\/(-5). Suppose -7*d - 180 = -4*d + 2*v, 0 = 5*v. Let t = d - y. Which is the closest to -1\/3? (a) -5 (b) 1\/6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 140*n**2*z**4 + 2980*n**2*z + 47*n*z**4 - n*z + 2*n - 9 wrt z?\nAnswer: 1680*n**2*z**2 + 564*n*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + 121. What is the highest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 527589 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.09 minus 0.3715?\nAnswer: 93.7185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/3673992 and -107\/1368.\nAnswer: 11021976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*22\/6)\/(144\/96*6\/(-27)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -8. Suppose -j*u + 21 = 3*v, 4 - 22 = -u - 5*v. Suppose u = h - 5. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 10. Suppose -2*a + 22 = -0*a. Let c be j(a). Sort 5, 17, c in descending order.\nAnswer: 17, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -15. Calculate the least common multiple of 8 and 23 + (3 - (4 - s)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.234*0.5.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 621699504*s**4 - 1204747346*s**2?\nAnswer: 14920788096*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 times 990?\nAnswer: 278190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 46536.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876112 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016389 rounded to 4 decimal places?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 322, 311, 296, 277?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26788000 to the nearest one hundred thousand.\nAnswer: 26800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n - 2*n**2 + 0*n + (-4*n + 5*n + 0*n)*(-236 - 157*n + 236) + 3*n**2 - 6 + 6.\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 350738762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**3 - 2*u**2 + 2*u - 1. Let g be w(1). Let v be (-2)\/((-7)\/(g\/(-36))). Let j = 1.6 - 2. Which is the nearest to -1? (a) v (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139382, 282677, 425972?\n\"Answer: 143295*m - 3913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1650*h = -1624*h - 156 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-57 - -108) + -49)*147\/(-6)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.119 + -0.419. What is the nearest to -1\/2 in s, 5, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1312941 and 263577.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 21. Calculate the remainder when 11 is divided by q(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {n: 6, x: 6, d: 1, z: 7}?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 46088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - b + 2)*(-4 + 0 + 2) - 3*b + 2*b + 0*b + 1 - 2*b - 1 - 3*b + 3*b - b + 1 in the form z*b + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4319976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*t + 647, 7*t - 954 = 4*t + 2*r. What is the third derivative of -3*a**5 + t + 3*a**2 - 316 wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -57*y + 790. Calculate the least common multiple of 1068 and w(-8).\nAnswer: 7476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007466 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 29\/(-8) + (-186)\/496. Which is the second biggest value? (a) -13 (b) u (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 461, 922, 1383?\n\"Answer: 461*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + x + 3. Let d(y) = y. Let c be d(-4). Let t be j(c). Let s(g) = 6*g**2 + 0*g + 0*g. Calculate s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11*o + 5 = 0, 4*r - 6*o + 11*o + 21 = 0. Let d = -31\/5 + 47\/10. What is the nearest to -4 in -1, d, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(-1 + (sqrt(28)\/sqrt(4))**2 + 2 + 6*(sqrt(35)\/sqrt(5) + sqrt(7))*6)*-1.\nAnswer: 8 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = -4*i + 4*p, 84 = i + 3*p - 55. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6187*i**2 + 18562*i - 8. Determine c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2837737, -2837741, -2837745, -2837749, -2837753?\nAnswer: -2837757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532469 and 2494?\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -104540 < -313618\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let v(f) be the third derivative of f**2 + 1\/6*f**3 + 0*f**5 + g*f + 0 + 0*f**4 - 1\/120*f**6. Differentiate v(l) with respect to l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 93 - 23. Let q = k + 8. Let t be 14\/q - 2\/2. What is the nearest to 1\/3 in -5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4 and 390.49.\nAnswer: -937.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 119266111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -134138*t. Let m(v) = -2*v**2. Determine i(m(u)).\nAnswer: 268276*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9559*o - 15038 = 9343*o - 19048*o for o.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(30))\/((sqrt(72)*-1)\/sqrt(12)) - ((sqrt(125) + -2)*-5 + sqrt(125) + 3*(sqrt(125) + -2 + sqrt(125))))**2.\nAnswer: 72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-6)\/(-72)*22. Which is smaller: l or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from ppwvqvbjj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 5*j**7\/336 + 17*j**6\/60 + 279*j**5\/160 + 27*j**4\/8 + 9*j**3\/4 + 20*j + 3. Solve x(r) = 0.\nAnswer: -6, -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975 divided by 5?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6104265599*n - 2*n**2 + 6104265599*n + 3*n**2 + 2*n**2 + 4*n**3 - 3*n**2.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 10. Let b(c) = -2 + 73*c + 76*c - 9 - 145*c. Determine 4*b(l) - 3*d(l).\nAnswer: l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 6:02 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 35 = -p + 19 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*s - 30*s - 80*s - 17*s + 12 in the form l*s + t and give l.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2. Let p(k) = 985*k. Determine p(u(j)).\nAnswer: 5910*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 391 - 421. What is the biggest value in -2, o, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001400495493 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1758*k**3 - 6*k**2 + 42*k + 1530. Let w(o) = -1758*o**3 + 8*o**2 - 53*o - 1532. Let j(l) = 5*n(l) + 4*w(l). Find the third derivative of j(y) wrt y.\nAnswer: 10548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3 + 3*d**2 + 2*d - 2. Let j be s(-3). Is j - -1 - (-1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dc (base 14) in base 10?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0. Let h = 0.9 - -2.1. What is the third biggest value in -3, z, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -550 - 118?\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 10, 19, 28, 37, 46?\n\"Answer: 9*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 309*y - 2905. Give h(8).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) -2\/9 (c) 1\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, c: 1, s: 1, f: 1}. What is prob of sequence ac?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = c + n + 3*n, 5*c = n + 715. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147 and 24.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 5) to base 15.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 - 186*u**4 + 5313*u**3 - 19128*u**2 + 23076*u - 9072 = 0.\nAnswer: -84, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26 and -0.13.\nAnswer: 3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(33)\/sqrt(3) + 3 - (sqrt(704) + -2 + 5)**2.\nAnswer: -710 - 43*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 22 = -3*b. Let i = b + -6. Let z(a) = 2*a**2 - 6*a - 7. What are the prime factors of z(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -790 * -34\nAnswer: 26860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 122. Let r(f) = -2*f + 122. Let q(x) = -3*m(x) - 2*r(x). Let u(h) = 3*h**2. Give u(q(n)).\nAnswer: 12*n**2 - 1464*n + 44652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*b - 7, 5*g - 22 = 3*g + 4*b. Let y = 0 + g. Suppose 17*l - 13*l = 24. Solve -y*i - 4*u = -5, -l = -3*i - 5*u + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-71)\/284 - (-3458)\/8. What is the greatest common divisor of c and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5, 3, -74, 4, 21 in descending order.\nAnswer: 21, 5, 4, 3, 1, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1816 + -1812. Which is the third biggest value? (a) -1\/5 (b) 0.6 (c) x (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4128 and 68520672?\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042713 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 687 divide 2110175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49113 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 n = -29.31 - -0.31. Let z = -28.64 - n. Let o = z - 0.3639. What is o rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.779148 less than -0.05?\nAnswer: -35.829148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Suppose -c + f*n - 20 = -2*c, 3*n - 90 = -3*c. Suppose 0 = -o + 6*o - c. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.9 + 127.1. Let h = y - 204. Let p = -1.9 + 2. Which is the nearest to p? (a) -1 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 25, 5 in descending order.\nAnswer: 25, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -9, 0.5, -3794?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6360\/17 + 374. What is the nearest to -0.1 in 2\/5, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 101, 373, 829, 1469?\n\"Answer: 92*f**2 - 4*f + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -28*u + 37. Let t(p) = -p**3 + p**2 + 23*p - 17. Let y be t(5). What are the prime factors of z(y)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196210, 392533, 588944, 785437, 982006?\nAnswer: 1178645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 330 = -38*x + 115 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = f - 3*f. Let p = -1 + f. Factor -7*n**4 - n**4 + p*n**5 + 110*n**3 - 106*n**3.\nAnswer: 4*n**3*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 7 + 4)*(-21 + 20 + 18 + (3 - 5 + 0)*(2 + 1 - 1))*(2*h**2 + h**2 - h**2) + h**2 - 1 + 1 as j + l*h + u*h**2 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-135)*220\/88.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1006311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 0.02, -7, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkbk when four letters picked without replacement from kbzk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11976.\nAnswer: 2, 3, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-15)*15\/24.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009636169975 to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -99, -299, -643, -1149, -1835?\n\"Answer: -3*l**3 - 54*l**2 - 17*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007007 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3994103947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*x + 4 - 0, -2*x + 14 = f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23378569 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -452*n**3 - 18 + 16*n**2 - 275*n**4 + 446*n**3 + 269*n**4 + 15*n - n**5.\nAnswer: -(n - 1)**2*(n + 2)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2 - sqrt(104))*-4)\/(sqrt(2400)\/sqrt(3) - sqrt(8)).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b4314 (base 12) to base 10\nAnswer: 235456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 12:03 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3430, -6860, -10290, -13720?\nAnswer: -17150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121178, 484677, 1090490, 1938605, 3029010, 4361693?\nAnswer: 5936642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2367380956 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 0*t - t + 0*t - 2*t + (4*t + 3*t - 5*t)*(0 - 2 + 1) - 2*t - t + t + (5*t - 4*t + 0*t)*(0 + 2 - 3) + 11*t - 358 + 358.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1.5, -2, 4, -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 217 - 112. What are the prime factors of s?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21705851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2315, 2, 11, 4, -7 in decreasing order.\nAnswer: 11, 4, 2, 1, -7, -2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/314, -2, 95\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrzzgirrzgggiggigggg. What is prob of sequence irlg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1686 - -1686. Which is the smallest value? (a) r (b) 23 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/7 - 51988*g**2\/7 - 4800200*g\/7 + 9808336\/7 = 0. Calculate g.\nAnswer: -94, 2, 26086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 133 - 83 = 0. Calculate the highest common divisor of 276 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 1\/6*p**3 + 0*p - 29\/12*p**4 + 42*p**2 + 0 + 841\/60*p**5. Suppose w(o) = 0. Calculate o.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -16217*z. Let r(k) = -19*k. Determine r(b(t)).\nAnswer: 308123*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 7*x + 9. Let k = 7 + -1. Let i be z(k). Is (74\/i)\/(4\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743*r - 2309 - 5059 = 1099*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.14?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222421214022 - 2?\nAnswer: 222421214020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 408 - 408. Let x(q) be the third derivative of 1\/6*q**4 + 0*q - 5*q**2 - 1\/20*q**6 + 0*q**5 + c*q**3 + 0. What is the second derivative of x(k) wrt k?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from {t: 4, n: 8, d: 2, a: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 813668.669 and -2.\nAnswer: 813666.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 105*u - 110*u, -2*u - 95 = 5*m - 7*u for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7 = -2*o, 0 = 2*r - 5*o + 8 - 1. Is ((-609)\/(-9))\/(r\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -314*j + 632. Let u(y) = 2*y**2 + y - 2. What is the remainder when u(-2) is divided by f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185417.2cm to millimeters.\nAnswer: 1854172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171434?\nAnswer: 2, 3, 11, 17749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(378) + sqrt(378)*2)\/sqrt(6) - sqrt(63))\/(1*sqrt(576)).\nAnswer: 3*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*g + 0 + 1 = 0, -3 = 3*g. Let z(t) = 7*t - 2. What are the prime factors of z(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/130186 and -25\/1060086.\nAnswer: 7420602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 843, 2624, 5621, 9828, 15239, 21848, 29649?\nAnswer: 38636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 10 (c) -0.4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-2*z - 7 + 7).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 10*p**2 + 4. Let s be b(-10). Solve -s*d - 6 = -18 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -1607?\nAnswer: -1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -531 - 528 - 47*u**4 + 1578 - 529 + 5459*u**4 - 273*u wrt u.\nAnswer: 64944*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18)\/k*k)**(-1\/39))**(-1\/56) assuming k is positive.\nAnswer: k**(-3\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i - 3. Let s(h) = 5*h - 2. Let y(v) = 4*n(v) - 9*s(v). Let o be (-1 + 1)\/(-20 + 22). What is y(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 783 and 63.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 799 and -13?\nAnswer: -10387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 441 is divided by 136.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 - 8*t - 3. Let s be d(-6). Suppose 0 = 5*i - s - 1. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3181471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 50, 57?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 + j - 5. Let v be n(0). Let i be 1480\/(-380) - (v + 1). Let o = -81 - -323\/4. Sort i, -1\/6, o in descending order.\nAnswer: i, -1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 4 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + -1*sqrt(1296)*-5 - (sqrt(1296) - -4*1*sqrt(1296)))\/((sqrt(16) + (sqrt(64)\/sqrt(100) - sqrt(16)))\/(-1*sqrt(72))).\nAnswer: -270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*l - 2*m - 0, -4*m = -12. Suppose 0 = l*z - 0*r + r - 45, r = -4*z + 36. What is the second smallest value in 1\/2, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26\/21 - -4\/21. Suppose -t - 11 = 4*i + 23, -4*i = 3*t + 30. Determine o, given that -4\/7 + 8\/7*o**t - u*o + 6\/7*o**3 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94845.33 litres in millilitres?\nAnswer: 94845330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190469 (base 10) to base 16.\nAnswer: 2e805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 40 + 8. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ithihhihwiiihhiah. Give prob of sequence athh.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 170 = -15*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019254719 rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -690 divided by 2?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*81\/(-1863)*529?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6*k + 21 = -3*r, 0 = 3*k + 3*r + 9. Solve 2*a + 9 = k*s, a + 2*a = -4*s + 29 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2034*x**4 + 1716 wrt x.\nAnswer: 8136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010011 - -101101101110101010110?\nAnswer: 101101101110010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1065296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + d + 38 = 3*d, -5 = -q - 3*d. Factor g**3 + 10 + 18 - q*g + 20 - 5*g**2.\nAnswer: (g - 4)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7 + ((-54)\/(-9) - 57))*(-2)\/4 is divided by 3\/(((-6)\/(-8))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 93 + -32 + (5 - (2 + 2)) + 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966 divided by 9?\nAnswer: 4966\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14629 and -6.5.\nAnswer: 95088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1254 and -16\/8613.\nAnswer: 327294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 14 = -4*d, 0*v = -3*d + 4*v + 11. Let k be (-4 + -216)\/(d\/(-80)). Suppose -2*f + 0*f - k = 0. What is f rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-9) - 3 - (-112)\/504?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 76*q - 566. What is the thousands digit of a(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let p(l) = 3*l**2 + 4. Give p(n(q)).\nAnswer: 3*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98.1 + -109. Let i = -6.23 - -0.33. Let h = i - y. Which is the third biggest value? (a) 0 (b) 1 (c) h (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b - 3. Let f be g(-2). Suppose -25 + f = 5*c. Let j be -2*c*2\/4. Let z(o) = -2*o + 3. Calculate z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = q - 4. Which is the second smallest value? (a) 2 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 183. List the prime factors of (-2)\/(-3) + ((-2366)\/g)\/1.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 379*t**2 + 3 - 50*t - 31*t + 79*t as h + b*t + x*t**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 2, j: 1, v: 1, l: 1, x: 2}. What is prob of picking 1 p, 1 x, 1 j, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -725 divided by 145?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.106 + 0.071. Sort -2, 0.3, c in ascending order.\nAnswer: -2, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2268*h + 2257*h + 2 - 4497*h)*(-10*h**3 - 24*h**3 + 9*h**3) to v*h**4 + k*h**3 + l*h + q + i*h**2 and give v.\nAnswer: -700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1317 + 442 + 437 + 438 - 849*u to the form q*u + x and give q.\nAnswer: -849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 9. What is the highest common divisor of 60 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfffffjfffjfjjjffjf. Give prob of sequence fjj.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/5 - 21596*r\/5 - 1403556.\nAnswer: -(r + 330)*(r + 21266)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -291*b**2\/2 - 14*b - 71. List the prime factors of p(-2).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -4.3007?\nAnswer: 0.172028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(143) + sqrt(143)))\/(sqrt(176)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 54. What is the smallest value in 4\/9, t, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 6139 = -2481. Let u = v + -182. Is 40 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13231, -26469, -39707, -52945?\nAnswer: -66183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 3 + 3*t + 716*t**2 - 720*t**2 as v*t**2 + d + p*t and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02018 - -3.\nAnswer: 3.02018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**2 - 1041*y - 20862 = 0.\nAnswer: -19, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**2\/2 - 7*k + 626. Suppose 0 = -5*t - 6 - 19. Give q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m - 4. What is the common denominator of -61\/5 and 46\/(-22)*(-2)\/m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*r = -18, 0 - 6 = -2*r. Let x be (l - (-15)\/6)\/(4\/(-8)). Let s(t) = 0 - 2*t**2 - t + 0*t + 15*t**3 - 1 - t. Determine s(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 98362975\nAnswer: 98362980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + (-191717)\/(-2))\/((-57)\/2660*-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -392\/11, 0.2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75594279?\nAnswer: 3, 25198093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11662983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.01 + 0.22276538.\nAnswer: -1.78723462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s. Let k(b) = -2*b - 6. Let x(i) = -3*i + 1. Let o(w) = -7*w - 3. Let l(q) = -3*o(q) + 5*x(q). Let p(v) = 7*k(v) + 3*l(v). Give h(p(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 0.098216.\nAnswer: -0.901784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 15) to base 16\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 4*f - 26. What is n(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-476\nAnswer: 190.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255096 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*p**2 - 4*p + 19*p + 19*p**2 to the form v + n*p + f*p**2 and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 1444, 3714, 6922, 11086?\nAnswer: 16224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 - 1579*t**4 + 390964*t**3 + 401488992*t**2 - 170872899840*t - 171273996288.\nAnswer: (t - 696)**3*(t + 1)*(t + 508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(1 - 1 + 5*d)*(-2*d + 2*d + 2*d) + 1 - 1 + d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 6, f: 10}. Give prob of picking 3 f.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8599 or 1?\nAnswer: -3\/8599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/78 + (-2116)\/(-247572)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 1041, 2347, 4177, 6537, 9433?\nAnswer: 12871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24239 - -25275. Calculate the least common multiple of 44 and f.\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.83 - -23.83. What is the second biggest value in -0.4, -5, v, 0.105, 5?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1648*w**2 + 183*w + 2431*w**2 - 183*w + 1 to the form o*w + a + q*w**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 1. Let g(i) = 7*i**4 + i**2 - 5*i + 1. Let u(y) = -g(y) - n(y). What is the second derivative of u(l) wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -5. Suppose -o**2 - 7*o**2 - y*o**2 + 4*o**2 - 3*o**4 + 9*o**3 + 3*o = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d. Let k(b) be the third derivative of -b**5\/60 + 125*b**4\/24 + 633*b**2. What is k(h(v))?\nAnswer: -16*v**2 - 500*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -21, -24, -27, -30, -33?\n\"Answer: -3*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4651a3 (base 15) to base 6.\nAnswer: 155552343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(n\/(n\/(n**(1\/48)*n))*n)*n\/(n\/n**(-14)) assuming n is positive.\nAnswer: n**(-673\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6 + (-150)\/(-9). Let g be (-6)\/(-14) - m\/42. Suppose -5*c = -u - 13, g = -3*c - 4*u - u + 19. Put c, -2\/9, -3\/2 in ascending order.\nAnswer: -3\/2, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 81*u**4\/4 - 16*u**3\/3 + u**2 - 11. Find the third derivative of q(f) wrt f.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 321023444 + 121?\nAnswer: 321024120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -117. Let l = u + 128. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (-103 - (-100 + 0)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 = 4*b - 2, -5*b = 3*q - 15. Solve -13 = q*m - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 - 12628030*q**3 - 646*q**2 + 7842*q?\nAnswer: 48*q - 75768180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44 - 14.6.\nAnswer: -58.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 14. Is 5 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 494759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -7, -5 in increasing order.\nAnswer: -7, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 17 - 11. Suppose -2*d = 5*j - 4722 + 936, v*d + 764 = j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980650, 1961213, 2941776, 3922339, 4902902?\nAnswer: 5883465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 less than 0.05013?\nAnswer: -0.02487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + 0 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-123)\/5 + -5)\/((-4)\/10). Suppose -5*a + c = -m, -4*c = -a - 0*a + 30. Solve 4 = 4*v + 4*u, 2*v - 2*u = -0*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)\/(1\/(-37)). Suppose -h = -3*c - 7. Let l(m) = 2*m**2 + 7. Let x(s) = s**2 + 3. What is c*x(i) - 4*l(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 15*x - 15. Calculate v(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 17\/1 + 3. Let w be 4\/14 + 51\/(-7). Let j = m + w. Calculate the remainder when 31 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, s: 3, w: 1, d: 3, n: 1, k: 2}. Give prob of sequence skdw.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 1:23 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 99, -3, 0.4, 3?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 13*g + 2*g)*(-8 + 4 - 9)*(2 + 1 - 1) + (-5 + 2 + 2)*(-3 - g + 3) + 0*g + 5*g - 2*g.\nAnswer: -282*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 - 231*s + 294. What is the thousands digit of g(130)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/14 + 14 + -1. Let k(o) = 102*o - 71. Is k(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 38, 76, 126, 188, 262, 348?\n\"Answer: 6*c**2 + 8*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 477821.9nm?\nAnswer: 0.04778219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 53151 + 53151.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*x - 3731, -2*x = -2*g + 4081 - 353. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1110 or -14429\/13?\nAnswer: -1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3374381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.035151 and 0.3.\nAnswer: 0.0105453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94783\/10 + -9486. Let o(y) = y**2 + 16*y + 8. Let g be o(-22). What is the common denominator of h and 18\/(-45) + 1*586\/g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcx when three letters picked without replacement from {p: 2, c: 1, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450568 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 7. Let l = 35 + -40. Let k(o) = o**3 + 6*o**2 + o - 10. Let s be k(l). Suppose -5*m = s + 20. Determine b(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1350260 divided by 270052.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 334 - -2753?\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -854 - 1?\nAnswer: -855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7*x = -3*x - 1115, -428 = -2*j + 2*x. Suppose 78 + j = 3*t. Let k be (-2)\/11 + 51\/t. Which is the nearest to -1? (a) -3\/5 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + 0 + -3 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28514, 8, 4 in ascending order.\nAnswer: -28514, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0682 - -0.05447. Round x to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -834, -1670, -2508, -3348, -4190, -5034, -5880?\n\"Answer: -i**2 - 833*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 0.5879704940478?\nAnswer: 0.4879704940478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 2*k + 30, k - 19 = 2*g - 2*k. Let d(t) be the third derivative of -t**4\/12 - t**3\/6 - 7*t**2. Is d(g) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.149979 litres in millilitres?\nAnswer: 149.979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -1, 3*b - 951 = 5*j. Let g = -319 + b. What is the least common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 108*p - 56. Let i be w(7). Suppose -25*h + 0*h + i = 0. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 6. Let c be s(9). Suppose 5*k - 121 = c*z - 4337, 2*z - 3*k = 2809. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and ((-1220)\/366)\/((-1)\/60)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/5)\/(30\/(-36))*(-10)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -7, 62, -1, -5, 36, 4 in descending order.\nAnswer: 62, 36, 25, 4, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12521 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 - 37 = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 840*t**3 - 40*t**2 + 40*t - 40. Let j(s) = s**3 + s**2 - s + 1. What is 80*j(u) + 2*r(u)?\nAnswer: 1760*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13876962 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 27 = 6*w. Suppose -w*u = 3*y - 257215, -5*u + 327818 = 5*y - 100867. Suppose y = z - 438267. Round z to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777.89702 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -335 + 199. Let h = s + 138. What is the closest to -1 in -1, h, 5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (9 - (1 + -2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 347 + -d4e?\nAnswer: -a07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12636 and 2673?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50025 - 462?\nAnswer: 46233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esesuseesesseusjss. Give prob of sequence uuse.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Let y = 1 - t. Let x be (-8)\/(-1 + y - -1). Solve -x = d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.028? (a) 0.5 (b) -0.01 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfnoxexe. What is prob of picking 1 x, 1 o, and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-276)\/(-230)*30\/(-48)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00544401018 to five decimal places.\nAnswer: 0.00544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(4)\/sqrt(2)))**2 + (sqrt(540)*2)\/sqrt(12) - ((sqrt(360) - (sqrt(360) + sqrt(360)*-3*5)) + sqrt(360) - sqrt(360) - sqrt(360))\/sqrt(8).\nAnswer: -36*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2 - 0) + 1)*-2. Let h(u) = 9*u + 2*u - x*u - u. Let n(m) = -m. Determine n(h(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 4. What is the units digit of r(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7928561383 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -422, -786, -1138, -1472, -1782?\nAnswer: -2062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*18\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, b: 11, a: 1, w: 5}. What is prob of picking 3 w and 1 a?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.38.\nAnswer: -12.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:17 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2*a**2 + 3*a**3 - 19 - 8)*(-4 + 5 - 7) to the form y + f*a**3 + m*a + c*a**2 and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1 = -i, 3*r = -4*i - 2*r + 17. Let t be i*(2\/5)\/(4\/10). Suppose 30103 = -t*l - 29297. What is l rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -9*p + 7. Let u(s) = 5*s - 4. Let c(h) = 4*d(h) + 7*u(h). Let g(k) = k. What is c(g(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 3}. Give prob of picking 2 r and 1 u.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 + 208*j**3 + 23385*j**2 - 3976700*j - 212087500 = 0.\nAnswer: -125, -47, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i - 3*i + i. Let b(m) = -56*m + 4176. Let h(v) = -1961*v + 147552. Let c(r) = -106*b(r) + 3*h(r). What is y(c(n))?\nAnswer: -265*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015326361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1091804*b**2 - 1091804*b**2 - 3 + 7*b**3 + (3*b**2 + 0*b**2 - 2*b**2)*(2*b - b - 2*b) + 5*b**3 - 3*b**3 + 0*b**3.\nAnswer: 8*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2001364 rounded to 3 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3827?\nAnswer: 11481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t - 4. Let a be (2\/(-6))\/(7\/(-42)) + -5. Let o(u) = 4*u - 5. Calculate a*h(k) + 2*o(k).\nAnswer: -4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1130 divide 2210241580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 4 + 4*r**2 - 7\/9*r**3 - 3*r. Let o(n) = 0. Calculate n.\nAnswer: 3\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = -4*f + w, 3*w = -3*f + 1067 - 302. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.97 + -0.03. Let i be (1\/2)\/((-5)\/60). Let a = 4 + i. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 18905216?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 752*h + 96387. Calculate l(-125).\nAnswer: 2387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2733700404 a multiple of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -187131 divided by 7?\nAnswer: -26733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3401776 - -1741504\nAnswer: -1660272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0 + 0)*(3107*p**3 - 5*p**4 - 3107*p**3).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-85))\/((-42)\/(-15))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1305*k - 54*k - 41106 = 23946 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**2 + 6*l. Let v(w) = -7*w**2 + 12*w. Let a(j) = 6*v(j) - 11*x(j). Factor a(u).\nAnswer: 2*u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**3\/11 + 11300*m**2\/11 - 7182*m = 0.\nAnswer: 0, 7, 5643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcjdqsqsqdsccs. What is prob of picking 2 c?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 2}. What is prob of sequence prp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 252*u + 16*u**2 - 57*u**2 + 15*u**2 - 69*u + 17*u**2 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -3 - 15. Differentiate -27*c**s - 22*c**2 - 57 + 11*c - 30*c**2 + 80*c**2 with respect to c.\nAnswer: 2*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 516\/10 + ((-12)\/20 - -1). Solve -37 = -5*l - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2280 is divided by 713?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5871707*c + 2714924 wrt c.\nAnswer: -5871707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 8*a**2 - 6*a + 4. Let j be d(-2). Solve 4 - j = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225513545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21706 in 3, -5, 2\/23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c = -14. Let u(m) = -4*m + m + c*m. Let w(y) be the third derivative of -y**4\/24 - 2*y**2. Determine u(w(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130828\/7 - 18680. Which is greater: -43 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -3 + 2 + 0 - -2. Put -1, s, 37 in descending order.\nAnswer: 37, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*g + 515 - 545 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q + 42 - 56 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*(-3 - (-11)\/1). Solve -t = -14*f + 10*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -44. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/328 and 46\/9.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 125397183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 = 21. Let s be (p - 8) + (-2 - -6). Let l(g) = -g + 4. Let d be l(s). Solve -d*n + 4 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -925210807\/23870 + 271323\/7. Calculate the common denominator of d and 9\/775.\nAnswer: 17050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26753181 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = 5*s. Let f = -37.49 + -0.51. Let r = -38.2 - f. Which is the closest to r? (a) s (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11895911 is divided by 1393?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 + 350. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100 + 8 - 7)*(-4 + 5 - 2)*(2*h + 3 - 3) to v + s*h and give s.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14302 - -14326. Solve 3*a + 5*v = -19, -20 = 4*a - 20*v + o*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 27.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3048 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -5*k - 11*k. Which is the third biggest value? (a) -3 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.4, -156.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 1142318 + 1137658. Suppose -2*q = 2*n + a, -q = -4*n + 3*n - 190002. Round n to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19617603?\nAnswer: 3, 6539201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-63)\/(-6))\/1*(-168)\/(-98). Suppose q - 2*q + 72 = 0. What is the highest common divisor of u and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029284 - 5331342 = -46*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 + -95 + 16\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -84, -127, -170?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1548 - 2827. Suppose -5*t - 876 + 277 = -3*w, -3*w - 5*t + 589 = 0. Let b = w - g. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133701.9581 to the nearest ten.\nAnswer: -133700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -801, -3315, -7549, -13503?\n\"Answer: -860*j**2 + 66*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9*z. Let u(g) = g**2 - g - 4. Determine u(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1366756ml in litres?\nAnswer: 0.0001366756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 - h + 4. Let p(c) = -3*c + 3. Suppose 17*d - 3*d = 154. Determine d*i(t) + 4*p(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 4 + 4. Let o(k) be the first derivative of -7*k**2\/2 + 85. What is o(h(w))?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(11\/(-55))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/(15250\/(-793)) + (-16)\/10 + 1?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370 by 5.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**22*x**(6\/11)*x)\/((x\/((x\/(x*x**(2\/5)*x*x))\/x))\/(x**(-5\/12)*x)) assuming x is positive.\nAnswer: x**(13021\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-3 - 33\/(-10)). Put x, -0.3, 3 in decreasing order.\nAnswer: 3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -13647*f - 1801401. What is h(-132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 9*q - 16. Let c(k) = 3*k**2 - k + 1. Let y be c(1). Let z be v(y). Suppose z*b = 193 - 25. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by -19622\nAnswer: 257\/19622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2240\/21)\/16*(-54)\/(-24)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*s - 25*s = -98*s - 3058 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -137*s**6\/60 + 47*s**3 - 219*s**2. What is the first derivative of x(o) wrt o?\nAnswer: -822*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 250, 249, 248, 247, 246, 245?\n\"Answer: -i + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/36 and (15268\/3270)\/(4\/50*-10) - -6.\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (0 - (-4)\/(-2)). Let d(j) = -j**2 - 3*j + 2. Let a be d(-3). Solve -g - a*g - 15 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321407 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 7)*(-23)\/(-115). Which is the closest to 1\/4? (a) -12 (b) 9 (c) -0.4 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4058642?\nAnswer: 2, 7, 131, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2419436 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 18. What is the common denominator of (9\/(-48))\/((-1)\/12) and (-28)\/z*(-3 + 2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -6) + 33\/12 + 2. What is the second biggest value in v, 0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - 1. Let p(d) be the second derivative of -d**4\/12 + d**2\/2 + 7*d. Give f(s) + p(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 13*t - 5 - 2*t.\nAnswer: -15*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3783, -3782, -3781?\n\"Answer: v - 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 16 = -3*y + y, 2*t = y - 8. Let p be -3*-6*68\/y. What is the highest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*y - 12*y = -195*y - 3652 - 5968 for y.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 122, 288, 502, 764, 1074, 1432, 1838?\n\"Answer: 24*t**2 + 94*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9561.3 - -9561.098485. Let t = w + 0.202. Round t to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 20748379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/((-5)\/2 + 2). Suppose 0 = d - 2*d + c. Let s(x) = x - 1. Let p be s(d). Solve 2*v = -p*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 600 - 599.6. What is the closest to -23 in 0.2, -6, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/2)\/((-1)\/(-14)) and 50\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3659, -0.54, 5?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4 - 1138*r**3 - 277300*r**2 + 7795554*r - 51949755 = 0.\nAnswer: -759, -405, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(50)\/(sqrt(40)\/sqrt(4)))**2 + sqrt(720))*2.\nAnswer: 40 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9048455, 18096916, 27145379, 36193844, 45242311, 54290780, 63339251?\n\"Answer: i**2 + 9048458*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 109390712 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 204*f**2 - 3795*f - 8398 = 0. Calculate f.\nAnswer: -221, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21b7 - 3?\nAnswer: 21b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 0*z**2 - 2 + z**2 - z. Let o(u) = u - 3. What is the remainder when o(6) is divided by x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0*q + 1\/6*q**3 + 7\/6*q**4 + 0 - 182*q**2. Let g(c) = c**2. What is g(j(o))?\nAnswer: 784*o**2 + 56*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23908)\/(-104528) - (-2)\/94?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -33. Find the first derivative of 6*n**4 - 6 + 10*n**4 - d*n**4 wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 22*h + 11 = 21*h, -5*t - 3*h + 27 = 0. Solve 1 = 2*o + t*b, 0 = 2*o + 10*b + 12 - 34 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/50)\/(159\/(-265)))\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 885*v**3 + 963*v**2.\nAnswer: 3*v**2*(295*v + 321)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1060 by 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 160397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7 - (-115)\/(-280).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1}. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34791060 divided by -4\nAnswer: 8697765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -36.011. Let m = -0.0226 + u. What is m rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 155.\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q + 2*g + 2706 = 0, 5*g + 4055 = 3*q. Let c = -2769\/2 + q. Let l = 652 - 1363\/2. What is the common denominator of c and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*n**3*p**2 - 17227*n**3*p + 40*p**2 - 926*p wrt n?\nAnswer: -6*n**2*p**2 - 51681*n**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 2098, 4697, 8334, 13009?\nAnswer: 18722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46 + -1.265507\nAnswer: -47.265507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddvoddddddvddvdvd. What is prob of sequence od?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 7846*x + 39280.\nAnswer: -2*(x - 3928)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45\/842 + -33471\/11788. Which is greater: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-18) + 15698\/423)*270\/(-315).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - -72. Suppose x = -29 - 37. Let f = y + x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 8*u**2 - 5*u + 8. Let g(i) = -i**2 + i - 1. Let f = 5 - 3. Suppose 0*j + f*j - 84 = 0. Suppose -12 = 5*x - j. Give x*g(v) + n(v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/(-3))\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120031003 (base 4) to base 7\nAnswer: 562015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13541 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10 = -2*b - 17, 3*c + b = 13. Let t be (2\/(-4))\/(6\/48). Let n(v) = -v**2 - 5*v - 2. Let w be n(t). Solve c*p - 2*a = -19, -p + a = w*a + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 66556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 118 - 3*i + 19 + 72 + 27.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/((-700)\/(-15)) + (-90)\/(-24)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 20191*t**2 + 27 - 20224*t**2 - 168)*(0*t**2 - t**3 + 0*t**2).\nAnswer: 33*t**5 + 260*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 287626388 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 259 - 447 + p + 130 + 4*p**2 + 243.\nAnswer: 4*p**2 + p + 185","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1932952992 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19976 divided by 4\nAnswer: 4994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3054489 is divided by 3602.\nAnswer: 3595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0387 less than 62.23232?\nAnswer: 62.27102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7064173, 7064158, 7064133, 7064098, 7064053, 7063998, 7063933?\nAnswer: 7063858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*-2*3\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11*q + 16*q - 19 = -5*i, -92*i + 3*q - 306 + 861 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 6686010.\nAnswer: 86918130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - 0.9. Let b = -0.5 + v. Let z = 4.17 + -0.17. What is the closest to 1 in z, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 + 9*w + 9 - 57 to the form v*w + t and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 12554?\nAnswer: -12550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 9:47 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (74*h**4 + 741*h - 741*h)*(-6 + 15 - 2 - 3 + 3 + 2 + (-3 - 1 + 3)*(-4 + 3 + 3) - 3 - 3 + 5) in the form f*h**4 + k*h + v*h**3 + r*h**2 + g and give f.\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/2 and -107\/4464.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 40534?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 7. Let h be s(-7). Suppose 5*w - 2*w - 57 = h. Calculate the remainder when 127 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.539 - -3.539. What is the third biggest value in 3\/7, -0.5, 111, b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(8\/52 - 224\/273).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**3 + 5*g**3 - 4*g**3 + 2*g**3 + 3*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 12. Let u(y) = y - 1. Let l(f) = 21*u(f) + 3*v(f). Let s be l(13). Suppose t = -5*r + 395, 4*r + 0*t + 3*t = s. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 34*o**5 - 172*o + 176. Differentiate m(t) wrt t.\nAnswer: 680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l = -27. Calculate the remainder when 53 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -2\/13 (c) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6662555\/96 - 69401. Calculate the common denominator of k and ((-25916)\/280)\/11 - (-10)\/(-35).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 - (-8840)\/(-4862). Which is the closest to 0.3? (a) -4 (b) 5 (c) z (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -71. Suppose 0 = -15*m + 1014 + t. List the prime factors of m.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*o + 14 = 0, 3*h - 278*o + 282*o + 13 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 1}. What is prob of sequence bu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:03 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -8880 > -8880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -74*l + 5036. Let w(v) = -34*v + 2515. What is 6*i(t) - 13*w(t)?\nAnswer: -2*t - 2479","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 11. Let r(z) be the third derivative of z**5\/60 + 7*z**4\/24 - 7*z**3\/6 - 1972*z**2. Determine r(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5*(-20)\/(-150))\/((-4)\/18). Let w = 0.92 - -4.18. Let o = -5 + w. Which is the nearest to o? (a) -1\/3 (b) 14 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*c - 42, -3*a - 2*c + 34 = -8. Let y = 48 + -26. Let w be y\/6 + 4\/12. Solve -w*j + 0*j = -a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250.5087 days in milliseconds?\nAnswer: 21643951680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -1 (c) -103 (d) -11\/635\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*y = -5, -y - 4 = -4*w + 2*y. Suppose 3*u = -1 + 10. Suppose -5*r - 13 = 196*h - 192*h, 12 = -4*h - 4*r. Put w, h, u, 2 in decreasing order.\nAnswer: u, 2, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6994 - 522 = -566*p + 2184*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37086 is divided by 2058.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -10.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -215 + 890. Let q = 674.999999615 - x. What is q rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 48. Let m be d(-10). Suppose 0 = 2*q + 4*b - 14, -3*q = -8*q - b + m. Solve -a - 5*w = -16 + q, -w + 2 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 5*h - 3*r, -5*h + 11 = -4*r. Let p = h - 2. Let m = -8 + 9. What is the remainder when p is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 - 5*t**3 + 4*t**3 + (0*t + 4*t - 2*t)*(3*t**2 + 3 - 3) + 4*t**3 + 0*t**3 - 2*t**3 + t - t + 6*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 226110*v**2 - 12780754668*v - 76692668184 = 0.\nAnswer: -6, 113058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2209733000 rounded to the nearest one million?\nAnswer: -2210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**4\/60 - a**3\/2 + 3*a + 18. Factor k(w).\nAnswer: w*(w - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -40.7. Let g = -17 + x. Which is the closest to g? (a) -5\/3 (b) 5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -55015 and 2.\nAnswer: -55013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 15*s**2 - 13*s - 17. Let i = 14 + 27. Suppose -4*z + f + 4*f + i = 0, -3*z - 5*f = -57. Give t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/16*60\/(-70).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0*w - 2*w - w. Let c be (-2)\/3 - 4739\/(-21). Let m(y) = 225 - c - 2*y. What is m(b(r))?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 7*x - 70 = 0. Let c = -62 + x. Solve 3*m - c = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 24.9. Which is the biggest value? (a) 0.2 (b) u (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*j**5 + 108807*j**2 - 4216119*j wrt j?\nAnswer: -1060*j**3 + 217614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9225835 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-32*t + 16*t - 28*t - 5*t) + (-2 + 4 + 0)*(-3*t + 6*t - t).\nAnswer: -94*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/(-2) - 494\/312*24.\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4880*a - 63 = -4884*a + 191, -2*v = 5*a - 452 + 136 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 17 = 5*o, 28 = 2*o + 36. What is the second smallest value in w, 2, -26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7697 (b) -16\/11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/(-1456))\/((-196)\/112))\/((-9)\/12)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 24 = -6. Suppose 110 + 52 = 54*w. Solve -j = -w*v + 19, v = 5*j + f + 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -40 + 2 - -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 divided by 4?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 407610402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 753 + -301. What are the prime factors of p?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 - 1) + (-24)\/8. Suppose 8*q - 53688 = -w*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 10. Find the third derivative of 3*o**6 + 33*o**2 - 27*o**r + o**6 wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -19*g**3 - 2*g**2 + 2*g + 6. Let n(i) = -76*i**3 - 9*i**2 + 9*i + 23. Let j(b) = 9*m(b) - 2*n(b). Differentiate j(u) wrt u.\nAnswer: -57*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016035609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 3*z**2 - z + 5. Let f be p(-3). What is the derivative of -f*j - 15*j + 17 + 13*j - 5*j**3 wrt j?\nAnswer: -15*j**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76726 and 4086.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 555 = s, 2745 = -26*s + 31*s - 5*p. Calculate the greatest common divisor of s and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-2\/3)*x)\/x**(-7))**30 assuming x is positive.\nAnswer: x**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016170293 to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let k(s) = -4 + 4 - s**2 + 0*s**2. Calculate c(k(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9070 divided by 907?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -128 + 126 - a + 4*a - 5*a**2. Let b(p) = 6*p**2 - 4*p + 3. Give 2*b(t) + 3*w(t).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 3:29 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2909676931?\nAnswer: 7, 415668133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 83357?\nAnswer: 14\/83357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7757 + 31029\/4. Let w = -232 + 2554\/11. Which is the nearest to x? (a) -0.3 (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (15 - 28) + 17 - (21 + -5)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 6*p. Let r be f(6). Suppose r = -x + 3*x. Solve 4*q = 5*h - 0*h + 37, x = 4*q - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2da46 - 2?\nAnswer: -2da48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c + 328 - 328 + (2*c - 3*c - c)*(0 - 1 + 4)*(0 + 1 - 3).\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 + 16 - 4*c**2 + 10*c**2 - 6*c**2 + 6*c**3 - 2 to u + b*c**3 + h*c**4 + m*c**2 + q*c and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 t when four letters picked without replacement from {v: 10, t: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 408193663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-3*sqrt(385) - sqrt(385))\/sqrt(11))\/sqrt(5) + 1 - ((sqrt(28) - sqrt(112))*2)\/(sqrt(32)\/(-1*sqrt(8)))).\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 507886\/(-110) + -2 + 16\/10. Let s = -4622 - f. Find the common denominator of (-79)\/(-9) + (-1)\/3 and s.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94105 and 2475?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35005, -34893, -34753, -34621, -34533, -34525, -34633?\nAnswer: -34893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 - 4*k**2 + 4*k**2 + (-1 + 1 - 2)*(2*k**3 - k**3 - 3*k**3) as b*k**3 + s + l*k + r*k**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 3\/7 (b) 0.5 (c) -21 (d) -5 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 - 4*a + 5. Let v be o(5). Suppose -20 = -5*c - v. Solve -3*w + 1 = -5*j, -1 = -c*w + w + 2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 + 6*d**2 - 3*d + 4. Suppose -91*b + 110*b - 133 = 0. Let f(g) = 3*g**3 - 11*g**2 + 5*g - 7. Calculate b*k(n) + 4*f(n).\nAnswer: -2*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-565)\/(-452))\/(5\/16). Solve 4*g = -5*w + 25, 5 = -4*w + g + l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692443161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/4 - -77\/36. Let u = 2\/9 - c. Sort u, -9, 0.1 in decreasing order.\nAnswer: 0.1, u, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 2, u: 2, h: 4, c: 5, a: 1}. What is prob of picking 1 t and 2 h?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1454, 1455, 1456, 1457?\n\"Answer: u + 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/108 and -37\/132?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 4, 0.19, 1\/72, -17\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let k be 5*(8\/(-5) - -2). Let o(z) = k*z - 4*z + 10*z. Determine m(o(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/420 and 23\/166490?\nAnswer: 6992580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 3*r + 301. Let b be d(0). Suppose 5*z + b = 21. Let j = 90 + z. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2 + 10. Let a(g) = g**3 + 7*g**2 + 7*g + 8. Let f be a(-6). Find the second derivative of -2*r**2 + r**2 - m*r + f*r**2 wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 87 - j**3 + j + 87. Let x(h) = -7*h**3 + 6*h**2 + 6*h - 1. Suppose 8 = u - 0. Let b = u + -7. What is b*x(t) - 6*o(t)?\nAnswer: -t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1. Let v(n) = n + 8. Let k(o) = -24*p(o) - 3*v(o). Let s(j) = 52 + 0*j**2 - 52 + 2*j**2. Give k(s(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101872 rounded to 4 dps?\nAnswer: 0.1019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1582721.9 times 5\nAnswer: -7913609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m - 4 + 4 + 0*m + 0*m - m - 2*m + 3*m + 0*m + 2*m - 4*m + m + (0 + 0 + 1)*(-2 + 2*m + 2) - 59*m - 27*m + 24*m.\nAnswer: -63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -38. Let y be (-49)\/m - (-2)\/12. What is the tens digit of y - -29 - 0\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.199 and 115?\nAnswer: 109.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 17 = 4*b - 7, -5*k - 670 + 676 = 4*b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**4\/4 + 195*h**3\/2 + 1425*h**2 + 4250*h - 15000 = 0?\nAnswer: -60, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*b + 77*b + 71*b + 405 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3957 greater than -3957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u - 1. Let c(m) = -6*m - 3. Let p(z) = -5*z - 3. Let l(i) = 3*c(i) - 4*p(i). What is 10*j(t) + 4*l(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.94 - -2.14. Let a = 0.8 - 0.9. Sort u, 0, a in descending order.\nAnswer: u, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.34 - -2675.\nAnswer: 2675.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + f - 2, 0 = -v + 4*f - 7 - 10. Let i be ((-1)\/(-1))\/((-3)\/33). Let k be (-2 + 5)*i*-1. What is the greatest common divisor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -2*v - 1\/3*v**3 + 0 - 4*v**2. Let q be t(-6). Solve x = 3*w + q*x - 18, 2*w - 3 = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 22 - 7 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 34*w + 67*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13113966)\/(-8))\/((-1035)\/10). Let g = l + 15838. Calculate the common denominator of g and -14\/5.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-25))\/((-10)\/(-125)). List the prime factors of c*((-22)\/(-4) - (-36)\/(-9)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1843.\nAnswer: 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/854 and -15\/122.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 20. Let c = 2 - h. Suppose g - c - 11 = -3*l, 0 = -4*l + 12. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196\/100823 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 4*g**2 - 4*g + 3. Let q = 20224 + -20228. Calculate t(q).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/27 - (-332)\/(-36). Let m be (-184)\/(-12) - (-3)\/p. Let a(b) = -3 + m + 3*b + 0*b - 4*b. Calculate a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083973.\nAnswer: 11, 98543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let g(s) = -24*s - 2. Suppose 11*y = 6*y + 50. Suppose 0 = -3*q - 4 + y. Let n(i) = q*b(i) - g(i). What is the first derivative of n(r) wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51301.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5111 + -11351?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-7 - -15) - -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*g**(1\/8)*g)\/g)*((g\/((g*g**14)\/g))\/g)\/g assuming g is positive.\nAnswer: g**(-121\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + 3820*j**2 = 0. Calculate j.\nAnswer: -3820, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2415297.\nAnswer: 3, 805099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.116 - 0.177. What is w rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43\/450 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**2\/2 + 4*h - 246. Suppose -b - 2*b + 18 = 0. Let x be (b\/(-5))\/(6\/(-20)). Determine n(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 388797\/5 and 77758 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694323.\nAnswer: 3, 7, 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {g: 2, k: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(198)*2)\/sqrt(9))\/(sqrt(288)*-2)*4)**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 6. Let i(m) = m - 5. Give 5*i(f) + 4*z(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40125, -174009, -397141, -709515, -1111125, -1601965, -2182029?\nAnswer: -2851311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9*r**2. Suppose 178*a - 177*a = t, 2*t + 18 = -a. Let g(l) = 63*l**2. Determine a*g(q) + 45*w(q).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-464) - (-140720)\/(-37120)*24.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5484 - 5478. Solve 22*p - 26*p + 4*g = 8, 4*p + j = 3*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a73 (base 16) to base 11.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -852 - -989. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/9 + 1595*n**2\/3 + 636272*n + 5721664\/9.\nAnswer: (n + 1)*(n + 2392)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56, -2, 4\/3, -0.05?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/5))**(-2\/67))**34 assuming k is positive.\nAnswer: k**(-68\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 83*v + 10. Let u be n(0). Solve u*k + 55 = 15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 - 2.92. Let h = z - -3.4. Let m = 7.8 - 8.8. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**9\/252 - g**8\/48 - g**5\/30 - g**3\/3 + 74*g**2. What is the third derivative of a(h) wrt h?\nAnswer: 240*h**3 - 420*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2 = -2*z, 8*j - 2*z = 4*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1012011 (base 3) to base 9\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17. Suppose -4*x + h*x = -2*o - 146, 5*o = -4*x + 139. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2616194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 5*i + 3*i - i + 5*i - 6*i + 0*i + 4*i - i + (-1 - 2 + 1)*(-2 - 2*i + 2) + 4*i + 0*i - 2*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -g + 53 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (2 - 0 - (3 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 + u**5\/12 - u**4\/8 - 2*u**2. What are the prime factors of b(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 4*l**2 + 7*l - 3. Let u(i) = -3*i**3 - 8*i**2 - 13*i + 6. Let a(d) = -5*k(d) - 3*u(d). Calculate a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*x - 54, 5*x + 0*g + 3*g = 70. Let f = 25 - x. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 2\/13, -2\/7, -1\/3, 14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 446*m - 703 + 2002 + 1378 + 445 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1369784251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488268283?\nAnswer: 488268283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*j + 13 = 0, -3*l + 15 = j + 41 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(5\/(-5)*2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 - (-8)\/(-3))\/(54\/(-162)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 3*h**2 - h + 2. Calculate t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*4145\/(-10). Let u = z - 209. What is the common denominator of u and -7\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - 7\/(7\/2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3530 - 3526. Solve -2*r = -3*l + 11, 2*r - u*l = -19 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -245, -263, -299, -359, -449, -575?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from orroooro.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 2\/3*s**3 + 0*s + 13\/2*s**6 + 0*s**4 + 121 - 68*s**2 + 0*s**5. What is the second derivative of b(j) wrt j?\nAnswer: 780*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 3, d: 2, e: 4}. Give prob of picking 1 d and 1 e.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-6))\/(1\/3). Suppose 0 = -2*b + r + 47. Suppose -3*y + 2*i + b = -0*y, i + 26 = 3*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 269178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 185*c + 10916. Calculate i(-59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121326324 by -5.\nAnswer: 121326324\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 54 = 2. Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (13 - 39) - 12) + 15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000903124 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*45\/(-27)*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiuuorususrsu. Give prob of sequence re.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.27 - 0.17. Which is the nearest to o? (a) -3\/4 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(((a*a**(-1\/29))\/a)\/a)\/a)\/(a**(-26)*a) assuming a is positive.\nAnswer: a**(695\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3 + 1\/15. Which is the second smallest value? (a) -11 (b) 2\/23 (c) -0.13 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8815 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:17 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyff when four letters picked without replacement from {e: 1, y: 1, f: 11}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(45)) + sqrt(80)\/sqrt(4) + -5 + sqrt(80)*-1 + -2 + 2 + 4.\nAnswer: -1 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 8 - 5 - 4. Let w(b) = 6*b**2 - 8. What is -24*g(c) + 3*w(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + 2?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2244)\/(-18) - ((-17)\/(-3) - 5). What is the greatest common divisor of u and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 2 d when four letters picked without replacement from xxxdxedqddx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(172*l + 2 + 11 - 11 + 757*l).\nAnswer: -929*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -21.5. Put 9, v, -0.1 in descending order.\nAnswer: 9, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 511791*c**2 - 1023638*c**2 + 511770*c**2.\nAnswer: -77*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 24*t**2 + 11*t + 12. Let w be h(-4). Let n be (-4)\/10 - (-8 + w\/20). Let m(g) = g. Give m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v + 2*m = 2, 0 = 3*v - 3*m - 18. Suppose -v*n + 12 = -10. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -976.5 - -976. Let d(v) = -v**2 - 6*v - 7. Let y be d(-7). Let r = 23 + y. Which is smaller: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*k - 1 - 24 = 0, -16 = -3*q - k. Find the third derivative of q*t**4 - 7*t**2 + 5*t**5 - 5*t**4 + 2*t**5 wrt t.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 115. Let z(r) = -r**2 + 6*r + 8. Let v be z(i). Let h be (35\/28 - v)\/((-2)\/(-40)). Solve o - 10 = 4*o - 4*w, 0 = -o + h*w - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t + 5*t + 99620800 = 0. What is t rounded to the nearest ten thousand?\nAnswer: -2620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14147 - -19924. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2235*s + 10*s**3 - 8*s**3 - 5*s**3 - 2232*s.\nAnswer: -3*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 4)*((-6*x**3 + 3*x**3 - 4*x**3)*(3 - 7 + 3) - 2*x + 2*x + 2*x**3).\nAnswer: 27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(30\/(-240))\/(1\/4)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 1:40 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65 - -67. Suppose -3*w + b*t = -103, -2*w + 54 = t - 24. Let z = 39 - w. Solve 4*f + z = 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 136\/937?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a meter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -660 + 669. Suppose 0 = 2*j + 3*j - 485. Let g = j + -34. What is the greatest common divisor of g and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 779 - 586. Calculate the remainder when n is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1037.52 - -976. Let t = k - -63. Let o = t - 1.4799882. Round o to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 2058310?\nAnswer: 4116620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 3911 = 971. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/6, -2, 3, 17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-2\/11)))\/f)\/((f*f**6)\/f*f)*f**5*f**(-1) assuming f is positive.\nAnswer: f**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c + 13. Let x be v(-11). Let t be -1 + 116\/x - -2. Suppose 0 = 2*y - 5*b - 17, -7 = -5*y - 5*b - 17. Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 9*m + 1. Suppose 3*v + 13 = h - 1, 2*h = -5*v - 16. Suppose -2*t = h*s + 2, -s - 2*s + 2 = 4*t. What are the prime factors of k(s)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*((-3)\/2)\/3*(-5798)\/(-2899).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 + 1 + 5*u**2 - 1. Let i(x) = x + 2*x - 5*x + x. Let z(b) = 3*b. Let f(g) = 5*i(g) + 2*z(g). What is s(f(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/2 (c) 1\/1021 (d) -72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6177*i**2. Let y(k) = 41*k**2. Calculate y(r(a)).\nAnswer: 1564368489*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6*v**2 - 1. Suppose 6 = -7*c - 1. What is g(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 1. Let w = -6 - -1. What is the units digit of s(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4000, -2625, -1252, 119, 1488, 2855, 4220?\nAnswer: 5583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18902769 to the power of 1\/2, to the nearest integer?\nAnswer: 4348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, -794, -1, -15 in descending order.\nAnswer: 2, -1, -4, -5, -15, -794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1960 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 7*a - 5. Let l be k(-5). Factor -3*c**3 - l*c + 4*c + 2*c**3 + 3*c**2 - c.\nAnswer: -c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*w + 2*u + 69, -139 = -4*w + u. Suppose w*p + 20203648 = 160203648. Round p to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.2431125 to 3 decimal places.\nAnswer: -11.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2. Let w(u) = -2*u**2 + 78*u - 145. Let j be w(37). Let i(k) be the second derivative of 0*k**j + 0 + 0*k**2 + 1\/3*k**4 + 7*k. Give i(s(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*p**4 - 11 + 13 + 2*p**2 + 6*p - 4*p + 267*p**3 to l + r*p**3 + c*p**2 + a*p**4 + x*p and give r.\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29376 divided by -204.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -3*o**3 + 234*o**2 + 759*o - 2430 = 0.\nAnswer: -5, 2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 36. Calculate the greatest common factor of 637 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1213*t**3*z**5 - 4982*t**3*z - 2*t**2*z**2 wrt z.\nAnswer: 24260*t**3*z**3 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -15 (c) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/5)*u*u*(u\/(u\/((u**(-6\/19)\/u)\/u*u)*u))\/u*u)\/((u*u\/u**5*u*u)\/u**(-18)) assuming u is positive.\nAnswer: u**(-1797\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1 + u + 0*u + 2 - 5. Let q be a(6). Solve q = 2*h + 5*p - 0, -3*p = -h - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097722?\nAnswer: 2, 548861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1628389055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*r - 649, 0 = 5*n - 3*r + r - 641. Suppose -x = 4*h - 0*h - n, -h = -5*x + 624. Let k = x + -73. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017681 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.2. Let w = -613329.95 - -613330. Which is the biggest value? (a) 0.06 (b) h (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -2\/5 (b) 16 (c) -4 (d) 1.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 520*c**3 + 1548*c**2 + 1544*c + 514.\nAnswer: 2*(c + 1)**3*(c + 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -178, -602, -1424, -2776, -4790, -7598?\nAnswer: -11332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308645.\nAnswer: 3, 5, 13, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10101001 (base 3) to base 5\nAnswer: -34313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13715 or 13712?\nAnswer: 13712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + 54\/10. Let l(v) = v + 1. Let p be l(n). Calculate the greatest common factor of p and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*v + 15 = -15, 6 = -s + 3*v. What is the common denominator of ((-496)\/(-104))\/(1 + 69\/s) and 61\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432\/(-120) - (-5 + 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 690a9 - -19?\nAnswer: 690c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348249138 divided by -895242.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39297 divided by 58?\nAnswer: -39297\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1 + 1 + 0). Suppose 0 = 3*f + i + 1421, 5*f + u*i + 2340 = 4*i. Let g = 10854\/23 + f. Is g > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 6*f + f)*(-2*f + f + 0*f)*(113 - 75 + 103)*(-13*f - 17*f + 5*f).\nAnswer: -7050*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-4)*11\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**3*f**2 + 4*a**3 + 12*a**2*u + 2*a*f**2*u - 2*a*u + 60*f**2 + f + 10 wrt f?\nAnswer: 4*a**3*f + 4*a*f*u + 120*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7814*y. Let j(l) = 32289*l. Calculate j(x(o)).\nAnswer: 252306246*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v - 84. Let o be m(17). What is the nearest to -2\/15 in -0.5, 3, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*g**2 - 82 + 118*g**2 - g - 44*g**2 + 36.\nAnswer: 24*g**2 - g - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2386*u + 2. Let x = -8 - -15. Let w be l(x). What is w rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 10:19 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**3*s**2 + 12505653*l**3 - 18*l**2*s**2 - l*s + 68634*s**2 wrt s?\nAnswer: -2*l**3 - 36*l**2 + 137268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2. Suppose 4*w - 13 - 39 = 0. Let a(r) = w - 2*r - 6 - 7. Determine k(a(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20782139?\nAnswer: 7, 2968877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(1 - q - 1).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -528*v + 501*v + 4*v**2 - 17*v**2 wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041 + -7906546215482?\nAnswer: -7906546215482.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/579845 and 24\/35.\nAnswer: 579845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 11\/((-66)\/(-12)). Suppose 0 = 5*p + 2*m - 58, h = 17*m - 19*m + 8. Calculate the greatest common divisor of 80 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 37*l + 16. Let x be y(-12). Let m(j) = -2*j + 5. Let s(n) = -1. Let o(d) = 1. Let h(b) = -5*o(b) - 4*s(b). Give x*h(c) + m(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(24)*-2)\/(sqrt(512) - (sqrt(512) + (sqrt(512) + sqrt(512)*-1 - sqrt(512) - sqrt(512)) + sqrt(512))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 25*f**3 + 15*f**2 + 225*f + 270 = 0. What is f?\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 705667027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(63\/(-12))\/3. Let v = -29\/10 + u. Suppose -q = -2*m - 13, -3*q + 23 - 4 = -2*m. Which is the nearest to -1? (a) 0.1 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203457403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-8\/3)\/x)\/x))**(16\/7)\/((x\/x**1)\/x**(-2\/41)) assuming x is positive.\nAnswer: x**(11110\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/50 + 3316\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 + 632754920\/(-48). Let o = p - -2059175561\/156. Let v = o - 17448. Find the common denominator of v and 35\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 - 384*x**2 - 5963*x - 7. Give a(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.962 times -0.3?\nAnswer: -7.1886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1430 divided by 1430.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00050200664 to seven decimal places.\nAnswer: 0.000502","meta":{"dup_signals":{},"source":"numbers__round_number_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: What is the second derivative of -104637*l**2 - 165176*l wrt l?\nAnswer: -209274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-36273152)\/(-1792) - (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1907500*c**3 - c**2 - 41*c - 148. Let l be z(-4). What is l rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 374212 - 4.\nAnswer: 374208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/4 + 3)*(1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paagakgkggaaagggkgka. Give prob of sequence ka.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 4 = -2*z + 1, -5*j = -2*z + 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-30)\/(-12)*(-4)\/(-5). Let g be (0 - (2 - b)) + 12\/6. Let y be (1 + -2)*(0 + -3). Put -2, y, g in descending order.\nAnswer: y, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.87762955 + 1946.87677855. Let r = -1929 + x. What is r rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2620 - 0?\nAnswer: -2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 534577 to the power of 1\/2, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 464*l - 436*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/(-20) + 8)\/(1 + 0\/5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*f**2 + 339*f**4 + 3 - 2*f**3 - 341*f**4 + 8*f**2 to h*f**2 + s*f**4 + g*f**3 + j*f + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -586.45958 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 0 + 305*s**2 - s.\nAnswer: 305*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1890 + -1886. Suppose 0 = -d - 4*u + 16, 6*d + 5*u - 20 = 3*d. Suppose 5 = l - d. What is the smallest value in l, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-1))**(30\/13))**(49\/5) assuming k is positive.\nAnswer: k**(1176\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 + m**3 - 2*m**3 + (5*m + m - 5*m)*(0*m**2 + m**2 - 2*m**2) - 4*m**3 + 4 - 4 + 2 - 2 - 4*m**3 as c*m**3 + u*m + v*m**2 + p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 15 = -10*h. Suppose -5*k = -5*u - 180, 2*k = -4*u + 46 + 50. Calculate the highest common factor of h and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3630 divide 500026929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47835655.\nAnswer: 5, 7, 67, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (178 - 84)\/(2 - (-1502)\/(-752)). Let i = 59313 - n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9381776?\nAnswer: 2, 586361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:53 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4 + 108255*n**3 + 75556728*n**2 = 0 for n.\nAnswer: -35373, -712, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/((y*y*y**(1\/10))\/y))**(-6\/13)*(y**(-1\/5)\/(y*(((y*y\/(y\/y**(-8)))\/y*y)\/y)\/y))**(8\/11) assuming y is positive.\nAnswer: y**(4419\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 2. Calculate the remainder when k(-6) is divided by 4\/(-14)*(-70)\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/29)*z*z*z**(-5\/2))**(-5\/7))**22)**(-1\/16) assuming z is positive.\nAnswer: z**(-1375\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 2.5 (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 5*o - 988430*o**3 + 212614*o**3.\nAnswer: -775816*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 57*o - 90.\nAnswer: 3*(o - 5)*(o + 2)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 3.9. Suppose -3*b - 5 = -2*b. Sort s, b, 0.2 in increasing order.\nAnswer: b, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 7*w**2 + 7*w - 10. Let c be 1 - 3 - (-12)\/(-2). Let u be v(c). Let p be (-2 + 1)*(u - -5). Sort p, 1, 0.\nAnswer: p, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 116 = 25*f. Let y(p) = -p**3 - 2*p**2 - 7*p. Let b(x) = -x**3 - 3*x**2 - 7*x + 1. Let r(a) = -5*b(a) + 4*y(a). Calculate r(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.3 (c) 39.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**31*s)\/s)\/s*s\/(s\/(s\/s**(-1\/42))) assuming s is positive.\nAnswer: s**(1303\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -7 + 1 - 8 + 4*l**2 + 5*l + l**2. Differentiate a(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128847.134 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 - 10*b + 4. Let g be a(8). Suppose -g - 204 = -4*l - 2*j, 5*l + 3*j - 400 = 0. Let c = 144 - l. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1576 by -3.\nAnswer: 1576\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - 19*y - 2. List the prime factors of f(18).\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*z + h, 3*z + 239*h - 242*h = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - w - 4 = 3*n, -6 = -3*n + 5*w. Let l be n - (-12)\/(-1 + 4). Let s be -1 + (1*12 - 0). Calculate the greatest common factor of l and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) 35 (c) 0.5 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259746569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143859891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/13 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {f: 5, e: 3, u: 5, b: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518085.\nAnswer: 3, 5, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201930 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 353.64 + -353.6400071918. What is x rounded to 7 dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74305, 6, -2, 2 in descending order.\nAnswer: 74305, 6, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 14 - 6) + -12 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 831 + -1?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5 less than -0.01?\nAnswer: -27.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 17*r + 90. Let j be -1 - 0 - 3*-2. What is the greatest common divisor of r and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from iiiliiiipifopoiioip?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680549 is divided by 101.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*w - 3402*w**3 + 3399*w**3 + 362*w + 1426 - 1426.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 582300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 212*a**2*x - a**2 + 3*a - 19196*x**2 - 1980971 wrt x?\nAnswer: 212*a**2 - 38392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 4, -0.4, 3\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5616796.\nAnswer: 2, 103, 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -890.\nAnswer: 3\/890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 1089.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 12*w**2 - 19*w - 38. Determine d(14).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.12 (c) -6422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4.5, -1.282, -2?\nAnswer: -1.282","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, 516, 489, 442, 369, 264, 121, -66?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183 rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-3 - -1) - (-4 + -35 + 9 - 109)?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1*3\/126.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2000 + -1217. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = f - 1, f - 245 = -3*h - 240 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -0.5, 6\/15311, 21 in increasing order.\nAnswer: -3\/4, -0.5, 6\/15311, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/20580)\/(2\/(-12))*(-7)\/4.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-77) - (-1 - (-46)\/7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*x + 7 + 21 = 0, -3*x = -z - 10. Let q = z - 58. Round q to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-4 + 33)) + 2924 + -2958.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0 = -15. Suppose 10*x = b*x + 45. What is the units digit of (-16)\/(-6) - 6\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1987 - 2105 = -59*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/28)\/(12\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26006.69 from -0.4.\nAnswer: 26006.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5032227 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 6. Let o be j(-6). Let b be 3\/9*o\/(-2). List the prime factors of -10*b\/(-3 - -2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 11210*f + 22440.\nAnswer: -5*(f - 2)*(f + 2244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1122 + 210 = 3*w. Let l be (-6053 + -1)\/((-8)\/w). Suppose -m = 5*n + 3*m - 419988, -4*n - m = -l. Round n to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 21. Is c at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*o + 34, -d = -4*o - 25 - 52. Which is bigger: -20 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -10148558\nAnswer: 142079812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5 - 98*f**4 - 3*f**3 + 1932*f**2 - 640*f = 0. What is f?\nAnswer: -32, -5, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 0.031\nAnswer: -0.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1734 = 68*a - 102*a. Let p = 29 + 23. Is a < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -9. Let i = a + -7. Calculate the remainder when 7 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1862 (b) 4\/3 (c) 2 (d) -22\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -33. Suppose -4*a = 3*s - 25, 2*a = -0*a + y*s + 30. Let z(b) = 4*b**2 - b. Let h be z(-1). Solve -h*w = -0*w - a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 86, 4, -3, -1, -2 in descending order.\nAnswer: 86, 4, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31493851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose 3*h + g*l = 0, h - l + 2 = 4*h. Let y = -2 + h. Which is smaller: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -11663 - (-71 + 79) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 2, w: 1, e: 1, l: 1, t: 1}. Give prob of picking 2 e and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -905, -9\/2, 0.5, -4\/3, -2.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/3 - 70509*y - 6771936.\nAnswer: (y - 211623)*(y + 96)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 0 - 11*a**4 + 1 + 0 wrt a?\nAnswer: -44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 13*s - 7. What is the tens digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y**2 + 4*y**2 - 2*y - 6*y**2 - 20*y**2 + 2*y**2 to the form s*y + o*y**2 + h and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*f - 4*i, -51*f - i = -55*f + 87. Suppose -165 = 3*x - 552. What is the remainder when x is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1096997 and 341.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and 0.8.\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**2 + b**2 - b**2 + (-b + 0*b + 6*b)*(0*b - 3 - b + 4*b).\nAnswer: 12*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22612a (base 11) in base 9?\nAnswer: 607150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -408826666*a**3 - 62927805*a**2?\nAnswer: -2452959996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -102 (b) -5 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0 + 0*c - 4*c**2 + 1\/6*c**4 + 0*c**3. Let d(a) = a. Determine d(g(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -495950351\/3600 - -137764. Find the common denominator of 37\/55 and h.\nAnswer: 39600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 2*a**4 - 3 + (a**2 - 6*a**2 + 3*a**2)*(0*a**2 + 0*a**2 + 2*a**2) + (4*a**2 - 4*a**2 - a**3)*(2*a - 3*a + 5*a).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 17*w - 107 - 7*w + 106. Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1584*u**2 + 2312*u**2 + 5846*u**2.\nAnswer: 6574*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/2, -2\/5, -1, 2.8, 3 in descending order.\nAnswer: 3, 2.8, 2, -2\/5, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 66\/21 - 2. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1177 = 4*i - 5*i. Let f = i - 11023. Round f to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwzdqdddvz. What is prob of sequence wd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 - 12*o**2\/11 + 7424*o\/11.\nAnswer: -2*o*(o - 58)*(o + 64)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (5 - 5 - 22)) + (-2 - 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x - 3. Let s(o) = 87940*o + 92337. Determine 2*s(n) + 61558*y(n).\nAnswer: -8794*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11966 in -0.1, 1\/8, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -515 (base 8) in base 12?\nAnswer: -239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 3:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*(v\/(v*v**(-5)))\/v*v))\/(v*v**(5\/4)))\/(v**4)**7 assuming v is positive.\nAnswer: v**(-141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g + 6. Let w(h) = 3*h**2 - 5*h - 13. Suppose 5*a - 3*a - 17 = 3*s, 5*a = 5. Determine s*f(x) - 2*w(x).\nAnswer: -x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from kjjjjjjjjjjkjjkj.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72.1, 218, -3\/29 in descending order.\nAnswer: 218, -3\/29, -72.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2026 divided by 6.\nAnswer: -1013\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*q**3 + 4*q - 4*q.\nAnswer: -157*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuvuuuvuuvvuuyuvuu. Give prob of sequence uv.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365 divided by 245?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l + 44. Let g be b(0). Let o = g - 37. Let d(t) = 5*t**2 - 3*t**2 + 1 + o*t**2 - 10*t - 8*t**2. Give d(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1471 + 16.8529. What is the nearest to -2\/473 in 5, -0.5, 2, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:06 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/14)\/240*(-3)\/(-2)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*x + 15 = -2*d, -d = -4*x + 6. What are the prime factors of ((-7)\/d)\/((-19)\/(-190))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - sqrt(114)*-2) + sqrt(114))\/sqrt(6) + 5.\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 4}. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6 - 1 + 140*w**3 + 149*w**3 - 449*w**3 + 159*w**3 + 12*w. Determine g(6).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 135 = 3*p - 0*p, 2*p + 5*d - 97 = 0. Suppose l = -8*f + 5*f + p, 196 = 5*l - 2*f. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times -1.2?\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 815.8 and 570.06?\nAnswer: 245.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 28*v - 26. What is the least common multiple of h(12) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13742866 is divided by 1467?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 6*d**2 - 5*d + 6. Let b be n(-5). Suppose b*g - 5 = g. Is 6 a factor of 0 + -1 + g - -12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - t**2 + 10*t. Let v(s) = 16*s**3 + 6*s**2 - 50*s. What is 11*r(d) + 2*v(d)?\nAnswer: -d**3 + d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 128 + (-17 - (-61 - -78))\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a**7)\/a*a*a**(2\/13)*a*(a\/a**(1\/7)*a)\/(((a\/a**(-2\/9))\/a)\/a))\/((a\/(a**(-4\/7)*a*a))\/(a*a**(-3))*a**(7\/4)\/(a*a\/a**(-7))) assuming a is positive.\nAnswer: a**(60499\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-1 - 0))\/((-15)\/(-75)). Let n(y) = -y**3 - 3 - 6*y**2 + y**2 + 0*y**2. Determine n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -218, -460, -726, -1016, -1330, -1668, -2030?\n\"Answer: -12*n**2 - 206*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414297939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.9885 - -56. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -139643257.9 to the nearest ten thousand.\nAnswer: -139640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -171*l - 381. Determine v(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1871, -1865, -1847, -1811, -1751, -1661, -1535?\nAnswer: -1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 4. Let k be d(4). Let f be (4 - k) + -1 + 0. What is v in f*v + 0*v**2 + v**2 - 2*v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 23*j - 5. Let i(t) = 2*t**2 + 25*t - 5. What is 4*i(m) - 5*y(m)?\nAnswer: -2*m**2 - 15*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - y = 8, -5 + 12 = 3*s - 2*y for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.056, -51, 87, 8, 0 in ascending order.\nAnswer: -51, -0.056, 0, 8, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 8*d**4 - 16*d**4 + (d - d + 2*d**3)*(2*d - 2*d + d) in the form p*d**3 + j*d**2 + r*d**4 + o + u*d and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/537 - 545\/2148. What is the nearest to 1\/4 in 1\/3, j, -1\/3, -3\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o - 380 = 0. Suppose -2*c - o = -6*c. Suppose 4*r = -r + c. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7192 (base 11) to base 4.\nAnswer: -2111003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545678 divided by -1997?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2715*d - 129942. Determine s(-48).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-12)*(-9)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -2*b**9\/63 - 23*b**5\/30 - 32*b**2. What is the third derivative of y(k) wrt k?\nAnswer: -1920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -0.13, 6\/13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(1680\/(-896))\/(175\/28)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 826.9 - 827. What is the third biggest value in 2\/9, 0.2, i, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/55 (b) 2\/5 (c) -1\/11 (d) 2\/17 (e) 8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 979.1655 decades?\nAnswer: 97.91655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (4848831\/(-351))\/((-4 - -2)\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 4. Let l be 0*3\/6*12\/24. Determine o(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218192839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40684329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/559 (b) 43 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2445 - -2448. Sort 0, -1, y, -104 in decreasing order.\nAnswer: y, 0, -1, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f + 6*f + 46*f - 57*f + 42*f.\nAnswer: 46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -21\/767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 365ba5 (base 12) to base 16\nAnswer: d726d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2*s = -1188, -2*s + 1202 + 284 = 5*l. Suppose -2*k + l = 290. Solve -3*m - 3 = 3*w - 2*m, -m = -k*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -856257 = -856257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4748 - -0.0748. Which is the nearest to w? (a) -1 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157 - 70. Let l = 94 - t. Suppose 270 + 248 = l*p. Calculate the remainder when p is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/70*(-6)\/10\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnl when three letters picked without replacement from {l: 2, k: 1, n: 3, f: 10}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -213*v + 5533. What is t(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -14. Let o(w) = -19*w**a + 39 + 16*w**2 - 39. Let d(v) = -19*v**2. Determine d(o(x)).\nAnswer: -171*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -18 (b) 3\/2 (c) -39.8 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -0. Let f be (-1 - -1)\/(-4 - m). Suppose -a + 4*z + 30 = f, -5*z = 5*a - 0*a - 175. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8*w + 2 + 18*w)*(-35 - 50 - 120) in the form j*w + m and give j.\nAnswer: -2050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377458937 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 4. Let c(o) = 27 - 41 - 2*o + 25. Determine -3*c(w) - 8*h(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-14))\/(10\/60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -d1 (base 16) to base 9\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Suppose 2*u + 6 = -l. Let n(o) = -2*o. Calculate the remainder when 38 is divided by n(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -16. Suppose f*w - 2 = 9*w. What is the smallest common multiple of w and (-2)\/(-2)*1*22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/56 - (-1368)\/42. Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5 + 0 + s**2 - 82*s.\nAnswer: s**2 - 82*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-8 + -5 - -16). Let x(i) be the third derivative of 14*i**2 - 1\/96*i**4 - 1\/120*i**5 + 0*i - 1\/480*i**j + 0*i**3 + 0. Solve x(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/12 - u**3 + u**2\/2 - 19*u. What is h(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 42*w - 166. Let k be y(4). Solve 0*i + 3*l - 14 = k*i, -i - l = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + 6*u**3 - 5*u**3)*(-4 + 3 + 3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4, 4, -10, -50, -128, -256, -446, -710?\n\"Answer: -2*z**3 + 5*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1668 = -5*y, y + 2*v - 348 = -0*y. What is the remainder when y is divided by 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13075532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 295 = 53. Calculate the remainder when o is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84912906.3 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-382)\/(-5)*1\/(-6). Let r = d + 72\/5. Which is the biggest value? (a) 0 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -7*b**6\/20 - b**5\/30 + 149*b**3\/6 - 355*b**2. What is the third derivative of a(u) wrt u?\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:13 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 12*t, -11*t + 11 = -n - 8*t for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27355 + -27160. Does 199 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, -5, 0.05, -4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.519 - 2.119. Suppose -3*k - 3*m + 11 = -2*m, -4*m - 8 = -k. Sort 1, k, z in ascending order.\nAnswer: z, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 12 = l - 7, -3*k - 29 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2985*a**2 + 2 - 34*a**2 - 2.\nAnswer: 2951*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3027660*i - 669582?\nAnswer: 3027660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1213 - -1233. Solve -4*g + 2*g + 3*k - l = 0, 2*g = 2*k - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9*j - 2 + 4 - 3*j as n + p*j and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*r + 31*r - 36*r)*(-8 - 9 + 1 - 10) + (-1 - 2 + 2)*(2*r + 0 + 0).\nAnswer: -574*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (297\/(-15))\/(-3) - ((-216)\/(-60) + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.152 in -2, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u**2 + 5*u**2 - 5 + 16*u - 6*u. List the prime factors of i(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-114) - (-1)\/(-3). Let j = 7572.2 + -7572. Which is the closest to j? (a) x (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**2 + 260470*s + 3392231045 = 0?\nAnswer: -26047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(168\/(-6))*8*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -o + 2*a + 9, 0 = -2*a - 6. Suppose -1758 = -o*j - 6*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*g - 113 = -165, 2*v + 32 = -2*g. Put -4, v, -1, -2 in ascending order.\nAnswer: v, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 13*c**2 + c. Let r be -3*-1*2\/3. Suppose -r + 3 = -m. List the prime factors of k(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 1. Suppose 3*p + p - n*x = 20, 3*p - 17 = 2*x. Suppose -92 = -p*u + 19. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.095 * 2.59.\nAnswer: -0.24605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:07 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 1:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 40074.\nAnswer: 40078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 94 divided by -1\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -276539867 and -8.\nAnswer: -276539875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 110. Let t be b(-16). Let w = -59 - t. Solve 0 = 3*l + 9, -5*l + 8 = 4*x + w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 7:28 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-33) + (-10)\/(-270)*30*-6 - -11.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*a**3*k**2*w + a**3*k**2 - 5*a**3*w + 23*a**2*k**2 + a**2*k*w + a**2 wrt a.\nAnswer: 48*k**2*w + 6*k**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -101031122?\nAnswer: -101031120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 4*q - 4. Let o be l(5). Solve -o = -5*k + 4*i, 2*i = -2 - 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/35 in -3, -0.5, 93?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13877?\nAnswer: 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003506077178 rounded to 7 dps?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01568 + -1.98432. Let p = 3.9 - -1.1. Let o = -0.3 + 0.6. Which is the fourth biggest value? (a) p (b) -0.06 (c) f (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i - 12. Let q be s(7). Let j be 0 - (1 + (-8)\/q). Suppose -2*t - 6 = 0, 2*t = -j*c - 2*t + 381. What are the prime factors of c?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-16)*n)\/n)\/n*n)**(10\/3)\/((n*n**(-5\/12))\/(((n*n\/(n**(4\/3)\/n)*n*n)\/n*n)\/n)) assuming n is positive.\nAnswer: n**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*s + 13. Suppose 2*j = -2*j + 48. Is (116\/6)\/(s\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*b - 2530 = 1039. What is the remainder when 53 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1\/337 (c) -1\/4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/((-7)\/(-98)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6)**20)**(2\/21) assuming u is positive.\nAnswer: u**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -3, 41, 3, -219 in decreasing order.\nAnswer: 41, 3, -1, -3, -6, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let n(z) = 13 + 2*z**2 + 16 - 29. What is o(n(t))?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -1\/23, 2\/81, -0.5?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*p + 1 - 1 + 6*p - 4*p + p + (2 - 5 + 4)*(-1 + 1 - p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -8. Suppose 0 = -5*l + 47 + 93. What is the remainder when l is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 840*x - 27314 = 11921 + 20867 - 10542 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 43. Let o(s) = -s**3 - 14*s**2 - 11*s - 1. Let p be o(-13). Let j be (-32)\/(-6)*p\/(-6). What is the highest common factor of j and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1444 - 6 = -50*s. What is the highest common divisor of s and 2668?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/66 - (-15 + 16))*(-23)\/92?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)\/f)\/(f*f**(-6\/13)) assuming f is positive.\nAnswer: f**(-119\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*i = 108*i - 23145. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 196?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -926*h + 91. Let m(f) = 308*f - 35. Give -8*m(l) - 3*o(l).\nAnswer: 314*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-2))\/((-1)\/(-1)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3993696 and 4816.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v - 28. Let l = 44.6 - 39.6. Put v, 3, l, -2 in increasing order.\nAnswer: -2, 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -40\/58579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 29*t - 2582. Give i(184).\nAnswer: 2754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 75*o**2 - 135*o + 65 = 0. Calculate o.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 378127*-0.3\nAnswer: -113438.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, 2, -1416?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 5. Let a(s) = -2*s - 3. Let i(b) = -5*a(b) - 3*p(b). Let r be i(11). Solve -5*m + 2*l + 19 = 0, r = m + 4*l - 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 49716591 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 24 = -3*b, 7*b - 6*b - 2 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -3\/4, 29.14, 1\/7?\nAnswer: 29.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/7 + 6*p\/7 - 20 = 0.\nAnswer: -10, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 176\/2728 - (-120)\/1023. What is the third smallest value in -6, -0.4, g, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4.6, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (sqrt(2736) + 1)**2 + 1 - (5*(sqrt(2736) + 0 + sqrt(2736))**2 + sqrt(2736) + sqrt(2736))) + (5 + sqrt(2736) + -1 + 2*sqrt(2736) + 0)**2.\nAnswer: -27342 + 300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5197*o**3 + 3239*o**2 + 2 wrt o?\nAnswer: -31182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:33 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 787\/2*(2 - 0). Suppose t - 117 = 5*o. Let q = o - 96. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 37.0000038. Round h to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-4)\/(1392\/(-353)). Let s = j + -1991\/696. Find the common denominator of 43\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -41 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**2 - 9*l - 9. Let p(h) = -5*h**2 + 9*h + 9. Let f(u) = 6*j(u) + 5*p(u). Let a(v) = v**2 - 2*v - 2. Let n = 125 - 121. What is n*f(r) - 18*a(r)?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j**3 + 44*j**3 - 1177 + 1177 + j - j.\nAnswer: 133*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*((18*y - 5*y - 4*y)*(-14 - 27 + 2) + (4 - 6 + 3)*(-y - 4 + 4) + 5 - 5 + 5*y) to v*y + f and give v.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 0 - 2*1. Let g(a) = -a**2 - 2*a + 4. Let j be g(-3). Let v = -9 - -4. Sort v, c, j in ascending order.\nAnswer: v, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1937 + -470. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 3*q - 6. Let i be m(4). Let o be i\/12 + (-8)\/(-48). Suppose -3*n + 7 = t, -4*t + 0 - o = -3*n. Let h(w) = -5*w**2 + 2*w. Give h(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 35*r**2 - 918*r + 2055. Determine d(-53).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxb when three letters picked without replacement from xuubbbbbububuuux?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1680369*r**3 - 506180*r wrt r?\nAnswer: 10082214*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/216 and -113\/522.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*i - 0. Let h be ((-21)\/i)\/((-2)\/(-6)). Let a(s) = 2*s**3 + 34*s**2 + 31*s - 10. Let m be a(-16). Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/8 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -54*o**5 + 38*o**3 + o + 1617. What is the third derivative of k(i) wrt i?\nAnswer: -6480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(4\/(-16)*-2). Suppose -2*w + 6 = -p. Suppose -7*v + w*v + 16 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29274 by -1.\nAnswer: 29274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chffxffcfxfcffc. Give prob of picking 3 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 7*q**4 + 14*q**3 + 27*q**2 - 124*q + 28. Let c(v) = -8*v**4 - 14*v**3 - 26*v**2 + 126*v - 22. Let z(t) = -6*c(t) - 7*j(t). Let z(h) = 0. What is h?\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/109918028 and -7\/59955288.\nAnswer: 659508168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417*s**3 - 388*s**3 + 1358*s**3.\nAnswer: 1387*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 3, 0, 1150 in decreasing order.\nAnswer: 1150, 3, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50335257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337439, 337440, 337441?\nAnswer: 337442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 - 97*p - 728.\nAnswer: (p - 104)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (61 - 25) + -47 + -26?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t + 48 = 50*t. Let m be ((-20)\/t + -1)\/1. Solve 1\/2*b**2 - m*b - 1\/2 + 1\/4*b**3 = 0 for b.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178026312?\nAnswer: 2, 3, 17, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (11 + -7 - -3 - (-1 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 786782543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than 12429372200?\nAnswer: 12429372199.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 40, 1\/19 in descending order.\nAnswer: 40, 1\/19, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1517261*w + 2991760?\nAnswer: -1517261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**4\/4 - 7*x**3\/3 + 3*x**2\/2 - 7*x + 1. Suppose -k - 2*c + 4 + 3 = 0, 0 = 4*c. What is i(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1755335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.027 - 10.673. Round u to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12287 = -5*w - 7274, -19555 = 5*w - 5*x. Let y = -2654 - w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5158820 divided by -75865?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 11:55 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -69 + 54 + 78 + -51\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*f**2 - 65*f - 10.\nAnswer: 5*(f - 1)*(15*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -119 + 4. Let g = s - -50. Let n = -66 - g. What is the nearest to n in -1\/2, 0, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 946529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 596 - 2876 = 0. Let i = l - 271. Suppose -p = -51 - i. Does 32 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51, 148, 309, 534?\n\"Answer: 32*s**2 + s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11587.6 + -11588. Which is the fourth smallest value? (a) -5.7 (b) 1 (c) s (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9398470397 - -5\nAnswer: -9398470392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(343)*-2*1 + (sqrt(343) - (sqrt(343) - (sqrt(343) + 1)*2)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397029520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 5586\/382303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 17 + 3. Let r = -28.3 - -30.3. What is the closest to 0 in 2\/9, k, r?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 + (-14 - (-1865)\/312) and 41\/288.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = -2*x, 0*x - 3*x - 12 = 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 9*f**2 + 9*f + 5. Let q(m) = 2*m**2 - 3*m - 3. Let s be q(-4). Suppose s*t = 35*t + 42. Determine w(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -67, -76, -85, -94?\n\"Answer: -9*a - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165\/165)\/((-6)\/594*-21).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 4*d**2 - d - 4. Let o(v) = -v**3 - v**3 + 4*v**3 + 10*v + 12 - v**3 + 10*v**2. Let u be o(-9). Give g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eighteen fifths of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:37 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 0*z + 2*z - 7*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 21, 85, -4, 2, -41\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -3*r - 45, -v = 5*r - 162693 + 162704 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 409 = -3*b - 5*h, 4*b - 2*h + 522 = 0. Let y = b + 128. Suppose y = 9*i - 488 - 943. Does 53 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.785 - -43.215. What is the nearest to 0 in -2, 0.2, s, -5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-100)\/2)\/((-2)\/4287*(-105)\/(-35)). What is the greatest common factor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2416*c**2 + 4926*c**2 - 2198*c**2)*(c - 2 + 2 + (2 - 5 + 1)*(-c + 0*c + 3*c) - c + 1 - 1 + 2*c - 3*c + 3*c - c + 0 + 0 - 2*c + 5*c - c).\nAnswer: -312*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + 1)\/(9\/18). Let s = t - -29. List the prime factors of 283\/5 + s\/(-25).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60100 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 -2\/3? (a) -24 (b) 0.2 (c) 1\/3 (d) 41.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.048 and 8966?\nAnswer: -430.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/(-186))\/(-2)*-14*(45\/(-2))\/5.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 508008584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12789 - 12794. Let l(p) = -p**2 - p - 1. Let m(d) = -3*d**3 + 5*d + 5. Give r*l(u) - m(u).\nAnswer: 3*u**3 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 + 21268*q**3 + 42526*q**2 - 21268*q - 42528 = 0.\nAnswer: -10632, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*n = 7*s - 702*n + 31, 0 = -8*s - 5*n - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3, 29, 40648\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by (4\/8)\/(13 + 6852\/(-528))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 744 - 98*w - 744 to a + y*w and give y.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 604 = 2*c, c - 5*c + 1196 = -4*s. Suppose -10*y = -4486 + c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -235*w**2 + 2*w - 20. Let r be q(-6). Let c = 12079 + r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1427, 1444, 1461, 1478?\n\"Answer: 17*h + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19264433929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 571731909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5470849 + 10223.99.\nAnswer: 5481072.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*x - 27 = 0. Let n(v) = v**2 + 2 - 2 - 1. Calculate the lowest common multiple of n(x) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -223864194 and -1?\nAnswer: 223864194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 684 and 15561.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 997094 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -6.3. What is the nearest to 2\/11 in g, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 4*q + 12. Let w(g) = -9*g**2 + 10*g - 25. Let b(c) = 3*w(c) + 7*x(c). Let f be b(-4). Solve -5*j - 3 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/3)\/(2\/(-3)). Let o = a - 10. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/22 in -3, -1, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210010221122200 - -1000?\nAnswer: 1210010221200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1798 divided by 1?\nAnswer: -1798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -153.5*0.5\nAnswer: -76.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10000001 (base 4) to base 16\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 f when three letters picked without replacement from lhvhvlffvhvdhldvv.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12922 and 32.\nAnswer: 413504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -2.3 (c) -2\/15 (d) -4 (e) 2\/11 (f) 66 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -4, -32, -80, -154, -260?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 167381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/((n*n\/(n\/n**(2\/33))*n)\/n))\/n))\/(n*n\/(n**24\/n)) assuming n is positive.\nAnswer: n**(794\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*p**3 - 41*p**2 - 30043 with respect to p.\nAnswer: 18*p**2 - 82*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037685327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 21*u + 41. Let j = 49 + -27. Suppose 8*c = 4*c + 64. Calculate the remainder when h(j) is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29 + 14*j - 29)*(0*j + 0*j + 3*j**3) + j + 0*j**4 + 4*j**4 - 6*j**4 to o*j**2 + m*j**3 + l*j**4 + t*j + s and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3301898 or 1?\nAnswer: -1\/3301898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjttgwpjjttvt. Give prob of picking 1 w, 1 j, and 1 g.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246 + 43 - 2*a**2 + 4*a**2)*(-1 - 1 + 0)*(-2*a + 3*a - 3*a).\nAnswer: 8*a**3 - 812*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133142112 by -8.\nAnswer: -16642764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -7. Let v = 4 + t. Let r(i) = 6*i + 5. Let l(z) = 11*z + 9. Let d(j) = -22*j - 18. Let g(q) = 6*d(q) + 11*l(q). What is v*r(x) - 4*g(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:22 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23000130213 + 1012?\nAnswer: -23000123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 39.36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*c**5 - 70126*c**4 - 74212*c**3 + 415864*c**2 + 27120*c = 0. Calculate c.\nAnswer: -1130, -3, -2\/31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -525322\/9 - -58370. Find t such that 8\/9*t + 4\/3*t**2 + 2\/9 + 2\/9*t**4 + s*t**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/20 in 1\/2, -1\/7, 9\/7, 2\/163, 2\/21?\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1829 + 7*r**2 + 4*r**2 - 1825 - 3*r. Let j(o) = -o**2 + 4*o. Let q be j(3). Calculate the remainder when d(q) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -152, -224, -292, -356?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 1:18 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12476*c - 37429. Calculate a(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(5\/4))*c**(2\/3))**(-27)\/((c**(-1\/2)*c)**(-21)\/(c**(3\/7)\/((c*(c*c\/(c\/c**6))\/c)\/c*c*c))) assuming c is positive.\nAnswer: c**(-1367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5458 + 13528. Suppose -34*w + q = -19*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*v**2 - 36*v**2 + 829*v**4 - 9180 + 6972 wrt v?\nAnswer: 3316*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4077)\/(-369) - -5 - (-20)\/(-410). Put 6, 1, n, -1, -5 in ascending order.\nAnswer: -5, -1, 1, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69.88 * 3\nAnswer: 209.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 7 - 10\/(-2). Suppose b*v - 21 - 19 = 0. What is the remainder when 776\/v + (-2)\/(-10) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*w**3 + 23*w**3 - 92*w**3)*(-26 + 26 + 10*w).\nAnswer: -1130*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.5 (c) 1 (d) 33 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 9*d + 2*d = -4, 2*a + 4*d = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/4 (b) 0.02 (c) -1\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9561 rounded to 1 dp?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 78, 2\/13, 12\/25, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162916283 is divided by 851?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 869085 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 639, -19.\nAnswer: -19, 38, 639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u = -23 - 4485. What is the remainder when u is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -0.1, 2, -5\/4 in increasing order.\nAnswer: -3, -5\/4, -0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*v - 37. Let c = 99 - v. What are the prime factors of c?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 2*o - 10 - 1, -5*o = 5*x + 10. Let z be (-4)\/x + 154\/(-165) + 0. Solve -4\/5 + z*f**2 - 2\/5*f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54035386 and 8242686?\nAnswer: 486318474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 57.4, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:35 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**3*k**2*u + 2*f**3*k**2 - 102*f**3*k*u - 1343*f**2*k**2*u + f**2*k*u wrt f?\nAnswer: -42*k**2*u + 12*k**2 - 612*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*sqrt(128))\/sqrt(4).\nAnswer: -96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 10 + 65 = 0. Calculate the common denominator of (f\/9)\/((-28)\/(-54)) and 57\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2690 and 83390.\nAnswer: 83390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18110 rounded to the nearest one hundred?\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (114\/(-8))\/(4\/(-128)). Suppose -5*q - r = -1446. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(80))*2 + sqrt(55)\/(sqrt(11)*1 + sqrt(11)) - (4 + sqrt(320)*1))**2.\nAnswer: -20*sqrt(5) + 189\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/(-42))\/(1\/(-6)). Suppose 2*o = -0*u - u, -o = u - 1. Solve -u*z - x = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x + x + 2 + 3*x)*(x**2 - 2*x**2 + 4*x**2) to q*x**3 + r + z*x**2 + w*x and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26\/45 + 4\/5. Let c = -36 + 41.8. Let i = c + -6. What is the third smallest value in i, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -n. Suppose 0 = n*l - 3*s + 4*s - 1, 3*l = -2*s. Let -v**4 - v**4 + 3*v**3 - 2*v**l + v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**3 + 8*f**2. Let a(k) = 3*k**3 + 17*k**2 + 8*k + 8. Let t(o) = -2*o**3 - 11*o**2 - 5*o - 5. Let s(n) = -5*a(n) - 8*t(n). What is 3*j(g) - 8*s(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/(5\/(-90)). Suppose -2*c = a, -5*c - r = -4*c - a. Which is bigger: 2\/3 or c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**3 + 3*l**4 - 27*l**4 + 103*l**4)*(2 + 1 - 2) to the form v*l**3 + i*l**2 + f*l + q + c*l**4 and give c.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h + 0*h - 6*h)*(-23 + 20 + 32 + (-2 + 2 + 1)*(4 - 3 - 3)) as o*h + v and give o.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11623061289 - -1\nAnswer: -11623061288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801989 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: Is 761141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*d + 30 = 113*d. Suppose 2*c - 5*o - 245 = -3*c, -2*c + 128 = 4*o. What is the greatest common factor of c and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29576 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -707 at most as big as -688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:26 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 19213504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*m - 8, 0 = -2*t - 4*m - 0*m + 24. Solve 0*k + 6 = 3*k - 3*l, 5*l = -k + t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)\/(d**(2\/39)*d)*(d*d**(2\/7))**1 assuming d is positive.\nAnswer: d**(-691\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:35 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:01 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, w: 1, u: 2, d: 1}. What is prob of sequence wdgg?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -6*f + 189. Solve f*v = 40*v + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4\/7 (b) 1\/3 (c) -1 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g**(8\/9)*g)\/g)\/g**(-17))**(2\/101) assuming g is positive.\nAnswer: g**(358\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 810673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130872949\/154392 - -1\/51464. Let t = -25331\/30 + p. Find the common denominator of t and 207\/44 - (-1)\/(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let o(i) be the third derivative of -i**5\/20 - 4*i**2. What is o(d(b))?\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/3*110\/(-88)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 94 + 213 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 4*q + 1. Let t be g(4). Let o = t - -87. Solve 5*r + o = 3*j, 6*r - r + 10 = -3*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -8, -17, -26, -35, -44?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*r + 15*r - 385664 = 0. What are the prime factors of r?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 789239, 789167, 789097, 789029, 788963, 788899, 788837?\nAnswer: 788777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -699 + 2159 = 21*p + 52*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5819 - -1.395. What is g rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86514011 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41196 = 885*h - 27834 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7040\/(12\/3) + -6. Let k = 195 + u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -16*d - 23. Let j be c(-4). Let u = 241 + -118. What is the highest common factor of u and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 9*s**2 - 22*s + 10. Calculate the remainder when 27 is divided by h(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1950*q - 52640. Determine w(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o - 695. Suppose -5*a = -389 + o. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 1. Let j be b(-7). Suppose -4*z - 34 = -j*z - p, 3*p - 86 = -5*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -7*a**8\/12 - 32*a**7\/5 + 89*a**6\/30 + 88*a**5\/5 - 56*a**4\/3 + 1561*a**2. Find p, given that t(p) = 0.\nAnswer: -7, -1, 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.99 + 0.01. Let l = 0.5 - 0.6. Let c = 0.1 - l. Put c, -0.5, v in decreasing order.\nAnswer: v, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20652 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -32*d - 616. Give l(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s + 17. Let q be b(7). Let y(z) = 7*z**3 - 5*z**2 + 2*z + 1. List the prime factors of y(q).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*r - 4*r + 3*s, 4*r - 36 = -16*s for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 529127321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -15. Let m = -56 + 27. Let x = m + 65. Calculate the remainder when x is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25998 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -373*p + 746. Let g be v(2). Determine k, given that 10\/11*k**2 - 4\/11*k + g - 6\/11*k**3 - 2\/11*k**4 + 2\/11*k**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 12*u + 8. Let s be j(-8). Let y = s + 28. Solve y*m + 8 = -0*x + 2*x, -3 = 3*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 451731\/20 - 22581. What is the common denominator of d and 738\/(-540) + 1\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -681*w + 627*w - 1188. Let x(p) = -p - 6. What is x(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2878*w + 177 + 117 = 2927*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -0.6. Let t = 39 - 38.6. Which is the closest to -0.1? (a) t (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47236, -188629, -424238, -754027, -1177960?\nAnswer: -1696001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/60 - c**4\/8 - 17*c**3\/6 + 299*c**2. Suppose 5*a - 8 = 22. What is the least common multiple of d(a) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10756 + -10754.9542. Let d = v + -0.07073. Let s = -0.982 + d. What is s rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481683.\nAnswer: 3, 307, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-21))\/(10\/45*-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffa when three letters picked without replacement from {f: 3, a: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 - 17*r - 115. Give a(-5).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/238)\/(-12)*35.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-2) - 3)*-2. Suppose -b + 35 = 4*b. Suppose -3*z - 2*a = -b*a - 20, -4*a = -z + 9. Put m, 0, z in decreasing order.\nAnswer: z, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 minus 0.18?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a + 1462920. Let t(c) = -24*c. What is d(t(l))?\nAnswer: -72*l + 1462920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g, 2*i = -i - 5*g + 2631. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -26. Let q be (0 - (-2)\/4)\/(m\/(-1288)). Let j = 93\/2 + q. Which is the nearest to j? (a) -0.7 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 45. Solve 19 = -k*o - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*l - 10, 0*h - 2*h + 8 = -2*l. What is the derivative of -s**4 + h*s**4 - 12 + 10*s**4 wrt s?\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110\/9, 1331, 0.2, -4\/5 in ascending order.\nAnswer: -110\/9, -4\/5, 0.2, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2295*-10222.\nAnswer: -23459490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38, 75, 142, 245, 390?\n\"Answer: t**3 + 9*t**2 + 3*t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 10) in base 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 19, 24, 21, 4, -33, -96?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135\/17 or 9?\nAnswer: 135\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*z + 3*z - 2*z)*(0*z + 2*z - 4*z) + (1 - 1 - 3)*(-45 + 41*z**2 + 45))*(0 - z + 0).\nAnswer: 125*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 2)*(5*b**4 - 28*b**4 - 2*b**4) + 0*b**4 + b**4 + 3*b**4 + 28*b**4 + 11*b**4 - 15*b**4 + (-b - 1 + 1)*(-b**3 + b**3 - b**3).\nAnswer: -46*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -805.4115 to zero dps.\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 7*f**2 + f - 6. Let j be p(7). What are the prime factors of ((4 + 9)\/1)\/j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c + 28 = 0. Let n(t) = t**3 - 15*t**2 + 22*t - 37. Let j be n(13). Let g = -81 - j. What is the remainder when c is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25429, -25384, -25339?\n\"Answer: 45*y - 25474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.4 - 3.4000066. What is z rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232800 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/3)\/((-4)\/(-50)). What is the tens digit of (-59)\/(-5) - (-5)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 14*n**2 - 3*n. Calculate g(-14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19096, 3\/2, -2\/11, 2, -2\/15, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*k**2 + 664*k + 14240.\nAnswer: -4*(k + 10)*(19*k - 356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 3*y + 4*y)*(60 + 3577 + 5413 + 3675 - 1040) as f*y + s and give f.\nAnswer: 23370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -445 (base 8) to base 15.\nAnswer: -148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15731123 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 6860546.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3384 or 37230\/11?\nAnswer: 3384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/(-12) + (0 - -1) and (2714\/230)\/(24\/15 - -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w. Let s(u) = 4*u + 7. Let j be (4\/6)\/(3\/18). Let z(o) = -2 + 2 - 2*o - j. Let v(d) = 4*s(d) + 7*z(d). Give v(m(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6016 + 216*q - 6016.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005487 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27288*r*s**3 - 4*r*s - 2*s**2 + 195*s wrt s.\nAnswer: 163728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 + 2*d**3\/3 - 5*d**2\/2 + d. Let l be q(-5). Let j(a) = 1 + 1 - 1 + a + a**3 + a**2. Determine j(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-112)\/32*((-6440)\/14)\/23\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -24, -327, 5, 0.5, 38, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 193108 = 193134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3157, -24907, -83837, -198535, -387589, -669587, -1063117?\nAnswer: -1586767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314041\/80 + 3925. Find the common denominator of f and 101\/50.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -660 + 878. Let n = h - 218.1. What is the third biggest value in -0.5, 0.39, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*s**5 - 169*s**2 + 41*s**2 - 193*s**2 wrt s?\nAnswer: -8760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011 (base 2) in base 11?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 1. Let b(t) = 6*t**3 - 11*t**2 + 9*t + 1. Let y(n) = -b(n) + 5*j(n). Let k be y(10). What is the tens digit of k\/(((-12)\/10)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 3*v + 50 + 0*v - 42. Determine i(-8).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 489*g. Let y(u) = 6010*u. Calculate y(z(l)).\nAnswer: 2938890*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from nsnjinj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.045245 (b) 0.4 (c) -52 (d) 4 (e) -0.5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 811*o - 846*o + 105. Solve -23 = -o*a - 29 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2\/2 - 12. Let n(q) = 54*q**2 + 2. Give d(n(o)).\nAnswer: -54*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 <= -22056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -0*h, -x = -5*h - 2. Let m be (-378)\/(-72) - (-2)\/x. Solve b + 7 = -2*w, -3*b + 5*b + 18 = -m*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4588 and 296.\nAnswer: 9176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/70*-5)\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**4 - 938*v**3 + 735*v**2?\nAnswer: -24*v - 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 8. Let w be n(7). Let y(v) = -54*v - 1. Does 11 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*p = -419, 2*u + 2*p + 3*p = 261. Suppose -5*a + u = -112. What are the prime factors of a?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/(-3)*3. Let o be -3*(r - -2)\/1. Let a = -175 + 174. What is the nearest to a in 2, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 smaller than 2.52761793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 28) + -4 - -7?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - 6. Let r be ((-49)\/(-14) - 5)*12\/(-18). Put r, t, 5 in increasing order.\nAnswer: t, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (-17 - (-32 - -26)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 809.\nAnswer: 4854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let j be (9 + -1)*(4 - 5). Let v(p) = 6*p + 8. What is j*a(u) - v(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13661*g**3 - 1890*g + 1890*g.\nAnswer: -13661*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -15\/7, -0.4, -498, -0.1, 2\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 1\/6*r**4 + 0*r**3 + 0 + 5*r - 1\/14*r**7 + 0*r**2 + 0*r**5 + 0*r**6. What is the third derivative of o(t) wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-51)\/(-15) - (-2)\/(-5). Suppose o*g = -g + 16. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/13)*f\/f**(-2\/5))\/((f\/f**(2\/7))\/f*f*f)**(-2\/9) assuming f is positive.\nAnswer: f**(2641\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550768 and 464.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**4\/2 - l**3\/3 - l**2 - l. Let m be t(-3). Let s = 148\/3 + m. Sort -1\/12, -2, s in decreasing order.\nAnswer: -1\/12, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 5507454*c + 2527670796843.\nAnswer: 3*(c + 917909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*h = -27 - 73, -r = 3*h - 20. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*21\/35)\/(4\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**4\/9 - 602*w**3\/3 - 52732*w**2\/9 - 57008*w\/3 + 5120 = 0. What is w?\nAnswer: -192, -30, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a1746 - 5?\nAnswer: 6a1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 66 = 7*j. Let i be (j\/(-2) + 1)*1\/2. Suppose -i*z + 4 = -5*z. Are z and 0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 70210?\nAnswer: 210630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26933343 is divided by 137415?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9428 + -9333 - (131 - -1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-795)\/(-2544))\/(5\/24). Factor 0*m**2 - 3\/2*m + 0 + r*m**3.\nAnswer: 3*m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1235*-0.4.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 - -106. Suppose 5*k = -l + 111, -7*k + 127 = -2*k - v*l. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x. Let c be x\/(4\/2 - 3). Suppose c*r = 5*r - 10. Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-1 - 2*m + 1)*(1 - 3 - 4).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 13*g**2 + 3. Let b be l(-13). Suppose -5*w - b*w + 4136 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/2))**(-5\/7)*k**(-21)*k**(-1\/15))**(-19) assuming k is positive.\nAnswer: k**(88331\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4977*p = 4935*p - 908 + 194 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - 22*w**2 - 2*w - 3200 + 39*w**2 - 18*w**2. Let z be p(0). Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -10. Let j = 3 + g. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 7 = -42*d + 50*d, 4 = -2*k - 2*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -362 + 749\/2. Do h and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9576 and 110.\nAnswer: -1053360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -5 (c) -3 (d) 0 (e) -2.9 (f) 5.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p - 2. Let y be s(-1). Let i be ((y - 6) + -5)\/(3\/(-20)). Round i to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-2 + sqrt(2299))**2 + -2 - (-1 + sqrt(2299) + -5).\nAnswer: -11*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 701428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -22239*o**2 - 12900. Let v(l) = -1390*l**2 - 806. Let k(b) = -2*g(b) + 33*v(b). Differentiate k(x) wrt x.\nAnswer: -2784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4 - 356681.2.\nAnswer: -356679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i + 5*v - 177, 4*v - 219 = -5*i. What is the remainder when 169 is divided by i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 170, 232, 276, 296, 286?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 572 and -37.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8982089*j**6*z + 6806*j**2*z - 2*j**2 - 348*j*z + z wrt j.\nAnswer: 1077850680*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 50*v + 266. Let w be s(44). Solve 2 = w*p - 2*i, -i + 0 = -5*p + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 10*c**2 - 3*c - c.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (-210)\/14)*(10\/(-6) + 2). What is the third smallest value in 10, 2\/625, b?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-128)*392\/(-1029)*161.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-14 + 15 + 9)) + 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1468\/2873799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279\/2 + 643\/6. Let y = 33 + v. Which is the biggest value? (a) -0.1 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4495.9998879 + -4496. What is y rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21.92 + -0.241\nAnswer: 21.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*a + 8*a + 44*a + 204*a**2 in the form s*a + f*a**2 + j and give f.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 + -63. Suppose 5*r - u*r = 58. Suppose -2*c - r = c + p, -2*c = -4*p + 24. Let x(n) = -n - 13. Calculate x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 4, y: 2, q: 6, p: 1}. Give prob of picking 1 p, 1 q, and 1 w.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0518 minus 0.1?\nAnswer: -0.0482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1913451083 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 69*p**2 - 1. Let m = 122 + -114. Suppose 3*z - 67 = -f, 5*z = -m*f + 5*f + 105. What is the remainder when j(1) is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*i**2 - 123*i**2 + 530*i**2 - 91*i**2.\nAnswer: 617*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120106 - -32?\nAnswer: 120138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**2\/7 + 762*l\/7 + 145161\/7 = 0.\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*f + 390. Suppose -3*w - l = -215, -2*l = w + 2*w - f. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**4 - 2*y**2 + 2*y**2 + (34 - 34 + 9*y**2 + (3 + 0 - 4)*(-2 + 2 - 2*y**2)*(1 - 5 + 0))*(-104*y + 104*y + 15*y**2).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1688 and -7\/18472?\nAnswer: 3897592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*f + 7, 5*g = 5*f + 3 + 22. Let h(u) = -u**2 - 9*u - 6. Let j be h(-8). Let v = 3 - j. Solve g + v = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:04 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/51 - 977\/102. Which is the second smallest value? (a) -1 (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31635.415 - -31578. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 259 - 883. What is the greatest common divisor of 26 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 685*a**3*j**2*u**2 - a**3*j - 3*a**3*u**2 - 5*a**2*j**2*u**2 - a**2*j**2 + a**2*j + a*j**2*u - 2*u**2 wrt a.\nAnswer: 4110*j**2*u**2 - 6*j - 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/7 + 96*x**2\/7 + 208*x\/7 = 0. Calculate x.\nAnswer: -2, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 13*m = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from uuquuuuuuuuuuquuuu?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/3334080987 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/49 - -9*(-4)\/(-14). What is the smallest value in -0.1, -0.011, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**2 - 10*k - 25. Let r(b) = 14*b**2 - 11*b - 25. Let f(w) = 6*c(w) - 5*r(w). List the prime factors of f(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d**4 + 4*d**3 - 2*d**3 + d - 9*d**2 + 22*d**4 - 1 as k*d**3 + o*d**2 + v*d**4 + c + r*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101436 - -157366. What are the prime factors of l?\nAnswer: 2, 5, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 5*y**2 - 10*y. Suppose -4*s = -4*g - 16 - 16, -5*g = 2*s + 19. Does 10 divide j(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151, -156, -161, -166?\n\"Answer: -5*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2412.09+4509\nAnswer: 2096.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 1, -0.23, 0.1, -3\/7, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/20 + o**4\/2 + o**3\/2 + 101*o**2. What is i(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111020 - -11112?\nAnswer: 2122202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 + 11 = 0. Calculate the remainder when 54 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33023732.968 plus -0.17?\nAnswer: 33023732.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + ((-3 - -2) + 6 - (-38 + 41))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 9*h**2 - 11*h - 9. Does 30 divide r(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6 + 3*w + 6*w + 18 + w**2. Is 4 a factor of s(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/60 + b**5\/10 + b**4\/6 + 7*b**2. What is c in t(c) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 25*f**2 + 53*f - 44. Give g(27).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000280205 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4 - 49*l**3 - 816*l**2 - 4864*l - 4096 = 0. What is l?\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 32032?\nAnswer: 32022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 - 0.01. Let j = 9 + -3. Suppose j*d = 2*d. Which is the third smallest value? (a) d (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -101, -201, -309, -407, -477, -501, -461?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x + 6*x + 3*x - 13*x + 6. Let a(h) = 5. Let o(g) = -4*a(g) + 3*u(g). Let w(q) = -2*q + 2. Calculate 5*o(c) + 6*w(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 0, -3 in descending order.\nAnswer: 2, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -6*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31739*r**3 + 6906.\nAnswer: -95217*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*j + 4 = 0, -4*x - 32 = x - 3*j. Let u = 6 - x. Find the second derivative of -40*n - 19*n**5 - n + u*n - 8*n**5 wrt n.\nAnswer: -540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 + 3*y. Let n(s) = -4*s**2 + 7*s. Let h = 11 - -3. Let q(o) = h*p(o) - 6*n(o). Let l(b) = -b**2. Determine l(q(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.49681kg to micrograms.\nAnswer: 90496810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 272 divided by -16\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5243412, 20973650, 47190712, 83894598, 131085308?\n\"Answer: 5243412*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*(-5 + sqrt(704) + -2)*-5 - (-5 + ((4*(2*sqrt(704) + sqrt(704)) - sqrt(704)) + sqrt(704) - (sqrt(704) + sqrt(704)*-2)*1))))**2.\nAnswer: -146544*sqrt(11) + 1347065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/86592 and 59\/8760?\nAnswer: 31606080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 42*h + 98. Let r be a(-2). Suppose -6830 = 4*l - r*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2. Let h(c) = 2 - 5 + 5. Let x(f) = -154 + 84 - f + 81. Let b(o) = -11*h(o) + 2*x(o). What is r(b(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42e72 - 9?\nAnswer: -42e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 3*a + 4*a**2 - 2*a)*(-2*a - a + 4*a) + 1456265*a**2 - 290*a**3 - 1456265*a**2 to the form i + q*a**3 + p*a + k*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgxgrxrtrxrrc. What is prob of picking 2 r?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:13 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -63*v**2 + 6*v + 6. Let y(g) = 56*g**2 - 5*g - 5. Let k(p) = 5*q(p) + 6*y(p). Let n(h) = 5*h**2. Give n(k(i)).\nAnswer: 2205*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((129\/774)\/((-9)\/690) + 1).\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 - 72*b = 0.\nAnswer: -72, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 17*j - 29*j + 47*j + 30*j. Let s(y) = -y. Calculate d(s(m)).\nAnswer: -65*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229.7 + 229.5. Let o = 9 + -9.4. What is the nearest to -0.2 in o, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 78366860 divided by 56870\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 24395.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -237878613 = -237878613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 7)*(-1 + 2) - -17. Suppose -4*t + 6*t = 4*k - 20, -5*k - 5*t = 5. Solve -v + 0 = k*l - 1, 2*v = 3*l - m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44957.\nAnswer: 11, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 + 21*n + 4. Give o(-10).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 14*s + 8*s - 51 + 41. Let r be u(3). Suppose -4*z + r = 4*z. Solve -z = n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 10) to base 16.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1246 + -1244. Solve -16 = -4*v, 5*j + v + 14 = -y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6673 - -8747. Calculate the remainder when p is divided by 189.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 + 16*d**3 + 52 - 52.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*y**4 + 18*y**3 - y**2 + 104779*y wrt y.\nAnswer: 3216*y**2 + 108*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*p - 25768423 - 1228715, -26997146 = 4*p - b. Let l be 9\/(-9) - 1559*-7793. Let j = p + l. Round j to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.186 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - 366\/(-54). Suppose -4*c + 27 = 5*x, 45 = m*x - 2*x - 5*c. Suppose 250 = 3*z + x*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202369908?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + x. Let h(z) = -207*z**3 + 8*z**2 + 8*z + 1. Let m(t) = h(t) - 4*q(t). Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-9)\/2)*-3. Suppose 0 = 4*c - 3*u - 151, j*c + 4*u = u + 53. What is the greatest common factor of 374 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 12) to base 3\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 32 = -3*y, 0*o = 4*y - 2*o - 24. Solve -13 = -5*d + h, y*d - d - 11 = -h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -127d140a + 0?\nAnswer: -127d140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69*((-28)\/70)\/((-12)\/(-10)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 2)*1\/(-2). Let i be (2 - 0)*1 - 0. Find the first derivative of -2 + x - 3 + 0*t - i*t wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 2*p - 42. Let k be b(0). Let l be 0 - (-61)\/(-2)*-2. Let t = l + k. What is the remainder when 35 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 7*r + 2157. Let d be v(0). What is the first derivative of d*q - 65 - 57 - 1988*q wrt q?\nAnswer: 169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*j + 36. Suppose -4 = -i + 4*u - 0, -2*i - 10 = u. What is the smallest common multiple of (44\/(-6))\/(i\/j) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/118 - 257\/826. Sort -1\/5, k, 4, -0.5 in ascending order.\nAnswer: -0.5, k, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -80, -122, -164?\n\"Answer: -42*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 - 19*i + 5. Let z be c(3). Suppose 0 = z*d - 69 - 469. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*n**5*o + 26*n**5 - n**2*o - 2083*n*o wrt n?\nAnswer: -320*n**3*o + 520*n**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 5 + 6)*(-5 + 5 - k) + 1 + k - 1 + 2*k + 4*k - 2*k + (4 - 4 - 2*k)*(-2 + 5 - 2) - 2 + 2 - 2*k in the form i*k + r and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1848 or 1818?\nAnswer: 1848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001101 + -101?\nAnswer: 101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**3 - 34*j - 13*j**3 + 3*j**3 + 3*j**3 wrt j?\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16513\/11795)\/(((-22)\/(-60))\/(-11))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - (-8086)\/39. Let o = 360 - c. Calculate the greatest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2420) - (sqrt(2420)*2 + sqrt(2420)) - sqrt(2420)) - (sqrt(2420)*-3 + 0 - sqrt(2420)))**2.\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.049 + 22.049. Let g = -21.7 + h. What is the closest to -1 in -1\/4, -0.1, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 11*f**2 - 5*f + 22. List the prime factors of q(10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -4, -2\/163, -114, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.729769us to minutes.\nAnswer: 0.00000044549615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s + 2. Let m(g) = g**2 + g - 1. Let o(a) = 2*m(a) + q(a). Let i be o(-4). Solve -5*w - i = -4*h - 21, 4*h + 13 = w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 2817272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -264 or -263?\nAnswer: -263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 14 = 19. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n - 69. Let j(f) = -f - 4. Calculate -6*j(v) - l(v).\nAnswer: -2*v + 93","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t**4 + 176*t**3 + 410*t**2 - 100*t = 0. What is t?\nAnswer: -5, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4152903.12 rounded to the nearest one thousand?\nAnswer: -4153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63081791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -4638\/203 and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-115)\/35)*-2. What is the fourth smallest value in 2, -0.06, b, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from woosis.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-154)*17136\/(-1836) - 3\/9*-3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27)\/((-6)\/9)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231517781.\nAnswer: 11, 17, 1238063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.57 less than -14.481?\nAnswer: 24.089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -860*y**3 + 1531*y**2 + 1531*y**2 - 3060*y**2 to s*y + q + d*y**3 + r*y**2 and give d.\nAnswer: -860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2451 - -2451. Sort -9, j, 3 in ascending order.\nAnswer: -9, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -469040 plus -3?\nAnswer: -469043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*5*(sqrt(14)\/sqrt(8) - (-3 + sqrt(28) + sqrt(7)) - 1*sqrt(28)*2))**2.\nAnswer: -19500*sqrt(7) + 152375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755599 divided by -237?\nAnswer: -11627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*b**2 + 64 - 64.\nAnswer: 95*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(96)*-1)\/sqrt(6) + sqrt(784) + (sqrt(784)*-1 - sqrt(784))))\/((sqrt(96)\/sqrt(96) + sqrt(16))\/(sqrt(198)\/sqrt(11))).\nAnswer: -576*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h**5 - h**5 - 68*h**5)*(-6 + 2 + 3)*(-1 - 3 + 2) - 4 - 24*h**4 + 24*h**4 + 7*h**5.\nAnswer: -105*h**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -75. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (19 + (-3002)\/152)*4*1\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*m**2 - 338 + 26*m.\nAnswer: -(m - 26)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47.2. Sort -6\/5, -2, -1, f in ascending order.\nAnswer: -2, -6\/5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/(-3)*(-183)\/(-2). Suppose -2*g = 5*z - b, 2*z - 960 = -4*g - 0*g. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 2*j = -5, p = 2*p + 4*j + 17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39966 - -39965. Which is the second biggest value? (a) -2\/3 (b) h (c) -2\/7 (d) 13\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 11 + (-2)\/2. Let g be 6\/(-45) - (-16776)\/270. Suppose -3*a + 63 = 3*l, -5*a + 8*a + 4*l - g = 0. Calculate the highest common divisor of a and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4 - 48. Suppose 3*l + 63 = m, -6*m - 3*l = -3*m - 249. Let c = m - t. List the prime factors of c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s + 2. Let u be m(4). Let a be u\/(-20) + (-6)\/(-12). Let k = 0.014 - 0.014. Which is smaller: a or k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24994962 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(91) - sqrt(91)*1)*-4)\/sqrt(7) - (-5 + sqrt(637)*1))**2.\nAnswer: -210*sqrt(13) + 1986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 - 111 - 95 - -126?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.0519?\nAnswer: -0.01038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2292825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -341 + 1b80?\nAnswer: 183f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/((-7)\/((-168)\/1)). Let t be 6\/r + ((-15)\/(-2))\/5. Solve -4*h = -16, 25 = -a + 7*h - t*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3969+-0.3\nAnswer: -3969.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5.5 - -24.106\nAnswer: 18.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 716*o**2 - 81964822*o + 686856.\nAnswer: 2*(o - 114476)*(358*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/10 - 18\/(-45). Suppose 4*c - 27 = 5*d + 3, 0 = 4*c + 2*d - 16. Find the second derivative of -2*i**5 + 0*i**c - i - i + w*i wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/3)\/(k**(-3\/8)\/k)*(k**(-13\/5))**5)**(-3\/4) assuming k is positive.\nAnswer: k**(223\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21126 is divided by 3943.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25865354.\nAnswer: 2, 12932677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*2\/(-6) + 603. Let s = m + -1201\/2. Solve -1\/2*j**3 - 4 - s*j**4 + 2*j + 3*j**2 = 0 for j.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/16 + -12 + (-27)\/(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 18 + 15 = 0. List the prime factors of 248\/6*7\/((-14)\/g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i + 1 - 7*i + 13*i - 2*i + 5*i. Let p(m) = 6*m - 4. Let n = 0 + 1. Give n*p(l) + 4*b(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/5)\/((-2)\/(-5)). Let p(v) = 3*v - k*v - v. Let s(x) = -22*x**2 + 1 - 1 + 19*x**2. Calculate s(p(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -186340*i**3 - 2904. Let v(s) = -963*s**3 - 15. What is 5*f(j) - 968*v(j)?\nAnswer: 484*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57072)\/(-609) - (-4)\/14. Calculate the highest common factor of 6 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153*s + 338*s**2 + 3134*s - 4513*s**2.\nAnswer: -4175*s**2 - 19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(108) - (1*sqrt(27) + 1)) + -5 + sqrt(12)\/(sqrt(8)\/sqrt(2)) + 4 + -5)**2.\nAnswer: -392*sqrt(3) + 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 12521462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-18))\/((-1)\/(-2)))\/((-245)\/(-105))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366695111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 109 = -381. Suppose z + 5*m - 3 = w, 1 = m. What is the remainder when 129 is divided by z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5511*f**3 - 5527*f**3 + 10342*f**3.\nAnswer: -696*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 959*i + 9343. Does 148 divide u(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10488, -10385, -10282, -10179?\nAnswer: -10076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/2 - 8855*w\/2 + 22125 = 0.\nAnswer: 5, 8850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1183 + 469. Let l be ((-3047)\/(-12))\/(9\/o). Let f = l - -20151. What is the common denominator of 101\/12 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -20. Suppose -b - 4 = 3*l + 8, 16 = -2*b - 4*l. Let p(t) = t**2 - t + 30. Let v be p(b). What is the highest common factor of v and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5314*w**3 - 5325*w**3 - 5344*w**3 + 16016*w**3.\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27760854 by -61554.\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4604 * -0.4.\nAnswer: 1841.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/((-2)\/3). Sort 1, y, 4 in ascending order.\nAnswer: y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, -0.3, 0.06, 15.49 in decreasing order.\nAnswer: 15.49, 2, 1\/3, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 190*g**2 - 2235*g + 7650 = 0. What is g?\nAnswer: 6, 15, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 19*x**3 - 82*x**2 + 96*x + 160. Is l(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123.248 + 1.348. Let n = 122 + i. Which is the closest to -0.2? (a) 4 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 42 = 7*n. Let x(h) be the first derivative of -1\/2*h**4 + 0*h**3 + 1\/7*h**2 + 0*h + 12\/35*h**5 + n. Solve x(f) = 0.\nAnswer: -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 39?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18448 + 18429. Which is the second smallest value? (a) 1\/11 (b) 5 (c) 4 (d) -175 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41641*g**3 + 13701*g?\nAnswer: 249846*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -39116071\/5 equal to -7823213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412931519 and 3055.\nAnswer: 2064657595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 5588.2552 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 204253312 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3\/7 - 108*v**2\/7 + 368*v\/7 = 0?\nAnswer: 0, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/9 (b) 7 (c) 21 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161775564 is divided by 80887777?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 8*j + 104 = -6*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from irkikrrkknirni.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*f + 4, 4*s - 2*f = 6. Suppose -5*g - 2*b + 53 = -s*g, -2*b = g - 23. Calculate the remainder when g is divided by (15\/10)\/((-6)\/(-32)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q. Let h(s) = 59*s**2. Give l(h(y)).\nAnswer: 590*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 483977, 967963, 1451949, 1935935?\n\"Answer: 483986*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - 98. Let c be y\/(-8)*(-16)\/12. Let k = c + 23. What is the highest common factor of 45 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 14*n - 19272. List the prime factors of n.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 3*d + 2*d)*(2*d**2 - 2*d**2 - 2*d**2) + (-171*d + 18*d**2 + 171*d)*(2*d - 2*d + 3*d) to n*d**2 + b*d**3 + h*d + y and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**3 - 59*c**2 + 15*c - 31. Determine x(5).\nAnswer: 444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225.9383 + -0.0617. Let k = -229 - y. Let f be (-4)\/(-6) - (-1 - -2). What is the third biggest value in f, 3, -13\/5, k?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1843398 + 16?\nAnswer: 1843403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -8.98. Which is the smallest value? (a) g (b) 3\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -61*y + 32*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + 3*(sqrt(1539) + 2 + sqrt(1539)) - sqrt(1539)) + 2 + sqrt(1539)*2)**2.\nAnswer: 1152*sqrt(19) + 98560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-112)\/35 + 2)*-6000. Let d be (-14 + 23)\/((-3)\/n). Round d to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -41. Let m be 6\/(-2)*q\/(-18). Let o(i) = 40*i - 1. What is the tens digit of o(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3924 - 3919. What is the closest to -1\/4 in o, -3, 1, 28\/69?\nAnswer: 28\/69","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65113 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(-4 + sqrt(1300)*2*2)*-2 + -3)**2.\nAnswer: -3520*sqrt(13) + 332921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14064520 rounded to the nearest 10000?\nAnswer: 14060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -10. Suppose -4*y = 3*c - 5*c - 26, -5*y + w*c + 31 = 0. Solve 0 = -h - 3*h + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + u**2 + 0*u**2 + (-u - u + 3*u)*(4*u + 3*u - 3*u) as j + a*u + w*u**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-68)\/12)\/(1\/6). Let r = 50 + b. Calculate the remainder when 47 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = 7*j. Let d(k) = -2*k - 5. Let w be d(-4). What is the third derivative of w*b**2 - 2*b + 2*b + 5*b**j - 9*b**4 wrt b?\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*k*q**4 - 3*k*q**3 - 4*k*q + 2*k + 10*q**4 + 2*q**3 - 17*q**2 - 3*q wrt q?\nAnswer: -1680*k*q - 18*k + 240*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 - 4)*(-3 + 3*u + 3) + (2 + 5 - 5)*(3*u + 0*u + 0*u) + u + u - 4*u - 7*u + 20*u - u)*(-u - 4*u + 6*u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003184828 rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107426\/195320*15\/44?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - 2*o**4 + (11 - 11 - 4*o)*(4*o**3 - o**3 - 2*o**3)*(6 + 1 - 2).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322*c - 704 - 56*c**3 + 170*c + 151*c - 14*c**2 wrt c.\nAnswer: -336*c - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -239\/12. Let g(y) be the third derivative of 2\/3*y**3 + 0 + 3*y**2 + 0*y + r*y**4. Give g(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118158 and 2538.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*l + 53*l - 11*l as v + w*l and give w.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3 + 3)*(0 + 2*v + 0)*(-418 + 2701 + 198).\nAnswer: -14886*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(99))*2 - (-1 + sqrt(99) + 0)) - -5*(-5 + sqrt(99) + -1 - (sqrt(99) - (2 + sqrt(99)*1))**2).\nAnswer: -62 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-7)*((-14)\/(-3))\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38896, 77809, 116758, 155743, 194764, 233821, 272914?\nAnswer: 312043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 417 - -291. Suppose 0 = -3*n - d - 1230, 3*d + 522 = -3*n - s. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1441*p - 1441*p - 10*p**2)*(-80*p - 75*p + 75*p).\nAnswer: 800*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -1\/16*n**6 + 0*n + 0*n**3 + 16 - 9\/20*n**5 - 27\/32*n**4 + 0*n**2. Factor a(w).\nAnswer: -3*w**3*(w + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3120*x**2 - 127*x + 132*x - 3119*x**2 + 2*x**3 + 1. Determine h(3).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)*v*v**(7\/6)*v**(-11\/3)\/((v*v\/((v\/(v*v*(v*v**(-14)\/v*v*v)\/v))\/v)*v)\/v) assuming v is positive.\nAnswer: v**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 19 = 4*x. Suppose -x = 3*n - 6*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*b + 19, 750*b - 747*b - 24 = -3*i for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 12*c**2 - 13. Let i be f(-12). Let t be 2 - i\/((-13)\/(-18)). Solve 5*g + 2*v - v = 19, -4*v = -4*g + t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0057885 rounded to four dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2290*z**3 + 730.\nAnswer: 6870*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v**3 + 4*v + 7. Let l(j) = 32*j**3 + 7*j + 12. What is -6*l(n) + 10*q(n)?\nAnswer: -42*n**3 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-999 + 409*j + 405*j - 820*j)*(j**3 + 0*j + 0*j).\nAnswer: -6*j**4 - 999*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/13 and 8\/(2 - 0) + 128\/20.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 171 = -3*i. Let s(f) = -f**2 + 8*f + 2. Let q be s(9). Let k(w) = w**3 + 8*w**2 + 6*w + 8. What is the remainder when i is divided by k(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 17*j - 1. Let y be s(17). Are -4 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*p - 20, -4*d - 16 = -5*p - 0*d. Suppose p = 2*m - 2*y - 49 - 15, m = 5*y + 44. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 25*b + 2*p = 20, p - 55 = 4*b. Let r be (7 - -1) + b + -31793. Round r to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is aa7a5925 + -2?\nAnswer: aa7a5923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2.08?\nAnswer: -2.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 4*v + 91 = 0. Suppose v*q + 8 = 17*q. Factor 4\/9 - 2\/3*a**q + 2\/9*a**3 - 2\/9*a + 2\/9*a**4.\nAnswer: 2*(a - 1)**2*(a + 1)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 2*h. Let m(j) = -10*j**2 + 7*j. Give 11*l(y) + 4*m(y).\nAnswer: -7*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -2.525?\nAnswer: -2.525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*w + 16*w + 7*l - 65, -3*w + 55 = 4*l for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 17*v**2 - 63*v - 162. Calculate a(-13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3 - 1. Suppose -5*l + n*u + 4 - 40 = 0, -18 = l + 5*u. Does 6 divide ((-8)\/(-10))\/(l\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 equal to 234\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -144, -339, -624, -999?\n\"Answer: -45*o**2 - 60*o - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1691, 1688, 1681, 1670, 1655, 1636?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27174*m**3 - 6123*m**2 - 3*m + 2?\nAnswer: -163044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from {v: 1, d: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 30 - 1 - -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*z - 0*z. Let g be 4\/6*(-15)\/z. Let h = -48 - -47. Which is the closest to 2\/3? (a) h (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 4*y**2 - y + 4. Calculate x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*x**3 - 38*x**2 + 64025*x + 9508642?\nAnswer: 6*x**2 - 76*x + 64025","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10665, -9152, -7625, -6078, -4505, -2900?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 13. Find the third derivative of -m**6 + m**2 - 2*m**2 - 3*m**i + 4*m**2 wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, v: 1, w: 1, p: 1, h: 8, j: 1}. Give prob of picking 1 v, 1 p, 1 d, and 1 w.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2\/3 + 207241*w\/3 - 10577094 = 0.\nAnswer: -207394, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120201210 (base 3) in base 13?\nAnswer: -52b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1597763308 to the nearest integer?\nAnswer: 39972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q. Let u(m) be the third derivative of 12*m**2 + 0*m + 0 + 1\/12*m**4 + 0*m**3. Determine u(p(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10790)\/11869*33\/(-75)*-60?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -600407?\nAnswer: 12\/600407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 10*r + 14. Let a = 14 + -3. Let f be x(a). Suppose 0 = -3*p + 5*h + 376, -2*p + f*h + 378 = p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-450)*(-15)\/26.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2. Let j(u) be the second derivative of u + 0*u**2 - 1\/3*u**3 + 0. Calculate j(h(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -474 + 476. Which is the closest to 1\/87? (a) 12 (b) i (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from poo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1756, 1703, 1654, 1609, 1568, 1531?\n\"Answer: 2*w**2 - 59*w + 1813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*w - 0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/2 + 25194*y + 317368818 = 0.\nAnswer: -25194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -78.5238.\nAnswer: -4397.3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 339664361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6305 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let u be ((-1)\/3)\/(t\/(-27)). Suppose 2*v = 3*v - u. Solve -v*f - 9 = 3*p, 5*f - p + 33 = 3*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 4*k = -52. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2852*a**3*d + 2*a**3 - 65*a**2*d - 446*a*d wrt a.\nAnswer: 17112*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -51. Let n(j) = 3*j**2 - 3*j - 2. Let y(x) = -6*x**2 + 5*x + 4. Give c*y(w) - 7*n(w).\nAnswer: 3*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -8*u**2. Suppose -6*m - 3 = -15. Let n(r) = 2 + 6*r**m - 5*r**2 - 2. What is n(f(c))?\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -14*k. Give m(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*m - j, 0*m - 4*m = -j - 12. What is the remainder when (-133 + 245)*1\/2 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/20 and (6\/20)\/((-253)\/(-345))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 0*k**2 + 3*k**2 + (k + 0*k + k)*(0*k - k + 3*k) - 5*k**2 + 7*k**2 + 3*k**2)*(-2*k**2 + 4*k**3 + 2*k**2).\nAnswer: 28*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.8500182 to 3 dps.\nAnswer: 5.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f = -73*f - 24 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100562 is divided by 213.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2335340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + r**2 - 2*r**2)*(6*r**2 - 2*r**2 - 2*r**2)*(-1540 + 1800 + 1089 + 2477) to the form k*r**2 + n + j*r + g*r**3 + u*r**4 and give u.\nAnswer: -30608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2. Suppose -4*u - 4*o = -20, -5*o = u - 11 - 2. Let x(n) = n + 3*n - 5*n - u*n. Determine x(h(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-808)\/2626 - 112\/(-26). Solve -4*j + f = 13, g*j - 14*f = -11*f - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 - 4*w**5 + 5*w**5 + (170 + 4*w**2 - 170)*(18 - 10371*w**3 + 10369*w**3 - 347).\nAnswer: -7*w**5 - 1316*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6179\/555 + -11 + ((-56)\/(-30) - -1). Solve 5*z = -w*x + 11, -4*x - 7 - 13 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v + 5 + 5*v + 8*v**3 - 33*v - 3*v**2 - 7*v**3 + 0*v**2. Determine k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 4) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/21 + 6)\/((-40)\/(-14) + -5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 + 199. What are the prime factors of 1548*(-10)\/(-28) - (-4)\/a?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16792*s**3 - 88*s**2 - 89*s?\nAnswer: 100752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.2 * 4.\nAnswer: -76.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 6*b - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709617.\nAnswer: 3, 53, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Suppose -68 = -4*x + 3*f, -3*x + 0*x + 72 = 3*f. Let j be x*(-1)\/(-21) + (-2)\/7. Which is the second smallest value? (a) j (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/20)\/((-4)\/(-10)). Let r(w) = 2*w - 4. Calculate the smallest common multiple of r(5) and (8\/6)\/(t\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide ((-2)\/(-3))\/(2174\/1086 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 56 - 16 + 719*o - 14 - 11.\nAnswer: 719*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 318 - -3?\nAnswer: 31b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2. Let q(p) = 3*p**2 + 2. What is 4*l(d) + q(d)?\nAnswer: 4*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14 + 0.08. Let s = -125 - -621\/5. Let i = 136176\/7 + -19454. Put i, c, s in increasing order.\nAnswer: s, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 34 = -7. Let j(g) = -g**3 + 9*g**2 - 8*g + 9. Let c be j(y). Let v = -43 - c. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a + 36 = 0. Let m = a + 0. Calculate the remainder when 34 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153186409 is divided by 788?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -5\/8 (b) -2\/2505 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183477.\nAnswer: 3, 7, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - 8*c - 2. Let s(b) = -7*b**3 + 2*b**2 + 2*b + 1. Let g be s(-1). Let u be z(g). Which is bigger: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1437 + -1355 + -165 + 3\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1181664.\nAnswer: 2, 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 0 - 0\/(-3). Suppose 0 = -d*n - 0*n - 4*b + 10, 4*b + 10 = -n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i - 1. Let m = 3 - 13. Let u be 2\/m - 182\/(-10). Let j be 12\/u + (-5)\/3. What is g(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800782 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: Rearrange -8*x**2 + 4*x**2 + 12*x**2 + (4*x - 4*x + 2*x)*(-3 - 2*x + 3) + x**2 - 3*x**2 + 4*x**2 - 5*x**2 + 3*x**2 + 0*x**2 to d*x**2 + r + h*x and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 1. Suppose 17*h = m*h + 1047. Suppose -636 - h = -q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275, 548, 821, 1094?\n\"Answer: 273*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3571331*p**3 + 3*p + 65590390 wrt p?\nAnswer: -10713993*p**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 257. Let f be 6\/4*36\/o. Which is the nearest to f? (a) -0.4 (b) -5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - a**4 - 3*a**4 + (-3 + 3 + 2*a)*(4*a**3 - 3*a**3 - 3*a**3) - a**4 + 2*a**4 + a**4 + a**4 - 3*a**4 + 3*a**4 + (1 + a**3 - 1)*(-2*a + 1 - 1).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 0.2 (b) -2\/7 (c) 4 (d) 6352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62*q**2 + 8*q - 3491?\nAnswer: 124*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -13. Suppose -2*q + 13 = -3*r, 5*q + r + r = 4. Suppose 2*p + q*m - 5 - 91 = 0, 4*p + 5*m = 190. What is the highest common divisor of p and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 - 9*q + 13. Give g(10).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 369729733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/14)\/(411\/(-959))*3\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**2\/15 + 228908*v\/5 + 686726\/15 = 0 for v.\nAnswer: -1, 343363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 - m**4\/3 + 17*m**3\/6 + m**2 + 375*m. Determine h(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -482, -729, -976, -1223, -1470?\nAnswer: -1717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 80.9949. Round x to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040097361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12430*o - 270. Let x(p) = 565*p - 12. Determine 2*d(k) - 45*x(k).\nAnswer: -565*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -602 - -405. Let s(l) = 12*l + 30. Let t be s(-3). Let o = t - y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30534276 by -12.\nAnswer: 2544523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 642130.\nAnswer: 642132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 8*w**2 + 6*w + 7. Let i be o(9). Let n = -3 - i. Suppose -5*r + 3 = -n. Solve -2*u = -r*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 16*a**2 + 21*a - 4. Let n be y(17). Let i be ((-4)\/n)\/(1\/(-4)). Sort i, -0.2, 2\/7, 0.\nAnswer: -0.2, 0, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20412687961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2124 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-3)\/(2\/((-8)\/(-4))))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1170580343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/((-2)\/1). Suppose f = -3*s - 3*z - 168, 76 = -2*s + s + 4*z. Let p be (-117)\/s + -4 + 2. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:30 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c = 5*c - 21*c + 1958590. What are the prime factors of c?\nAnswer: 2, 5, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702 divided by 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -579 * 1.2.\nAnswer: -694.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -5*q**7\/399 + 4*q**6\/57 - 4*q**5\/95 - 16*q**4\/57 - 16*q**3\/57 + 17*q**2. Factor o(h).\nAnswer: -2*(h - 2)**2*(5*h + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:56 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2677476*c**3*r - 16*c**2 + 12*c*r - 1149*r - 1215 wrt c.\nAnswer: 16064856*c*r - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/20 + f**4\/8 + f**3\/2 + f**2\/2 + 2. Let g(v) be the second derivative of r(v). Is g(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5239 - 441?\nAnswer: -567a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -260147 + 5823693.9\nAnswer: 5563546.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8)*(-20)\/(-3) - -4. Suppose 18*c - 972 = z*c - 3*a, -1215 = -5*c + 5*a. Calculate the greatest common factor of 9 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3)\/4 + (-21)\/(-4). What is the tens digit of (-28)\/(-6)*(9 + m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4655*x + 5. What is the hundreds digit of m(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114455 divided by -6?\nAnswer: -114455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -33.\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5390193 micrograms to kilograms.\nAnswer: 0.0000000005390193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*z - 6*z + 2, -2*l + 2 = z. Which is the closest to l? (a) -1 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (108 - 197842\/1860) + (-6)\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -q + 3*q + 8, 2*f - 2*q = -4. Let s(o) = o. Let u(i) = -1. Let w(a) = 3*a + 7. Let z(l) = -6*u(l) - w(l). What is f*s(c) - z(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 7, -1, 6, -2\/5, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -1.5.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/11, 2893, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 75518 + 2*o + 2*o**2 + 74782.\nAnswer: 2*o**2 - 736","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*i + 15 + 60 = 0, 8 = -2*i. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*p - 15. Suppose 0 = -n + 2*r + r + 278, 3*n - 859 = p*r. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4 in increasing order.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1 - 0.1. Let l = -8.1 + u. Is 0.3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from woxlciixwixxx?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2322, 4531, 6706, 8847, 10954?\nAnswer: 13027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -27) + (-624 - -608).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1997*-68.029\nAnswer: -135853.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5 = 5*u, 5*f - 5*u + 78 - 28 = 0. What is the third smallest value in f, -1\/3, -0.14, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*b**2\/11 + 2024544*b\/11 - 56927477888\/11.\nAnswer: -2*(3*b - 168712)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87480 and 25272.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-3)*594\/17424?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckckk. What is prob of sequence kckc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 42*p**2 + 46*p - 180. What is f(41)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 4\/9*l**4 - 4\/9*l**2 - 14\/9*l**3 + 0*l + 14\/9*l**5 = 0. What is l?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 67374*o**2 - 134760*o.\nAnswer: 3*o*(o - 22460)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 + 28*q - 14. Let d(h) = -8*h**2 + 29*h - 15. Let m(u) = -5*d(u) + 6*j(u). Let y be m(11). Solve -5*t - y*g = -20, -1 = -g + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, m: 9}. Give prob of sequence mgg.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-15.9893.\nAnswer: -0.159893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0742399 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216911 and 5726640?\nAnswer: 97352880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 400863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1646047, -1646049, -1646051, -1646053, -1646055, -1646057?\nAnswer: -1646059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*q - 109*q = 99*q + 243*q + 36777 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 1\/15*b**6 - 4*b + 0*b**5 + 3\/2*b**2 + 0*b**4 + 0 + 0*b**3. What is the derivative of q(j) wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 161*o**2. Let v(s) = 12*s**2 + 15. Let i(a) = -6*a**2 - 6. Let l(x) = 5*i(x) + 2*v(x). Give l(y(j)).\nAnswer: -155526*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 13, 9 in increasing order.\nAnswer: -3, 9, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2892 and 2687628.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -5*u + 3*o - 108, 0 = -u - 4*o - 38. Let n(m) = -2*m**3 - 3*m**2 - 3*m. Let p(b) = -11*b**3 - 17*b**2 - 17*b. Calculate u*n(d) + 6*p(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f - 2 = 0. Suppose f*m - 29 = 11. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0*l + 5*l + 0*l**2 - l**2 + 4. Let x(h) = -h**2 - 5*h + 2. Let q be x(-6). Let m(v) = -v**3 - 4*v**2 + 5. Let u be m(q). What is o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43318 rounded to two decimal places?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3 and -2*3\/(-36)*1488\/(-264)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 405*n + 105. Determine s(-1).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38312 divided by -19156.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 0.2 (c) -0.2 (d) 332.1 (e) -3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, i: 1, r: 2, z: 1, c: 1}. What is prob of sequence ycz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.8 - -53.2. Let w = r - 85. What is the fourth biggest value in w, 5, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - 38)\/(-6) + -15. Let d be -3*3\/(-18) - (-12)\/r. Which is bigger: 4\/201 or d?\nAnswer: 4\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -170?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464 - -457. What is the nearest to 0.5 in -2\/15, 1\/3, z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 985 + 649?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2246078.99938 - 2246139. Let b = 100 + -40. Let n = y + b. What is n rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*y + 182 - 40 + 146 = 0. Solve 5*a + 16 + y = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y**3 + 82*y**3 + 86*y**3 - 245*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29303 or 3662971\/125?\nAnswer: 29303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:45 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -17\/3, -1, 2\/9, 0.8 in ascending order.\nAnswer: -17\/3, -2, -1, 2\/9, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*s**5 + 31*s**2 + 926*s + 1.\nAnswer: 1380*s**3 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -215.139754 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -4, -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 4:40 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/4 + 41*i**3\/4 + 399*i**2\/4 - 441*i\/4 = 0. What is i?\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2377750*g**2 + 4665747*g + 2.\nAnswer: 4755500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + w**3 - w**3 + (-1 - 2*w**2 + 1)*(4*w - 4*w - w**2) - w**4 + w**4 + 2*w**4 + 30*w**4 + 75*w - 75*w - 9*w**3 - w**4 + 9*w**3 + 1 - 1 + w**4.\nAnswer: 33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158 + -124 - (-46)\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5747)\/(-7) + 2 + 0. Suppose -k = -5*w - 163. Calculate the remainder when w is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 3. Let f = g + 1. Which is the third biggest value? (a) 1 (b) f (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 27 = -3*p, 33 = -4*o - 4*p + 1. What is the tens digit of (o - -7)\/(978\/(-327) - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151\/((-6342)\/(-154))*12\/1958?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**7\/420 - 7*s**6\/80 - 19*s**5\/60 - 3*s**2 - 17. Determine c, given that o(c) = 0.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -575324 divided by 4\nAnswer: -143831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -8. Let q = -22.015 - -0.015. Let b = q - -27. Put b, z, 5\/2 in decreasing order.\nAnswer: b, 5\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -61*a**2 - 6*a. Let k(f) = -60*f**2 - 3*f. Let d(j) = 6*k(j) - 5*y(j). Let b(l) = -2*l**2. Determine d(b(t)).\nAnswer: -220*t**4 - 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z**(-1\/4))**(-20)\/((z**(-1\/4)*z)**(-1\/51)*z\/(z\/((z\/((z*z\/(z**5*z))\/z))\/z))*z*z**(-6\/11)) assuming z is positive.\nAnswer: z**(59511\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*h - 2, -3*x = -h - 2*x + 4. Suppose 14 = 5*f - 1. Suppose -f = 2*g - h. Solve 3*i + g = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548094667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a + n + 4, -a = 5*n + 47 - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1200)\/(-19800)*(-1)\/(-2)*407\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -77\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 334977983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, s: 6, o: 3, w: 1, x: 1}. What is prob of sequence ou?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132710 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2258572545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000389646 rounded to five dps?\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 10, -4 in ascending order.\nAnswer: -4, -3, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 4. Let w(i) = -8*i - 56. Let r(g) = 10*v(g) - w(g). Determine r(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 2*j**2 - 2*j**2 + (1 + 0 - 3)*(-200*j**2 - 216*j**2 + 60*j**2) to u*j + d + k*j**2 and give k.\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -4*v - 41, -45*u + 5*v + 5 = -47*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64930460.\nAnswer: 2, 5, 7, 179, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -189 greater than -192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**10\/529200 - k**8\/35280 + k**6\/2520 - k**5\/30 + 3*k**2. Let h(d) be the third derivative of x(d). Solve h(b) = 0 for b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*o = -52*o + 74 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3819388934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k - k + 4*k - k**2. Let y be n(13). Which is smaller: y or 7\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c + 1. Let k(w) = -2*w**2 + 9*w - 8. Let f(v) = -v**2 + v - 1. Let x(z) = -3*f(z) + k(z). Let q be x(-7). Give s(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/32961 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10119 - 10105 - (-2 + -1 + 1 + 0)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 69.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.67, -2\/53, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**5 + 2*k**3 + 193554*k**2 + 869730*k + 10?\nAnswer: 160*k**3 + 12*k + 387108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.435566 and 2.\nAnswer: 0.871132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 - 12*(-74)\/4?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638164677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**3 - 8 + 7 - 29*n**3 + 1.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -7 - 14*h + 1\/3*h**3 + h**2. List the prime factors of u(-11).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 + 14 - ((12 - 8) + 22)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004018 rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*z - 29, 4 = -4*g + 24. Suppose 2*l = -16 + z. Are l and -7 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 208 + 1348 + 3409)*(-2 + 7 - 4).\nAnswer: 2*m + 4965","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) - (-15 - -15). Let j = 5 - 4.8. Which is the second biggest value? (a) h (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/295 or -0.10163?\nAnswer: 6\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398719.\nAnswer: 7, 211, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38261\/198 - -1706\/9. What is the common denominator of 1030\/140*-3*(-7)\/90 and w?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -18 + 35 + (17 - 36)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128426998 is divided by 5772?\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyty. What is prob of sequence tyty?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4766*q**3 + 2094 - 4768*q**3 - 6274 + 2090 + 2090.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**3\/8 + 13*k**2\/8 - 13*k\/4 - 5 = 0.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89 - 22?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s + 15*s**2 + 36*s - 69*s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + -29 - (-1 - -1 - (-1 + -10))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2 - 0)*8. Let f be (264\/z)\/((-6)\/4). List the prime factors of (-1)\/((-68)\/f - -3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58173, 58136, 58117, 58116, 58133, 58168?\n\"Answer: 9*t**2 - 64*t + 58228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -5238.581.\nAnswer: -20954.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/8*(-3)\/(5 + -2). What is the units digit of 4\/d + 581\/5 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 3840664*f**2 + 3840664*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**4 + 0*k**2 - 7\/2*k**3 + 18*k + 4\/5*k**5 + 0. What is the second derivative of n(d) wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061687015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {r: 1, p: 5, c: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -34, -34, -32, -28, -22, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -5*r**6\/96 + 73*r**5\/6 - 581*r**4\/24 + 58*r**3\/3 + 387*r**2. Factor l(w).\nAnswer: -(w - 116)*(5*w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 8*p - 3. Let i(q) = -16*q + 6. Let h = -12449 + 12454. Determine h*b(r) + 3*i(r).\nAnswer: -8*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -s - 3*n + 3, n + 25 = 5*s. What is the derivative of -5*m**2 + 0 + s - 4 + 13*m**2 wrt m?\nAnswer: 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207 + 83. Let y = v - 294.92. Let k = y - 0.08. Put -1, k, 1 in ascending order.\nAnswer: k, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7229083 + 1803983. Round h to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 - 7*o - 24. Let s be 2\/(-3) + 319\/33. What is the tens digit of w(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1)*50265\/90. Let h = u + 1920. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-23)\/(d\/((d**(-3\/20)\/d)\/d)))**(-15) assuming d is positive.\nAnswer: d**(1569\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -8.92. Let g = -0.02 + b. Let y = -388\/5 - -77. Put y, g, 5 in decreasing order.\nAnswer: 5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640*w - 6303 = 6897 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181066 less than 2771571?\nAnswer: 1590505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240 = -4*h - 4*m, 0*h - m = -4*h + 2250. Suppose h = 27*k - 25*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g. Let y be v(5). Let u(f) = 15*f**2 + 7*f + 6. Let q be u(-1). Calculate the greatest common factor of q and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 10*k**2 - 2. Let q be (-10)\/20*((0 - 1) + -107). Let b = 44 - q. Calculate g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 22*x**2 - 54*x**2 - 9*x**2)*(-5*x + 5*x + 3*x**2 + (-3*x + 6*x - 2*x)*(10*x + 0*x + x)) in the form g + o*x**3 + t*x**4 + f*x**2 + y*x and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 192 = 12*d. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 151*b**3 - b**2 - b + 2. List the prime factors of g(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10*x**2 - 60*x - 70. Let r(o) = -4*o**2 - 20*o - 24. Let a(h) = -8*r(h) + 3*u(h). Let s be 2\/(-4) + 25\/2. What is the units digit of a(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwr when three letters picked without replacement from rnrwnnaarrarnawnnr?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 283.464894 and -1.\nAnswer: -283.464894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 0.09, 0.054, 1\/7, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 10:53 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1889*i - 296553. Determine q(-157).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/sqrt(45) + 2)**2 + sqrt(25)\/(sqrt(5) + -3*sqrt(320)).\nAnswer: 89*sqrt(5)\/69 + 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 16302*m**2 - 227679*m - 211380.\nAnswer: -3*(m + 1)*(m + 13)*(m + 5420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n = -4*n + 2520. Suppose 7*c = 2*c - 30. Let x be (-2 - 6)\/(c\/15). What is the highest common divisor of n and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1567184 and 16.\nAnswer: 1567184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(28)*-5*-3 - (sqrt(112) + sqrt(112) + sqrt(112)*-4))\/(sqrt(196)*1*2 - (sqrt(196) + 4*(sqrt(196) - 1*sqrt(196)))).\nAnswer: 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 3 (c) 0.5 (d) -1987 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1381750.\nAnswer: 2, 5, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**4\/24 + 2*p**3\/3 + p**2. Let y be f(-6). Let z = -6 - -9. What is the biggest value in -5, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261 * 7\nAnswer: 1827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 12*w**2 - 13*w - 4. Determine t(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((2*sqrt(9072)*1 - (-2*sqrt(9072) + sqrt(9072) + -1)) + -4)*6*-2)**2.\nAnswer: -93312*sqrt(7) + 11758608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:51 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 16. Suppose -12 = -h*q - 3. Suppose -3*u + 3*t + 43 + 17 = 0, -u = q*t - 4. What is the least common multiple of u and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 143*o**2 + 65. Let q be (0 + 22)*(-4)\/(-22). Let n(w) = -9*w**2 - 4. Determine q*m(y) + 65*n(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**4\/6 + 3*w**2. Let r be h(-1). Suppose -3*s = -2*z + 11, 5*z - r = z. Let c(u) = -4*u - 4. Give c(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9676600)\/(-2548)*1182\/12. Let f = k - 374076. Let b = 3\/49 + f. Is b at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*n**2 + 76*n**2 - 17*n**2)*(-1 - 3 + 5 + 1 - 4 + 1 - 2 - 1 + 2 + 2 + 3 - 4 + (2 + 4 - 4)*(3 - 3 + 2))*(1 - 2 + 0).\nAnswer: -438*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 3*d - 5*d, -2*d - 4 = 0. Suppose -3*r + 3 = 3*j, q*j - 35 = 5*r - 0*r. Solve 0 = 4*u - 2*o - 8, -j*u + 3*o + 7 = -2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 59773*u - 59773*u + 2, -4*i - 79 = 5*u for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-15) + (-4)\/6. Solve q = -r + 2*y - y, 3*y + 4 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f = -1142 - 1306. Calculate the highest common divisor of 969 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/5)\/(12\/(-20)). Let k = 21.41 - 0.61. Let d = k - 21. Which is the second biggest value? (a) y (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17527450 by -1.\nAnswer: -17527450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-21 + 26) - 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 3*j**2 - 3*j**2 + (j + 3*j**2 - j)*(0*j - 3*j + j) + (2*j + 3*j - 3*j)*(-29 + 29 - 8*j**2) in the form f*j**2 + y*j**3 + r + d*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 255529335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 1 = k, 8*k = 10*k - 3*t - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*n - 30, -6*n + 5*n - 20 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**2 + 11*z**2 - 37*z**3 - 20*z**2 + 33 + 3*z + 9*z**2 wrt z.\nAnswer: -222*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152019123 to the nearest integer?\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*l**5 + 1 + (22*l - 5*l + 4*l)*(l**4 - 2*l**4 - 4*l**4).\nAnswer: -103*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16327 is divided by 1450?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207.7 + -327.8. Round p to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -525, -1145, -2013, -3129?\nAnswer: -4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -40580*j**2*m**2 - 52*j**2 + 48*m**2 + 3923*m - 2 wrt j.\nAnswer: -81160*j*m**2 - 104*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*l - 124*l - 2. Let u(t) = -t + 1. Let m(q) = 9*q - 3. Calculate l*m(d) + 3*u(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.52936 + -5.63. Let j = -3 + 2.9. Let d = j - q. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k + 4*k + (5 - 2 - 1)*(3*k + 2*k - 3*k))*(1 - 6 + 1) + (-6*k + 0*k + 4*k)*(287 - 1483 - 1120).\nAnswer: 4612*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 298*t**2 + 25*t + 238*t**2 - 419 + t + 609*t**2. Let j be k(49). Round j to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/2 + 35*w**2\/2 + 156*w + 414 = 0 for w.\nAnswer: -23, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f + 64. Suppose -60 + 250 = 5*p. Suppose -p + 8 = -5*o. Solve -3*v = 4*l + 19, -2*v - 5*l - f = -o*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/307878 and -121\/22314462.\nAnswer: 513232626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (8 - 7) - 8 - (9 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 0)*(-2*r**2 + 2*r**2 - 2*r**2) - 13*r**2 - 30*r**2 + 29*r**2 + 413 + 55*r**2 - 413 as p*r + a + o*r**2 and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3070000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -853 - -867. Solve 7*n + 21 = -g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by ((-52)\/12 + 2)\/(1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 921 and 46357.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*h - 14. Suppose -3*a - 2*v = -h, -3*v = -3*a - a + 10. Solve -x + 20 = -a*t, 5*t + 0*t = -20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-5 - 3 - (-7 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 716 = p + 128. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 6*r - 3*z - 18, -10 = 2*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.58 or 0.2?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(805\/(-21))*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11166, 22293, 33420?\n\"Answer: 11127*t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 11. Let c be a(5). Let b be 81\/6 - c\/4. Suppose 0 = -4*t - t + b. Is t equal to 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, q: 2, e: 1, j: 1, a: 1}. What is prob of picking 1 c, 1 j, and 1 e?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1561 - 5044161?\nAnswer: -5046052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5577 - -5685. Calculate the smallest common multiple of 20 and k.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473 (base 12) to base 2.\nAnswer: 1010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + u = 27, 5*c + 20 = -5*u + 15. Let z(d) = 10*d**2 - 5*d - 5. Let x(a) = a - 1 + 0 - 6 + 15*a**2 - 8*a. Calculate c*z(j) + 5*x(j).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let q(w) be the second derivative of 5\/6*w**4 - 3*w + 0 + 0*w**3 + 0*w**2. Calculate p(q(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = a, -d + 7 + 10 = -5*a. Calculate the highest common divisor of d and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6acd (base 15) in base 11?\nAnswer: -16060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136)\/(3*3*sqrt(8)) + 1 + 1))**2.\nAnswer: 16*sqrt(17) + 1364\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25e - 1?\nAnswer: 25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(637)*-2.\nAnswer: 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 14*g**2 + 12. Suppose -148*f = -2875 + 803. Give j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(625) + 6*(1*sqrt(625) - sqrt(625) - sqrt(625)))\/((sqrt(150)\/sqrt(20))\/sqrt(6)))**2 + 1.\nAnswer: 312503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-1)\/30 + 13 + (-584)\/120.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 94305, 101542, 108779, 116016, 123253?\n\"Answer: 7237*w + 87068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - b. Let n be a(1). Suppose -17 - 18 = -n*d. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35772 and 682?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4252941 decades to years.\nAnswer: 4.252941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 - q**4 - 4*q**3 - 4*q + 16*q**3 - 2 + 60*q**2 - 6*q**3 + 15*q**2 in the form p*q**2 + j*q + k + r*q**3 + a*q**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -39. Let t be ((-3)\/6)\/(2\/(-44)). Suppose l + t = f + f, -2*f + 21 = -i*l. Solve -4*u + 16 = 0, 8*u - 18 = -2*b + f*u for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5680 + -1296. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 + 232*m**2 - 2468*m + 58. Let v be n(14). Let o**3 - o - 5\/6 + 5\/6*o**v = 0. Calculate o.\nAnswer: -1, -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a factor of 78127513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2 + 4\/3). Suppose 12 - i = 5*u. Solve -9 = -4*g + 5*n, 3*g - u*n = -5*n - 27 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - m - 168 + 172 = 0, -2*s + m + 8 = 0. What is the smallest common multiple of 52 and s?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 29 - 29 - 7*w**2. Suppose 10*p - 88 = -28. Let r(z) = -13*z**2 + 18*z**2 - p*z**2. Determine r(s(l)).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112752 a multiple of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 10*v**2 - 2*v + 2. Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 25*s**4\/12 + s**2\/2 - s - 14. Let o(i) = 38*i + 38*i + 39*i - 122*i. Give q(o(f)).\nAnswer: 1225*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 134 = -124 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**8)**(2\/29)*o\/o**(-5)*o**25*o)**(-48) assuming o is positive.\nAnswer: o**(-45312\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1656, 3300, 4932, 6546, 8136, 9696, 11220, 12702?\nAnswer: 14136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.37 and -0.2.\nAnswer: -20.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 166820 (base 11) in base 3?\nAnswer: 111002201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987082*u - 1987082*u + 45*u**2.\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2 + n - n**2 + 1\/3*n**3. Let r be g(4). Calculate the greatest common factor of r and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295553, 591082, 886611, 1182140, 1477669?\nAnswer: 1773198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3810 divided by -6\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6009 - -3169. What is x rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38896232 is divided by 74088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 2165457 in descending order.\nAnswer: 2165457, 10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 5*r - 45, 0 = -w - 2*r - 0*r - 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1751 and 10.63.\nAnswer: 18613.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-340)\/(-151980))\/((2\/18)\/((-4)\/6)).\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -583?\nAnswer: -583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 355 + -324. What is the remainder when 307 is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, 45, 14, -3, -0.01?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4cdc935 + -4?\nAnswer: 4cdc931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4915566 and 1368?\nAnswer: 19662264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-380)\/65 + 2 + (-6)\/39. Let n be (a\/16)\/(49\/(-56)). Factor -2\/7*d**4 + 2\/7*d**5 - n*d**3 + 2\/7*d**2 + 0*d + 0.\nAnswer: 2*d**2*(d - 1)**2*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 13*k + 9. Let y be d(9). Which is bigger: -37 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 11. Let a be d(-14). Let k = a + 42. Let m be k - (221008 + -5)*3\/(-3). Round m to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139456173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16503 = -60*l + 15423 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 60*o + 92, -6*o + 7*o + 0*o = 4*c + 26 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 212 + -35. Suppose 0 = -4*u + u + b. Let j = u - 57. Solve -i = -j*i - 3*y + 4, -2*i + 2*y = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 620.5 - 620.499999761. Round l to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1264924 and 14\/2363905.\nAnswer: 955017620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1734 + 24293\/14. Calculate the common denominator of b and 69\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 times 0.4?\nAnswer: 538.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 81*b**2 - 492*b + 40. Determine c(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*z**2 - 5*z - 1622.\nAnswer: -18*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20395035 to the nearest integer?\nAnswer: 4516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140125260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -150, -333, -588?\n\"Answer: -36*g**2 - 3*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.022 - 0.078. Let n = 0 - -2.3. Let d = 2 - n. What is the biggest value in 0.3, i, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Suppose 4*o**3 + 2*o**2 + 2*o**4 + o**t - 2*o + 0*o**2 - 7*o**2 - 2*o**5 + 2 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041204 is divided by 260300.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5768063 to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**4\/4 - i**2\/2 - i + 7. Suppose -3*n - 4 = 2*r, 0 = 3*r - 0*r - 5*n - 32. Suppose r*t = -5 + 13. Determine k(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.8 and 34.\nAnswer: 163.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + (-7)\/(-7) + 23*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 + 355 = 8*q. List the prime factors of 21810\/18 - 4\/q.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 8*g. Let k(h) be the first derivative of -7*h**3\/3 - 4*h**2 - 3. Let d(u) = 3*a(u) + 4*k(u). Let d(y) = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let m(b) = 1229516*b. Give v(m(g)).\nAnswer: -1511709594256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001319 - 36?\nAnswer: -36.001319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1166 (b) 2\/11 (c) 1\/3 (d) 7\/3 (e) 2 (f) -0.2 (g) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-160)*-5 + 60\/16. Solve 0 = 9*s - i*s - 15, 0 = -u - 5*s + 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(11*175\/1100).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.5, -5, -1, 3, -4\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 17*x + 16. Let h be b(-12). Suppose -296 = -v - 4*v + n, 4*v + n - h = 0. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33778969?\nAnswer: 7, 911, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/12555050 and -75\/1172.\nAnswer: 25110100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/5)*d*d*((d*d**(2\/7))\/d)\/d)**(11\/5) assuming d is positive.\nAnswer: d**(726\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76)\/sqrt(4) + sqrt(19))**2 - (sqrt(19) - (sqrt(19) - (1*(sqrt(57)\/sqrt(3) - sqrt(19)))**2)))*2 + 5*(2*(sqrt(19) - sqrt(171)) + 4).\nAnswer: -20*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 3. Let q be r(-4). Let k be 210\/49 - (-1 - q). What is the third smallest value in 0, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13642 - 95\nAnswer: 13547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -608, -200, 468, 1402, 2608?\nAnswer: 4092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - ((-50 - -41) + 23 + -15 + 4 + -2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 18.0233887186.\nAnswer: 13.0233887186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**2 + 2*v - 6. Let u be i(-3). Let n be 784\/u*72\/(-2). Let g = 943 - n. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4691 = 20*i - 9. What is the greatest common factor of i and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -3\/2, 2026, -0.2, -0.3, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -735 + 680 + -6 + -7\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -11*y + 9*y + 7, 3*y - 12 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.96 + 11. Let p = q + 0.12. Round p to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7305 divided by 1461.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1976*r**2 + 53*r - 8*r - 34*r - 11*r + 3 to the form j*r**2 + g + x*r and give j.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.623 to 1 dp.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12188*j**2 + 12252*j**2 - 28300*j**2 + 3 as s*j**2 + q*j + r and give s.\nAnswer: -3860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 185702974291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6798\/(-7931)*14\/582.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 174, 215, 256, 297, 338?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 74*h - 421. Calculate the remainder when 3059 is divided by t(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc41 (base 15) to base 14.\nAnswer: 24db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 599 = 5*c. Let j = c - -66. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*s**3 - 57*s + 1 + 39 + 46*s + 1281*s**5 + 4*s**3 wrt s.\nAnswer: 25620*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/16*(1 - 2). Solve -g + u + 1\/2*g**2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 315917662 and 5775460?\nAnswer: 3159176620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101120 - 211?\nAnswer: 100303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 23 = -3*u, 3 = -u + 3*h + 20. Which is the nearest to 1\/2? (a) 24 (b) 9 (c) u (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*g + 6, -4*g + 5*o = 11 - 4. Suppose -25 = 68*y - 63*y. Which is the third smallest value? (a) g (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Let m be (-3)\/h*4\/(-3). Suppose m = 2*c - 12. Solve 2*k = -3*f - c, 3*k - 6 = f + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 3*r + 0 = z + 26, 9921*r - 61 = z + 9913*r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 781*w - 779*w + 10, 0 = 4*w + 4*d + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:30 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5867284755?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h**3*w - 927334*h**3 - 8*h**2*w + 114*h**2 + 2*h*w + 276*h wrt h.\nAnswer: -60*w - 5564004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2450001*s**2 - 8*s + 7. Let r be i(1). What is r rounded to the nearest 100000?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.080998141 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 4*d = 40. Suppose d = -13*q + 17*q. What is the second derivative of 8*z - 17*z**2 + 9*z**2 + 7*z**2 + 6*z**q wrt z?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21 + 5)\/(1\/5). Let y = o + 129. Let w = 46 + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57523867.\nAnswer: 57523867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - l + 1, t - 365*l = -363*l - 9. Put 2, -3, -2, t, -8 in descending order.\nAnswer: 2, t, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*c**2*m**5 - 88*c**2*m**4 - 6*c**2*m**2 - 8*c**2*m + 4*c*m + 11*m**2 wrt m.\nAnswer: 5100*c**2*m**2 - 2112*c**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4)\/10 + (-126)\/(-90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(2) - sqrt(6)\/sqrt(3)) + -3)*-1)**2*-4.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 240, 950, 2132, 3786, 5912?\n\"Answer: 236*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03159357 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:44 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -117) + 372*39\/(-468)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**8\/336 + 2*t**7\/105 + 2281*t**5\/30 - t**2 - 889*t. Find the third derivative of f(j) wrt j.\nAnswer: 60*j**2 + 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u - 6*u + 4*u + 104801 + 128*u - 104801 + 7*u - u - 2*u + (-2 + 3 - 3)*(u - u + u).\nAnswer: 119*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 989\/8 + -124. Let q = -0.085 + -0.315. Suppose 3*i = -4*k + 3*k + 13, -5*i + 21 = k. What is the nearest to k in 7, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 11) to base 3.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.568196 - -5852282.\nAnswer: 5852283.568196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13438 + 7705. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-12349461.\nAnswer: 49397844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*a + 3, -3*a - 5*j + 2 - 1 = 0. Let x = 7 - a. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37814?\nAnswer: 2, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/7 - -1 - (-372)\/(-1260). Let m(h) be the first derivative of -2\/5*h**2 - 2\/5*h + 3 - j*h**3. Solve m(y) = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 146562 = -2*q, 4*q + 98 - 102 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 4 + 11 + 2*a)*(-5 - 6 + 0)*((-2*a + 1 - 1)*(1 - 2 + 2) + 2*a + a - 2*a) as n + w*a + k*a**2 and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-20)*-3)\/((-2)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 7 + 23*h**2 + 15*h + h - 15*h**2. Let v(o) be the second derivative of o**4\/6 + 5*o**3\/6 + o**2 - 54*o. What is 2*r(z) - 7*v(z)?\nAnswer: -2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -154.6. Let b = 159.69 - 142. Let j = b - k. What is j rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 124404 - 248803 + 4*q**3 + 126*q**2 + 124397 - 126*q**2.\nAnswer: -10*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -501243 minus -143?\nAnswer: -501100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6600345.1 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -179096 and -717876.\nAnswer: -896972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*i + 2*l - 144, 0 = 3*i - 5*l + 131. Is (-1)\/(((-1)\/i)\/(-1)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21155*w**3 + 18951*w**2 wrt w?\nAnswer: 126930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*d - 22, -9 = -5*d + 5*p + 31. Suppose 2*h - d = -h. Solve h*z + 15 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/1323*-3*-9*(-14)\/(-2). Let h be (-2)\/(-3) + 12\/(-45). Put b, -3, h in decreasing order.\nAnswer: b, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -19*i - 363. Let b be o(-19). Put -4, 152, b in decreasing order.\nAnswer: 152, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 - -8 - -11 - (-5 - -2). Solve -2*k + 5*g = s, 4*k = -g + 9 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -181.58 and 1.\nAnswer: -181.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*v - 7, -4*s - 2 = 4*v + 2. Let p = 101 - 96. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of 97*c**3\/2 + c**2 - 8*c. Is q(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 5748060.\nAnswer: 17244180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 0*t - t)*(5 - 4*t + 2*t - 3 + 2*t - t + 0*t + (-2 + 3 + 1)*(-4*t + 2*t + 4*t) - 3*t - 3*t - 2*t).\nAnswer: -15*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/(-6))\/5)\/((-16)\/128*-14)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/70135?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o, -60*o = -2*a - 65*o + 1008. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2, -4*i - 6 = -k + 2*k. Suppose k*r - 10 = 82. What is the remainder when 226 is divided by r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 103350780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 15*k + 6. Suppose 0 = -g + 11 - 4. Let b be x(g). Suppose -j = 2*j - b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 35*b - 63*b)*(20*b**2 - 20*b**2 + 7*b**2) + 3*b**3 + 0*b**3 - b**3 in the form t + p*b**3 + h*b**2 + n*b and give p.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2*i\/((i*i**9\/i)\/i)*i*i**(2\/9)*i**(2\/19) assuming i is positive.\nAnswer: i**(-628\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.99 - 2.01. What is the second biggest value in 0, 2, f, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**3\/2 - 34*g**2 + 102*g. Let y be o(-26). Solve -y*m - 28 = 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*p - 3*p + 5, 12 = -3*p. Let w(k) = -2*k**2 + 19. Let d(f) = f**2 - f - 20. Let z(a) = x*w(a) - 2*d(a). What are the prime factors of z(-7)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1776641056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 4, -50, -4, 2, 5, 22 in decreasing order.\nAnswer: 22, 5, 4, 2, -4, -45, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from aaarrraaaaarxaaarx.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -38, -59?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**3 + 16*d**3 - 420*d**2 - 472*d**2.\nAnswer: -d**3 - 892*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*g + 3780 = -38*g. Solve 3*f + 168 = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4929\/2013 - 2\/3. Let k = c - 10\/183. Calculate the common denominator of k and -75\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78360 to the nearest one thousand.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 - 35*z**3 - 70*z**2 - 40*z.\nAnswer: -5*z*(z + 1)*(z + 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = -3*g, 0 = -2*d - 10*g + 14*g + 22 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 393, 390, 385, 378?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-2 - 1 - -6) - 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 20*d**2 - 18*d - 51. Give w(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-14 + 0 - -7 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -35. Let n = 112 - q. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 60*h**2 + 166*h + 283. Calculate k(57).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.053 (b) -1\/4 (c) -5\/3 (d) 0 (e) -0.01 (f) -2\/3 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -9 + 7 - (-29 + (-8 - -5))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 - 12*m - 6. Let o(b) = -8*b**2 + 13*b + 7. Let p(r) = -7*l(r) - 6*o(r). Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 4*c - 10. Let u be p(-7). Suppose -u = -4*l - m + 4, -5*l = 2*m - 21. Suppose 4 - 13 = -l*z, 4*i - 2*z = 734. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 973025, 1946046, 2919067, 3892088, 4865109?\n\"Answer: 973021*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 + 285. Suppose -a*p = -30*p - 17430. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115452315 divided by -3\nAnswer: 38484105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4897 + 247402. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 = -4*a. Suppose a*q = 3*k + 29, -k = -q - 2*k + 2. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/13 - 29\/52. Let m = -2 + 17. Let n be 1\/((m\/(-6))\/(-5)). Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.3 + -9.3. Which is bigger: u or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-378)*6\/4. Let r = -37\/7 - -127\/28. Which is the closest to w? (a) -3 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -32.8. Let y = x + -5.7. What is the closest to -0.1 in y, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*h - 183 - 170 = -59 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(49)\/(sqrt(63)\/(sqrt(36)\/sqrt(4))) + 1)**2.\nAnswer: 6*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 222\/(-518) + (-104)\/(-14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1667.8 + 1670.8. What is the third smallest value in z, -2\/5, 1177?\nAnswer: 1177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99598831?\nAnswer: 947, 105173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -76, -0.2, 5, -17.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let u be 13\/(-2 + (-10)\/k). Suppose 0 = -4*t + 2*b + u, -5*t - 3 = b - 18. Solve 2*v - t + 10 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -7*b**2 - 120*b - 38. Determine l(-17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -15*w**2 + 44*w - 106. Calculate c(3).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/5 (c) 2 (d) -1448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00071874756 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.65, -2, -0.3?\nAnswer: -4.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 67. Calculate the remainder when 118 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52390\/301 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Suppose -4*w - 276 = -c*w. Let f = -48 - w. Calculate the lowest common multiple of f and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -1) + 197 + -235 + -77.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (175 - 75) - -38?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h + 1053 = -3*c, 2*c + 712 = -4*h. Let v = c + 691. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -184, -2, -1, 1\/4 in descending order.\nAnswer: 1\/4, -1, -2, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3*z + 0*z - 2)*((6 - 4 - 3)*(2*z + 0*z + 2*z) + 3*z + 0 + 0) to the form j + w*z**2 + d*z and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (852\/(-355))\/(-1*(-6)\/200).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j. Let n be (-192)\/112 + (-2)\/7. Let x be 2*-1 + n + 35. Let t(u) = 0*u**2 - x*u - 2*u**2 + 31*u. What is t(p(v))?\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3629 - -3639. What is the remainder when 629 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 138282?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3459 = -r - 3*h, 0 = 4*r + h - 10780 - 3001. Let v = 605 + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2*sqrt(1008)*4 - (-2 + (sqrt(1008) - (sqrt(1008) - (sqrt(1008)*2 - sqrt(1008)))) + -1)) + 5)**2.\nAnswer: 2016*sqrt(7) + 49536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 5*r**2 - 7*r + 67 + 1\/4*r**4 - 3*r**3. Calculate h(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x**2 + 0*x + 2\/5*x**3 - 2\/5*x**5 + 0 + 0*x**4 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155 divided by -12696.\nAnswer: -155\/12696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -65?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/160)\/((-5)\/80)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/25*3\/(-18)*1004. Let f = 1205 + p. Factor 2\/5*j - 3\/5*j**2 + f*j**3 + 0.\nAnswer: j*(j - 2)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h - h - 10*h + 5525*h**2 + 5*h to the form s*h + p + v*h**2 and give v.\nAnswer: 5525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 359321, 359314, 359303, 359288, 359269?\n\"Answer: -2*g**2 - g + 359324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 79\/4*p**4 + 1\/3*p**3 + 0*p**2 + 2*p - 30. Find the third derivative of d(s) wrt s.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, j: 1, l: 1, a: 1}. Give prob of sequence lab.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713 - 82. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*a = 54 + 51, -3*a + 3 = 0. Let p = -23 - u. Let z(l) = 1 + 0 - l**p + 3*l**2. What is z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/17)*j*(j**(-23)\/j)\/j assuming j is positive.\nAnswer: j**(-410\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/22344 and 65\/96.\nAnswer: 89376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.43, 0.224, -5\/16, -1\/3?\nAnswer: 1.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(24\/(-53906)) - 91\/26?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - -6*(sqrt(396) - 1*sqrt(396) - sqrt(396))) + sqrt(396))**2 + 4 + (sqrt(5324) + sqrt(5324)*-1 + -5)**2 + 0.\nAnswer: 6365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 692 = -238. Suppose -6535 = -98*p + x*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.0117936 to one decimal place.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/(-22) + -2 + 2 and (-4)\/18 - 631\/(-126).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.11, -1, -236?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*b + 112250, 4*d + 7982 = 2*b - 104232. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.128 + -0.608. Let a = g + 0.736. Round a to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58431901?\nAnswer: 11, 73, 72767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 14 = 34 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, c: 12}. Give prob of sequence ceec.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51e6d - 3?\nAnswer: 51e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -65. Suppose 0 = g*y - 46*y. Solve y = -3*d - 7*o + 2*o - 25, 35 = -5*d - 5*o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29.2 or -23514.1?\nAnswer: -23514.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 22 = -8. Let d = -3 + z. Find w such that 9*w - 1 - 3*w**d + 6*w**2 - 3*w**5 - 7*w**3 + 4 + 4*w**3 - 9*w**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 663 + -756. Let t be (-18)\/8*620\/z. Is t at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2911 + 8896 = 4*f, 0 = 5*f + 2*g - 14764. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87926825 greater than -87926822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 - 168. What is the third derivative of -g*i**2 - 504*i**3 + 92*i + 443*i**3 + 5*i**2 wrt i?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 + 66. Let t(l) = 2*l**2 - 4*l - 12. What are the prime factors of t(f)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 30 = 5*u - 175, 2*p = 3*u - 124. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkktkuutuktcckutk. What is prob of picking 1 u and 1 c?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 1:43 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 12.8. Let k = 4.6 + t. Let u = -0.7 - -0.6. What is the nearest to u in -3, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 2*s**2 - 2*s - 2. Let w be x(3). Let t = w + 1. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -1)*(5 + 0). Suppose -5*c - 11 = -4*c + 5*n, 25 = -u*n. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*(13500\/(-1020))\/(-45)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {w: 1, f: 5, i: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -24917, 832\/15 in decreasing order.\nAnswer: 832\/15, -5\/4, -24917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*t - i + 4, -4 = i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*r*w**4 + 14*q*r*w**3 + 15*q*r*w + q*r + 2*q*w**4 + 2*w**2 wrt w.\nAnswer: 48*q*r*w + 84*q*r + 48*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/((n*n**(2\/23))\/n))\/(n**(-1))**(-22))\/((n*n**(2\/13)*n*n)\/n**(-7\/3))**(1\/2) assuming n is positive.\nAnswer: n**(-21376\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**4*t - 173*f**4 + 2*f**2*t + 2453*f**2 - 2*f wrt f.\nAnswer: 48*f*t - 4152*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 4*y - 3. Let t be b(5). Suppose 2*z - 54 + 18 = 4*a, -4*a = 4*z - 60. Calculate the greatest common divisor of t and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427143159 to the power of 1\/2, to the nearest integer?\nAnswer: 20667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4409 - 286561\/65. What is the common denominator of -23\/35 and g?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (157\/(48670\/124))\/((-52)\/10)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203497 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -117\/616 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l + 12*l = -75 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2684 and 3660.\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 + 3*a - 8. Let h be p(5). Let c be 0\/(1*(1 - 2)). Suppose h*g = -c*g + 1127. List the prime factors of g.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 58*k - 84. Let g(b) = -87*b + 117. Let p(n) = 5*g(n) + 7*x(n). Let m(d) = 24*d. Give p(m(s)).\nAnswer: -696*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-9)*d)*(d**(-4\/15)*d)\/d*(d**(1\/5)\/d)\/d**(-13) assuming d is positive.\nAnswer: d**(314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 63018194353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12*x**2. Suppose 3 + 15 = 2*i. Let a(h) = -8*h + 0*h - i*h + 16*h. Give v(a(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**4*g)))\/(g**(-4)\/g))\/((g*g**(-1)*g*g*g)\/g)**(3\/10) assuming g is positive.\nAnswer: g**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 5*p + 7. Let g be s(3). Suppose 9*n - 183 = -l + g*n, 770 = 5*l - 4*n. Suppose q = -0*q + 3*a + 29, 2*a + l = 5*q. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -6*w + 7*w + 35, -3*t = 5*w + 19. What is the remainder when (t - -105) + (1 - -4) is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4320814499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -782 - -834. What is the greatest common divisor of 8 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3743, -2\/17, -5486.\nAnswer: -5486, -0.3743, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3 + 5)*(0*u + 0*u - 2*u) - 10*u + 6 - 6 - 2 + 4*u + 2)*(6*u**3 - 4*u**3 - u**3) + 21*u**4 + 8*u**2 - 8*u**2.\nAnswer: 19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485763871 to the power of 1\/3, to the nearest integer?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -305, -679, -1203, -1877?\nAnswer: -2701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -42, -2.42, 25?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2. Let c(v) = 13. Let z(w) = 12. Let x(q) = -3*c(q) + 4*z(q). Let h(d) = 5*f(d) + x(d). Let s(p) = 3*p - 1. Give -2*h(g) + s(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*f + 454*f + 21 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1011001111001011 (base 2) to base 5\nAnswer: 2433102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 29 (c) 23 (d) 85143\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*60\/(-864))\/((-7)\/(-21))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*m**3*v**2 - 229*m**3 - 2*m**2*v + 63*m*v**2 - 9*m*v + 9*m wrt m?\nAnswer: -48*m*v**2 - 1374*m - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/3 + 7. Which is the second smallest value? (a) j (b) 4 (c) 1 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 58?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 49 = 5*v, 2*v + 10 = -5*d + 47. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -7. Suppose s = -3*s + 28. What is the remainder when 72\/s + 10\/(-35) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532207 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -2 - -3)*-1. Suppose -k + c = -5*b - 11, 3*b + 8 = 2*k. Sort 1\/9, b, -1\/3 in descending order.\nAnswer: 1\/9, -1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -175*j - 8747. Give i(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 94, 106, 140, 208, 322?\n\"Answer: 2*h**3 - h**2 + h + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmmhhhhhhhhhhmhmh. Give prob of picking 2 h.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 1. Suppose 0 = 2*t - 6*t + 4. Suppose u = 2*u - t, -d + 3*u = 4. Let y be g(d). Solve y*b = -2*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 26941484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -12. Let z = 7 - g. Which is the biggest value? (a) z (b) 4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -663.99998882 - -664. Round n to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 130584?\nAnswer: 652920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from oocdppdpoo?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:02 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -18. Let q(n) be the second derivative of n**4\/12 - 5*n**3\/6 - n**2 + 2*n. Calculate q(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208768*0.33\nAnswer: -68893.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 52, 1, 252, -3.\nAnswer: -3, -2, 1, 52, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/5)*l*l*l**(-4\/9))**(-50))**(1\/20))**(-6\/23) assuming l is positive.\nAnswer: l**(88\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (285\/190)\/((-23)\/16 - -2)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9727 is divided by 174.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157810 is divided by 1150?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 104901.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/28*(-29)\/(1972\/(-3094))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2 - 9 = y + 21, 0*j + 2*j + 12*y = 6*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 991 (c) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) + (sqrt(600) - 1*sqrt(600)))*-3*1)\/((sqrt(600)*2)\/(-2*sqrt(9)\/sqrt(3) + sqrt(3))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lck when three letters picked without replacement from {k: 1, y: 2, z: 4, c: 2, l: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 24*h**2 + 22*h + 26. Let t be u(23). What is the highest common factor of 447 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*z + 11, -16 = -80*i + 76*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10035 at most 10034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 182 - 155. Suppose 5*i - 93 = k, 2*k - c = -3*i + 21. What is the lowest common multiple of 12 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*f = 1420*f - 163*f - 42714 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1487 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-72 - 8 + 33)*(-2*z + 3*z + 0*z) + 2*z - z + 6*z)*(z - 2*z - 2*z) + (2*z + 3 - 3)*(-z + 4*z - 4*z).\nAnswer: 118*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 8. Let y be v(4). Let c be y\/18 - 5993\/(-117). Suppose -m = -c + 1. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -56*j**3 - 5*j + 5. What is g(1)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4331522099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 + 2.6. Let t be 8\/(-10)*-1*50\/(-340). Let z = 2 + -4. What is the closest to d in t, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21644)\/(-3865)*5\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19701973 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -96, -382, -858, -1524, -2380?\n\"Answer: -95*l**2 - l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161098?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -3*1*sqrt(77))\/(-1*sqrt(176)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 5*i**3)*(-12808 - 52*i**2 + 12808) + 1 + 5*i**3 - 5*i**3 + 2*i**5.\nAnswer: 262*i**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00158908848 rounded to seven decimal places?\nAnswer: 0.0015891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - f - 167, 4*a - 44 + 727 = -f. Put a, 0, 5 in decreasing order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.265680403\nAnswer: 1.265680403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -946*l. Let k(p) = 71*p**2. Calculate r(k(s)).\nAnswer: -67166*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49364513?\nAnswer: 11, 4487683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200)\/(sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10)) + 3*2*sqrt(20))\/(((sqrt(4) - -2*sqrt(64)) + sqrt(4) + sqrt(8)\/sqrt(2)*3)*-2).\nAnswer: -95*sqrt(5)\/78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62 + (8 + -6 - 4). Let h be (q\/(-16) + 3)*4\/(-6). Which is greater: h or 0.49?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**2 + 40157 - 120501 + 40163 + 40181.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 12728\/(-72)) + (-2)\/(-9). Let z = h + -22. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21956 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2 + (-2)\/12. Let c = 61 + -63. Is v at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -2*a**5\/15 - 17*a**3\/6 + 10*a**2 + 19. Let n(q) be the second derivative of s(q). What is the derivative of n(o) wrt o?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 12, v: 5}. Give prob of sequence vzdz.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 18845570809131?\nAnswer: 18845570809131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -41.1. Let u = d - -1.7. Suppose 7*n - q = 2*n - 11, 3*n + 4*q = -25. Which is the second biggest value? (a) u (b) -3\/8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38620 (base 14) in base 7?\nAnswer: -1114340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10)*i)\/i*i**(-1\/2)\/i*(i*i**14\/i*i)\/((i*i\/i**(9\/7))\/i) assuming i is positive.\nAnswer: i**(347\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {i: 2, b: 1, f: 6, a: 2, t: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 - -1 - (31 - 28)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 4. Let z be l - (-4)\/((-24)\/9). Let w = -3.1 - -0.1. What is the nearest to z in w, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 922*f**2 - 4644 - 17952*f**2 + 4644.\nAnswer: -17030*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 136*u**3 - 3*u - 2. Let w(h) = -271*h**3 - h**2 + 7*h + 5. Let g(i) = 5*j(i) + 2*w(i). Is g(1) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43854988?\nAnswer: 2, 10963747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + (-2*sqrt(7260) - sqrt(7260)))\/(-5*sqrt(10)*2))\/(sqrt(2) + sqrt(72)*-2 - sqrt(22)\/(sqrt(11)*2)).\nAnswer: -32*sqrt(3)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 8*p + 8. Let r(m) = 35*m + 5. Let x(k) = 104*k + 16. Let i(w) = p*r(w) - 3*x(w). Is i(-2) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeeseeszseeess. Give prob of picking 2 e and 1 s.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 99, -328 in descending order.\nAnswer: 99, 4, -3, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47136 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-210)*-7)\/((-2)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b**2 - 5*b - 5. Let y be d(0). Put y, -2, -1, 5 in decreasing order.\nAnswer: 5, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -461622 divided by 2\nAnswer: -230811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-28)\/(-12) + -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 62*x + 614. Does 11 divide l(50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*h + 4 = 0, 5*b - h - 25 = 4*h. Solve -8\/7 + 12\/7*t**3 - 2\/7*t**4 + 24\/7*t - 26\/7*t**b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - 23\/(-5). Let j be 16\/(-4) - (-24)\/6. Sort 4, t, j in descending order.\nAnswer: t, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30220 - 5514?\nAnswer: 20302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:32 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -404*u**2 - 88*u + 692. Differentiate f(t) wrt t.\nAnswer: -808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1) + (-10 - -18) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unup when four letters picked without replacement from {a: 4, u: 6, n: 1, h: 4, p: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 38 = -697. Let z = 423\/4 + m. What is the closest to -16 in -0.4, z, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, m: 2, z: 1, f: 1, x: 5, v: 2}. What is prob of sequence mvm?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*j**5*x - 20*j**4*x**3 - 2685*j*x**2 - x**3 wrt j.\nAnswer: -1180*j**3*x - 240*j**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -24, 1\/8, -4, 0, -1\/359, -26, -1?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/8, 13\/10, 0.1 in decreasing order.\nAnswer: 13\/10, 0.1, 0, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + z**2 + 256870 - 256654 - 17*z.\nAnswer: -2*z**2 - 17*z + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2290\/17 or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1619 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 109 - 244 - (-53 - -3 - -11)\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 15) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1 - sqrt(78))*3)\/(sqrt(24)\/sqrt(4)*-6) + ((sqrt(468) + -2*sqrt(468) + sqrt(468))**2 + 2 - sqrt(468) - (sqrt(468) + 1 + 2)).\nAnswer: -12*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 38293, 38294, 38295?\n\"Answer: t + 38292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(8\/3)*u**9)**(-44)\/(((u**(1\/4)*u)\/u)\/u**(-7)*(u\/((u\/u**(-3\/10))\/u))\/u**2) assuming u is positive.\nAnswer: u**(-33797\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.052, 4, -0.4 in increasing order.\nAnswer: -0.4, -0.052, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/((w\/w**(2\/7))\/w)*w))**(-47)*(w*w**(1\/4)*w)**(-34) assuming w is positive.\nAnswer: w**(-225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/c**0*c*c)\/c)**50)**(-3\/17) assuming c is positive.\nAnswer: c**(-450\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -180, -461, -834, -1287, -1808?\nAnswer: -2385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 2651, -4, 0, -3?\nAnswer: 2651","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*l + 18*l - 278 = -98 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 8*v**2 - 7*v + 2. Let t be d(7). Suppose 4*a - t*b = 2*b + 620, 0 = b + 5. Let q = a - 102. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -25, -5, 1\/104, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64845 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5503 (base 8) to base 10.\nAnswer: 2883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 times 4179?\nAnswer: -13790.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 - m**2 + m - 1. Let n be d(1). Suppose 5*r = -4*v + 1 + 18, -6 = -n*r. Let o = -0.7 - -0.4. Sort v, 4, o.\nAnswer: o, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 928 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-144)\/(-5))\/(3\/(15\/2)). Let f be -1 - -8 - 1*-2. What is the greatest common factor of f and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 1\/(4 + -3). Suppose q - 4 = -d. Let c = 11 - q. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 51966?\nAnswer: 51968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:43 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60364 by 4.\nAnswer: -15091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -30. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110401924 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 11. Let r be j(8). Suppose -r*q - 33 = -11433. What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -200*z**2. Let n(u) be the second derivative of -5*u**3\/6 - 5*u - 61. Calculate y(n(p)).\nAnswer: -5000*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 340*h + 14450.\nAnswer: 2*(h - 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -35*a - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47152323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)\/(l\/l**(-1\/6))*l*l**3*l*(l*(l\/l**2)\/l)\/l assuming l is positive.\nAnswer: l**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) 1\/4 (c) 5 (d) -1 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 10:40 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p = -42*p - 36 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -5)\/(2\/6). Suppose 10*b = 12*b - 4*j + 4, 3*b - j - 9 = 0. List the prime factors of 111 - (-6)\/r*b.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1315.\nAnswer: -4\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4250 = 194*s - 3704 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-7)*14\/2. Suppose -p = n*p - 80. Put 5, 1, p in descending order.\nAnswer: p, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1478, -1459, -1414, -1331, -1198, -1003, -734, -379?\n\"Answer: 2*f**3 + f**2 + 2*f - 1483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*l**4 - 2 + 39*l**4 - 19*l**4 + 4*l**2 + 2*l + (l**2 + 3*l - 3*l)*(2*l**2 + 0*l**2 - l**2).\nAnswer: -3*l**4 + 4*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89995.45 nanograms in tonnes?\nAnswer: 0.00000000008999545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 601.\nAnswer: 3\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074979 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15424 and 19762.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, n: 2, e: 12, q: 3, a: 1}. Give prob of sequence aq.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17495 + 17497. Solve 5*p - 2*g - 9 = -0*p, 6 = 4*p - r*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 minus 34?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 j when three letters picked without replacement from hmhjhmjjmhhhmjhmh?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277\/2 + 140. Sort 6, j, 0.4 in decreasing order.\nAnswer: 6, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 14620 - 200 = 0. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3535 (base 6) to base 12.\nAnswer: -5ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10543 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-40)\/12 + 2)*(-3)\/(-2). Let p be 0 - 4\/32*d. What is the closest to p in -4, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/121000950 and -131\/67222750.\nAnswer: 605004750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.00258058.\nAnswer: 0.000516116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -283 - -1066?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -44 - 2*m - 4*m + 9*m**2 - 7*m**2 - 39 + 31. Let y be j(7). Suppose h = -0*h - a + 5, 5*h - 4*a + 11 = 0. Solve y + h = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y + 32 - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/50 + (2 - 1403\/805)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**2 + 3*n - 2. Determine a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55671077 rounded to the nearest 100000?\nAnswer: 55700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 70*y**2 - 1. Suppose -l - 3 = 2*l. Is k(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 0.00962, -3, -10, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8052 - -14124. Suppose d = 9*i + 27*i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000676 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3, 0 = -3*r + r - 4*g - 20. Let j = r + 8. Suppose 5*m = -4*a + 89, j = -5*a + 5 - 0. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01527 minus 0.111591438?\nAnswer: -0.126861438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -1\/132*h**4 + 0*h**3 + 0*h + 2*h**2 + 1\/660*h**6 + 0 + 0*h**5. Factor o(g).\nAnswer: 2*g*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 1\/((-2)\/12). Suppose 0 = m*r - 3*r - 4. Suppose -45 = l - r*l. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 72*f**2 + f. Let p(m) = -1106*m**2. Determine n(p(d)).\nAnswer: 88072992*d**4 - 1106*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1072*a - 26*a**2 + 1062*a + 181*a**2 + 165*a**3.\nAnswer: 5*a*(a + 1)*(33*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*b + 9, 2*d = d + 4*b + 24. Calculate the lowest common multiple of d and (-616)\/(-84) + (-4)\/(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + sqrt(2)) - -3*sqrt(72) - (-1*(-1*sqrt(2) - sqrt(2))**2 + sqrt(2) + sqrt(2) + (sqrt(2)*3 + -2)**2).\nAnswer: 10 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129217606511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 - 16*a + 63. Let k = -96 - -105. Let t be s(k). Suppose t + 310 = 5*f. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 12*f - 148. Suppose v + 2*v + 5*m = 29, 5*v = 3*m + f. Suppose -11*z + v = -10*z. Solve -k - k = -z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -6*y + 31. Let b(a) = 38*a - 10*a - y*a - 12*a. Let p(h) = h - 13. Give p(b(s)).\nAnswer: -s - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 29*b - 148 - 164 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 16665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 64124874.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u + 6. Let g(a) = a**3 - 4*a**2 - 5*a + 5. Let z be g(5). Let v be i(z). Let k = v - 4. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.2814 and -168.\nAnswer: -164.7186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 4. Let g(k) = -k**2 - 5*k - 1. Let o be g(-4). Let j be d(o). Let v be (-2)\/(-9)*(4 - j). Which is bigger: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 27. Let f = v - 12. Let w(r) = -4*r**3 - 4*r**2 - 3*r. Is 11 a factor of w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 + 25. Is q less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 9 - 28) + 29?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + 0.04. Let h = z + -3. Let x = -2 - h. Which is the second biggest value? (a) 5 (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -258.3 - -258. Which is the nearest to -0.01? (a) 5 (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-5) - (-39616)\/40 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-11))\/(-2) - 6\/33. Solve z = 4*g + x - 12, -g - 3*x + 4 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4. Suppose 0 = -k - 0*k. Let s be 2\/(-8) - (k + 3)\/36. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8ac0 (base 14) to base 15.\nAnswer: -7205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*g = -0*g - 4, -3*u = 5*g - 11. Let b be (1 + 0)*4 - 0. Factor b*q - 3*q**3 - u*q + 0*q - q**2.\nAnswer: -q*(q + 1)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93371503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 110647.4033188 and -3.2.\nAnswer: 110644.2033188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 76833162*-1\nAnswer: -76833162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 11:59 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 108873049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -26701615?\nAnswer: -26701616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -6 - (-13)\/3*1. Which is the third biggest value? (a) t (b) 6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 - k**5 - 2*k**5 + (-26*k**5 - 207 + 207)*(5 + 10 - 6).\nAnswer: -237*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 106 = 2*o, 7*v - 2*v + 20 = 0. Suppose 5*h - o = -5*x, -4*x + 4*h = -0 - 4. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(2\/9)*v))\/v)\/v**7)**(-34)\/(((v\/(v\/(v\/(v\/v**(1\/7)))))\/v)\/(v\/(v\/(v\/v**3)))*(v**(2\/7)\/v)**11) assuming v is positive.\nAnswer: v**(19225\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19773682, -39547364, -59321046, -79094728, -98868410?\n\"Answer: -19773682*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -120*i + 29*i - 34*i. Let x(c) = 2*c**2. Give y(x(w)).\nAnswer: -250*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/(k*(k\/(k\/(k\/k**(-18))))\/k*k)))\/k)\/k*k*k\/(k**(-19)\/k))**(-7\/2))**(-1\/7) assuming k is positive.\nAnswer: k**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11 - 31\/(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8029 + -3121. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*s = -38984996, -270*s = 5*p - 266*s + 194924996. What is p rounded to the nearest one million?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 b when four letters picked without replacement from rbambnbamka.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/6 + 10447*k\/2 - 31339\/3 = 0. What is k?\nAnswer: 2, 31339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 11*c**2 + 1032*c - 7454. Give o(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2.7 (c) 0.3 (d) -1\/5 (e) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 6. Let f(m) = m**2 - m - 1. List the prime factors of f(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4 (b) -2 (c) -11\/1253 (d) 2\/7 (e) -6 (f) -5\/18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -6. Let b = r - -35. What is the remainder when b is divided by ((-60)\/8)\/((-1)\/2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -409\/2*j**2 + 3\/2*j**3 + 0 - 137*j = 0?\nAnswer: -2\/3, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 152 - 152 - 21*a + (-a + 1 - a - 6*a)*(-3 - 2 + 1).\nAnswer: 11*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 98*n**2 - 2348*n - 242. Determine m(56).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b + 8. Let h be q(-3). What is the first derivative of -h*l**4 + 62 - 27 + 6*l**4 wrt l?\nAnswer: -152*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 87, 290, 689, 1350, 2339, 3722?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299255324 to the power of 1\/5, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {e: 2, i: 3, o: 3, r: 1, g: 3, t: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18876 and 2616988?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_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 -677048 divided by 3?\nAnswer: -677048\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101368914 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -105014137?\nAnswer: -105014176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Let t be h(-3). Let n(u) = -u**3 - 2*u**2 + 1. Let z be n(t). Put 0, -3, z in ascending order.\nAnswer: -3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2946 = 716*s + 1350 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/20)\/(6\/(-5)). Let f = -360.7 - -361. Which is the smallest value? (a) n (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 1, k: 1, y: 1, o: 1}. What is prob of picking 1 o and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2435 = -3*a - a, 0 = -q - 5*a + 516. Suppose 6*x = q + 301. Calculate the remainder when x is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2685?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**3 - 71*v**2 - 31*v + 132. Let x be u(-35). Sort -4, 3, x, -5, 2.\nAnswer: x, -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) -19 (c) 50\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 179598 and 337353?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-2)\/(-1 - -9)). Solve 16 = 4*c + 2*k, 3*c + w*k = k + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93884 + 0.04.\nAnswer: 93884.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-5 - (0 - (36 - 18))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -824 - -819. Put g, 7, 0, -2 in ascending order.\nAnswer: g, -2, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:12 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.9475 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 17. Let n be 4\/x + 17\/6. Sort -2, n, 4 in descending order.\nAnswer: 4, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 80 = 28*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(550) + -4*sqrt(550)*2)*2)\/((4*(sqrt(539)*1 + sqrt(539)) - -1*-2*sqrt(539))*-2).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 6 = -4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -6 - (-9 + 8 - -6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 9. Let f = 5 + -3. Suppose -2*y + 10 + f = 0. Let b be i(y). Solve -5*a = 2*l - 17, l - 6*a + b*a + 19 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-197)\/((-7289)\/1110) - -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7308413821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18959 is divided by 609?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3\/5 + 4577*y**2\/5 - 27493*y\/5 + 4583 = 0. What is y?\nAnswer: -4583, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1368976 and -57\/158899.\nAnswer: 17796688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 3*z + 2. Let a(o) = -4*o - 2*o - 2*o**2 + 1 + 6*o**2 + 3*o. Let g(c) = 4*a(c) - 3*v(c). What are the prime factors of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -4\/27, -1285, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (28\/(-4)*-2 + 1). Let q be 0 + 28\/98 + (-17)\/r. Let z be ((-6)\/(-5) - 1) + -1. What is the nearest to q in 5, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 3*p - 2*p**2 + p**3 + 5*p**2. Let h(r) = r**2 - 10*r + 12. Let l be h(9). Determine m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 44489.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y + 1. Let x(p) = -2*p + 2. Let k(v) = -v - 6. Let s be k(-2). Let o be s\/(-6) - (-24)\/18. Give o*x(i) - 4*c(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -9309 + 3*v + 9294 - v**3 - v - 2*v**4 as n*v**2 + g + a*v**4 + w*v + b*v**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 0 - 20*y**3 + 2 - 26*y**3 - 5*y**2 + 114*y**3 to m*y**2 + p + s*y**3 + x*y and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1844753, 1844736, 1844721, 1844708, 1844697?\n\"Answer: w**2 - 20*w + 1844772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11285.591 - -11291. Let p = r - 0.409. Put -1.07, 0.2, p in ascending order.\nAnswer: -1.07, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59057909*o - 5 + 4 - 4 + 59057734*o + 5.\nAnswer: -175*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppibujjnjnnnnjnjnnnj. What is prob of sequence bn?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (150\/(-175))\/(((-18)\/24)\/((-4)\/16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by (0 - 2) + (62 - (-5 - -10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7278800649.\nAnswer: 3, 19, 71, 193, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a factor of 32964668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45886 - -13.55.\nAnswer: 45899.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248808*o**3 + 248802*o**3 - 497611*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35200 (base 7) to base 5\nAnswer: -242031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 1 + 1)*(1 + 3 - 3) + 535 + 179 + 20209*t - 20210*t.\nAnswer: -2*t + 714","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06706 - 0.06706. What is the closest to 1 in -0.34, q, -0.1, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 (base 3) in base 5?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnmrfrn. Give prob of sequence mf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 42. Let s = 25 + f. What is the least common multiple of 9 and s?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 3:55 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1844126 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let w be i(-4). Suppose -m + w - 2 = 0. Suppose -4*h + 113 - 105 = 0. Solve -5*a = m*f - 4*a, 0 = h*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. What is the closest to v in -5, -0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -15*g**2 + 24*g - 3. Suppose 0*m = -5*m - 5. Let k(i) = i**2 - 1. Let f(j) = m*t(j) + 3*k(j). Find the second derivative of f(a) wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525, -2035, -4533, -8019, -12493?\nAnswer: -17955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orrv when four letters picked without replacement from iriroovii.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1332000 (base 4) to base 9\nAnswer: 12050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - 4*l - 10. Let x(g) = -g**2 + 5*g + 9. Let a = 26 - 29. Let j(c) = a*x(c) - 2*o(c). Calculate j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 4. Let m(d) = -3*d + 8. Let l(v) = 10*h(v) - 6*m(v). Let b = 3160 - 3154. Give l(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*f, -1 = f + 2*l + 9. Let n = f + 3. What is the derivative of -n + 0*m + 4 - m + 0*m wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 145 - 83. Let h = d + -39. Let j = 79 - h. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 57 = -11*c. Let u be (c\/(-20) - 0) + 1. What is the smallest value in -0.5, u, -0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 1. Let o be y(1). Let q be o*((-18)\/4 + 0). Let a(v) = 17*v - 12. Let r(z) = -4*z + 3. Let d(u) = q*r(u) - 2*a(u). Differentiate d(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 22*f = -2*n + 22, -f - 5 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + -22. Suppose -12*y + 8*y + 456 = i. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/1)\/(-5*24\/4740) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0030231 + 1.3606451. Let t = q - 0.207694. Let m = t - 1.15. What is m rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**8\/2016 + r**6\/720 + 67*r**2 + 47. Let k(q) be the second derivative of c(q). Factor k(t).\nAnswer: -t**3*(t - 1)*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 7. Let a be g(-3). Suppose a*z = z + 40. Solve 0*j - 5*j + z = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3344 and 418?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0 - 1 - 3 + 6*l. Let b be r(11). Let y = b - -21. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299 + -307. Let n be (-3126)\/y - (-103)\/412. Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 503730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5083 - 328?\nAnswer: 4b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 358.48796.\nAnswer: 358.18796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - 19 - (-463 - -331).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -724710 by 7395.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 100 - 78. Let r = -33.1 - 7.9. What is the nearest to w in r, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1.2.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 127, 987, 3409, 8203, 16179, 28147?\n\"Answer: 135*j**3 - 29*j**2 + 2*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5283*p + 828945 = -8996*p - 1136*p - 7904*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16281, 32564, 48847, 65130?\nAnswer: 81413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251.000000539 - -251. What is v rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(28\/56).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44207*a**2 - 1281995*a - 232.\nAnswer: (a - 29)*(44207*a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119217707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5242063 + 1?\nAnswer: 5242064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 306 = -0*w + 3*u, -5*w = -4*u - 1454. Let b be -1 - ((-41 - -1) + 1). Suppose -4*v + w = -b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101111010100 (base 2) to base 15.\nAnswer: -34d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand 176*r - 129*r - 127*r + (-2 + 4 - 1)*(1 + 2*r - 1).\nAnswer: -78*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*v = -390, -3*f - 5*v = 31 - 231. Let a = f + -62. Suppose -a*y + 12*y + 205 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 42*c + 2 - 2 - 11*c + 42*c. Let t(v) = v. Determine a(t(y)).\nAnswer: 73*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157243.\nAnswer: 157243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {s: 4, a: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = 0, -3*d - 2*d + 25 = 5*p. Let h(r) = 31*r + 6. Is h(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 1. Let l(m) = 6*m**3 + 2*m**2 + 8*m - 8. Suppose 6 - 4 = 9*q + 11. Give q*l(g) - 8*k(g).\nAnswer: -6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 + 6*j - 12. Let z be y(-8). Suppose -z*i = -0*i + 2*n - 274, -5*n = 5*i - 345. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 1. Let z = -0.5 + 0.3. Let p = j - z. Which is the nearest to 1? (a) -5\/4 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + -423\/2. Factor -d*y**2 + 0 - 1\/2*y.\nAnswer: -y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4513.28*0.4\nAnswer: -1805.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/952 and 23\/392.\nAnswer: 6664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73691 is divided by 289.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5264715 hours to minutes.\nAnswer: 31.58829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2143*v - 1073*v + 68*v**2 - 52 + 52 - 1070*v.\nAnswer: 68*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d + 792. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6122 divided by -406\nAnswer: 3061\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let s = 12 - 14. What is the units digit of w(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:31 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 2*j, 1 = 2*i + 5*j - 3. Suppose i*z + q = 12 + 2, 0 = z - 5*q + 4. Solve -4*t + 2 - z = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4311 - 4290.87. Let j = x - 21. What is j rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + -8)\/((-8)\/20). What is the highest common factor of q and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*b**3*r**2*x - 2*b**3*x + 52*b**3 + 417*b**2*x + 131*r**2*x + 3*r*x wrt r.\nAnswer: -174*b**3*r*x + 262*r*x + 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9249\/39)\/((-3)\/3 + 2). Let b be 2 + -4 + 2 + 237. Let v = p - b. What is the second biggest value in 0, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (1 + -51)*(-12)\/30 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/39)\/(41\/(-10660))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 minutes after 5:13 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*-35837.\nAnswer: -1361806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9994332 divided by 6?\nAnswer: -1665722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.17675670825553 and 0.06?\nAnswer: 0.23675670825553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1071\/2644 and 9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010000110 - 10000010101?\nAnswer: 1100001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2562 - 2532. Which is the third biggest value? (a) -1\/4 (b) -21 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 290\/1020 + 0 + 12\/(-102). What is the nearest to 0.23 in -1\/7, f, 5\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/(-40))\/(-9)*(-170)\/(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22024 - 22018. Solve -r = -z + 2, -9*r + p*r - 6 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 1597. Is y(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2176124 (base 8) to base 13\nAnswer: 17806a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8850, -2982, 5 in increasing order.\nAnswer: -8850, -2982, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4895642 to the nearest 1000.\nAnswer: -4896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 580 and 5684.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 252844240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130331032 (base 4) to base 14.\nAnswer: 3131c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 404239680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 548 and 16564.\nAnswer: 2269268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009232318 rounded to 4 decimal places?\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18225\/19 + -959. What is the nearest to 0.2 in -4, 1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3661 and 1.6?\nAnswer: -5857.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -8005913\nAnswer: -8005913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 738113856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13067 is divided by 484?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -68 times -61\nAnswer: 4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/50 or -1?\nAnswer: 11\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -69*v**2 + 121*v**2 - 53*v**2. Let s(f) = -1353*f. Give s(w(j)).\nAnswer: 1353*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 + 12*p**2 + 13*p**2 - 17*p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/184 - (-136)\/23. Let s be 5 + -1 - (-3054)\/c. Which is smaller: 514 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58471?\nAnswer: 7, 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 84851 divided by 1049\nAnswer: 84851\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 9. What is the units digit of y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 64. Calculate the greatest common divisor of 4 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*l + 1, -65*g + 70*g + 4*l - 5 = 0. Put 2\/95, g, 4, -5 in descending order.\nAnswer: 4, g, 2\/95, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhbbbhbbhbb. What is prob of sequence hh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f**2 + 2. Let o(d) = d - 7. What is o(g(q))?\nAnswer: -11*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*27\/(-1053))\/((-1)\/7)*3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkdd. What is prob of picking 1 k and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.54 + 0.47. Which is smaller: p or 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5255 - -32055?\nAnswer: 40343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o + 4. Let t be b(5). Let z be 72 - (6 + -14 + 3). Suppose 0 = 12*u + 17 - z. Put t, -4, u, -5 in increasing order.\nAnswer: -5, -4, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15049 - 10343 = -573*f + 44*f for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 237566120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 1, d: 3}. What is prob of sequence pdp?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:52 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 13*t**6\/360 - 11*t**4\/6 - 28*t. Let v(c) be the third derivative of l(c). Let x(b) = b. Give x(v(j)).\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 - b + 5. What is m(-8)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a centimeter in millimeters?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44751 divided by -14917\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + -11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 113478432 divided by 56739216?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - a**2 - 3*a**2 + (-8 + 3 - 2)*(2*a**2 - 4*a**2 + 4*a**2) + 45640 - 45640 - 569*a**2 as z*a + q + t*a**2 and give t.\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3271 - 4963 + 2029 = 82*t + 3*t for t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -64439*c + 708836. What is k(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*i*n - 2*i - 570*n**2 - 367*n + 1847287 wrt n.\nAnswer: 8*i - 1140*n - 367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + sqrt(63) + sqrt(63) - sqrt(63) - sqrt(63))\/sqrt(9) + -2 + 5*(5 + sqrt(7)*1))**2*1.\nAnswer: 552*sqrt(7) + 1537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/3 + v. Let m(f) be the second derivative of -f**4\/12 + 4*f. What is l(m(i))?\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 3*i - 2, i = -j + 4. Let b(d) = 4*d**2 + 2*d - 2. Calculate the remainder when b(i) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5800 + -5552. Calculate the lowest common multiple of a and 32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 143207?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -547.342 - 0.058. Let a = 548 + i. Is a <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30534840 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.62.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -180148 divided by 116?\nAnswer: -1553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*k = 23, -294*w = -293*w - 5*k - 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1315 divided by 5.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15383269861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104701 + 398130 = 16*m + 13*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.049 and -10480205?\nAnswer: 10480205.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1329 or 2897?\nAnswer: 2897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683 != 2689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 = 4*d. Suppose 2*r + 9000076 = -d*r. Let v = r + 13950019. Round v to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 27622549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -0.01 (c) -0.09 (d) 45 (e) -1 (f) 0.259\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tvvvvtddxvvdvtvvvvt. Give prob of picking 1 x, 2 d, and 1 t.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 6*q = -2*k - 1, -q - k + 33 = 3*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(4\/9)*n)\/n)\/(n\/(n\/(n*n\/n**5))) assuming n is positive.\nAnswer: n**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18002969 + 1?\nAnswer: 18002970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -179 (c) 0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -174*n**3 - 20*n + 31. What is y(2)?\nAnswer: -1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -12*d. Let r(l) = 20*l**2 - 50. Let p(s) = 5*s**2 - 12. Let k(b) = -25*p(b) + 6*r(b). Calculate k(j(h)).\nAnswer: -720*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(242)*5 - -1*-3*sqrt(242)).\nAnswer: -792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95909 is divided by 345?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 169131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -13*r - 9. What are the prime factors of l(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46426995 is divided by 340.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*d - 1223*d - 27*b + 0 + 54 = 0, 4*b = 4*d + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**2 + t**2 - 4*t**2 - 2*t**2 - t**2 + 4*t**2 + (-2*t + 4*t - t)*(-1 + 1 - 2*t) - t**2 + 0*t**2 - t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 8*f + 18. Let j be o(-12). Let k = j + 35. Suppose -k*a + 7*b + 75 = 2*b, -5*b = -2*a + 45. Solve a = -5*h - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3366445 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.57 - -2.7. Let w = -82.107011 + 81.977. Let d = w + y. Round d to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/3 + 3\/9. Let l(w) = -w - 5. Let p be l(r). Solve v = n - p*n - 3, -4*v - 3*n = 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-243 + 243 - 15*l**4)*(-l + 4*l - 4*l + (-4*l + l + 2*l)*(-3 + 5 - 1) - 3*l + 6*l - 2*l).\nAnswer: 15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5927725 to the power of 1\/2, to the nearest integer?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/105)\/(2\/(-9)). Let l be 0\/((-3)\/(-3)) + (-2)\/(-6). Let z = -15 + 11. What is the nearest to l in -0.3, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 752 - ((-10)\/(-8))\/(2\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x - 263. Let b(h) = -14*h + 325. Let a(k) = 6*k - 130. Let t(c) = -5*a(c) - 2*b(c). Give t(s(z)).\nAnswer: -12*z + 526","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3))**(-11)\/(h**(-2)*h\/(((h*h\/h**3)\/h*h)\/h))*(h\/(h\/(h**(1\/8)*h))*h**1)**(-5\/9) assuming h is positive.\nAnswer: h**(-421\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.534 - 44164562.\nAnswer: -44164566.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/(-112)*-8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-16)\/(-170)) + 22\/(-88). Suppose 0 = 3*i - 24*i + n. Which is the third smallest value? (a) 6 (b) -0.6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 8*o. Let c(q) = q**2 - 5*q. Let i(v) = 8*c(v) + 5*j(v). Let l(t) be the first derivative of -2*t**2 - 34. Calculate l(i(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 358*j - 6969244 - 2854992. Is j a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252\/672 - (676\/(-1184) - -1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2748*y - 5. Let g be d(-1). Is -4*g\/26*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 791, 732, 677, 620, 555?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15870.14174 rounded to the nearest 100?\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:06 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200970*q + 2 + 403747*q - 202806*q.\nAnswer: -29*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 12. Suppose -a - 12 = -4*u + 3*a, 0 = u + 3*a + v. Factor -2\/5 + 2\/5*b**3 + 6\/5*b - 6\/5*b**u.\nAnswer: 2*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q. Suppose q = 4*r - 70 - 10. Let j(n) = -n**2 - 6*n + 1. Let c be j(-3). Calculate the highest common factor of r and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/53315690 and 19\/4192?\nAnswer: 853051040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 + 12*o - 3. Let k be p(-7). Suppose -2*z = -6*z + 4*f + 36, -5*f = 3*z - k. What is the greatest common factor of z and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 153342284, 153342286, 153342282, 153342266, 153342232, 153342174?\n\"Answer: -o**3 + 3*o**2 + 153342282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1482, 2, -1\/2, -2, 0.216, -0.2 in ascending order.\nAnswer: -2, -1\/2, -0.2, 0.216, 2, 1482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -191? (a) 0.1 (b) -199 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -3*v - 7, 0 = 3*v + 9*b - 11*b + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 231 and 584518.\nAnswer: 12274878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 12) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1671 = -3*w, 4*w + 4109 = 5*l - 126. Calculate the highest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 989.00000929 + -989. Round o to 7 dps.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*i**5 + 25*i**3 + 155*i**2 + 24733289*i?\nAnswer: 1960*i**3 + 150*i + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/100 - p**4\/120 + 9*p. Factor f(y).\nAnswer: -y**2*(2*y + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 33. Suppose 12*i - 5*y + 21 = 14*i, v*i = -5*y + 30. Factor 1\/3*w + 4\/3*w**4 + 0 - 1\/3*w**i - 4\/3*w**2.\nAnswer: w*(w - 1)*(w + 1)*(4*w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*u + 10 + 11, u + 5 = 0. Solve -v*g + 9 = -i, -g - 3*g + i + 17 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = -4*n + 2*q, 21 + 43 = n + 4*q for n.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8888 and 1320?\nAnswer: 133320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -225 + 225.473. Let d = m + -0.39. What is d rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = j. Suppose -4*k + o + j = -3*o, 0 = k + 4*o. Suppose 14 = 5*q - 2*u, 4*u = 3*q - 0*u - 14. What is the closest to 1\/3 in 1, k, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15216 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/30 - 7*q**2 + q. Differentiate r(w) wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*g = 2*d - 454, 5*g = 3*d - 265. Let a = -89 + d. Let y(f) = -6*f**2 + 4*f - 3. Let j(h) = h**2 - h + 1. Give a*y(q) + 5*j(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37841473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10154*h**3 + 3*h**2 - 227491 wrt h?\nAnswer: 30462*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46853 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 238127806 divided by -7\nAnswer: -34018258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 8616*d - 43109. Determine l(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.41, 9\/5, -2407?\nAnswer: -2407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 3*h, 3*g - 21 = -0*h - 3*h. Let q = g + 1. Suppose -1 + 3 = -4*u + 2*r, 4*u + 2*r = 18. Calculate the highest common divisor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.55 + 1.05. Which is the third biggest value? (a) k (b) 2 (c) -3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153404900 a multiple of 5611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, d: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 10900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-6)*x\/(x*x**(4\/7)))\/(((x**(-1\/23)*x)\/x*x)\/((x\/((x*x**(-11)*x)\/x)*x)\/x)))**(-16) assuming x is positive.\nAnswer: x**(-42432\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/283732?\nAnswer: -13\/283732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 + 42*d**3 + 14*d**2 - 4606*d wrt d.\nAnswer: 24*d**2 + 252*d + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1904 is divided by 120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 5*n**2 - 2*n**2 + 8*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/17560 and 167\/724350.\nAnswer: 2897400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -45 (c) 5 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 4*f**3\/15 - 632*f**2\/5 + 99856*f\/5 - 503. Factor b(y).\nAnswer: 4*(y - 158)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 228312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:14 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1942 - 1955. Which is the nearest to z? (a) -2 (b) 2\/17 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - (-6 + 9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11562 + -11581. Which is the closest to s? (a) -0.3 (b) 2\/11 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 4, e: 2, p: 2, w: 4, c: 1}. Give prob of picking 1 e and 1 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 94*h**2. Let p(t) = 30*t**2. Determine d(p(y)).\nAnswer: 84600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -8\/221 (c) -38 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 11. What is the tens digit of (-6)\/i*(-14)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15017 (base 14) to base 16\nAnswer: cbbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3442 - 3215. Let a = 68858 - 40515. Let j = p - a. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.6, 2\/7, 9\/5, -1\/9, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/7)\/((-4824)\/(-192) - 25). Factor -f*j - 36\/7*j**2 + 0 - 4*j**3.\nAnswer: -4*j*(j + 1)*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**6*l**3 - 2819*b**4*l**3 - b**2*l**3 - 17725*b*l**3 wrt b.\nAnswer: -360*b**3*l**3 - 67656*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/12)*l)\/(l*l**(-5)))\/(l**(2\/7))**(-42))\/((l*l**(2\/11)*l)\/l*l*l*(l*l\/(l\/((l*l*l**(-6))\/l))*l)\/l*(l**0)**28) assuming l is positive.\nAnswer: l**(2341\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -4 + sqrt(33)\/(sqrt(11)*1) + -3)**2.\nAnswer: -28*sqrt(3) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.45 - 19.55. Let s = 21.4 + b. Let o = -1 + s. What is the third biggest value in 1\/3, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5229770\/43 and 121624 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-1086)\/23530)\/((-27)\/(-10))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 29*d**7\/2520 - 41*d**4\/12 - 62*d + 1. Let s(a) be the third derivative of z(a). Let w(b) = 3*b. Give w(s(n)).\nAnswer: 87*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 5, e: 4, c: 1, j: 1}. Give prob of picking 2 w and 1 c.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 259*f**3*g + 2*f**3*j**3 + 3*f**3*j + 4*f**2*j - 4*f*g*j**2 + f*j**2 - 2*g*j**3 + 10*j**3 wrt f.\nAnswer: 1554*g + 12*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - 216 + 37 + 45 in the form f + a*p**2 + g*p**3 + o*p and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1754*x**2. Let y(b) = -3*b. What is a(y(c))?\nAnswer: -15786*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - q + 2*q - 1071, -5*w + 5*q = 2685. Which is smaller: w or -532?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3308, -6554, -9800, -13046, -16292, -19538?\n\"Answer: -3246*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*u - 106*u - 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 19 = 2*j, 5*u - 31 + 2 = -j. Let o(n) = -n**2 - 4*n - 5. Let m be o(-5). Let h = m - -50. What is the remainder when h is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 15*m**2 - 15*m + 21. Let w be a(-16). Suppose r + 2*r = w*r. Solve -2*q + r*q = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.947901 millilitres to litres.\nAnswer: 0.004947901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-8))\/((-44)\/((-12320)\/70))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71.048 + -0.048. Let g = -517 - -445.7. Let b = m + g. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + (16 + -8 - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*s**3*u**2 + s**3*u - 300853*s*u**2 + 3*s*u + 45026*s - 59*u wrt u?\nAnswer: 68*s**3 - 601706*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4)\/z)\/(z\/z**(-1\/3)) assuming z is positive.\nAnswer: z**(-37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhsshzhszsshfhhhsrs. What is prob of picking 1 f and 1 h?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5\/7 - 33996*t**4\/7 - 27559260*t**3\/7 - 834971004*t**2 + 2540477520*t = 0. Calculate t.\nAnswer: -7620, -441, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42792, 42775, 42758, 42741?\nAnswer: 42724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 489160538 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = 5*f - 180, -3*q - 4*f + 183 = 0. Suppose -c = 4*c - q. Calculate the highest common factor of 104 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(3\/8))**(-23)\/(a**(-1\/25)*a**(1\/7)))**(3\/16) assuming a is positive.\nAnswer: a**(-36657\/22400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*o**2 + 2*o + 1004 wrt o.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123459 is divided by 1299?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 2*c**2 - 2. Determine o(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*b**2 + 4*b**3 + 0*b**3 - 4*b + 35*b**2)*(3 + 2 - 1) to the form z*b**3 + w*b**2 + x*b + j and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.96351 to 2 dps.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248935*o**3 - 3*o**2 + 2741*o + 2.\nAnswer: 1493610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 9*h**2 + 11*h + 9. What is the units digit of k(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-38733094800\nAnswer: -38733094799.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20821649911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - p + 4, 4*c + 3*p = -32. Let g(f) = -25*f + 13 - 17*f - 14*f. Is g(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let k(c) = 4*c - 3. Let a(t) be the second derivative of 11*t**3\/6 - 4*t**2 + t. Let n(z) = 3*a(z) - 8*k(z). Calculate n(p(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - -18850.7.\nAnswer: 18879.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**2\/2 + d - 49. Let t = -36 - -38. Calculate u(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgng when four letters picked without replacement from xgnxxxxxnnpnxxqnxxn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 7*j + 4*j + 2, 0 = k - 4*j - 23. Let v(a) = -a**2 + 9*a - 7. Determine v(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1790, 14285, 48202, 114251, 223142, 385585?\n\"Answer: 1785*m**3 + m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**3 + 464*u**2 + 8918*u + 8460.\nAnswer: 2*(u + 1)*(u + 45)*(3*u + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-2))\/(-5)*808\/505.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 1 + 4. Let o(g) be the first derivative of -1\/2*g**2 - 1\/2*g**4 + 0*g - 2 - 2\/3*g**3. Give o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**3*k**2*p - a**3*p*q + 11*a**3*p + 39*a**3 + 2*a**2*k**2 - a*k**2*p*q - 2873*a*k**2*q + 2*a*p*q + 3*a*p + 2*a*q - 4*k wrt a?\nAnswer: 42*k**2*p - 6*p*q + 66*p + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/(k\/(k*k**(-2\/5))))\/k*(k\/(k**(-20)\/k))\/k*k**0*k*k\/((k*k**(-4\/5))\/k))**(-7) assuming k is positive.\nAnswer: k**(-889\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**2*h**2*s**3 - 583*b**2*s**3 - 157*b*h*s**3 - b*s**3 wrt h.\nAnswer: -14*b**2*h*s**3 - 157*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251*d + 139 - 390 = 0. Which is bigger: d or -1\/6456?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9065702)\/(-372) + (-22)\/(-12)?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 477 + -479. Let m = -0.05 - -0.1. Which is the fourth biggest value? (a) -3 (b) m (c) u (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.09 in -6\/7, 4, 3, 0.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 1919, 6463, 15321, 29933?\nAnswer: 51739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4588*t + 3672*t + 2 - 3310*t - 2 as x + r*t and give r.\nAnswer: -4226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 6*u - 8. Give p(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*s + 6*s. Let q be (0 + s)*(-2)\/3. Suppose w - 5*k = -3*w + 30, 4 = 2*w + 3*k. Is q bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 4*j - 4*j)*(2 - 2 - 3*j - 1).\nAnswer: 6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - -4*(-3 + sqrt(1331))) + 6*sqrt(1331)*2 + (2*sqrt(1331) + -5 + (sqrt(1331) + 2)*3)**2.\nAnswer: 297*sqrt(11) + 33264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -50010, -200441, -451158, -802161, -1253450, -1805025, -2456886?\n\"Answer: -50143*l**2 - 2*l + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (9 + -12 + -5)*1881\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyygogmcymmyyye. Give prob of picking 1 c, 2 y, and 1 m.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 22. List the prime factors of x(-13).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.1, -34, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b17 + 5?\nAnswer: b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14673, -27519, -40365, -53211, -66057, -78903?\nAnswer: -91749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163.5 - -160. Let s = 3.6 + n. Sort s, 4, 2\/11, -4\/5 in decreasing order.\nAnswer: 4, 2\/11, s, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 0 + 383*q**2 + 8 - 382*q**2 + 14*q. Let y be ((-14)\/(-4))\/(2\/(-8)). What is the units digit of o(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n + 4. Let h be b(-6). Let y = 4 - h. Is 2 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(4\/1) - -13. Suppose p*c - 20 = 10*c. Suppose -4*t = -c*t + 36. Which is bigger: t or 35?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 14*k**4 + 3*k**3 + 3*k - 16. Let g(n) = n**4 + n**3 + n - 1. Let d(f) = 3*g(f) - o(f). What is the first derivative of d(w) wrt w?\nAnswer: -44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 8:06 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 15*i**2 + 7*i + 8. Let q(a) = -10*a**2 - 5*a - 5. Let m(f) = 7*q(f) + 5*x(f). Find the first derivative of m(o) wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 567, 1638, 3215, 5298, 7887, 10982, 14583?\nAnswer: 18690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629416297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15616*j + 15649*j - 27 = -819 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 122880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/77140 and 105\/836.\nAnswer: 848540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1898*d**2 - 46*d**3 - 1965*d**2 - 60*d**3 wrt d?\nAnswer: -636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from zzzwzwzwwwwzw?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2535 and 2373540?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1aa + -b?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204022 and 5133?\nAnswer: 17749914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 365 or 366?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 6. Let d(g) = -19*g - 395. Let q be d(-21). What is o(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = -57. Let o(q) = -18*q**2 + 1. Let z be o(-2). Let w = l - z. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckk when three letters picked without replacement from gwckwgccwm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4505000 to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -6) + -1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3 - 1 - 1)*(2*z - z - 3*z)*(-1 - 4 + 1).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*v**2 - 12*v**2 + 58*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 371, 625, 947, 1361?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(6\/27). Is b\/(-21) + (-4274)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610 and 112.\nAnswer: 34160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0851*0.1\nAnswer: 0.00851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/168 and -37\/1082?\nAnswer: 90888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -31333?\nAnswer: -31321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1526 by -29.\nAnswer: -1526\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - 19?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*y - 3*b, 8 = 2*y - 2*b - 2. Let g be 18\/81 + ((-2)\/9)\/1. Solve -2*s - y = -g*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*t - 340 + 1305 = 3*f, -t - 4*f = 13 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1062)\/27 + 7\/(-27)*-9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14aa4 (base 11) in base 4?\nAnswer: 11030221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + w = -23 + 1, -15*v - w - 92 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 9\/10 in descending order.\nAnswer: 10, 9\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9382 divide 928020530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97 and -284536?\nAnswer: 27599992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -29*l**2 + 2*l - 1. Let d be g(2). Let k = -74 - d. Suppose -3*u - 5*f + k = 0, -4*u - 3*f - f = -44. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: b\"What is the hth term of 131, 278, 441, 620, 815, 1026?\n\"Answer: 8*h**2 + 123*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) 1530087.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 - z**2\/2 + 15*z + 2. List the prime factors of s(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 1 (c) -3758358\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1219 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.984*94\nAnswer: 374.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 2*v)*(-19 + 7 - 16)*(11 + 187*v - 188*v - 42).\nAnswer: -28*v**2 - 868*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*a**2 + 40*a**6 - 5*a**6 + a**2 + 3*a**2 wrt a.\nAnswer: 4200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 40034\nAnswer: -200170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(209)*-1 + sqrt(209) + sqrt(209))\/(sqrt(1584)*3)*-1.\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3841 + 3846. Solve -4*l - 5*x + 21 = 0, -5*l - r*x + 19 = -6*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/15574 and 93\/1303424.\nAnswer: 16944512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7051, 5630, 3299, 58, -4093, -9154?\nAnswer: -15125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (3 - 1169\/(-70)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*y - 26, 0 = -3*y + 12*g - 13*g + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-14\/3)*y)\/y**(6\/17) assuming y is positive.\nAnswer: y**(-205\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144694.\nAnswer: 2, 11, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 135751 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/19197 bigger than 25\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100908 and 16020?\nAnswer: 44904060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 + 9*v - 5. Let q be i(8). Suppose 0 = -2*n - q*n + 45. Suppose 0*x = 4*x - 136. What is the remainder when x is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/8 - 31*f**3\/6 - 3*f**2. Calculate the least common multiple of n(13) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156 and 143702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.67 + -0.07262.\nAnswer: 3.59738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 2*j**2 - 5*j**3 + 68*j**3.\nAnswer: 63*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (255\/(-204))\/(10\/(-124))*(2728\/155)\/44?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 8*y + 8. Suppose 0*r + 8 = -4*r + 4*f, -3*f = -5*r - 2. Let x be 32\/(-20)*(r - -3). Let w(p) = -2*p**2 + 3*p + 3. What is x*w(l) + 3*s(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 5. Let k be w(9). Let x be (-4)\/14 - 4\/k. Suppose -2*i + 4*q + 6 = x, 0 = 5*i - 5*q - 8 - 7. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-11))\/p*p**(-6)*p*p\/(p\/(p\/(p**(-8\/3)*p)))*(p**(-1)\/p)\/p assuming p is positive.\nAnswer: p**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2841.465 + -2641.3. Let w = s - 201. Let o = w - -0.8. Round o to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j + j**2 + (4*j - 6*j + 3*j)*(0 + 0 + j) - 6*j**2 - 1 - 2 + 5.\nAnswer: -4*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - 30*x - 6. Let z be q(-7). Solve 3*w = -w + z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1.1, -1.6, 3, 1\/7, 7, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2127 is divided by 1855.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -295?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2466995889509786\/2451288777147 - 89768\/239687961. Let h = m - 124\/3409. Let w = 17663\/18 + h. Find the common denominator of w and -47\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3639 = y + 5*l - 3669, 12 = -4*y + 2*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26618 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257247 is divided by 2180.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**6\/15 + 19*l**5\/10 - 4*l**4\/3 - 3*l**2\/2 + 37*l + 1. What is the third derivative of f(h) wrt h?\nAnswer: 48*h + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14348*i - 2907*i + 20430*i - 42467*i - 72784*i.\nAnswer: -112076*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15663\/(-9) - 3\/18*-2. Let g = -17469\/10 - f. Let j = -35 + 73. Find the common denominator of j and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145*0.0561446.\nAnswer: -8.140967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43226 is divided by 8151?\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*j + 95*j - 9*j - 10*j - 3*j + j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 + 37 = -4*v. What is the remainder when v is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 10) to base 4\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1389445232 and 2192?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = 25. Let l = c - -8. Suppose -3*i + 3 = -5*r + l*r, 3*i = -5*r + 24. Solve -2*y + 1 + r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 4\/9, 4, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from giiggigiiggigiggii?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679386?\nAnswer: 2, 3, 199, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2\/7*q**2 - 68\/7*q - 578\/7 = 0.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*m**2 - 1341532853 + 1341532853.\nAnswer: -633*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4, 2, -12, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + r + 1. Calculate the remainder when 43 is divided by d(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 378, 396, 430, 486, 570, 688, 846?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26441 and 15344?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/19276470 and -115\/7710588.\nAnswer: 38552940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-10)\/450). Let f be (-3 + 10 + -2)\/1. Suppose 4*o = f*o - s. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y. Let x(c) = -7*c**2 - 9*c. Suppose 0 = 3*d + d + 36. Let s(u) = -3*u - 2*u**2 - u**2 + 0*u**2 - u. Let g(w) = d*s(w) + 4*x(w). What is g(i(t))?\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 950742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -7, 4670, 16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152812 and 3496.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*r - 15520 = 278*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let l(u) = 181*u**2 - 2. Determine l(o(q)).\nAnswer: 724*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 8 = -0*b - z, -2*b + 2*z = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321*t - 320*t + 1 = 0. Let x = 9 + -14. What is the third biggest value in x, -6, t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. What is the lowest common multiple of 253\/22 + -1 + (-9)\/(-6) and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 362 (b) -3 (c) 0 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - 1)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:37 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -260136\nAnswer: -130068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -0*l - 938. What is the remainder when l is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 = -5*x + 14*x + 2*j, 3*j - 5*j = 90*x - 83*x + 226 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39928*f**3 - 25047*f wrt f.\nAnswer: 239568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 1\/12, 1\/2, 0.08?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -447 less than -540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -960*g + 10500. What is j(11)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l - 28*l + 13*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 68*x**2 - 900*x - 4. What is z(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/15183 and 115\/1845578?\nAnswer: 16610202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 6*n + 8. Solve 4*x - 1 = n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59, -277, -573, -953, -1423, -1989?\n\"Answer: -z**3 - 33*z**2 - 112*z + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/5 - (4 + 21\/(-5)). Let r be a*2 + 3 + (-42)\/(-3). Solve 4*i - r - 9 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -42, -53, -72, -99?\n\"Answer: -4*h**2 + h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*m + 3*m - 368, -4*m = -5*v - 479. What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/4 + 169*c**3 - 85683*c**2\/2 + 4826809*c - 815730721\/4.\nAnswer: -(c - 169)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39131 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*l + 860 = 33*l. List the prime factors of l.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5 - 6*k**4 - 32*k**3 - 24*k**2.\nAnswer: 2*k**2*(k - 6)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 2\/3, -7, -168, -2, 0.13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = 150*p + 26. Factor 1\/3 + 2*l + 5\/3*l**p.\nAnswer: (l + 1)*(5*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**2 - 3*r + 2. Let g be j(2). Let s be 8\/g - 16\/(-42). Which is the closest to s? (a) 0.3 (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.38 - -1.78. Let o = -0.04 + 0.04. What is the biggest value in w, -1\/3, o, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:28 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.173 in -5, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*s**3 + 209*s**2 - 374*s**5 + 8*s**3 + s**3 + 290*s**2 wrt s?\nAnswer: -22440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33*h**4 + 2*h**2*r**2 + h*r**3 - 79*r**3 wrt h?\nAnswer: 132*h**3 + 4*h*r**2 + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 1, z: 1, t: 3, a: 6, b: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/97?\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - -0.86. Let d = 1.028 - 0.132. Let q = d - u. What is q rounded to two decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.208, 2, -5\/7?\nAnswer: 3.208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-28)*(c*(c*c**6*c*c)\/c)\/c**5*(c**0*c)**(-2\/53)\/(c**(-2\/3))**(-42) assuming c is positive.\nAnswer: c**(-2758\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 15*s**2 - 9*s - 3. Suppose o + 5 = 31. Calculate the remainder when c(6) is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d. Let x(j) = 2*j + 1. Let h(t) = 3*o(t) + 2*x(t). Calculate the remainder when 54 is divided by h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 69.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/84407 or 1?\nAnswer: 8\/84407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259749 and 192603?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 144 + 2*b**2 - 4*b**2 - 2*b**2 as s*b**2 + k + m*b and give k.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**5 - 6*d**4 - 36730*d**3 + 52391*d + 6 wrt d?\nAnswer: 40*d**3 - 72*d**2 - 220380*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Let k be c(-4). Suppose -3*l - r + 34 = 0, 7*l - 52 = 2*l - k*r. 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 3*w - 1 = 5. Let r = -10 - w. Let p be 6\/r + 2\/4. What is the smallest value in p, 0.7, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 20 = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 350b6?\nAnswer: 350ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54453793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2006612 and 47471?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -2\/3 (c) -4 (d) 3 (e) -572\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*z**3 - 71*z**3 - 226*z**3 + 314*z - 227*z wrt z.\nAnswer: -1878*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5133*h = 2*l + 5137*h + 80, 0 = 7*h + 140 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35.19 - 35. Let t = x + -0.028. What is t rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 - -200. Let z = q + -221. What is the greatest common factor of z and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -806.917 to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 18*g**2 - 38*g - 33. Calculate u(-16).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -29*((-13 - 704\/(-56)) + (-242)\/7) is divided by 205.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246825 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-114)\/9)\/(5\/(-15)). Let y be (25 - -3)*19\/b. What is the highest common divisor of 63 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 56\/8 + 5*5. Suppose 0 = -2*q + 5*q. Suppose q*f + 128 = 2*f. What is the greatest common factor of f and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27769018?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25530.53167 rounded to the nearest 100?\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 231169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:37 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1058 and 2.5?\nAnswer: -0.2645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10249 + -133239\/13. Which is the closest to -0.27? (a) r (b) -0.3 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*a - 7 = -0*a, 3 = 3*l + a. Suppose 0 - 4 = -l*h. What is the common denominator of 117\/14 and -4 + h - (-71)\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1887, 3618, 5347, 7074, 8799?\nAnswer: 10522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 3, 7, -1\/3, 304?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 774 + 1546. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1691712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4591 - 1172. Suppose -10*y + 9569 = l. What are the prime factors of y?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5710f + -21?\nAnswer: -57130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35186 times 1.338\nAnswer: -47078.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/2*(-630)\/(-315).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 6*u - 8*u)*(-4*u + 10*u + 14*u).\nAnswer: -160*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*h**4 + 122*h**3 + 8*h**2 - 122*h**3 wrt h?\nAnswer: 720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*m - 413. Let d = m - 83. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232104 less than 2232107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, 36, -6, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Suppose -384 = -g*w + 672. Let i = w + -236. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (225*34\/306)\/((-3)\/(9\/3)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -23*o + 1. Let n be (6\/(-4) + (-154)\/(-84))*-39 - -6. Let q(v) = -68*v + 2. Give n*f(i) + 2*q(i).\nAnswer: 25*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/(36\/(-1044)). Solve n - 8 = 7*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*q**2 - 191*q**2 + 43*q - 43*q + 379*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1784\/3 + 593. Let h = 4 + -6. Which is the closest to 1? (a) z (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*j**3*m**2*n**3 - 21*j**3*m - 2*j**3 - 4*j**2*m*n + 3*j**2*m - 2*m**2*n + 768*n**3 wrt j?\nAnswer: 300*m**2*n**3 - 126*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 107 = 2*b - 103, 4*b - 4*p - 28 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*v - 19*v**4 + 1236*v**2 - 211*v**4 - 1236*v**2 wrt v.\nAnswer: -2760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/60 and 41\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a92 - 3?\nAnswer: 8a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 178, -4, -19.\nAnswer: -19, -4, 0, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-320)*-25*(120\/(-9))\/(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 7, 3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z\/z**(-5))\/z*z**(-3\/2))\/((z\/(z**11*z*z))\/(z*z\/(z*z\/z**(-2\/21)*z)*z)) assuming z is positive.\nAnswer: z**(815\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + q + 673. Let h = -18 + 30. Let y(o) = 2*o - 24. Let c be y(h). Is l(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 983.1968l?\nAnswer: 983196.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2. Let i(s) be the first derivative of -11*s**5\/120 - 4*s**3\/3 - 3. Let z(n) be the third derivative of i(n). What is r(z(c))?\nAnswer: 121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -204.9817 - -205. Round b to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -140110 or -0.2?\nAnswer: -140110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -7999*z - 3. Let a(o) = -o**2 + 9*o - 11. Let i be a(8). Let s be 0 + 4 + i + 2. Let l be y(s). What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-175)\/14 + 2\/(-4). Let c = -13 - k. Suppose 16*l - 13*l - 87 = c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 17496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 167712480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -63458 divided by -8\nAnswer: 31729\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1081829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*4*(-3262)\/112. Which is bigger: 1869\/4 or v?\nAnswer: 1869\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.42, -2310\/61, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3166107 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8 - 3. Let r(w) = -z + 8*w - 10*w + 10*w. Let v(d) be the third derivative of d**4\/24 + 3*d**2. Calculate r(j) - 6*v(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 - 2*x - 1. Let n be f(-1). Let k be 4*(-8 + n + 6). Is (-9)\/(-12) - 525\/k a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767636 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*q - 12, 0 = 2*f - 6*q + 2*q + 8. Let d(c) be the second derivative of 1\/54*c**f - 3*c - 2\/9*c**2 + 0 - 1\/27*c**3. Factor d(p).\nAnswer: 2*(p - 2)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1866 or 0?\nAnswer: -1866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -46*q + 1259. Determine f(28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10559737, 10559743, 10559737, 10559713, 10559665, 10559587, 10559473?\nAnswer: 10559317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**5\/4 - 42221*p**4\/4 = 0.\nAnswer: -42221, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -441.\nAnswer: -2\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 93623*d**2. Let h(c) = -1471*c. What is p(h(g))?\nAnswer: 202585285943*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 128*c**4 - 1075*c**3 + 1762*c**2 - 816*c.\nAnswer: c*(c - 6)*(c - 1)**2*(c + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/7))**(-1\/18)*((o**(3\/13)\/o)\/o)**(-22\/9))**41 assuming o is positive.\nAnswer: o**(292043\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -506*v**2. Let z(s) = -6522*s. Determine u(z(b)).\nAnswer: -21523460904*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.013688 and 253?\nAnswer: 252.986312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 763 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336682777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2999 in -5, -0.2, -1\/29, -4?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33188893.\nAnswer: 1213, 27361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2*1)\/((-5)\/(-15))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - -18 - 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43220357?\nAnswer: 677, 63841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -17*f**3\/3 + f**2 - 6*f - 184. Let w(j) = -11*j**2 + j - 4. Calculate 5*t(i) - 8*w(i).\nAnswer: 3*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-1662)\/3132. Let i = -1910\/87 - -39853\/1044. Let t = i + l. Find the common denominator of t and 20\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 328*z + 3. Let u(t) = 1642*t + 14. Calculate 14*n(a) - 3*u(a).\nAnswer: -334*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 4*u**4 + 4*u**4 + 2*u**4 + 2*u**4 - 5*u**4 + (0 + 0 - 2*u)*(u - u**3 - u) - 3*u**4 + 2*u**4 + 3*u**4)*(3 - 3 - 2*u)*(-2 - 1 + 4).\nAnswer: -20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - 5.6. Let v = 41 - 58. Let l = o - v. Which is smaller: -0.3 or l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpppphhhhhhhhphphhp. What is prob of sequence hhhh?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 36. Determine o(25).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (80 + -113) - (65 + 3)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25585\/2499)\/((-49)\/(-140) - (-2)\/(-6)). Which is smaller: 613 or i?\nAnswer: 613","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478214 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 - -3*(14 + -10) - -3. Solve 0*d = -2*u - 3*d, f = u + 4*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - 0.25. Suppose -2*m = m. Which is the nearest to m? (a) s (b) 2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 551736 * 2623\nAnswer: 1447203528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 79, 154, 215, 256, 271, 254?\n\"Answer: -m**3 - m**2 + 85*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.2 in 0.8, -125, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-9*c**4 + 7*c**4 + 18*c**4) + (-3*c + 3*c - 3*c)*(c**3 - 3*c**3 + c**3) as q*c + b + l*c**2 + d*c**4 + s*c**3 and give d.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 987487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11883, -47400, -106631, -189606, -296355, -426908, -581295?\nAnswer: -759546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 + 16\/(4080\/(-525)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4745 is divided by 250.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203748*p**2 + 335864*p wrt p.\nAnswer: 407496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402051.\nAnswer: 7, 200293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 16. What is u(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2397069*a*c**4 - a*c**2 + 93590*a - 13 wrt c?\nAnswer: -9588276*a*c**3 - 2*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 11*d + 32 = 28, 5*d - 2 = 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*p - 5, y - 5*p + 19 = -11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 13. Suppose -3*c = 2*c - i. Solve c*a + 0*a - 15 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 0, 7, 2, -673, -3 in descending order.\nAnswer: 7, 2, 0, -3, -84, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/580 - (35\/2 - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6120*i**4 + 28195*i**3 - 477989472*i**2.\nAnswer: -146880*i + 169170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 41*d + 10. Let f(h) = -h**2 + 7*h - 2. Let v be f(6). What is the remainder when j(v) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 + (-5 + 24 + -11 - 2) + -41.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/2 - 3*x**2\/2 - 10*x + 3. Give c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2\/11, -1, 68, 1\/12?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139.74 - -0.26. Let x = z - 139. Which is the second biggest value? (a) -2 (b) -1 (c) -1\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3 - 6428*h**2 - 19312*h - 12880 = 0.\nAnswer: -2, -1, 1610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frfdvfvfvrdrxvgrdr. What is prob of picking 2 r and 2 v?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3994129*i**3*o - 301446*i**3 - 137*i - 6*o - 2 wrt o?\nAnswer: -3994129*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/9 - -3 - (-87)\/(-9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4244227 to the nearest ten thousand.\nAnswer: 4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1, 876, -4, -14.\nAnswer: -14, -4, -1, 10, 876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064988, -1065048, -1065146, -1065282, -1065456?\nAnswer: -1065668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1*(-3 + sqrt(176) - sqrt(176)))**2*2.\nAnswer: 48*sqrt(11) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 45 - -40) + -4 + -33.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/1*((-3040)\/24)\/(-10). Let z(a) = -2*a + 4. Let t be z(3). What is the tens digit of n\/(-15) - t\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d + 11. Let x(w) = 3*w - 4. Let l(q) = -4*u(q) - 11*x(q). Let j = 3 - -2. Let g(z) = 6*z - j*z + z. Give l(g(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 468 + -118. Does 50 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*x = x - 96, m + 4*x = 38. Let p be m\/(-4) - (-4)\/8. Let d = p - -50. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -530250 (base 12) in base 10?\nAnswer: -1306716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78.7496 - -0.5.\nAnswer: -78.2496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (0 + 2 - (8 - (-11 + -4 + 83)))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23137 - -38918. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d - 64 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315923 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.6 - 52. Let c = 23.7075 - g. Let b = c + 0.9. Round b to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 962094 * -1.4\nAnswer: -1346931.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -63721 divided by 11?\nAnswer: -63721\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.36512 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -34*j - 16. Let q be (-2)\/7 + 525\/(-49). Let r(i) = -7*i - 3. Let y(o) = q*r(o) + 2*p(o). Let v be 1\/(4\/12) - 4. Give y(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + (12 - -10) + -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 7*u + 6. Suppose -4 = 3*o + 5. Let p be (-13)\/o + (-13)\/39. What is z(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 5, p: 12, x: 2}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 3390.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t + 72*t = 9760820. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + (-15)\/(-2). Let f = 14 - v. Suppose n - 7 = f. Calculate the highest common factor of 70 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1973*f + 3943. Give k(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960) - (sqrt(960) + (sqrt(960) - (sqrt(960) - sqrt(960)*3))))\/((sqrt(36)*4 - sqrt(36))\/sqrt(3)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.65 - -2.05. Let y = 96.2 - 93.2. Which is the nearest to 0? (a) g (b) y (c) -0.5 (d) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((5 - 96\/8) + 6)\/((-3)\/429). What is the greatest common factor of d and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33407911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18839022 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*u - 8*u + 8*u + 3*u**4 - 9*u**3 - 36 wrt u.\nAnswer: 12*u**3 - 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - -44) + (4 - (0 + 26))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 644000 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158*n - 4 + 6*n**3 + 152*n - 2*n**2 - 2*n**4 + 5 + 3.\nAnswer: -2*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from {c: 11, o: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352833 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4281 or -21398\/5?\nAnswer: -4281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + (sqrt(847) + 0 - (0 + sqrt(7) + -5)))**2.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23 - 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1614661 + 6*r - 1614661.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(36)*3)\/sqrt(4) + sqrt(45)\/(sqrt(5)*1))\/((sqrt(192) + sqrt(192)*-6 + sqrt(192))*-5))**2.\nAnswer: 3\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 336, 112, -212, -684, -1352, -2264, -3468, -5012?\n\"Answer: -8*l**3 - 2*l**2 - 162*l + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*w + 14, 0*w + w - 15 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1919 divided by 340784.\nAnswer: -101\/17936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8676309, 8676288, 8676251, 8676192, 8676105, 8675984, 8675823, 8675616?\nAnswer: 8675357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3, 38212, 5, -3\/2, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 9. Let t = -1 - o. Let y = -0.3 - -0.2. Which is the third smallest value? (a) t (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -608*t - 8535. Determine w(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 4887 = 4055 - 416. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, m: 1, w: 2, z: 2, j: 3}. Give prob of picking 1 w, 1 j, and 1 z.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-2)\/8)\/(((-4503)\/(-1596))\/(-79))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 71, 191, 421, 797, 1355?\n\"Answer: 6*y**3 + y**2 + y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19731, 39462, 59193, 78924, 98655?\n\"Answer: 19731*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 17)*(0 + 2 - 3)*(q + 34*q**2 + 5*q**3 - 64*q**2 + 28*q**2 + (2*q + 0*q + 0*q)*(1 + 2*q**2 - 1)).\nAnswer: 162*q**3 - 36*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 253, 397, 565, 757, 973, 1213?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10383*o - 10383*o - 3*o**3 + 4*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 e when two letters picked without replacement from kkeekkkkokeckkeko.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1003452, 1003454, 1003456, 1003458?\n\"Answer: 2*s + 1003450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8267263 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + m = -13, 4*m + 10 = 2*p. Suppose -t - p = -1. Suppose -4 = -0*y + 4*y. Does t = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226 or 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vldllllwllgllflll. What is prob of picking 1 g and 1 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 t when four letters picked without replacement from vqtqqbvbbvbvqtqbvbb.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 245*f - 12099. Calculate v(-86).\nAnswer: 1575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 24*w - 27. Let y be v(-6). Let h(p) = 2*p**2 - 6*p - 93. Let t be h(y). Solve 26*a = 29*a - t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 15*d - 11*d. Which is greater: 0.09 or d?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3873*q**2 + 2*q - 3870*q**2 - 2*q + 7739*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2862, -2904, -2954, -3012?\n\"Answer: -4*s**2 - 30*s - 2828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Suppose 2*a + 5*g - 32 = 0, -3*g = -5*a - c*g + 80. Let y = a + -17. Is -12 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 5, -159, 269 in descending order.\nAnswer: 269, 73, 5, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1140\/(-110) + 10 - (-164)\/330?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 21. Solve 2*i + 8 = p*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8395 divided by 82.\nAnswer: 8395\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 353520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521 = 58*o - 291. Solve 0 = -b + 4*z + o, 2*b + 3 = -b - 3*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*t**4 + 3*t**2 + 35*t**4 + 40*t**4)*(-3 + 3 - 2*t) - 3 - 2*t**5 + 3.\nAnswer: 18*t**5 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_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: Which is the nearest to 6143.1? (a) -1\/28 (b) 5 (c) 3\/4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d - 7. Let s be a(-6). Let z = s + -3. Suppose -z*j + 16 - 4 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 23?\nAnswer: -14\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/77*-7)\/((-2)\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + h + 1. Let x(c) = -20*c**2 - 2*c - 2. Suppose 4830 = 7*q + 4816. Calculate q*r(v) + x(v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14627403 is divided by 4554.\nAnswer: 4509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68\/4 + 3\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 260. Let a = -170 + y. Put -8, -9, a in descending order.\nAnswer: a, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4288478 weeks to nanoseconds.\nAnswer: 259367149440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a*i**2 + 5*a*i - 11512*a + 192*i**2 wrt i?\nAnswer: 8*a*i + 5*a + 384*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-8) - (23 - 22). Which is the second smallest value? (a) 0.3 (b) v (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4468 - -44753. What are the prime factors of k?\nAnswer: 5, 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 9.6. Let v = -142045 + 142046.39991. Let l = v - f. What is l rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/6 - 2273*p\/6 - 94129 = 0 for p.\nAnswer: -226, 2499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*((sqrt(1584)*2 - sqrt(1584)) + 1 - -3*(sqrt(1584) - (sqrt(1584) - sqrt(1584)*1)))*-5)**2.\nAnswer: 4800*sqrt(11) + 633700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1571284 divided by -1066\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175637 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 - 89 + 4*f + 175 + 9*f + 145*f**2 - 11*f.\nAnswer: 145*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268756*g - 268756*g - 5*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2983\nAnswer: -2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -0.5 (b) 59 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 71*f**2 + 1076*f - 450. Determine t(-15).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 9. Suppose -4*r = -4*w - 4, -3*r - c = -5*w + 2. Suppose 3*m + 4*x = -x, r*m - 28 = x. Solve s - 4 = m*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/57? (a) -4 (b) 212 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - ((65 - 29) + -20)) + -4.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rra when three letters picked without replacement from rxoroaiiaiiraiia?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s + 152. Let p(k) = 37*k + 610. Give 9*g(n) - 2*p(n).\nAnswer: 7*n + 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 1, v: 6, t: 7}. Give prob of picking 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnniiniiin. Give prob of picking 2 i.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -33*b + 111. Let n(j) = -17*j + 56. Determine 2*h(s) - 5*n(s).\nAnswer: 19*s - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1593 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/15*15*(-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 17. Let p(n) = 10 + 3*n**2 - 2*n**r - 1. Let w be p(6). What is the greatest common factor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + 0 + sqrt(891))**2*-3 + -2 + sqrt(1100)*4.\nAnswer: -10694 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/180582193 and 42\/55?\nAnswer: 902910965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11536134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -1. Let d = c + 23. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i + 92. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9\/m*(m*m*m*m**(-4\/17)*m*m)\/m*m**(-2\/7)\/(m\/(m**(-20)\/m)) assuming m is positive.\nAnswer: m**(-1252\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 1, s: 5, g: 1, z: 2}. What is prob of picking 1 z and 1 g?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -72*-5*5\/10. Suppose 0 = 10*y - 9*y - j. Does 36 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152, -304, -456, -608, -760, -912?\nAnswer: -1064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 + 2*i**2 + 4*i**2 - i**2 + 3*i**2 + 0*i**2 + (2*i + 4*i - 5*i)*(2*i + 1 - 1) + i**2 + 3*i - 3*i + (-5 + 5 - 7*i)*(-2*i + 2 - 2).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -397*a - 400*a - 21 + 800*a. Let c be z(7). Suppose 16 = -0*g + 4*g. Solve -g*q + 6*q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/29 (b) -7 (c) 0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 2*z**4 + 26*z + 4*z**4 - 23*z as k + a*z**4 + r*z**2 + b*z**3 + f*z and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -56187586*d*g**3 - d*g**2 + 134039589*g**3 wrt d.\nAnswer: -56187586*g**3 - g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117242 - 82539. Let j = y - 34767.942. Let x = j - -65. Round x to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-360)*12*3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -9*n**4\/4 - n**3 - 7*n**2\/2 - 8*n - 42. Calculate the least common multiple of 66 and g(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - -3. Suppose -57 + o = -5*i + 5*q, -2*i - 4*q + 44 = 0. Let n = 15 - i. Solve 0 = -c + 3*w - 9, 6*w - 2*w = -n*c + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 91*b**3 - b. Let i be n(-1). Suppose 2*p - 4*h - 4 = 0, 18 = p + 3*p + 2*h. What is the remainder when i\/(-14) + 27\/(-63) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/4 + 4. Let m = y + -2. Differentiate 2*t - t - 4 + m with respect to t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.1, -0.3, 1\/45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3 = 5*m, -4*m = -2*s - 3 + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6 = 2*n, -p + n = -0*n - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1704 + 1704.5. What is the closest to -2 in -1\/6, g, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 - i - 1. Let y(v) = -1457*v**2 + 7*v + 3. Calculate 5*p(x) + y(x).\nAnswer: -1467*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027844517534 rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2116100 (base 7) to base 6.\nAnswer: -5300005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2909187 rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315935568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let n(h) = h**2 + 15*h + 50. Let y be n(-5). Which is the fourth smallest value? (a) z (b) y (c) -5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 2595.\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 bigger than -0.608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 260628060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 128 and -2.11?\nAnswer: -270.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109 = -7*d + 1130. Solve -5 = -8*q + d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*x + 3 = -74*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d + 2*d - 8*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110211 + 2?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -225173?\nAnswer: -225175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-38 - (-25 - 17)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/29, -5, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 + 69 + 0 + -1 + -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157729681?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -177?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 11:13 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*8*((-126)\/(-24) - 2). Suppose 10*b - f + 6 = 0. Suppose -4*x - m = -5*x + 1, -3*x + b*m = -6. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 51728540*v**3 = 0. What is v?\nAnswer: -12932135, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*0\/((-25)\/(-5)). Sort 3, -5, z, -12 in ascending order.\nAnswer: -12, -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-520 + 520 + 112*p)*(-1 - 5*p + 4 + 9*p) + (0*p + p + p)*(p - 4*p + 0*p) to the form r*p**2 + f*p + y and give r.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(105) + sqrt(105)*-2 + sqrt(105))\/sqrt(7))\/sqrt(5) - (3 + sqrt(675)))**2.\nAnswer: 90*sqrt(3) + 689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**0)*b*b\/((b*b**5)\/b)*b*b*b**(-3)*b**(-4))**30 assuming b is positive.\nAnswer: b**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2) + (-4)\/(-2). Suppose -v*y + 80 = 26. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67487*q**5 + 829*q + 31?\nAnswer: 1349740*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 4*p. Let x be n(-5). Let i be -1 - (18\/x + 2). Let w be (-12)\/(-5) - (-4)\/(-10). Is w > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 367, 4\/21, -3, 0.\nAnswer: -3, 0, 4\/21, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4546016 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638 + 1469. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961420.\nAnswer: 2, 5, 53, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -820 by -41.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - i = -2 - 5, 6 = 2*i. Let f be (12\/8)\/((-1)\/(-2)). Suppose 10 = -f*p + 16. Sort p, 4, k.\nAnswer: k, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 5) + 4 + 3 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1140 and 3876?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2\/9*i**4 - 2\/3*i**5 + 10\/9*i**3 - 2\/9*i**2 - 4\/9*i + 0 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5, -30, -127, -292, -531, -850, -1255, -1752?\n\"Answer: -d**3 - 25*d**2 + 47*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 0.02 (c) -0.1 (d) 756 (e) -0.2 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-3 - 20\/(-5)). Suppose -g - 4*o = o - 20, -5*g + 34 = w*o. Suppose -g*m = -4*m + 16. Which is bigger: -17 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 4 = -20*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 1, c: 1, t: 3, j: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/6, 2\/3, -98\/25?\nAnswer: -98\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(36))\/(sqrt(8) - (sqrt(8) + sqrt(40)\/sqrt(5))*6).\nAnswer: -sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.82755 + 35633.08.\nAnswer: 35639.90755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 337 + 158 - 2*f + 179.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1000)*3)\/(-2*3*sqrt(720)).\nAnswer: -5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 11*s**8\/28 + s**5\/6 + s**3\/2 + 2*s**2 + 4. What is the third derivative of k(f) wrt f?\nAnswer: 7920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/16 (b) 4 (c) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 98547240982 and 0.2.\nAnswer: 98547240982.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1867, -1\/9, 0.015?\nAnswer: 1867","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = x - 90. What is the greatest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 135 = -3*d - 40, -4*d - p = -125. Suppose d = 3*o - 44. Suppose k = -2*m - 8, 5*k + 0*m = 3*m + o. Solve 0 = -6*f + k*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 10. Let v(f) = 2*f + 9. Suppose 2*w = 24 - 4, -3*n = 2*w - 38. Let g(p) = p**3 - 6*p**2 - 2*p + 7. Let b be g(6). What is b*r(d) + n*v(d)?\nAnswer: -3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -164*q + 159*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14010210 divided by -3.\nAnswer: -4670070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3380 - -3382. Let m(y) = 8*y - 21. Let w(g) = -2*g + 5. What is b*m(o) + 9*w(o)?\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from {e: 3, p: 15}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + (-1*sqrt(720)*4 - (-1 + sqrt(5) + sqrt(80))*1))**2.\nAnswer: -212*sqrt(5) + 14049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**12*u**3 assuming u is positive.\nAnswer: u**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 2*m + 1. Let l be f(4). Let a be (6450004 - 4)*2*(-21)\/l. Round a to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/8)\/(6\/16). Suppose -549 = -s*w - w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -628, -0.0297, 0.3 in descending order.\nAnswer: 0.3, -0.0297, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z. Let l(p) = p + 0 - 600*p - 164*p + 2 - 4. Give l(o(t)).\nAnswer: -1526*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540*v - 851 + 3011 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.7 and 0.2.\nAnswer: -7.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3626.\nAnswer: -3623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869 is divided by 79?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112*f**3*o**3 + 1443*f**3 + f*o**4 wrt o?\nAnswer: 336*f**3*o**2 + 4*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -602, -1366, -2456, -3884, -5662, -7802, -10316?\nAnswer: -13216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-10)*(-4)\/(-36)*206\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2570567 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -1, -5, -3\/2398, 0, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, y: 3, b: 1, h: 1}. What is prob of picking 1 f and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(2 - 4 - -3). Let q be w*-1*(-28)\/12. Which is smaller: 1\/3 or q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from {f: 2, t: 8, b: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 16*z - 14. Give o(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 12*w + 2. Let g be f(0). Suppose 2*j - s - 2 = 0, 10 - g = 5*j - 4*s. Solve 4*r - r = j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061*n + 4*n**3 - 3*n**3 + 2248*n.\nAnswer: n**3 + 187*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 613 - 611. What is the nearest to -1\/3 in x, 0.2, 116, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/245 + -101\/735. Let t = q + 1\/3. Is -0.1 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(3993))\/(2*sqrt(3)*-3) + (-3 + (sqrt(11) - (sqrt(176))**2) + (sqrt(11) - (sqrt(44)\/sqrt(4) + 4)) - (sqrt(704) + 1 + 0)**2).\nAnswer: -888 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, t: 9}. Give prob of sequence tttp.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -7*k + 4*k + 16, -5*k - 4*m + 5 = 0. Suppose 4*q + 170 = -2*u, q - 4*u = -40 - 25. Let g be 4\/6 - (-228)\/q. Is k equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*l + 166*l - 182 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293172.\nAnswer: 2, 3, 11, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 11*x - 6. Let o be k(-11). Let i be o\/2 + 1 - -4. Put -2\/3, -4\/7, i in decreasing order.\nAnswer: i, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 7. Let j be 174\/(-4)*(-8)\/12. Suppose -3*u + 52 = -5*t, 4*t = u - 0 - j. Calculate the lowest common multiple of u and x(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(1300) + -4)**2 + ((sqrt(1573) - (-2*(sqrt(1573) + 0) - sqrt(1573))) + -2)**2.\nAnswer: -296*sqrt(13) + 26508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 11*o + 11. Let l(n) = n**2 + 10*n + 10. Let w(x) = -5*l(x) + 4*u(x). Let p be (2 - 0 - 3)*(-1 - -6). What is w(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 - 14215651?\nAnswer: -14215424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13374817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1873a6b (base 12) to base 7.\nAnswer: -61406615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-8))\/(6\/(-16)). Suppose 2*d + 33 = 5. Let n = d - -12. Which is the second smallest value? (a) n (b) s (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 9 + 13 = 4. Solve s = 4*q - 16, -3*q + 24 = -85*b + 89*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q + 11*q - 14*q**2)*((2 - 1 - 2)*(-3*q + q + 0*q) + 0*q - q + 2*q).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 2*s + 396. Suppose -8*v + 5*v = v. What is the units digit of h(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*b, b + 3 = v - 12. Suppose o - 4*d = -o + v, -10 = -2*d. Suppose 0 = 2*a + 3*a - o. Solve -r = a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 4*w**2 + 10*w + 6. Let d be b(-2). Is 6 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, 34, 215, 570, 1165?\nAnswer: 2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 3*a**2 + 3*a - 4. Suppose 2 - 67 = -5*m. Suppose -4*v - 25 = -m. Let l be i(v). Solve 0 = -r - 2*r + t + 8, 4*r - l = -2*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, i: 7, y: 3, v: 1, c: 2}. Give prob of picking 1 c and 2 y.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 64. Let r(b) be the third derivative of b**5\/15 - b**4\/12 - 5*b**3\/6 - 7*b**2. Is r(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240184?\nAnswer: 2, 7, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 k when two letters picked without replacement from {k: 1, n: 1, u: 5, w: 2, g: 5, y: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.933 + -9.233. What is the fourth smallest value in a, 28, -0.5, 2\/11?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/7 + (-10)\/(-35). Let t(w) = w**2 + 2. Let j(p) = p**2 + 3. Suppose -21 = 3*c + 4*c. Calculate c*t(y) + f*j(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7bc + -4?\nAnswer: 7b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 - 9*h**3 - 2*h**3.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -66192*j. Let g(r) = 4*r**2. Calculate g(f(i)).\nAnswer: 17525523456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-41)*v*v)\/(v**(-7\/8)*v) assuming v is positive.\nAnswer: v**(-313\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1672)\/(-220) + -10)*5\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 2, h: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z - 2. Let w(k) = 11*k - 4. Let p(u) = -3*w(u) + 7*y(u). Suppose 0 = -m + 5 - 1. What is the remainder when p(m) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15 - 5 = 0. Let q = 1 + n. What is the highest common divisor of 12 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (2 - -107) - -8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -278*i**3 + 7*i**2 - 16*i + 9. Let x be v(2). Let q = -959 - x. Does 70 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 16*z**2 - 191*z - 6. Calculate o(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 0.1, -0.1 in increasing order.\nAnswer: -9, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/(-4*(-3)\/(-30)). Let r be ((-2)\/(-6))\/((-26)\/12). Which is the smallest value? (a) r (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5466*n - 82121. Give p(15).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(-2*n**4 - 2*n**4 + 3*n**4) + n**5 + 2*n**5 + 0*n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-156))\/(10\/15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-14)*154\/99.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 6, -1818, -1, -6 in ascending order.\nAnswer: -1818, -8, -6, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-72)\/(-30))*(-2)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102001012 (base 3) in base 13?\nAnswer: 18776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119.324661 + 4.324056. Let i = -115 - y. What is i rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 694360*a**2 + 56210355*a.\nAnswer: 5*a*(a - 138791)*(a - 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 1}. Give prob of picking 1 x and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315\/4, -5, -1, 1\/4 in decreasing order.\nAnswer: 1\/4, -1, -5, -315\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/42 - 283\/154 - (-10 - -8). Is 1 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 3. Let m = -2 - h. Let x = m - -25. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snv when three letters picked without replacement from nvvsavannasnnnvnn?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -220. Suppose -3*u = g*u + 5, -4*u - 4 = -5*v. Solve -5*d - 5 = -v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/22)\/(1\/2). Let i be 2*(-1)\/(-106)*-2. Let a = -63\/265 - i. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1430683744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let a(f) = -4879684*f + 42. Give l(a(c)).\nAnswer: 9759368*c - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*b**4 + 2*b - 2*b - 1015*b**3 + 0*b**2 - 2 - 4*b**2 + 1017*b**3 in the form o*b + a*b**3 + k*b**2 + j + q*b**4 and give q.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1906.583 + 1904. Let h = p + 2.6. Let l = 0.048 - h. Round l to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.088 + -0.088. Which is the second biggest value? (a) -3 (b) x (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 6. Let z = -2531.5 + 2531. What is the closest to 1 in u, z, -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84 + -133. Let v = q - -51. Is v\/(-8)*((-1 - -3) + -94) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 141\/2*72\/(-27). Let k be -3 + (v\/8)\/((-5)\/100). Suppose -n = -m - 684, 3*m - k = 2*n - 1830. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -131657?\nAnswer: -2\/131657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxdh when four letters picked without replacement from htvggggxgggxgddx?\nAnswer: 1\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 162680.38 to the nearest 100.\nAnswer: 162700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.42 + 20.\nAnswer: 20.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -913\/203 or -3?\nAnswer: -913\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 3\/2, 681, -56, -0.4 in increasing order.\nAnswer: -56, -0.4, 0.03, 3\/2, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00113808 rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggww when four letters picked without replacement from {g: 3, w: 2, v: 10}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 0*o + o**2 + (-3 - 3 + 5)*(2 - 2 + 3*o**2) - o**2 - 11833 + 6774 + 6232 to the form h*o + f + k*o**2 and give f.\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 79*w - 6241\/2.\nAnswer: -(w + 79)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 5*o - 2. Let l(s) = 6*s**2 + 6*s - 3. Calculate 4*i(w) - 3*l(w).\nAnswer: 2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106.57 - 107. Let u = -0.43000015 - y. Round u to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.082 - 66.\nAnswer: -67.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 8.\nAnswer: -7, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1282063*j + 1282059. Determine d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 16686059.\nAnswer: 66744236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Let c be 77\/(-63) + g\/9 - -3. Suppose 0 = -2*q - 0*q - 5*m - 12, 4 = -q - c*m. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) 4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 5. What is c(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 6*p**2 + 121*p + 371. Determine f(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8781 is divided by 157?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fzz when three letters picked without replacement from zfz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2562 - 7685\/3. Which is the closest to 0.1? (a) 15 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f - 164 = -2*t, 0 = -f - 2*t + 44. Let d be (-8 - 0\/3) + 3. Let h be 2\/d*f\/56. Which is the nearest to -1? (a) -3 (b) 2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387141?\nAnswer: 3, 17, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -97. Suppose 0 = v*n + 5*j - 28, 16 = 4*j - 0*j. Find p such that 0 + 0*p + 1\/3*p**2 + 5\/3*p**3 + p**5 + 7\/3*p**n = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3*(-16)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**5 - 1288*d**4 + 101064*d**3 + 423776*d**2 + 114100*d - 637656 = 0.\nAnswer: -3, -2, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + 0*c)*(0 - c + 0 + (1 - 1 + 1)*(2*c + 4 - 4) + 2*c - c - 3*c)*(-22*c + 22*c + 30*c**3) - 4*c**5 + 6*c**5 - c**5.\nAnswer: 61*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m**2 + 5*m - 4. Let l(i) = i**2 - 16*i**2 + i**3 + 21*i - 12*i - 14 + 24*i. Calculate the remainder when l(13) is divided by a(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*((a\/a**(-6\/17))\/a*a)\/a*a*a)**29\/(a*a**(-1\/21)*a)**48 assuming a is positive.\nAnswer: a**(419\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a83 (base 14) in base 12?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 2. Suppose -b - 2*a - 2 = 0, -2*a = 4*b + 4 + 4. Calculate v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50388208 is divided by 141.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -0.8590655749?\nAnswer: -1.0590655749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 + 3*x + 39. Let a(r) = -2*r**2 - 90*r - 92. Let z be a(-44). Determine f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = -6. Let s = 5 - b. Calculate the smallest common multiple of s and (-23)\/(-3) + 3 - 2\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 13*k + 33*k - 4*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 34 = -2. Suppose a = 5*h + 2*i - 13, 5*h = -i + 18. Let w = 5 + -1. Solve 0 = w*u + 3*d - h + 5, -2*d = -4*u - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.278933605357+-2\nAnswer: -1.721066394643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 77.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 1\/12*z**4 - 1\/3*z - 1\/3*z**3 + 2 + 1\/2*z**2. Let j(r) = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 - 5.23. Let o be (8\/6)\/(-2) + 0. Which is the smallest value? (a) 2 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5151003 + 142?\nAnswer: 5151145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1855)\/(-2226) - (-3)\/(-9). Let p(o) be the third derivative of -z*o**4 + 3*o**3 + 1\/40*o**5 + 0*o + 0 + o**2. Find y, given that p(y) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q - 2*q**3 - 5*q - 2 + 3*q - q in the form p*q**2 + g*q + f + o*q**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**2 + 2*a**3 + 10 + 4 - 5 + a - 4 to t*a + l*a**3 + n*a**2 + x and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*o + 10, -58*o + 108*o + 17*p - 70 = 45*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.64544 to 1 decimal place.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 4:37 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*s = -10, -5*k + s + 2 = -6. Suppose -3*g = -r + 73, 75 = r - 0*g - k*g. Suppose r + 421 = 4*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6))\/((-1)\/6). Suppose 2*z - 5*w - 2 = 0, 3*z + d*w - 14 = -53. Calculate the remainder when (4\/(-3))\/(6\/z) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x**2 - 5*x**2 + 13*x**2 - 12*x**3 - 5*x**2 + 4*x**3.\nAnswer: -8*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 6*b + 8. Does 3 divide a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 15*k = 18*k - 23, -2*t - 9 = 5*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k - 67 + 34 - 5*k - 13*k + 1.\nAnswer: 2*k - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/15 + (-23604)\/(-180) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3719 - 3706 = 13*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-3) + (-25704)\/(-81)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (11 - 20) + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14093 * -154.\nAnswer: 2170322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*q + 19584 = -177*q for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -123, 6, -1\/3, -10244?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 6*g**2 - 14*g - 27. Is p(-10) a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195363001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 4, l: 1}. Give prob of sequence anna.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 785*b + 12319. Give p(-18).\nAnswer: -1811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -129*s**3 - 25*s**2 + 3*s - 979. Let i(n) = 196*n**3 + 40*n**2 - 4*n + 1469. Let a(v) = -5*i(v) - 8*k(v). Find the first derivative of a(l) wrt l.\nAnswer: 156*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59847 (base 12) to base 11.\nAnswer: -82540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 43 = -5*z + 4*z, 20 = 2*w - 2*z. What is the second derivative of 5*x + 0*x - w*x + 15*x**3 wrt x?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - 22*j + 63 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/230 and 49\/253.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 - 113 = -11*k. Which is the closest to 1? (a) k (b) -2\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28\/(-56) + (-9)\/(-2). Suppose f + 3*q + 84 = r*f, -q = -4. What is the remainder when 95 is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11525, 23039, 34533, 46001, 57437, 68835, 80189, 91493?\nAnswer: 102741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 123. Let p(s) = 12769 + c*s - 12769. Let h(k) = -3*k**2. Give p(h(a)).\nAnswer: -330*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(-5\/9)\/x)\/x*x*x*x*x*(x*x**(-2))\/x)\/((x**30*x)\/x*x**(-7\/3)\/x))**33 assuming x is positive.\nAnswer: x**(-2497\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*f - 2*y - 4, -4*y = -12. Let u = f - -3. Solve -u*i + 3*p = 19, 5*p - 4*p = 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 15312*u + 3255282.\nAnswer: -2*(u - 207)*(u + 7863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -436\/111609?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101000001101010 (base 2) in base 12?\nAnswer: 1326b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131 - -165. What is the remainder when g is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 96152912.\nAnswer: 96152912.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**2. Let v(l) = 3*l - 2. Let f(n) be the first derivative of -7*n**2\/2 + 5*n - 3. Let p(m) = -2*f(m) - 5*v(m). What is r(p(a))?\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/68 - 1)*1. Let s be 4 - (4 + 0\/(-1) + -4). Which is the second smallest value? (a) -2\/9 (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23\/1673517 - -15632276849\/3306869592. Let c = n - 90\/19. What is the common denominator of -57\/28 and c?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -855, -1941, -3481, -5487, -7971?\nAnswer: -10945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/55)\/(3\/(-15)). Let w be (-85)\/(-714)*-33 - (6 + -10). Sort w, a, 1 in ascending order.\nAnswer: w, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1055*r + 52 - 51 + 72*r to f*r + g and give f.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 6 = z - q, -3*z = 5*q + 58. Is 25 a factor of -250*((-145)\/110 + 2\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87334*g**2 + 1499*g + 8.\nAnswer: -174668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 4, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 3*b**2 + 9*b + 4. Let z(q) = q**3 - 5*q**2 + 10*q + 4. Suppose 1 = -y - 0*m + 5*m, -y + 4*m = 0. Let l(o) = y*z(o) - 5*p(o). What is l(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (-698325)\/469125*-45\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 + 0*m**4 - 2*m**2 + 2*m**3 - 4*m**3 to i + a*m**2 + l*m**4 + h*m**3 + t*m and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1306496 and 9\/28.\nAnswer: 9145472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/5*135\/(-2). Suppose -5*t + n = 2*o, -4*t - 5*o + 42 = -4*o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/23 - 1806*h\/23 - 1360 = 0. What is h?\nAnswer: -17, 920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k**2 + 10*k**2 - k + 5*k - 4*k.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 5*x - 4. Let z be f(-6). Solve -d = -z*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, r: 9, b: 1, u: 4}. What is prob of sequence sbu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 16. Let q = y - -7.2. What is q rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upfufpufuffuufufuu. What is prob of sequence pufu?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 79452 = -81412 for g.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/115 and -113\/18220.\nAnswer: 419060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvh when three letters picked without replacement from gugvhu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.738101 rounded to two decimal places?\nAnswer: 0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178706319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/84*2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = -3. Let z = y + 30. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*x + 2*r - 24, 2*x + 4*r + 12 = 0. Let s(u) = -61*u - 49. List the prime factors of s(x).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*h + 78707 = 0, -15*v - 4*h + 78691 = -12*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 243168044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (8 - 271\/21).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 17*d = -9*d + 263 - 226, 2*a + 4*d + 26 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v + 11. Let y be s(-8). Let t(h) = -h + 15. Let m be t(y). Find g, given that -g**4 - 6*g**3 + 8*g + g**4 + 2*g**m = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1362 - 1367 - (2 - -48)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.1591 litres to millilitres.\nAnswer: 118159.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 5)*(698*n**2 - 1805*n**2 - 2509*n**2) to the form d + g*n + y*n**2 and give y.\nAnswer: 21696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-88)\/(-176))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 6, -8*i - 102288 = -3*n - 12*i. What is the ten thousands digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from {n: 1, s: 1, t: 1, m: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3)*(-9 - -3). Suppose t*y + 6 = 22. Let x(z) = z + 4. Let s be x(-1). Solve -y*v - s = -5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 28 - 4 = 0. Let v be ((-12)\/(-9))\/(s\/(-12) + -1). Let u(q) = q**3 + 6*q**2 + 7*q - 4. Determine u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0091 - 0.1091. What is the biggest value in 12, p, 1.3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.3. Suppose -u = -6*s + 10*s - 21, -u + 5*s - 6 = 0. Suppose 0 = u*k + 7*k + 80. Which is the biggest value? (a) 3\/4 (b) k (c) v (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Suppose -5*t = -o - 13, -4*o + 82 = -6*t + 106. What is the remainder when 3\/(2\/(0 - i)) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*q**4 - 42542604*q**3 - 151266084*q**2 + 73531968*q - 8403648 = 0 for q.\nAnswer: -4, 2\/9, 175076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39420130.290999562 - -39420130. Let l = d - -0.291. Round l to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701297 is divided by 1193.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**2 - 4*m - 3*m**3 - 6*m**2 - 7*m**2 + 4*m**3 - 4. Suppose 3*f + 1 + 11 = 0. Let d(s) = -4*s**3 + 3*s**2 + 11*s + 11. Determine f*d(b) - 11*p(b).\nAnswer: 5*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) 1 (c) 6\/5 (d) 1\/8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 63 = 9*b. Let w be (-5)\/2*(-40)\/50. Let q(j) = -j**b + 106*j**w - 55*j**2 + 4 - 56*j**2 + 8*j. Determine q(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7315662 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102277 divided by -738.\nAnswer: -102277\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -76, -2, -18.\nAnswer: -76, -18, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/4439 or 0?\nAnswer: 4\/4439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 14\/(-10))\/(402\/(-1809670)) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(99) + sqrt(11)))**2*-5.\nAnswer: -880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 85337140.\nAnswer: 85337140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -219, -443, -667, -891, -1115?\n\"Answer: -224*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(17) + 0)**2 - (0 + -1*sqrt(17))**2).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8713 + -128713. What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.15 - 3.14. What is the fourth biggest value in 3, 0.2, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w - 14*w + 9 + 6*w to the form a*w + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104217 or -0.29?\nAnswer: 104217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -1\/6*r**3 + 583\/60*r**6 - 2*r**2 + 0*r**5 + 3\/8*r**4 + 0*r + 0. Let z be w(7). Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17824101 (base 9) to base 8.\nAnswer: 42231520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 98?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 6. Let b be 3\/m + (-15)\/(-4) + -2. Solve 5*l - 17 = -b*y, 3*y - 21 = -5*l - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -33. Let j = -11 - q. What is the smallest common multiple of 0 - -2 - 4\/(-2) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123986402 - -584187\nAnswer: 124570589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11026742?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**4\/12 + s**3\/6 + 25*s**2\/2 - s. Let c = 16 - 7. What is the remainder when d(0) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {u: 4, d: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**4 - 3*v**2 - 3. Let l(n) = 12*n**3 + 17*n. Let p be (-14 - (-533)\/39)*51\/(-1). Calculate p*b(s) + 6*l(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:01 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -12. Let q = -0.2 + 5.2. Let s = q - i. What is the biggest value in 1\/5, -5, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577583351?\nAnswer: 31, 18631721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 29*l**3 - l**2 + 4*l - 2. Let k be o(1). What is the greatest common divisor of k and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 483, 486, 489, 492, 495, 498?\n\"Answer: 3*w + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 33. Let v = t - 17. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 18.986. Let j = 0.016 + p. Let s = j + -3.002. Which is the third smallest value? (a) -8 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 50, -256, -730, -1366, -2158?\n\"Answer: m**3 - 90*m**2 - 43*m + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 + 185 = 21*r. Calculate the remainder when 160 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 8 + 4*r - 3*r. Let w be x(6). Calculate the greatest common factor of 10 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*y - 582, 3*q - 16*y - 449 = -12*y. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -49*o + 2. Let a(m) = -49*m + 2. Give 4*a(c) - 3*q(c).\nAnswer: -49*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n + 8. Suppose 261 - 229 = 4*m. Let o(g) = -4*g + 3. Determine m*o(z) - 3*j(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*8*2. Suppose 8*z = 4*z + 432. Suppose -z = -k*t + 4*t. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 7*x**2 + 10*x + 10. Give y(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmmppm. What is prob of picking 3 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274980369.\nAnswer: 13, 31, 3163723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40838, -79142, -117432, -155702, -193946?\nAnswer: -232158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382233593326 - -382233816554.470039. Let a = 223166.47 - t. Let x = a + 62. Round x to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from trxaahfrxarxhh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1476, 1297, 2\/7, -2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 108*h - 357 - 200 - 91 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 129 = 5*w. What is the remainder when w is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 161, 225, 291, 359, 429?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-9))\/12*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1418561160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -23) + 28 + -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 23*r + 115. Let u be w(16). Suppose -u*y + 2812 = y. What are the prime factors of y?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrreeereerrr. Give prob of picking 3 e.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.493127 hours to seconds.\nAnswer: 1775.2572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7 - 8 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 + 87. Solve -3*o + o = m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*b + a - 0, -3*a = 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1980)*2)\/(-2*sqrt(176)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 11222 = 3062. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20032171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107947 times 4?\nAnswer: 431788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 113*f**2 - 45*f - 5254. Give q(-113).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2819 = 2*d - 2841. List the prime factors of d.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16 = 2*c, -2*c - 2*d - 2 = 2*c. Suppose 5*h = 2*z + 29, 3*h - 23 = -c*z + 6*z. What is the first derivative of -h*o + 5*o + 2*o**3 - 5 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*w = -2532 + 2446 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 154*o**2 - 340*o**2 + 149*o**2. Let z(a) = -a. Give g(z(f)).\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6865322 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 624*m**2 + 423939*m - 392. Determine h(-410).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1983*p + 6025. Determine x(3).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*k + 6*k - 1590 + 1590 - 147*k**2 to v*k + i + n*k**2 and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1613.000000911 - -1613. Round f to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -5. Let s be (-2)\/(-9) + 1 + -1. What is the biggest value in 1\/4, k, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7263761*l**2 - 7868503.\nAnswer: 14527522*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/126 (b) 0.1 (c) 6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-505 - -525) + (-23 - 0). Put -1, q, 174, -5 in increasing order.\nAnswer: -5, q, -1, 174","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - a**2 + 5*a**2 + 31*a + 93*a.\nAnswer: 3*a**2 + 124*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*q - 4*r + 8, -3*q - 5*r + 18 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -3*n + 121. Is n at least 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 4*p**2 - 4*p - 2. Let r be g(-2). Let t = r - 3. Let q(d) = -d + 2. Give q(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 472 = -2*t, 3*f - 7*f - 3*t = -631. What is the remainder when f is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -5*o**3\/3 - o**2 + 4*o + 16. Let a be p(1). Sort a, -24, 0, 4.\nAnswer: -24, a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.467 + 13.467. Which is the third biggest value? (a) 24 (b) -0.01 (c) q (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143871196334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -28. Let y = k + -1. Solve 0*w = -2*w + y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -193*o**6\/24 + 160*o**3\/3 - 661*o**2. What is the derivative of l(k) wrt k?\nAnswer: -2895*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a760 (base 11) to base 2.\nAnswer: -101110010111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r - 335. Let o(u) = -2*u + 167. Calculate 5*o(y) + 2*t(y).\nAnswer: -2*y + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**2 + d + 902. Let o(a) = -4456*a. Calculate o(q(x)).\nAnswer: 40104*x**2 - 4456*x - 4019312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 - 127. What is w in 0*w + 3\/2*w**z + 0 + 1\/2*w**2 - 1\/2*w**5 - 3\/2*w**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 2*u**2 - u. Let t(p) = p + 3. Let j be t(-6). Give i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 1. Let q be l(2). Let o be (-5 - -3)*(-3)\/2. Suppose b - o*b + 10 = 0. Put b, -1, q in ascending order.\nAnswer: q, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + 0.55. Let t = q - 0.75. Let a = t + 0.90044. What is a rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2. Let a(q) = 2*q + 10 - 13 - 6 + 4. Give j(a(y)).\nAnswer: 4*y**2 - 20*y + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2373)\/16950)\/(((-20)\/(-175))\/(-4))*2?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -3*a - 2*k = -7*k + 13, -4*a + 5*k - 14 = 0. What is the second biggest value in 1\/3, z, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 43127 = -y, 43130 = 7*t - 3*t + 2*y. Suppose -44*s = -26*s - t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 136802*s - 683838. What is r(5)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 507 + -45?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 2*k**2. Calculate the remainder when 76 is divided by n(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/(f\/(f*f**(-4)*f)*f))**(1\/17) assuming f is positive.\nAnswer: f**(-8\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 3:30 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.4 and -0.2.\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Let d be (3 - -12) + (h - 2). Let i = -12 + d. Solve i*u = 2*r - 4 - 1, 0 = -4*r - 2*u - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -12. Which is the second smallest value? (a) 1 (b) 0.5 (c) t (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 1 - (-9 - (0 - (3 + -1))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(56)\/sqrt(4))\/(sqrt(6)\/sqrt(3)*4 + sqrt(2)) + ((sqrt(56)*1 + sqrt(56))*-2)\/(sqrt(72)\/sqrt(81)))*5)**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 957 a factor of 1176153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.9 (b) 0 (c) 4 (d) -5 (e) -4\/5 (f) 1\/6 (g) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 8:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2 + 269*o + 5570. Calculate g(107).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 1:43 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b739 (base 14) to base 16.\nAnswer: 7b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 w when three letters picked without replacement from wgrkookwqkwwkko?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let t(q) = -q**2 - 227818*q - 67. Determine h(t(i)).\nAnswer: -2*i**2 - 455636*i - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*l - 689*l - 1605*l - 50*l + 77*l in the form v + c*l and give c.\nAnswer: -2213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let g be a(-6). Suppose -3*d - 2*b = -12, 0 = 3*d + 5*b - g. Calculate the remainder when 6 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 3*q. Let z = 1 - 2. Let x(a) be the first derivative of -1\/2*a**2 + 6 + 0*a + 1\/3*a**3. Give z*f(g) - 3*x(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.08, -2, -0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 861342*b - 1722682. Determine p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*u + 1457*u**3 + 1470*u**3 - 345*u - 1548*u - 2928*u**3 + 3.\nAnswer: -u**3 - 1641*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from mcuuumu?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 - (-2 - -2)). Let l be (-5)\/10 + (-14)\/(-4). Suppose 3*s - 5 = 2*w - 0*s, 0 = l*s - 15. Sort w, -2, p in descending order.\nAnswer: w, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57302400 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: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10754*-2.\nAnswer: -0.21508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 558680567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i + 3*i**5 + 42*i**2 - 2*i**5 - 13 + i**5 + 176 - 34 wrt i?\nAnswer: 40*i**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 3:20 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.541 + 0.041. Let n be -1*1\/(5\/3). Which is the second biggest value? (a) n (b) 0.4 (c) i (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -434 and 0.068.\nAnswer: -433.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 272.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 7*o - 6. Let p be v(-15). Let x be (p\/(-15))\/(48\/(-195)). Let b = 92 - x. Calculate the common denominator of 19\/4 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.98 + 0.02. Let n = 8 - f. Which is the biggest value? (a) n (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/7 (b) -7 (c) -270 (d) 0 (e) -202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 t when three letters picked without replacement from {p: 2, t: 2, m: 1, z: 1, k: 1, g: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 433, 1715, 3845, 6823, 10649, 15323, 20845?\nAnswer: 27215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 503*q - 7 + 298*q + 3 to u + n*q and give n.\nAnswer: 801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*t**2 - 245*t**2 - 1872*t**2 + 2317*t**2.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -510 - 65002124?\nAnswer: -65002634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + k - 19 = 0, -7 = 3*r - 2*r + 2*k. What is the units digit of 38 + 1 - r\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcro when four letters picked without replacement from {c: 2, r: 1, o: 1, m: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 - -428705964?\nAnswer: 428706300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9656 + 4190699\/434. Which is bigger: 1 or f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = 5. Let i be 8\/(((-16)\/c)\/4). Let a be (-225)\/(-33) + i\/(-44). Do 5 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 8. Let m(b) = -b**2 + 2*b. Let o(d) = -3*d**2 + 5*d. Let l(k) = -10*m(k) + 4*o(k). Give l(n(g)).\nAnswer: -32*g**2 + 128*g - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2829 = 4*x, 3*x + 1133 = 337*h - 335*h. Calculate the remainder when h is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dydydyyydyyyyyyyyd. What is prob of sequence dd?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -15. What are the prime factors of (m*-1)\/(3 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148416?\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, j: 4, r: 3}. What is prob of sequence rj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 47?\nAnswer: -72\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11 - (-910)\/(-84))\/((-2)\/(-30)). Which is the nearest to -0.1? (a) 3\/20 (b) f (c) -366 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 186 + 13 + 528 + 4*h**2.\nAnswer: -h**3 + 4*h**2 + 727","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-7 - (0 - 12)) + 1 + 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 145451516 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 8*m = -74. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31.30000047 + 31.3. What is p rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*-1 - sqrt(504))*4 + sqrt(504) - 2*sqrt(504)*-1)\/(sqrt(88)\/(1*sqrt(275)))*5.\nAnswer: -375*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464085999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26376*i**3 - 93*i + 93*i + 26212*i**3 - 53344*i**3.\nAnswer: -756*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w - 9. Suppose s - 12 = -w*s + 5*r, -16 = 4*s + 2*r. Let o(m) = m**2 + m - 1. Determine o(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*y + 9103320 = -6452784. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/9 (b) 14 (c) -0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 13*j = -0*z - 2, 11*z + 2 = 11*z - 2*z - 3*j - 23 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (-35 - (8 + -84)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.42 * 3.7.\nAnswer: -71.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 187*r**2 - 5141 + 5141 + (0 + 0 + 2)*(2*r**2 + r**2 - 5*r**2) + 8*r**2 - 3*r**2 - 2*r**2 in the form z*r + q + k*r**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1696*w + 5 - 823*w - 735*w as a*w + t and give a.\nAnswer: -3254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23. Suppose 4*t - 6 = q*t. Calculate the highest common divisor of t and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/28)\/(1\/(-7)). Suppose 0 = 2*v + n - 6. Find the third derivative of -v*f**5 - 2*f**5 + 0*f**5 - 7*f**5 - f**2 wrt f.\nAnswer: -660*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -249, -456, -741, -1098, -1521, -2004?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwz when three letters picked without replacement from {z: 5, g: 6, j: 2, w: 2, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 85, 4, -5 in decreasing order.\nAnswer: 85, 11, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -999, -1183, -1387, -1617, -1879?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 29 = -5. Suppose -3*d + 3*q = d - s, -5*q = d + 17. Let f(r) = 0*r - 6 + 4 + 2*r - r**2. Give f(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -15*n + 14. Suppose b - 4 = 5*c, -4*c + 5*b = -5*c + 20. Solve 12 = -2*f - 2*o, c = -f + 6*f + n*o + 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16418965?\nAnswer: 5, 79, 197, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.02. Let h = -0.1 + w. Which is the third biggest value? (a) 4 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 335.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 - -107. Suppose -5*n - 6 = 3*k, 4*n = -4*k + k - w. Let q be 8\/15 - 3\/9. Which is the third smallest value? (a) q (b) k (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6115304877 rounded to 4 decimal places?\nAnswer: -0.6115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10507788*l**3 - 857 - 10507786*l**3 + 43.\nAnswer: 2*l**3 - 814","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1321 = -4*x, -13 = -2*x - 5. Suppose -6*t - g = -7*t. Suppose y - 3*k - 64 = 0, 5*y + 1 - t = -5*k. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (0 + 3)) - (-45 + 53)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-12) + (-6758)\/(-2604) - (-46)\/(-91)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 5*r + 14*r - 29*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28975 and -0.3.\nAnswer: -8692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241 - 140. Let p = b + -95. Suppose -k - 3*k - g = -9, -p = -3*k - g. Solve -k*u + y = -1, 4*y = -12 - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 50\/80 + (-2)\/8. Let q(n) = n**3 + 7*n**2 + 13*n + 1. Let k be q(-4). What is the closest to -2\/9 in k, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - 5 - 0 - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 5303115?\nAnswer: -5303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-12)\/(-45)*(-5)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 24.8. Which is the nearest to -7? (a) h (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*5)\/((-830)\/83)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**8)**(-6\/13) assuming r is positive.\nAnswer: r**(-54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-168)\/(-5)*(-30)\/9. Let o be -56*(-33)\/154*20. Calculate the common denominator of o\/56 + -4 + 158\/h and 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r + 2*h - 13, 0 = 4*r + 4*h - 32. Suppose -5*a = 5*v + 25, 0 = r*v + v - 4*a - 20. Let k = 0 + 2. Put -1\/2, k, v in ascending order.\nAnswer: -1\/2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**3 + 32*g**2 - 84*g - 168. Let a(m) = 0*m**3 + 7*m**2 - 8*m**2 - 3 + 1 + m**3 + m. Let t(s) = -12*a(s) + r(s). Solve t(k) = 0 for k.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957005082 minus -1?\nAnswer: 3957005083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210242 (base 5) in base 14?\nAnswer: dcc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 0. Let c = 276 - 150. Calculate the highest common factor of c and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - (-192)\/(-378). What is the nearest to 4 in -5, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 301137 or 4517047\/15?\nAnswer: 301137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-427)\/183*(-2)\/14*54?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256800492 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -331.6?\nAnswer: -663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - 2 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/1008*14*(-72)\/30\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t - 4. Let b be -2*(-9)\/6 + t. Let u be b\/(-6) + (-26)\/39. Put 0.5, 1, u in descending order.\nAnswer: 1, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 13*h - 33. Suppose -5*k + 22 = j - 16, 2*k + h*j = 29. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/((-2)\/(-12)). Suppose -3*v = -90 + y. Solve n = 5*p - v, 4*n + 4*p - 11 = 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2901.6279 months to centuries.\nAnswer: 2.41802325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by -3?\nAnswer: -286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/92916 and -41\/380?\nAnswer: 8827020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/56)\/(3180\/241680).\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99282.32 hours to milliseconds.\nAnswer: 357416352000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -72*v**2 + 6*v - 1. Let l be k(5). Let w be ((-2)\/2)\/((-3)\/2313). Let n = l + w. What is n rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = n, 4*z + 24 = -5*n - 3. Let d be ((-2)\/(-6))\/(n\/9). Let q be (-160)\/((-1)\/(d - -8)). What is q rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.9013 and -0.119?\nAnswer: 1.2972547","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, p: 3}. Give prob of picking 1 c and 3 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 11. Let d(l) = l + 4. Let z(x) = 8*d(x) + 3*w(x). Let f be z(1). Let k be 4\/38*1\/1. Is f at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47931 at most 4841053\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5233141*-159\nAnswer: 832069419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -1 - 8*z - 11\/2*z**2. Let y(b) = 4*b + 3. Suppose 5*x + 3*j + 30 = 0, -4*x + 3*j = 1 - 4. What is x*w(p) - 8*y(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*r = -34, -5*r + 34 = 5*v - 21. Let h = 11 - v. Let w be (-9)\/(-6)*(-2)\/h. What is the smallest value in 3, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 328 (base 9) to base 3\nAnswer: 100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 18 = -0*m + 2*t, -2*t + 12 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (332\/(-326) - 0). Let w = 159\/141706 + 405813169\/92392312. Let r = w + o. What is the common denominator of 73\/10 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1512 + 12?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 20*r - 31. What is the lowest common multiple of b(8) and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19451689 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 5, k: 5}. Give prob of sequence tzk.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -102 - 103?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + 9 + -4 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47827 is divided by 379?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -74 - 62*g - 68*g - 81*g - 15 + 256*g in the form o*g + x and give x.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4855?\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -6 - (42 + (14 - 48))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127*m**2 - 120*m**2 + 1 + 3)*(2*m - m**2 - 2*m) to the form j + q*m + t*m**3 + n*m**2 + u*m**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59.3081 + 0.729877.\nAnswer: 60.037977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713765 divided by 395.\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3300)\/(-42) + 6\/14. Let z = a + -85. Let c(q) = -q**2 - 6*q + 1. What is c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/8, -0.5, 3, 51, -0.3, 17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244215 + -244218. Let s be (-10)\/(-36)*6\/2. What is the closest to -1\/4 in 1, v, s, -1.7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4 - 5. Let v be 92\/6 + (-4)\/(-6). Let q be (x\/(-6))\/((-4)\/v). Put -3, 1, q in descending order.\nAnswer: 1, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 + 3*i - 4. What is the tens digit of t(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:35 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10430)\/(-1400) + (-29)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(162) + 1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110111?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16*(1 + (-1 - -10)). Let m = 2714 + -2430. Let n = m + u. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2139*j**5 - 312*j**3 - j**2 - 6302673*j?\nAnswer: 42780*j**3 - 1872*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 + -5.04. Let a = -3.1 - -2.1. Let b = m - a. What is the nearest to 0.1 in 1\/8, b, -3\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juuycollyuuuo. What is prob of picking 1 c, 1 l, and 1 y?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a - -698?\nAnswer: 6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 0.34 (c) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.9 - -14. Which is the closest to -2? (a) 3\/2 (b) z (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-40)*4)\/(27\/(-180)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - -363070?\nAnswer: 362872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 37*f + 37*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -4\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.076756 and -3.\nAnswer: 0.230268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/11 (b) -3 (c) 198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*b - 3*u, -u + 4*u = -4*b. Let v(r) = -r**2 - r. Let s be v(-1). Which is greater: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-21)\/2)\/7 + 98\/60. Sort u, 9, -1\/5 in decreasing order.\nAnswer: 9, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 29*m + 817240 = 817636 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 30. Let k = -15 + 13. Let w be (k + 36\/8)*6. Calculate the highest common factor of w and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 4086 = -703. Suppose -186*n + w*n = 18707. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 599, 1316, 2319, 3602, 5159, 6984, 9071?\nAnswer: 11414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00474 to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 11}. Give prob of picking 1 e and 1 k.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 + 154 - 109*v)*(0*v**3 + 5*v**3 - 3*v**3) - 2*v**4 + 0*v**3 + v**3 + 3*v**4.\nAnswer: -217*v**4 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1542401980 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-21))\/(-22 + (31 - 6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 take away -5796.054776?\nAnswer: 5795.941776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/3375 - (15 - 11288\/120)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 48*k**2 - 54*k**2 - 12*k**2 + 2*k.\nAnswer: -114*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -35*k + 58. List the prime factors of a(-8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(44)\/sqrt(4) - (sqrt(44))**2*6) + ((sqrt(11) - (sqrt(1584) + -1))**2 - sqrt(22)\/(-2*sqrt(2))))*4*2.\nAnswer: -148*sqrt(11) + 8544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:07 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.3783km to micrometers.\nAnswer: 425378300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108409*f**2 - 107497*f?\nAnswer: -216818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11112 (base 3) to base 10.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 3) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*i = 2, -5*i = -953*c + 952*c - 26. Let l(b) be the first derivative of -8\/3*b**3 - 5 - b**c + 2*b**2 + 8*b. What is p in l(p) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 153, 469, 1001, 1791, 2881?\nAnswer: 4313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 8 = -2*f. Suppose 4*k - 4*s + 8*s = 20, 4*k - 10 = -f*s. Suppose 5*m + 0*m + 645000 = k. Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2163 times 0.3?\nAnswer: -0.06489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 4 - (10 - -1). Let s = 6 + p. Let v(n) = n**2 + 20*n + 21. Let f be v(-19). Put s, f, 5 in decreasing order.\nAnswer: 5, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1823 + 1209. Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**32)**(-3)\/((j**(2\/5))**(-1\/10)*(j**(-1\/5)\/j*j)\/j**(2\/11)) assuming j is positive.\nAnswer: j**(-10444\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/40 and -187\/1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 52*f + 54. What is d(-3)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 86534.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 30.\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.8 + 4.72. Which is the fourth biggest value? (a) -5 (b) 3 (c) -0.3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*d**2 + 25*d**2 + 4*d - 2*d)*(-3 + 6 - 1 + 2 - 2 + 1 + (0 - 3 + 2)*(3 - 2 - 3) + 1 - 4 + 1).\nAnswer: 15*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*l**2 - 8*l**2 + 42*l**2)*(1 + 1 - 5) - 199*l**2 + 400*l**2 - 199*l**2 - 55 in the form o + f*l**2 + k*l and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1069308595?\nAnswer: 5, 213861719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -258, -393, -528?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -145, -318, -707, -1390, -2445, -3950?\n\"Answer: -13*t**3 - 30*t**2 + 8*t - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t - c + 2, -2*c + 4 = 0. Let g(r) = r**2 + 5*r + 4. Let f be g(-6). Calculate the greatest common factor of f and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14801 * 2370\nAnswer: -350.7837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-5)\/15)\/(4\/10).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*j**2\/5 - 339*j - 486\/5.\nAnswer: 3*(j - 81)*(7*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 2, q: 1, p: 1, u: 1, w: 1}. Give prob of picking 1 p and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -354375.\nAnswer: 4\/354375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13322 - -257435. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.018504 and 1023.\nAnswer: 1022.981496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -3\/8, -19\/5589?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = -43 + 57 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61516448 to the power of 1\/3, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*33*506490\/303894?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2\/73 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v - 5*v + 104 = -8*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -188 and 4.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -32*m + 45. Let c(j) = -14*j + 22. Calculate 5*c(f) - 2*h(f).\nAnswer: -6*f + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-40) + 18857\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-21\/2)*b*b\/b**15 assuming b is positive.\nAnswer: b**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 22*i. Let v be o(-5). Let c be (60\/8)\/((-15)\/v). Suppose -6*b + b + 25 = 0. What is the greatest common factor of b and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 1. Let l be c(6). Suppose -6*z = -l*z. Suppose -2*k - k + 30 = z. What is the smallest common multiple of k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -45*w - 1560. Give y(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178551 divided by -5?\nAnswer: -3178551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = 10*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 1, m: 2, a: 14, c: 1}. What is prob of sequence cmai?\nAnswer: 7\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = j - 5*r, 3*j - 3*r + 61 = -5*r. Let x = 330 - 187. Let o = x + j. Is 30 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -6 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133284 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-18 - -10) - (-2 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1001001?\nAnswer: 1001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 1744860?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(320\/(-52)) + 3. What is the closest to h in 1, 3\/2, -541, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22284050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105340755 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-105)\/28*((5 + 0)*6 - 2). Which is smaller: -944\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -885 + 819. Let o = w + 133. What is the second biggest value in 1, -1, o, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 901805 (c) 1\/4 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 45 = 15*z. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(48\/(-188)) - 0 - 4\/(-12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7850\/1570*((-156)\/(-5))\/(-4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*r, -3*r + 0*r = p - 11. Suppose 2*q - 3*q = 0. Which is the closest to q? (a) 5 (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054427 (base 8) in base 13?\nAnswer: 9c914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -98*r - 156. Let o(j) = 20*j + 31. Let u(q) = -6*h(q) - 28*o(q). What is the hundreds digit of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4510270 to the power of 1\/2, to the nearest integer?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvft when four letters picked without replacement from {t: 4, f: 2, v: 1, m: 1, j: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*s = -69*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200 - -630. Suppose -3*w = 4*l - k, -1 + 26 = -5*l. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56199 = 25*g + 57074 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2744) + 1*sqrt(2744))\/((-1*sqrt(28) - sqrt(7))*4).\nAnswer: -7*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.2, 2\/5, 432?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*d - 112 = -24, 0 = -g - 4*d + 3. Solve 3*a - 7 = 3*m - g, 3*a = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60662728 to the nearest 10000.\nAnswer: 60660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 u when three letters picked without replacement from {z: 1, v: 2, u: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -38, -2\/15, 4\/9, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 820 = -11*g - 30*g. Let s(f) = f**3 - 3*f**2 - 7*f. Let m be s(5). Let x be (6\/m)\/((-16)\/g). What is the second smallest value in -28, x, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 12. Let x = -34.2 + 48. Let h = -13.7 + x. What is the closest to h in 4, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5668692 to the power of 1\/2, to the nearest integer?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -48.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2\/(-4)*(-27 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 7:16 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*g**3 - 59*g**3 + 25*g + 25*g**3.\nAnswer: -97*g**3 + 25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 779 = -18*f - 39*f. Solve -42 = -26*y + f*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 - 849 - (-28 + 1) - (2 - -18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -894\/7363 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391368 by -4254.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7 = 3. Suppose -v = 2 - 4. Is 5 - (v + -1 + s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 2, g: 9, x: 3, n: 1}. Give prob of sequence ffxg.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3222.929ml to litres.\nAnswer: 3.222929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 37726, 1 in decreasing order.\nAnswer: 37726, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ppppbppwjpwwwjz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - -601.673807.\nAnswer: 601.663807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 + 49. Let i = 3 - a. Calculate the highest common divisor of i and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5444 + 5534.56. Let s = h + 3.44. Which is greater: s or 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1192 and 9238.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2312176729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -563, -6, 50, -4 in increasing order.\nAnswer: -563, -6, -4, 14, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 145.199123 to one decimal place.\nAnswer: 145.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*v, 0*x = 3*x - 5*v. Suppose 4*c = 3*f + 9 - 33, -2*c = x. Let i(h) = -h + 11. What are the prime factors of i(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 563939840?\nAnswer: 2, 5, 43, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 191172 and 0.1.\nAnswer: 19117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5065, -10131, -15197, -20263, -25329?\nAnswer: -30395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 4*v**2 + v - 4. Let g(a) = 8*a + 20. Let q be g(-2). Let d be t(q). Suppose 17*r + 7 - 24 = d. Is r < -4\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816200 rounded to the nearest ten thousand?\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61\/2 - 31. Suppose 21 - 511 = 10*u. Let q = u + 47. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -142\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3120)\/66)\/(-4) + ((-2608)\/176 - -15) + -76.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u**3 + 6621*u**2 + 456228*u - 57132 = 0. Calculate u.\nAnswer: -138, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*d**(-3\/2)*d*d*(d**(-2)\/d)**(-5\/22) assuming d is positive.\nAnswer: d**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12348 and 3442?\nAnswer: 21250908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v + 98. Let f be n(-8). What is the second derivative of 47*z + 1 + 4*z**3 - 103*z**3 - f - 6*z wrt z?\nAnswer: -594*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -23. Let c = 64 - w. Let j = c + 47.969. What is j rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15635, -15638, -15643, -15650?\nAnswer: -15659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 213 = -203 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(272)*-4 + -3 + sqrt(68)*2).\nAnswer: 4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251641 and 232973.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 488696.1ml?\nAnswer: 488.6961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:00 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 8\/79 (c) 1\/21 (d) 0 (e) -1\/6 (f) 3 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -6*f**2 + 121*f + 135. Let n(u) = -u**2 + 24*u + 27. Let p(w) = 11*n(w) - 2*r(w). Is p(-23) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, -1\/2, 1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 18848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1d70 (base 16) to base 6\nAnswer: -54520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 895 - 344. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9689*y + 24. Let n be r(16). What is n rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22951 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1809 - 578 = -11*k. Let b = k + -154. Calculate the remainder when b is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let c(w) = -w**2 + 119. Determine c(o(v)).\nAnswer: -4*v**4 + 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 6*y + 3. Let m(u) = -3*u**2 + 7*u - 4. Let l = -20 - -24. Calculate l*m(j) + 5*x(j).\nAnswer: -2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 z, and 1 v when three letters picked without replacement from {h: 1, z: 9, q: 2, v: 3, s: 3}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1538 and 6152?\nAnswer: 6152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2883172955911+-0.38\nAnswer: 2883172955910.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3748 divided by 5.\nAnswer: 3748\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/64 - 18\/8. Sort l, 4, 2\/15 in decreasing order.\nAnswer: 4, 2\/15, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4)*(-4 - -3). Let f = -0.2 - -0.1. Which is the nearest to f? (a) s (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.76203 + 30.622. What is r rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-3)\/(9\/(-1))). Let t(r) = r**3 - 120 + 120 + 5*r**2 - p*r. Let k be t(-6). Solve -2*y = -k + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a - -1?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 2\/5, 3, -213, 4, -7 in decreasing order.\nAnswer: 4, 3, 2\/5, 0.05, -7, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -231*s**3*x - 12*s**3 - 6 wrt x.\nAnswer: -231*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 2*s**2 + s. Let q be z(1). Let v be q + -2 + (2 - -35). Suppose 3*f - v = -5*d, 5*d - 7 - 8 = f. What is d rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is dd5 (base 14) in base 7?\nAnswer: 10655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*42\/(-98))\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3236 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-10)\/6 - -2). Let u(b) = 2 + b**3 + 4*b**2 - 23*b + 25*b - 1. Is u(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, d: 1, o: 1, b: 1, g: 2}. Give prob of picking 2 y, 1 g, and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.3 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -2 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267308 - 1014152. Is u\/(-98) - (-2)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 3*o**2 - 78541 + 2*o + 78541 - 2*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 15*s + 4 - 21*s.\nAnswer: -36*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1160 divide 2637840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -377469, -754936, -1132399, -1509858, -1887313, -2264764, -2642211?\n\"Answer: 2*i**2 - 377473*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (7 - (10 - (3 - -6))) + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 12045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 5 (c) 0.2 (d) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.6 + -24. Let s = r - 1.6. Which is the closest to s? (a) -2 (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 12:15 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -14?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/2 + (-80)\/(-32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 35 = -2*b. Let w(h) = -h - 2. Let k be w(b). Suppose -3*n + n = 3*r, 0 = -5*r + k*n. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j - 98*j = 33*j. Solve -q - 27 = -2*s - 6*q, -s + 4*q - 19 = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3155082628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 48854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14739, 29602, 44451, 59280, 74083?\nAnswer: 88854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2503 divide 11381141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b*w**3 - 76*b*w**2 + 2*b + 7662*w**3 wrt b.\nAnswer: 3*w**3 - 76*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 869*y - 489*y + 1232*y + 2633 - 514*y + 1583*y wrt y.\nAnswer: 2681","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752\/259451 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - -0.17. What is the third smallest value in i, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/23949 and 133\/300.\nAnswer: 2394900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1b2 (base 15) to base 8\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 313644741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 369*a + 10 = 367*a, -5 = -4*f - a. Let v = -2 - -3. Suppose -f*c + 3 = -v. Sort 3, c, -2 in ascending order.\nAnswer: -2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*l - 1 + 4 + 7 wrt l.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from fsjsl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-25)*s)\/(s**7\/s*s*s) assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.289 + 0.011. Let i = -5.1 + x. Which is the nearest to 0? (a) i (b) -2\/19 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 - 34*a - 667. What is t(29)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-5) + 3\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2 + 11*c - 3 - c**2 + 2. Suppose -12 + 33 = 3*k. What are the prime factors of d(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10439 by -8.\nAnswer: 10439\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2550\/(-426) + (1 - 6) - -22*5\/10?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.38*157.\nAnswer: 2257.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1992738, 1992737, 1992736, 1992735?\nAnswer: 1992734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 2\/9 + (-448)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 9. Let h = -95 + 96. Suppose -c + 6 = h. Give n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001635243 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -578, -824, -1040, -1226?\n\"Answer: 15*u**2 - 321*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 44. Let o be (-20)\/(-6)*6\/5. Let h(r) = -o*r + r - 3 + r + 2. Calculate h(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*b - 3, -8*b + 20 = -3*b. Calculate the least common multiple of f and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 2. Let g be l(0). Suppose -c = -g*f + 139, f = 6*c - 2*c + 52. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 13. Give u(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63420?\nAnswer: 2, 3, 5, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3446880 to the nearest integer?\nAnswer: 1857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*t, 0 = 2*f + t - 4 + 16. List the prime factors of (-3 - f) + 208 + -4 + 1.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -600983465\/627 - -958506. Let x = w - 2\/209. Which is the nearest to -1? (a) 0.12 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 - 6*o - 4. Let f be d(-11). Let u = 300 + f. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 35. Suppose -5*h - 2 = -4*u - i, 0 = -5*h + u + 9. Let c(z) = 3*z**2 - h*z**2 + 5*z**2. Let d(y) = 2*y**2. Calculate c(d(j)).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439003 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14 + 14 + 2*d - d. Let m(g) = g - 1. Let o be m(3). Let p(b) = 6*b**2 + 0*b**2 + o*b**2. What is q(p(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**2 - 61*i - 119. Let b be p(-2). Let c be 0 - (0 + -1) - -2. What is the highest common divisor of c and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 1 + 1 + a. Let l(o) = 44*o**2 - 43*o**2 + 2 - 3*o - 4*o. Let f(c) = 2*i(c) + l(c). Let z(m) = -2*m**2 + 4*m - 2. Give 4*f(w) + 5*z(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a48 (base 13) in base 2?\nAnswer: -1100000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549851, 549806, 549763, 549722?\nAnswer: 549683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -28879b6?\nAnswer: -28879b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k - 1. Let g be w(3). Suppose 5*q - g - 9 = -3*f, 0 = -3*q - 4*f + 30. Let i = -1 + q. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100.4 + -7841.\nAnswer: -7740.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(21\/(-6) + 4). Suppose -h + z = 0, 5*z = h + z. Suppose -5 = -r, h*r = -k - 4*r + 18. Put 5, k, u in ascending order.\nAnswer: k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from zzzd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 57*q**2 + 814*q + 201. Calculate j(29).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 + 0 + 301. Calculate the remainder when 59 is divided by q\/15 - 3\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-744)\/2232)\/(3114\/(-54))\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1587627?\nAnswer: 3, 127, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 31*r**5\/15 - 2*r**3\/3 - 7292*r**2. Let o(k) = 5*k**2. What is l(o(t))?\nAnswer: 3100*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/42*(90\/12)\/(-15))\/(-1).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 0.178\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 6*o**2 + 3 - 2 + 0*o**2 wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, w: 4, v: 1, u: 1}. Give prob of sequence nu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110000011000101101011 (base 2) to base 4.\nAnswer: 112003011223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5936*z + 4*z**4 + 407346*z**2 + 208*z**3 - 410634*z**2 - 227 - 2633 = 0.\nAnswer: -65, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:35 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -28b?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -73468 divided by -4\nAnswer: 18367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 8*b + 29)*(-4 + 4 - 2)*(9 - 7 + 10).\nAnswer: -192*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94759.46 millennia in years?\nAnswer: 94759460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1271, -1270, -1269, -1268, -1267?\n\"Answer: t - 1272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 121, -13\/4, 0, 0.03, 1\/5, 1.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(11)*-5)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 15 + 4*r - 8)*(3 + 1 - 1)*(4 + 1 + 1).\nAnswer: 36*r + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let r(t) = t**2 - 39*t + 48. Let i be r(22). Let d = -303 - i. What is the greatest common factor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) + 5594\/18. Is s greater than or equal to 308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -40*t + 1. Let o(z) = -81*z - 5991. Determine -2*m(p) + o(p).\nAnswer: -p - 5993","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22836*j**3 - 45681*j**2 + 22854*j - 9.\nAnswer: 3*(j - 1)**2*(7612*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - 0) - -2 - (-10 - -12 - 30)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in -5, 3, 0.2, -8.08?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/994 or 1?\nAnswer: 1\/994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -158 and -1.31159?\nAnswer: 207.23122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29559231 rounded to the nearest ten thousand?\nAnswer: -29560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79*b*f - b*l**3 - 979*b*l**2 + 2*b + 2*f**2*l**3 - 12*f**2 - 2*f*l with respect to f.\nAnswer: -79*b + 4*f*l**3 - 24*f - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w - 33*w - 9 = 0. Suppose t - 5 = -w. Let p(d) = -d**3 - 3*d**2 + 2*d + 2. Let k be p(-3). Sort 0, t, -3, k in decreasing order.\nAnswer: t, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiitattaaatittiti. Give prob of picking 2 i and 2 t.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2772 is divided by 198?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11885, 4, -1, 0, 91, 3 in increasing order.\nAnswer: -4, -1, 0, 3, 4, 91, 11885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15411*t**3 + 51 - 12 - 15410*t**3.\nAnswer: t**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -96*y + 2051. Determine i(21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -13*s - 108. Let i be b(-8). Put 0.3, 0.1, i, 11 in descending order.\nAnswer: 11, 0.3, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122*c**3*n**2 + 470636*c**3*n + 2482*c**2*n**2 - 2*c*n**2 + 2*n**2 + n wrt n.\nAnswer: 244*c**3 + 4964*c**2 - 4*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8639 + -8619. Solve -25*y = -d*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 5*b - 37 = -y, 2*y - 3*b - 31 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 394720 and 185?\nAnswer: 14604640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -452, -738, -1006, -1250, -1464, -1642?\nAnswer: -1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -39025?\nAnswer: -39051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 33*n + 50 = 142 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9896221 divided by -9896221\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 246*a**2 + 8*a - 19. What is the units digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50.4 and -11447.9552?\nAnswer: 11397.5552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8378 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 + 171. Suppose 0 = -8*y + 194 + 22. Let s = -31 + y. Put 2\/5, z, s in increasing order.\nAnswer: s, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 854031759 to the power of 1\/3, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23577*h**2 + 46995*h - 318 = 0.\nAnswer: -2, 53\/7859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021833?\nAnswer: 3, 113537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-7)\/(-42)*(-24)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -353890314.000724 + 353891107. Let v = d + -793. Round v to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52600102 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 14 = -x, 0 = 4*z - 4*x + 17 - 9. Let a = -12 + 7. Sort 1, z, a.\nAnswer: a, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84558 divided by 42279?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 366, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -738, -741, -734, -711, -666, -593, -486, -339?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20044424 (base 5) to base 2.\nAnswer: 100110111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*g = 0, 3*p + 2*g - g + 10 = 0. Let v(j) = -2*j**2 - 7*j - 4. Give v(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2490 * -0.264.\nAnswer: 657.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -472*a**4 + 7847*a**4 - 4227 + 4234*a**4 - 2432*a**4 wrt a?\nAnswer: 36708*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 x when three letters picked without replacement from hbxhxs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -152 - -153. Let h(x) = 8*x - 3*x + 0*x + t - 1. Let z(v) = 7*v - v + 0*v. Determine z(h(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o - 3. Let x be b(7). Suppose 3*q = q + x. List the prime factors of 12\/q*(30 - 0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 62, 121, 204?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let x(o) = 1. Let m(s) = -k(s) + x(s). Let q(d) = -3*d**2. Give m(q(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 92*p - 634. Calculate f(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 19*r + 0 - 1\/2*r**3 + 1\/3*r**4 + 1\/20*r**5 + 1\/2*r**2. Suppose -2*k - 4*n + 0*n = 16, -3*k = 2*n + 16. What is b(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from fgj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5727 = 42*x + 138*x - 114*x + 183*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4109.\nAnswer: 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*g*m**2 + 7*g*m*z - 22*g*z**3 + g*z + 2*m**2*z**2 + 2*m*z**2 - 2 wrt z.\nAnswer: -132*g*z + 4*m**2 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 divided by -9.\nAnswer: 1577\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**3 - 5*v**2 + 5*v - 10. Let d(j) = -j**3 - j**2 + j - 1. Give -c(k) + 4*d(k).\nAnswer: k**3 + k**2 - k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2015 divided by 5?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 884295659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1422610 (base 7) to base 14\nAnswer: -4d6b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*t**3 + 1 + 180*t**2 - 178*t**2 - 2 - 27*t**3 to l + b*t**2 + a*t + z*t**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.41 + -7.1. Let k = w + -0.22. Let l = 3.09 - k. Which is the third biggest value? (a) 0.3 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3037893*k. Let g(r) = -11*r. What is i(g(x))?\nAnswer: 33416823*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2. Let r(w) = 2 + 16*w - 2 - 22*w. What is m(r(o))?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 2359?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 1646263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/15 and 15\/5557?\nAnswer: 83355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*t - 24 = 0, 2*t - 9 = -2*i + 3*t. Solve i*f - f = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936.22 millennia to years.\nAnswer: 936220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 700486265.\nAnswer: 5, 140097253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (646\/19)\/(5\/(-1)*66\/(-165))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 360, 450, 554, 678, 828?\n\"Answer: f**3 + f**2 + 80*f + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*m**2 - 49*m**2 - 64*m**2 + 74*m - 59*m**2 as z + o*m**2 + c*m and give c.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*d = 376, -5*g - 4*d - 211 + 569 = 0. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1561166 (base 7) to base 11.\nAnswer: 138756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 21*a + 3*a in the form g + z*a and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 32 = -6*i. Let k(f) = f**2 - 6*f - 6. Determine k(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 10*u + 4 = 0. Let b = u - -6. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23790 + -20412. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 9 = -t. Let q be -2 + (-3 + 2)*t. Let l be 4*(-25)\/10 + (1 - -44). What is the highest common divisor of l and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -61463, -122966, -184469, -245972, -307475?\n\"Answer: -61503*v + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -142, -215, -288, -361, -434?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (105 - (-12)\/4)\/1 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 2:24 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496870?\nAnswer: 2, 5, 11, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (279\/12*-1)\/(1 - (-2770)\/(-2768))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*w = -w + 4, w + 12 = 4*g. Calculate the remainder when (-3)\/(-5) - (-235)\/25 is divided by (-3)\/5*(-40)\/g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1125 and 80290350.\nAnswer: 401451750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -2.6. Suppose -464 + 449 = 5*w. Which is the closest to 0.1? (a) w (b) r (c) 0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 1, j: 1, e: 2}. What is prob of picking 1 e and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766 at most 11768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -151 + 241. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l + 3. Let f(i) = -31*i**2 + 3*i + 7. Give -2*b(j) + f(j).\nAnswer: -29*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5 = 0, 5*d + 39*g - 16*g = 22*g + 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l + 2*v, 3*l + 5*v + 16 = v. What is the remainder when -10 - l - 138\/(-2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 0 - (8 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886914 is divided by 26876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a + 22. Let w be n(2). Let i(p) = p**3 + 18*p**2 + 30*p - 30. Let b be i(w). Put b, -3, 8 in descending order.\nAnswer: 8, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amj when three letters picked without replacement from uxxujajjmujxx?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/13 (b) 0.15 (c) 0.7 (d) -4.1 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 202091 and 4.\nAnswer: 202095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*x - 39*x + 6*x - 79*x + (-6 - 1 - 4)*(3*x + 5*x - 3*x))*(-3 + 0 + 1) as f + p*x and give p.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -0.9307?\nAnswer: -0.9307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0 - 0) + -1)*76\/(-4). Suppose 503 = c*x + 123. Solve -3*o - o - x = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let n be 2\/(-7)*(0 + k). Let x = 35 + -34. Put n, x, -0.5 in descending order.\nAnswer: x, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d**2 + 363*d**3 - 8*d**2 + 1139*d**3 - 23*d**2.\nAnswer: 1502*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1630062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 16*x**2 + 641*x + 9839. Determine b(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let r be -2*x*(-13)\/7. Let w = 1441\/84 - r. Calculate the common denominator of -117\/10 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + -3*(-5 + (1 + sqrt(1872))*1)).\nAnswer: -75 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(567)*-1 + 3 - -1*(sqrt(567) + 3)) + -5 + -4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 164403956 = 2*q. Suppose 15*t = -735035018 - 1346994652. Let g = q - t. What is g rounded to the nearest one million?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7347 - 3620 - 3687 + 399*j**2.\nAnswer: 399*j**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 0 - o + 5 - 4. Let i(q) = 8*q - 14. Let s = 10557 - 10556. Calculate s*i(x) + 10*w(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 9:57 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -14*a + 18. Suppose a*z - 12 = 15. Factor -18*l**3 - 12*l**4 - 3*l**5 + l**2 + 3*l**3 - z*l**2 + 2*l**2.\nAnswer: -3*l**2*(l + 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287052857 to the power of 1\/4, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*j - 2688 = 62*j. Is 112 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -15 - (-636 + 606)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220211 (base 4) to base 9.\nAnswer: 3505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and 126?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 22*g + g)*(2 + 0 - 1 + (0 + 1 + 0)*(-2 + 1 + 3) + 0 + 0 + 2)*(0 + 3 + 1).\nAnswer: 320*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*sqrt(33)\/sqrt(3))**2 - sqrt(11)) + ((sqrt(99) - (2*sqrt(99) + sqrt(99)))*-4)\/sqrt(9).\nAnswer: 7*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Suppose 4*k + 7 = -q - g*q, 4*q + 18 = -k. Suppose k*j = -2*x + 4, x + j = -j. Solve -x + 13 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 - 219. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835437 (base 9) in base 7?\nAnswer: 16152034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2685.7 (b) 0.55 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 299756*b**2 + 11250269250*b + 1390428151992.\nAnswer: 2*(b + 124)*(b + 74877)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -134399898 + -97 - 5\/1. What is c rounded to the nearest one million?\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = 3*u, 0 = 5*u - 2*y - 4 + 11. Let j be 6\/(u + 4) + 2. Suppose -5*i = q - 36, 5 + 3 = -i - j*q. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10845 and -7487.\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 17. Let a(u) = 2*u - 3. Let z be a(7). Suppose v*l = l + z. What is the lowest common multiple of 8 and l?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*p = 11, -29*p - 9 = -26*p. Suppose q = 5*o - 23, -4*q + 33 = 6*o - o. What is the fourth smallest value in q, u, 2\/9, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2. Let y(m) = 6*m**2. Determine y(r(t)).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from {e: 1, k: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*h - 7 = -6*b + 9, 0 = -5*b + 3*h - 45 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*t**3 + 1383*a**2*t - a**2 + 2*a*t**3 + 4*a*t**2 + 45266959*t**3 - 1198 wrt t?\nAnswer: 12*a**2 + 12*a + 271601754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, -2, 0.72, -5 in decreasing order.\nAnswer: 4, 0.72, -1\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3b7b (base 13) to base 9\nAnswer: 12652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11718242*j**3 + 6472599*j wrt j.\nAnswer: 70309452*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y + 3*y)*(3 + 1 - 2) + (-3 + 3 - y)*(-4*y - 2*y + y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/6*6*7\/(-14). Calculate the greatest common divisor of 26 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 2 (b) 1\/5 (c) -1\/11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 272*s + 1 - 6 - 292*s. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 25*i - 34. Let b be x(-19). Suppose -39 = -3*l - 3*y, -5*l + 31 = -l - 3*y. What is the greatest common divisor of b and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2512 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7425092.\nAnswer: 2, 89, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*u**4 + 113*u**3 + u**2 + 3115 wrt u.\nAnswer: -28*u**3 + 339*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:41 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 54. Find the common denominator of (97\/(-8))\/(o\/12) and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 n when two letters picked without replacement from {z: 1, h: 2, n: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13697 + -13691.8318. Round j to 1 dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (4 - 1 - (-2 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133956, -535829, -1205618, -2143323?\nAnswer: -3348944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -3. Let f = 15\/2 - x. Sort f, 3, 0.2.\nAnswer: 0.2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((18\/123)\/(-3)). Suppose -5*u = -101 + p. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.26 rounded to the nearest 10?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)*h)\/h)\/h**14*h**(1\/13)*h**11 assuming h is positive.\nAnswer: h**(-194\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + 3*g + 1. Let y(z) = z - 2. Let b be y(0). Let i be (-1 + 1)*(-2)\/(-4). Let t = i + b. Give q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + 6 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 2. Let n be m(-3). Let v be 3*2*n\/(-2). Suppose 2 = v*d - 1. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 5*b + 7. Let a be s(3). Let f be (a - (3 - 4)) + -6. Let l(t) = t**2 + 2*t - 4. Calculate l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 - 79. Calculate the greatest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*((sqrt(500)*-2 - sqrt(500))*-4 - (sqrt(500) + (sqrt(500) - (sqrt(500) + (sqrt(500) - 6*(sqrt(500) + 1 - sqrt(500))))))))**2.\nAnswer: -1440*sqrt(5) + 72033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 848 (b) 5 (c) -0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q - 15. Let p be t(12). Let c be (-1 - 2)*p\/27. Suppose -b + 20 = -4*k, -5 - c = 3*k. What is the remainder when 15 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 + 141 + (22 - 2) - -13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14062 divided by -471.\nAnswer: 14062\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 15*v = -25*v + 8113443. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8660982 minutes to microseconds.\nAnswer: 51965892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255 - -332. Let f be (7\/(-3))\/(3\/(-9)). What is the greatest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13010, 26026, 39042, 52058, 65074?\nAnswer: 78090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/42 + 7*c**4\/12 + 10*c. Find the third derivative of p(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -1. Suppose m*p - 14417 = 5983. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*g - 5*g = 1, -3*x - 5*g - 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(50) + (sqrt(300)\/sqrt(6))**2) - (1*sqrt(350) - sqrt(350))\/sqrt(7)) + (sqrt(968)*2)\/sqrt(4) + 5.\nAnswer: 52*sqrt(2) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5135355133 + -3?\nAnswer: 5135355130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2*1\/(-6) + 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g**5 + 76*g**4 - 132*g**3 + 84*g**2 - 16*g = 0 for g.\nAnswer: 0, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/554289 and 25\/33.\nAnswer: 6097179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-9)\/(-2))\/(-3*1\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u + 9. Let x(s) = 4*s + 3. Let w = -2715 - -2698. Give w*x(a) + 6*l(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/6 - 29*s\/2 + 824\/3.\nAnswer: -(s - 16)*(s + 103)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 66078626?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -1271, -3315, -7059, -13073, -21927, -34191?\nAnswer: -50435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 1 + 3*t - 3 - t**3 + t**4 as s*t**2 + g + p*t**4 + x*t + b*t**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 37. Let c(j) = j - 44. Let u(d) = 4*c(d) + 5*f(d). Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 20, -h + 4 + 22 = 5*o. Calculate the smallest common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - o + 3*o - 4*o. Let x(t) = -3*t + 4*t + 0*t. What is g(x(u))?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-12)*264\/(-18656).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 629*x**2 - 9457*x + 333. Determine k(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180 and 93465.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6742 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5181, 5186, 5193, 5202, 5213?\nAnswer: 5226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p + 4*p**2 + 4*p - 2*p**2 + 6*p to the form f*p**2 + j + b*p and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxkuxkxxxxxxxfnx. Give prob of sequence kuk.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 1, e: 5}. What is prob of picking 2 e, 1 l, and 1 f?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 31*t**5\/60 - 13*t**3\/3 - 36*t**2 + 9*t + 3. Let h(f) be the first derivative of i(f). Differentiate h(q) wrt q.\nAnswer: 62*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54567, 436698, 1473979, 3493986, 6824295?\n\"Answer: 54596*d**3 - d**2 - 38*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zccai. Give prob of picking 1 i and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23956 - -10?\nAnswer: -23946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*y**3 + 34\/11*y**2 + 38\/11 + 74\/11*y = 0. Calculate y.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191812 and 316.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 234184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 + 6*i - 6. Let a be m(3). Does 36 divide 1250\/a + 2\/6 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -575440, -575457, -575484, -575521?\n\"Answer: -5*s**2 - 2*s - 575433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 2*sqrt(85) + sqrt(85) + sqrt(85) - sqrt(85))*-6 - sqrt(85) - sqrt(85))\/sqrt(5).\nAnswer: -26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160630, 160629, 160628?\nAnswer: 160627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/120 - u**5\/10 + u**4\/3 + 3*u**3\/2 + 3*u**2. Let g be t(-7). Suppose l - l - 3*l**3 - 3*l**g = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 612.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -19*c**4\/6 + 1018*c. Let d(f) = 44*f**2. Give d(h(r)).\nAnswer: 63536*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43\/76 in -0.3, 3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*h - h - 294, 4*h = -d + 156. Suppose 0 = w + 69 - d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*g + 16 = 0, -3*g - 2*g = -2*r + 1. Let a = 74 + -81. Let y = r + a. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + 28. Suppose -4*h - 5*q + 164 = -8*q, -h + q = -s. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v - v - 80. Let o be (3 - 0 - 78\/30)*v. Solve -16 = -0*k - o*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 31*z**5\/20 + z**4\/6 + 6*z**2 + 16*z - 6. Find the first derivative of l(w) wrt w.\nAnswer: 93*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + 540. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -404*t**3 - t**2 - 4*t + 6. Let y be v(-3). Suppose 30*k - y = 21*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/((-2686)\/952) + 47.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**5\/60 + 7*l**4\/12 + 83*l**3\/6 - 171*l**2. Calculate the remainder when 43 is divided by a(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 633 - 2537. Let a be 467 + (-59 - -5)\/(-6). What is the third derivative of -o*g**4 + a*g**4 - 8*g**5 + 8*g**2 wrt g?\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.4, -8, -4\/3, 16, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - 7)*(-165 + 10) is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -149143 and 1.72091123.\nAnswer: -149141.27908877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/39 - 201\/(-39)) + -27. Let m be d\/6 + 3 - (-400)\/6. What is the highest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39599385 is divided by 366.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 72802, -1 in ascending order.\nAnswer: -5, -1, 0, 72802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.443, -1\/8, -1\/2, -132?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14579876 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*l = -0*l - 12, -5*l + 48 = 28 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + z - 7 = 0, 3*y + 3*z + 4 = -2*z. Is -6326*-3*y\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 21 = s. Let t = -7 - s. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n - 4*u + 26 = 0, 7 = n + 5*u. Calculate the remainder when 67 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-8)*12*10\/(-585). Suppose 2\/13*m**3 - 2\/13*m**2 - 2\/13*m + a = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 - (9\/(-6))\/(45\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3664.\nAnswer: 3\/3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2613\/8 + (-210)\/(-560). What is the highest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5894*1.914\nAnswer: 11281.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let i be w(-2). Suppose -4*k = -7*k - 12, 4*k = -i*r + 90. Let j = r - 28. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24\/11 - 61\/33. Which is the closest to -0.1? (a) -0.4 (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 2667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127.822 - 152.8144. Let k = -25 - h. Let s = k + -2.7824. What is s rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = 3*x - 5, -2*s - 2 = -3*x. Suppose -3*p - p = x. Let h = 2 - p. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 151\/170 + 7\/17. Let i = 229\/180 - q. Put 2, 0, i in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-1 - (-1)\/1). Let d(p) = 9*p**2 + 2*p - 3. Let s be d(x). Let f be (s\/20 + 0)*945. What is the greatest common divisor of f and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (-1948)\/18. Let m = u + -109. What is the closest to -4 in 5, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 976.09 to the nearest integer.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -j**4\/10 + j**3\/3 + 2*j**2\/5 + 6*j. Let z(s) = 0. What is s?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -1. What is the common denominator of 202\/20 - (-2 + g) and 31\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, k: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:03 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22402 (base 6) to base 9.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 525 + 51. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3952, -7804, -11556, -15208, -18760?\n\"Answer: 50*s**2 - 4002*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 104*r = -2350. Put r, -2, 0.04 in decreasing order.\nAnswer: r, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1923*t - 199 - 3848*t + 1933*t)*(0*t + 0*t + 2*t)*(-t + 0*t - 2*t).\nAnswer: -48*t**3 + 1194*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + -2 + 5) - 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57251600 is divided by 41820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318021 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*t = 11, -3*t - 11 = -3*m + m. Find the third derivative of -m - v**2 - 12*v**3 + 47*v**3 + 11*v**3 wrt v.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1778 - -6115. Is o a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i = 87*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 31975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 4:49 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -87 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 351 - -288. What is the highest common factor of w and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 14*u = -912. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3245\/(-11) + -2 + 4. Let m = x + 412. Calculate the highest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*1\/32*12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1584 + -1534.67. Let p = 49 - j. What is p rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 852230 or 852246?\nAnswer: 852246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 + 23713*u**3 + 1129487007*u**2\/2 + 115583540797*u + 23758498284361\/4.\nAnswer: (u + 103)**2*(u + 47323)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -10*l - 65. Give o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24941 less than 25044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4728213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 683*q + 7*q**3 - 215 + 51 - 6*q**3 + 82.\nAnswer: q**3 + 683*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-36852\nAnswer: -14740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 4*l**2 + 2*l - 2. Let r be b(-4). Let k = 16 + r. Let q be (-8)\/k + (2 - 0). Do q and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2093 = 1141. Suppose 2*s = o - 64. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + r + 115 = 0, -4*r + 0*r - 187 = -5*x. Suppose -109 = 37*p + x. What is the second biggest value in -6, -0.1, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.14 (b) -2.1 (c) -0.5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 11*n**2 - 9*n - 12. Let c be h(-10). Let o = 68 + c. Calculate the remainder when 135 is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1062?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142537970 and 4210?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4367310 and 0.05.\nAnswer: 218365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**3\/5 + 16*k**2\/5 - 128*k\/5 = 0.\nAnswer: -8, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 6:41 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 80\/120 - 16\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(441)\/(sqrt(7) + sqrt(28) + sqrt(7)))\/(sqrt(9) + sqrt(9)*1*-4).\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 + 6 - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 211\/12 + -203\/6. Let y = -82\/3 + 42. Find the common denominator of u and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-129)\/(-6192)*(24\/3)\/2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*d*h**5 - 496*d*h**3 + 2*d*h**2 + 13*d*h + 3*d + h**2 wrt h?\nAnswer: -180*d*h**2 - 2976*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 - 5 = 0. Suppose 6*l + 4 = 4*l. Put s, -4, l in decreasing order.\nAnswer: s, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 40 = o. Let p(u) = -5*u. Let f(j) = -14*j. Give o*f(m) + 11*p(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -121002121122110 (base 3) in base 16?\nAnswer: -82883d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -1732.46?\nAnswer: 1735.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 3*l**7\/280 - l**6\/30 + 7*l**3\/6 - 13*l. Let t(v) be the second derivative of r(v). Find the third derivative of t(a) wrt a.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 0*o**2 + 0*o + 8\/3*o**6 + 0*o**5 + 0*o**4 + 10 - 7\/3*o**3. What is the third derivative of j(i) wrt i?\nAnswer: 960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, -5, 28, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*3415\nAnswer: 6830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, -189806, -5 in decreasing order.\nAnswer: 1, -5, -14, -189806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 86*u - 4. Let w be z(0). Let q be (-3)\/(-7)*2\/(-3). What is the closest to 0.1 in w, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -19*z + 8. Let k(l) = -96*l + 40. Let o(c) = 24*h(c) - 5*k(c). Let q be o(5). What is the greatest common divisor of q and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211 - -21101112?\nAnswer: 21120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2 = -2*m - 3, 0 = -2*m - 4*i - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*k = -2*i + 250*k - 6, -2*k = i - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19086 = -11*k + 8*k + 3*i, 2*k + 5*i + 12710 = 0. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 + 512 - p**3 - 4410*p**2.\nAnswer: -p**3 - 4410*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 0, 37, 9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, s: 4, e: 1}. What is prob of picking 1 e, 2 s, and 1 b?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2334*b**2*h - 2498*b**2 wrt h?\nAnswer: 2334*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3 = -3*i. Let h(n) = -n**3 + n**2 + 3. Let b be h(i). Let x be (b + 18)*(-1)\/(-5). What is the nearest to 1 in 0.3, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -7, -2, -13602, -13 in ascending order.\nAnswer: -13602, -13, -7, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(2*s**2 - 2*s**2 - s**2) - 126*s + 126*s + 7*s**2 - 3*s**2 - 5*s**2 + 2*s**2 to a + q*s + x*s**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*r - 26, -2*r + 28 + 58 = 3*x. Suppose 4*u + w + 0*w = 23, 5*u + 4*w - 26 = 0. What is the highest common factor of u and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161965, 166991, 172019, 177049, 182081?\n\"Answer: n**2 + 5023*n + 156941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - y = -2*p + 9, -2*p + 4*y = -18. Let z be 2 - (-1 + -4 + (5 - p)). Solve 5*r + 3*n = -10 - 1, 3*r - z*n = 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081557 rounded to six dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 20722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 5\/(10\/6). Let k(r) = -3 - 6*r - 1 + y - 1. Let q be k(1). Put 5, q, -3 in descending order.\nAnswer: 5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*v = 118072, 4*l - 80067 = 4*v + 14441. List the prime factors of l.\nAnswer: 2, 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:20 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 125456*g. Let s(c) = 3*c. What is y(s(l))?\nAnswer: 376368*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23137356 (base 8) to base 16\nAnswer: 4cbeee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24)*60\/(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235204*x - 235236*x + 1088 = 0 for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8 - -0.8. Let n = 0.1 + -1.1. Let f = 69 + -70. What is the nearest to f in h, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-153))\/((418\/342)\/(-11)))\/(-2)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 10*r - 19. Let g be b(7). Let a = 198\/19 + -1413\/152. Is a > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 10*x = l + 2, 4*x = -5*l + 815 - 825 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(42)*1 + sqrt(42)))\/(sqrt(216) + 2*sqrt(216) - sqrt(216) - sqrt(6) - sqrt(6)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**7*q*q**7*q)**(6\/13)*q\/((q*q\/(q*q**(-5\/4))*q*q)\/q)*q*q**(-2\/5)*(q*((q\/(q*q**0)*q)\/q)\/q)**(6\/31) assuming q is positive.\nAnswer: q**(51\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -480068 divided by 480068?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 5240 = -164*y + 5754 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**31\/m*m*m\/m**(8\/5))**43 assuming m is positive.\nAnswer: m**(6536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 612150655?\nAnswer: 5, 122430131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 10. Let n(s) = -3*s + 10. Let u(q) = 4*m(q) - 3*n(q). Let r be u(12). Let k = 200\/9 - r. What is the closest to k in -1\/2, -3\/5, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -252*q + 537*q + q**2 - 286*q + 27 + (3*q - 15*q + q)*(-4*q - q + 4*q) in the form o*q**2 + y*q + t and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 1 = -6. Let m(x) = 9*x + 1. Let c be m(r). Is -1 + c\/(-4) - -178 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.00001112 - -6. What is f rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 51. Give r(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from zce?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/240 and 47\/5694?\nAnswer: 227760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 11 - 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/11 - 1189194*v**3\/11 + 235697061606*v**2\/11 - 15571640637749198*v\/11.\nAnswer: 2*v*(v - 198199)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3779191 + -1518212. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 3. Let c be (l\/28)\/(3\/(-6)). Is c at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -58399*j - 1677. Let f be l(7). Round f to the nearest one thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 10*o**2 - 6*o + 14. Let s be g(-10). Let x = -68 + s. What is the derivative of -1 + x*v - 4*v - 13 - 14*v wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.9159 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from {u: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*q - 72, -4 = -g + 5*q - 13. Let b = g - -78. Let d = 61 - b. Solve 3*a = -d*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/5)\/(h\/(h**(-6)*h*h)))\/((h*h*h\/(h\/h**(-2\/11)*h)*h)\/h**4)*h**(-2\/7)*h\/(h\/((h*h*h**0\/h)\/h))*h**2*h**(-1\/13)*h assuming h is positive.\nAnswer: h**(96\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**3 + 5*c**3 + 5*c**3)*(c**2 - 5*c**2 + 2*c**2) + (-2*c**4 + 2*c - 2*c)*(-5*c + 10 - 10) + 4*c**3 + 2*c**5 - 4*c**3.\nAnswer: -6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 75986 (base 11) to base 13\nAnswer: 3b2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94019875 to the nearest integer?\nAnswer: 9696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52.64118mm?\nAnswer: 5.264118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -573, -592, -619, -660, -721, -808?\n\"Answer: -a**3 + 2*a**2 - 18*a - 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.08 - 3.08. Which is the closest to 1? (a) 0 (b) h (c) -9\/7 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/5 + 56*v**4\/5 + 584*v**3\/5 + 2752*v**2\/5 + 5632*v\/5 + 4096\/5 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20.2. Which is greater: h or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8*(-8)\/(-22))\/1\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -1\/7 (c) -3 (d) 3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 471101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.88, 0.5, -46, 0.133?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 9*l**2 + 4*l + 21. Let n be c(-9). What is the tens digit of 122\/(-3)*n\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2 - q + 1. Let k(v) = 14*v**3 - 6*v**2 + 7*v - 6. Let a(d) = 6*f(d) + k(d). Let n be (-25)\/(-35) + 4\/14. What is a(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 68088*d - 579496968.\nAnswer: -2*(d - 17022)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118222, -472746, -1063620, -1890844, -2954418, -4254342?\nAnswer: -5790616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10165, -17890, -25637, -33406, -41197, -49010?\n\"Answer: -11*w**2 - 7692*w - 2462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -912 + 402. Let i be n\/(-50) + -9 - 6\/5. Solve -4*v + 2*d - 4 = 2, i = 4*v + d + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7012.5 - -7013. Which is the nearest to 0? (a) -3\/5 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 89 - ((-9)\/36*-1 - 87\/12)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0, -4, 4 in decreasing order.\nAnswer: 18, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 7*z + 8 = 0. What is the least common multiple of 4 and -4 + z + 11 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -3, 3, -45, -7\/5, -7, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(95)*1 + sqrt(95))*4 - sqrt(95))\/sqrt(5) + (2*sqrt(19)*-4 - sqrt(19) - (sqrt(19)*2*-1 - sqrt(19))))*-4.\nAnswer: 52*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 13*i**6\/120 + i**5\/30 + i**3\/2 + 15*i**2 + 1. What is the derivative of p(r) wrt r?\nAnswer: 39*r**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -43. Let z be 162\/s - 2\/16*-4. Let o(c) = 1. Let w(n) = -1. Let j(y) = -6*o(y) - 7*w(y). Let l(q) = q + 8. Calculate z*j(r) + 5*l(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30732556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168, 181, 216, 285, 400, 573, 816?\n\"Answer: 2*g**3 - g**2 + 2*g + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.04, -3\/28, 59, -5\/13 in ascending order.\nAnswer: -5\/13, -3\/28, -0.04, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 11 = -5*o, -3*v - 588 = -3*o - 582 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (14\/(336\/558))\/(-20 - 1) and 7\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 2*j + 4. Let d be y(-3). Let t be (-14)\/d + (-15)\/20. Suppose t - 49 = -p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -4. Suppose 0 = -w - 3*m - c*m - 12, 5*m = 3*w - 4. Let l be ((-4)\/1)\/4*w. Solve l = 5*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 822, 1632, 2442, 3252?\n\"Answer: 810*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5 = 0, 5*h + 1167*w = 1171*w + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/6)\/(-1)*6. Suppose a*t + 0*t = 198. Is t\/4 - (-1)\/(-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.63 rounded to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*r = 6, 2*z = 4*r + 8 + 10. Suppose z*f + 27 = 111. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2590, -2921, -3252, -3583, -3914, -4245?\n\"Answer: -331*o - 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4*2\/(-52712)) - -6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:15 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/10 + (2 - -1). Let t = r - -82\/45. Which is the second smallest value? (a) t (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*72 + (4 + -5 - -2)*-8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 112) + (2908 - 2785).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/30*(-8)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491738.\nAnswer: 2, 13, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-10) - ((-1729)\/(-130) - 14). Let w = 1148\/5 - 229. Determine j so that 4\/5*j**3 - f*j - 1\/5*j**4 - 2\/5*j**2 + w = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aho when three letters picked without replacement from odihouoioiodiao?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37547075 and 1695?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 199 + 65 = -2*h, 189 = 3*h - x. Suppose -2*t - 32 = -w, w + 2*t + 16 = h. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*k - 24. Suppose 5*j + 3*h + 48 = 7*j, 5*j - h - 107 = 0. Solve k*m + 9 + j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 104. Let c(p) = p + 1. Let x be c(3). Suppose x*m = 5*m. Solve 3*o + 4*a - 17 = 0, m = o - 3*a + f - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(2\/(-1)) - 0. Let u = k - -2. Let i = 1 + u. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 9:42 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000349 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2790*y - 714 = -2739*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 259, -15 in increasing order.\nAnswer: -15, -4, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/144 and -19\/4616.\nAnswer: 83088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w - 15. Let q be n(-7). Suppose 5*y = 6*y + 5*j - 10, 0 = -2*y + 2*j + 32. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w**(-3)*w))\/w)\/w*w*w\/(w*w**(-2\/3)*w)*w)\/(w\/(w*w*w**(-2\/9)))**(-6\/7))**(-3\/17) assuming w is positive.\nAnswer: w**(-6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23903*d*o**3 + 3*o**3 - 3230*o**2 wrt d.\nAnswer: -23903*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 589\/589 + 6*(-2)\/9. Let q = -2 + 1.5. What is the smallest value in -0.1, d, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.3688 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**40*n**(-5\/8)\/(n**(-26)\/n) assuming n is positive.\nAnswer: n**(1273\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464559*z - 464559*z - 4*z**2 - z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 20 = -55. Let r = -167 - -212. Suppose 56 = j - 2*t, r = j - t - n. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b22 (base 12) to base 3.\nAnswer: -2012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -2, 145 in descending order.\nAnswer: 145, 53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49\/110 + -83\/11. Calculate the common denominator of v and 17\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194285?\nAnswer: 5, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166305.\nAnswer: 3, 5, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0535447367 to 5 dps.\nAnswer: 0.05354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 2. Let q(z) = -40*z - 17. Suppose -87*g - 388 - 219 = -85. Calculate g*q(j) - 51*u(j).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/81)\/(o**(-11)\/o))**(-2) assuming o is positive.\nAnswer: o**(-1948\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*n = 200*n + 166*n - 550 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - -6 - 2 - -1. Is ((a\/(-10))\/1)\/((-252)\/28560) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13718271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 3 + 3)*(25582 + 17143 - 1331 + 9001 - 8093).\nAnswer: 84604*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*x - 436*x**4 + 438*x**4 + 8*x**3 + x**3 in the form c*x**4 + b*x**3 + w + u*x + o*x**2 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 765 and 6?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -7, -229192 in descending order.\nAnswer: 0, -6, -7, -229192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*u + 2, 3 = q + 5*u. Let l be (45\/6)\/(-3)*q. What is the third derivative of -3*s**5 - 3*s**2 + s**2 + 3*s**2 + 0*s**l wrt s?\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14764.03 - 14764. Let s = 0.04 - 5.04. What is the smallest value in b, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 60 = 72 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from lgtgnlnnnnllgllnl.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-49)\/(-14) - 3)\/(8\/(-24))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3440 - 1636. Is 82 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18382.64 kilograms in tonnes?\nAnswer: 18.38264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 11:32 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-20)*112\/160*4\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80437 * 0.4.\nAnswer: -32174.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 - c - 12. Let n be v(11). Suppose -58*u + 2106 = -23*u + 46*u. Calculate the highest common factor of n and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 8167821 - 10832179 = 0. Round t to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.6, 27, 2\/5, -10, -251?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9 - -2)*(462\/(-3) + 6).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*x + 4*x - 8, x = 2*i + 5. Let d be -1 - i - (0 + (-4 - -4)). Suppose 3*p - 10 + 4 = d. Solve -p = 5*z - 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.18 + -3.566. Let s = 19 - 19.024. Let y = s + m. What is y rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 6. Suppose 8*j = b*j + 60. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - w**2 + w**2)*(-4 + 3 + 0)*(3683*w + 3 - 269*w - 490*w + 1463*w) in the form o*w + s*w**2 + u + v*w**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -23*x**2 + 6*x - 3. Let d(g) = -g**2 + 4*g + 81. Let s be d(11). Let r(p) = -8*p**2 + 2*p - 1. Give s*l(y) - 11*r(y).\nAnswer: -4*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.03 and 3.811?\nAnswer: 1.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -67. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1857 divide 188234535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Suppose -g = -4*k - 0 + 1, 3*g - 5 = 4*k. Suppose g*r + 3*z = 20 - 8, -5*r = 3*z - 20. Let v(o) = r*o - 2*o + 0*o. Determine t(v(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15366*z**3 + 24722*z wrt z.\nAnswer: 92196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = 0. Let w be (-5)\/(-10)*(y + 0). Is 37 + 6 - (w - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/(-14) + 2\/7. Let t(w) = w**3 - 11*w**2 + 3. Let o be t(n). Sort o, -2, -3 in descending order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uttu when four letters picked without replacement from uutttttttttutttuttu.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 1 + 1 + (0*x - 3*x + x)*(10 - 9 - 9) to g + l*x and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 1502 = 297. Differentiate -16*h**3 + 1801*h - 60 - s*h - 22*h**3 wrt h.\nAnswer: -114*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20072827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*j + (32 - 56 - 78)*(-j + 3*j - j) to the form l*j + t and give l.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -0.08, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 259056105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 15*q**2. Let f(y) = -4*y**2 - 7*y - 7. Let o(h) = -2*h**2 - 3*h - 3. Let r(m) = 3*f(m) - 7*o(m). Determine r(d(c)).\nAnswer: 450*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 611331 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:33 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 1377842*o\/7 - 8266980\/7.\nAnswer: -2*(o + 6)*(o + 688915)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 153\/(-5) - (-6)\/(-15). Let y = -14 - u. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -330\/31 + 62731\/5890. Let n = z + -771\/2090. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137.457 - -1.457. What is the second biggest value in 1, 3\/7, x, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-4\/3)\/r*r*r**(-4\/9))**43*(r**(-2\/21)*r\/(r*r**(-15)*r)*r)**7 assuming r is positive.\nAnswer: r**(251\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112121020 (base 3) to base 6.\nAnswer: -352223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 200231*m*r + 398087*m wrt r?\nAnswer: 200231*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -183, -261, -323, -363?\n\"Answer: z**3 - z**2 - 92*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813069439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1528 by -382.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1485882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(14\/(-10))\/((-1100)\/(-2750))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.746593257 to two decimal places.\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.328.\nAnswer: 1.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-4 + 1) + 4. What is the highest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.304 and 2.\nAnswer: -0.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -53 + 51 - (-1 - 47)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*j + 4*j. Let k be (-195)\/(-10) - j\/(-2). Let n = k - 6. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6004844 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185 + 402. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (43 + -1 + 4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 12*q**2 - 11*q + 2. Let w = 210 - 221. Give c(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**4\/3 - 4555*m**3 - 2103145*m**2\/3 + 1415755*m - 2130460\/3 = 0.\nAnswer: -148, 1, 2879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d - 5*v, 7 = 5*d + v - 2*v. Suppose -2*o - 20 = -2*m - d, -52 = -5*m - 2*o. Calculate the highest common divisor of 25 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 357510.139972 and 3.\nAnswer: 357513.139972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 615965 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002351638 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/17 - 7163998*v\/17 - 50148084\/17.\nAnswer: 2*(v - 3582006)*(v + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/120105 and -109\/97369830.\nAnswer: 1655287110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1192661\/2730 - -5669\/13. Find the common denominator of c and -32\/21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 - t + 156. Let y be u(0). Let m be y\/(-8) + 3\/2. Let c be m\/(-40) - 3\/15. What is the third smallest value in -2, c, 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339555?\nAnswer: 3, 5, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -422. Suppose -120 = 4*f - a. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*w + 5*w. Solve -11 = 3*c - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 21. Let z be 2\/j + 110\/9. Suppose 0*k = 3*k - z. Solve 0 = -3*i - 3*a - 15, 0*i = i + k*a + 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 775872 divided by -864\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = 31. Suppose -11*u + m = -7*u. Solve 0 = -0*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(4055\/(-675) - -6). Let a = m - -304. What is the lowest common multiple of 2 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/5 + 222784*d**2\/5 + 4854293*d - 4898850 = 0.\nAnswer: -222675, -110, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 112*v + 16. Let w(x) = 37*x + 5. Give 5*n(t) - 16*w(t).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a*a**(4\/5)*a)\/((a\/(a*a**(-6)*a))\/a))\/(a**3\/(a**(3\/8)\/a*a)))**(-35))**33 assuming a is positive.\nAnswer: a**(16863\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/20 - 16\/2. Let t be -1 + 2 - (y - -9). Is 4 a factor of ((-12)\/(-20))\/(t\/35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4479 - 197 = -28*c. Let k = 186 + c. List the prime factors of k.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 899997 = -3*q, 4*q + 2*n = q - 900002. What is q rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1194 and 7158?\nAnswer: 1424442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9423.05399 + 9423. Round o to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.6722 years in decades?\nAnswer: 33.86722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -98, 673, -5.\nAnswer: -98, -5, 29, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 25\/24*a**4 + 0 + 2*a + 0*a**3 + 6*a**2. Let g(f) = 3*f. Determine g(w(q)).\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/7 + 2*q + 20\/7 = 0. Calculate q.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**5\/20 + k**4\/3 + k**3\/2 + 3*k**2 + k. Suppose -m - 2 = 0, -4*c = -3*c - 2*m. What is v(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by -143?\nAnswer: -25\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5541.7 - -5543. Which is the biggest value? (a) -16 (b) v (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12824 + 6 + -10)*8000. Round l to the nearest one million.\nAnswer: 103000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:33 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9732 divided by 12\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x**3 + 5. Let b(a) = 26*a**3 - 14. Suppose -17*v + 6*v = 121. Give v*y(n) - 4*b(n).\nAnswer: -5*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeiemmeeemimimme. What is prob of sequence mmi?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2172002 rounded to the nearest one thousand?\nAnswer: -2172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -7 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15463*s**4 - 5*s + 115*s**2 + 985 - 115*s**2 + 3096*s**3 + 15464*s**4 wrt s.\nAnswer: 12*s**2 + 18576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2136 - 1368. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3725 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rppp when four letters picked without replacement from ppprrpfrrrw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 smaller than 3769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**2 - 23*r**2 + 6*r**2.\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/618453 and -125\/882.\nAnswer: 60608394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let j be x(3). Put j, -3, -4 in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3721933*o + 4213758 with respect to o.\nAnswer: 3721933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3 = z. Is z - 12\/(-20) - (-6297)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 136, 245, 398, 595, 836?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/8)*p\/p**(-2\/7))**0)**21 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1976*i + 1929. What is the tens digit of q(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a gram in milligrams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24833 and 46778.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1012847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21157.2 rounded to the nearest 100?\nAnswer: 21200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28086 or -28091?\nAnswer: -28086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*x - 35 + 70, 2*x + 94 = 4*q. Solve -11*t = -q*t + 42 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001825158?\nAnswer: 2, 500912579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -161325*u - 4678443. Determine l(-29).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, -1, 29, 2\/3, 1\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -155, -315, -515, -749, -1011, -1295, -1595?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 56*b + 533. What are the prime factors of j(10)?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0187680523 to 6 decimal places.\nAnswer: -0.018768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -34. Let q = 69598685\/24 + -285841908671\/98568. Let y = -2\/1369 + q. Is y <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2)\/6 + (-132)\/(-99) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 41*h**2. Let d(a) = -3466*a**2 + 7*a + 2. What is d(o(w))?\nAnswer: -5826346*w**4 + 287*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 18 = 5*z, -8*z + 3*z - 2*t - 24 = 0. Let n be z\/(-2*(-3)\/615). Let s = -249 - n. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1477 - 30*k**3 + 3*k + 25*k + 1482 - 2957 to the form s*k**2 + j*k**3 + w*k + n and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -43. Suppose -3*o = -4*m + 71, r*m - 3*o = 7*m + 11. Calculate the least common multiple of 36 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -26 - 6?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.1. Let v = -3.2631 + 0.2631. What is the third smallest value in 3, m, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452601.3 micrometers in millimeters?\nAnswer: 452.6013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551453 (base 7) to base 6.\nAnswer: 4331550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6*l = l. Let o(j) = 2*j**3 - 2*j**2 - 1. Let d be o(2). Let h = 187 - 1687\/9. Which is the closest to l? (a) d (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**1)**(4\/3)*h**(-4\/5)*h**(8\/7) assuming h is positive.\nAnswer: h**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -241102 (base 5) to base 2\nAnswer: -10001011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 10:06 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-55))\/(((-6)\/70)\/1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-4)*(1824\/(-42))\/38. Let g(w) = -w**2 - 3*w + 2. Let f be g(2). Sort f, -2, a in descending order.\nAnswer: a, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.65 times -0.06?\nAnswer: -0.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(240))\/sqrt(10) - (-3*sqrt(3456) - sqrt(24)))\/(sqrt(392) + sqrt(392) + -6*(sqrt(392) - -1*sqrt(392)) + 5*sqrt(392)*-1).\nAnswer: -34*sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 334350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 32366 = -2*s - 32327, -s = -4*l - 7 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*r - 15989 - 6349 = 1043*r - 26*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387175921?\nAnswer: 11, 461, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, p: 2, m: 2}. Give prob of picking 2 x and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 - 20*w + 24. What is a(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-180)\/(-10) + 4\/2. Let o be 356\/h + 1\/5. Solve 4*q - 18 = -d, 3*q - d - o = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*q - 124*q - 83*q - 109*q + 379*q in the form i*q + g and give i.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6455, 12964, 19463, 25946, 32407, 38840?\n\"Answer: -u**3 + u**2 + 6513*u - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 a when four letters picked without replacement from {e: 3, u: 4, a: 4, c: 9}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 3, 70, 203, 426, 763, 1238?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (sqrt(187) + 2*sqrt(187) - sqrt(187))\/sqrt(11) - ((sqrt(153)*-1)**2 + sqrt(153)).\nAnswer: -153 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -2, -5, 1, -469 in decreasing order.\nAnswer: 1, -2, -5, -30, -469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*k + 31, -13*k - 710*o + 705*o = 64 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*1\/3*24735\/2391050?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -25. Let j(g) = g**3 - g**2 - 1. Let u(r) = 6*r**3 - 3*r**2 - 3. Let c(n) = -9*j(n) + u(n). Let p(k) = 3*k**3 - 5*k**2 - 5. Give i*c(m) + 6*p(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y**2 + y. Suppose -3*a - 193 = 2*t - 2*a, 5*a - 5 = 0. Let w = t - -98. Calculate f(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6842.874 centuries?\nAnswer: 684.2874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 812681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 0.4 (c) 12 (d) 0.1 (e) -5 (f) 0 (g) 39.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 + -1.5. Let t = x + -8.4. Suppose 0 = -2*m + m + 4*l - 8, -3*l + 23 = -5*m. What is the closest to 2\/9 in m, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10071 - 10071 - 66*d)*(-5 - 2 - 3*d + 4).\nAnswer: 198*d**2 + 198*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1278 - 913. Let s = -365.000103 + g. Round s to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f36381 (base 16) to base 15.\nAnswer: 1601216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70338.2ml to litres.\nAnswer: 70.3382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1071573 (base 10) to base 5.\nAnswer: -233242243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -14 (b) 0.5 (c) 2178\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + 0 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/8 + -4)*-8. Let o = 0.118 + -0.018. What is the nearest to o in -5, g, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (46\/8)\/((-1)\/(-4)). Let w(f) = 16*f + 174. Let o be w(-12). Let q = d + o. 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 prob of picking 2 j and 1 e when three letters picked without replacement from {j: 16, e: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343?\nAnswer: 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Let d = 3.428 - 0.428. Which is the closest to 0.1? (a) y (b) 6\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) -443 (d) -3 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/43, 2\/11, 3\/1673 in ascending order.\nAnswer: -2\/43, 3\/1673, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 8*r**2 - 8*r - 5. Let h be g(9). Suppose h*f - 45 = f. Let c = f + -12. Solve 2*b = -c*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -121, -489, -1073, -1873, -2889, -4121?\n\"Answer: -108*b**2 - 44*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 12. Let l be d(-5). Let o = 10077 + -10074. Suppose -b = -6*b + 10. Solve -o*a - l = -b*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/2 in 0.5, 14, -2, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 - 17*n**2. Let i be (-16)\/(-10) - (-4)\/10. Let d(r) = 2*r**i - 4*r**2 + r**2. Determine j(d(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973058 is divided by 797?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/9)\/(-1))\/((-77)\/(-132))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + -7)\/18*0\/2. Suppose -2*b + 17*b - 15750 = d. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1007.22024 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-4)\/(-3))*1. Let x be 2\/((1 - f)\/(-2)). Let j = -1\/18 + 11\/36. What is the third biggest value in 0, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*1 - (-1 - 2). Suppose 9*m - l*m = 18. What is the tens digit of (-9894)\/(-153) + (2\/m - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.6 in 7.91, -0.36, 0?\nAnswer: 7.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 176 - 30 - 8*l**3 - 4*l**2.\nAnswer: -8*l**3 - 4*l**2 + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z - 5. Let s be q(-1). Let c(x) = -x**3 + 10*x**2 + x + 15. What is the hundreds digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 2*d**2 + 2*d + 2. Let f be l(-2). Suppose 0 = -o - 360 - 40. Let v be o\/24 + 3\/(-9). Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 30 = 8*a. Suppose 2*l - a = 5*u, -4*u - u = 5*l - 15. Suppose -3*b + 1096 + 341 = u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*j - 108*j - 279. Solve 3*s - 8*s + 30 = -v, 0 = -s + j*v + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 5*a**2 - 5*a + 7. Let g(k) = k**3 - 3*k**2 + 3*k - 4. Let m(j) = 5*g(j) + 3*p(j). Let z(b) = 8*b**3 + b**2 - 5. Determine 6*m(f) + z(f).\nAnswer: 2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 183200 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356 divided by 2?\nAnswer: -678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j + 46. What is the least common multiple of t(2) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**8\/168 + 439*y**6\/120 + 1013*y**4\/24 - y**3\/3 + 1017*y**2. What is the second derivative of c(d) wrt d?\nAnswer: -40*d**3 + 2634*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 62*j**2 + 63*j + 282. Let o be p(20). Solve -o*u = -755*u - 52 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (-1 - 3 - -7) + 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 603 = -2*c - 591, 0 = g - 3*c + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/10 of a second in milliseconds?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -1356 (base 11) to base 7\nAnswer: -5055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 78\/14 + 1 + 16\/(-28). Is (-1 - (-7)\/i) + 1319\/6 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 43. Let b(r) = -2*r - 85. Let n(t) = -4*b(t) - 7*k(t). Does 5 divide n(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - 8*o + 3. Let y be x(12). Let z(i) = 0 + y*i**2 - 634*i**2 + 0. Let p(h) = -6*h. Calculate z(p(l)).\nAnswer: -252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166683616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 555*b**2 - 308 + 600 - 293 as x*b + q*b**2 + v and give q.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/76 and 31\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 522*j - 217870 = -1281*j - 1709*j + 119282 for j.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000124787 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-184)*(92\/(-69))\/(4\/(-8))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 193*p + 1161. Let f be y(-6). Let g = -138 + 201. Suppose -4*s - 3*c = -0*c - 48, -5*s = f*c - g. Calculate the greatest common factor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166 + 75. Let w = -153472724.999961 + 153472816. Let s = t + w. What is s rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, t: 4, s: 2, i: 5}. Give prob of sequence tss.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**4 + m**3 - m**3 + (34*m - 21*m + 18*m)*(0*m**2 + 0*m**2 - 2*m**2)*(-46*m + 104*m + 52*m) to s*m**4 + o*m**2 + t*m + c*m**3 + n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39664 is divided by 4406?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 12543 = s, -4*s - 5*w + 0*w + 50185 = 0. List the prime factors of s.\nAnswer: 5, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292 divided by -56.\nAnswer: 73\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 5*v - 20, v = -18*t + 16*t + 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -12\/5, -7\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 21498.35.\nAnswer: -2149.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -32, -32, -36, -44, -56, -72?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4959\/4 - 27253\/22. Find the common denominator of 31\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000974 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16124, -32287, -48438, -64571, -80680, -96759?\nAnswer: -112802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -46, -2, 4.\nAnswer: -46, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000750013 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5579 - 2356. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 + (-12 - -9) - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76 - -72 - (588\/50)\/(-3)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -6*l - 11*l. Calculate the remainder when 4 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**3 + 4*q**2 + q - 2. Let l(z) = 5*z**3 - 3*z**2 - z + 1. Let j(w) = -w - 8. Let u be j(-5). What is u*g(y) - 4*l(y)?\nAnswer: -2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 2 - (-2 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1289 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -u**6\/600 + 3*u**5\/50 - 9*u**4\/10 - 9*u**3 - 15. Let s(m) be the third derivative of h(m). Determine b, given that s(b) = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -43. Suppose k*h - x = 91, -2*h + 3*x + 85 = 4*x. Let p = 39 - h. Put p, 1, -2 in descending order.\nAnswer: 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m - 5. Let g(t) = 56*t + 121. Let y(p) = g(p) - 2*x(p). What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -349550 and -2.\nAnswer: 699100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 + z + 8. Let d be h(-8). Let l = 12 - 10. Suppose 5*s - 2*v = 34, -3*v = -s + 10 + l. Solve 3*n - s*n - 6 = d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -335007?\nAnswer: -335007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68453 - -102428. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 10) to base 6\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001503 rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, -5, -8 in decreasing order.\nAnswer: -5, -8, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -78 - -105 - (13 - 13 - (-1 + -5)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i - 123*i - 133*i - i**3 + 434*i - 126*i + 71*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 40300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9006)\/(-95))\/6 - (-1)\/5. Let b be (-64)\/(-6)*3\/(-2). Let x be l\/9 - b\/(-8). Sort -0.4, 2\/7, x in decreasing order.\nAnswer: 2\/7, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 294 = -10*q. Suppose 0 = w + 4*a - 40, a = 3*w - 19 - q. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 11513817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and -56.791.\nAnswer: -3748.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26549*-758\nAnswer: 20124142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35962322, -35962327, -35962332, -35962337, -35962342, -35962347?\n\"Answer: -5*n - 35962317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 3*z**2 + z + 5. Let k(c) = 3*c**2 - 5 - 2*c**2 + 4 - 2*c**2. Let p(m) = -4*k(m) - x(m). Determine r, given that p(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142 - 65. Factor -g*h - 75 - 80*h**2 - 50 - 123*h.\nAnswer: -5*(4*h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.40522mm in micrometers?\nAnswer: 16405.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 527 and 372.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, c: 1, s: 4, n: 4, k: 1, u: 1}. Give prob of picking 1 j, 1 s, and 1 c.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 + 149 + 2*p**3 + p**3 + 59.\nAnswer: 3*p**3 + 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -488167 - 0?\nAnswer: -488167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112012101 - -10?\nAnswer: 112012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 n when four letters picked without replacement from hnhhhnhnhhnhn?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + (9 - (53 - 33 - 13))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 9*g**2 + 8*g - 17. Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 205\/6. Suppose 3*f = -4*w - 2, -3*w + 4*f - 3 = 7*f. Put w, -0.3, g in decreasing order.\nAnswer: w, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p. Let k(u) = -10*u**2 - 45*u - 45. Let v(d) = d**2 + 4*d + 4. Let t(g) = -4*k(g) - 45*v(g). Calculate t(c(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -790 - -791.2. Let f = y - -135.7. Round f to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -43, 2\/7, 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.66 - -11.2. What is f rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170.9 + -41.1. Let g = m - -212. What is the nearest to g in 0, -3\/10, 5\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + 9 + 0 + 41 + (-103 - 36)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffbfbfbffff. What is prob of picking 2 b and 2 f?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/39 and 65\/9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j. Let b(n) be the first derivative of -1 + 2\/3*n**3 - n**2 + j*n. Find the second derivative of b(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lys. Give prob of picking 1 l and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xttgtkttktgmttkxt. What is prob of sequence gt?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from zjoyjjlzzl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -1\/4 (c) -27 (d) 1\/2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 - (38\/14 - -3) and 49\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11733 * 13.1.\nAnswer: -153702.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55051138, -55051137, -55051136, -55051135?\n\"Answer: z - 55051139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/94 in 1\/3, 5\/2, 0.4, -0.09, -11\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -2\/7, -0.2 in descending order.\nAnswer: 3, -0.2, -2\/7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 106052, -67, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 494?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 143\/3. Which is the second biggest value? (a) -4 (b) 7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11499 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(304) - (sqrt(304)*-2 - sqrt(304))).\nAnswer: -400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44085 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 23574.6.\nAnswer: 23566.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-625)\/30 - (-25)\/30. Let n(k) = k**2 + 18*k - 40. Calculate n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/8*-2 + 1. Suppose -k*t + 2*t + 4 = 0. Suppose -m - 3*s - 2 = 0, -t*s - 2 = 3*m - 2*m. Which is the closest to m? (a) -5 (b) 0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 2 + 15*n**3 - 24*n**3 + 13*n**3 in the form d*n**3 + a*n**2 + q*n + l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suufffuuwwusf. Give prob of picking 2 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 19, 15, 11, 7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - s - 5 = 0, 3*a + 42*s = 47*s + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - 3*a**3 + 86*a - 95*a to l*a**2 + c + u*a**3 + d*a and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*19\/7*(-1422)\/948 and -77\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**5 + 276*a**4 - 6420*a**3 + 60620*a**2 - 176616*a - 243936 = 0?\nAnswer: -1, 11, 12, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 7 + 31. What is the remainder when 23 is divided by (-1)\/(2*3\/(-72)) - h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12616 is divided by 140?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1512637\/33 + -45844. Let s = q - 20\/11. Find the common denominator of s and 36\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67161 (base 15) to base 8.\nAnswer: 1200013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 - 65264*x**2 + 1305880*x - 6530400 = 0 for x.\nAnswer: -32652, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 + 8*p**2 + 413*p - 6. Let v(r) = -4*r**3 + 5*r**2 + 275*r - 4. What is 5*q(a) - 8*v(a)?\nAnswer: -3*a**3 - 135*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 603577133 a multiple of 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.3. Let x = -29 + 36.4. Let c = 10.4 - x. What is the second smallest value in -1, 5, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 25 + 25)*(-2*y**2 + 0*y**2 + 3*y**2) + (1 - 3 + 0)*(4*y + 2*y - 4*y)*(-y - 4*y + y) in the form s*y**2 + u*y + l and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -4*k**3\/3 - 5*k**2\/2 + 3*k. Suppose -4*b + 0*b = -28. What is the remainder when p(-3) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -94, 2, 0 in descending order.\nAnswer: 2, 0, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -13. Calculate the highest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39.868 - 0.168. Let b = -0.3 - x. Let a = 42 + b. What is the closest to a in -1\/7, -1, -0.5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916506 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6388, -12779, -19170, -25561?\n\"Answer: -6391*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06298 and 275.\nAnswer: 17.3195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o**5 + 65262*o**4 + 116276680*o**3 + 154948536*o**2 + 51639840*o = 0 for o.\nAnswer: -1308, -2\/3, 0, 4935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1067\/430978 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 27\/36 + (-10)\/(-8). Solve 5*f - 1 = 2*i, 0*i - 8 = -3*i - t*f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3894973, 3894975, 3894977?\nAnswer: 3894979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 - 182. What is the smallest common multiple of t and 8?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 10:46 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2*q**5\/5 + 12*q**2 + 25. Find the second derivative of g(p) wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90639*b - 54360*b - 1092 + 1092.\nAnswer: -144999*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*d + 51*d. Suppose -2*i + 8 = -4*j, 4*i + 2*j - 5 - 1 = d. Solve i*s - 5*m + 13 = 0, -2 = -s - 2*m - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 + (-2 - (0 + 3)) + 41 + -138 + 89.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 10 = 10. Let l(g) = -g - 3. Let m be l(q). Let y(x) = -x**2 - x + 1. Let t(p) = -3*p**2 + 1. Let b(o) = m*t(o) - 4*y(o). Calculate b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -11\/189, -3\/5, -1916?\nAnswer: -11\/189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5851999\/(-7))\/1 + (-4)\/28. What is z rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57484 + 57483.48617. What is w rounded to 3 dps?\nAnswer: -0.514","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 37. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2136093 and -0.016.\nAnswer: 2136092.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1138*o + 8019. What is r(-7)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20601275527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 108*v - 81 - 7*v**5 - 23*v + 10*v**5 + 9*v**5. What is the first derivative of k(n) wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -334, -589, -844, -1099, -1354?\n\"Answer: -255*b - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.4472\nAnswer: 0.026832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(13) + sqrt(13)) + sqrt(117)\/(sqrt(27)\/sqrt(3)))**2 - (3*(sqrt(13) + sqrt(13)*1))**2*-3.\nAnswer: -12*sqrt(13) + 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 26, 52, 96, 164, 262?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.56, -3, -56 in ascending order.\nAnswer: -56, -3, 1.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*g = -18*g - 546 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191 minus 887857?\nAnswer: -889048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 1:47 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39249)\/(-162))\/(-49) - ((-42)\/216 - (-4)\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 + -3. Let h = -15 + 46\/3. Which is the closest to h? (a) -3\/7 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 - 3*t**2 + 2*t - 4. Let r be j(-3). Let k = r + -9. Suppose 2*b - 6*b + k = -2*c, b + c = 5. Solve 2*o + 2*o - 2*p = 10, o = -b*p - 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.060465 grams?\nAnswer: 8060465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*i - 4, i - 2 + 4 = 0. Put -1, -4, y in increasing order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 47485863 = -233377863. Round f to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -997*a + 10530?\nAnswer: -997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 558*x - 36324. Calculate k(108).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -2\/197 (c) -0.3 (d) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*m = 7*m - 6357, 5*s - 31785 = -2*m. Let t = -50763\/8 + s. Find the common denominator of -38 + 42 + (-22)\/(-9) and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t + 105*t - 1575 = -65*t for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 300 and -0.3?\nAnswer: 300.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*z**3 + z - 3*z + 54*z**3 - 4*z**2 wrt z?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 600 and 144?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -264*y + 1579. Give d(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*s + 49*s + 7 - 21*s to m + v*s and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33220336.\nAnswer: 2, 2076271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 + 6*i + 8. Let p be n(-8). Let l = -20 - p. Solve 10*j = 5*j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 365875*w + 250. Let c be a(-18). Round c to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71a1 (base 12) in base 14?\nAnswer: 470d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/15*(7 - 17))\/(-1). Suppose 2*f = 4*v - 10, j = v - 5*f + 3*f. Solve 0 + 4\/5*u**3 + 12\/5*u**v + 8\/5*u = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/13 (b) -1 (c) 0.4 (d) 1\/441 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**2 + 340*t + 336 = 0?\nAnswer: -84, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**5\/80 - l**4\/48 - l**3\/3 + 3*l**2\/2 - 15*l - 10. Let p(i) be the first derivative of x(i). Factor p(b).\nAnswer: (b - 2)**2*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.5129 litres to millilitres.\nAnswer: 92512.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223.684 millennia in years?\nAnswer: 6223684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*b - 72. Let u = -13 - b. Let s be -1*(1 - 0)*-1. Calculate the greatest common divisor of u and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2057 in ascending order.\nAnswer: -2057, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 0 + 28 + -22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-20))\/(-9)*-2*2*-12\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1053)\/54*4\/(-6) - 1. Sort 0, w, 6 in ascending order.\nAnswer: 0, 6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(4 - -1*(-5 - -2)). Solve 10 = -2*o + b, 0 = 4*o - 5*b - t*b + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*g = -4*i + 11, -4*g + 14 = 2*i. Let m be 9\/i*((-28)\/12 - -3). Suppose -2063 = m*w - 10063. Round w to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9878 - -9880. Let j(z) = z**2 - 2*z - 5. Let b be j(4). Solve -r + 11 = -b*s + 3, t*r = s + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/33022 and -95\/1736?\nAnswer: 28663096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 - -264?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g - 2. Calculate n(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1873 - 1268. Calculate the remainder when g is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2) - (-138)\/48) + (335 - 333).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:53 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*p, 15*u + 19 = 20*u - 3*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 3*w**2 + 0*w**3 - 13\/4*w**4 + 0*w - 4\/5*w**5 + 17. What is the second derivative of c(p) wrt p?\nAnswer: -48*p**2 - 78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*((sqrt(171) - (sqrt(171) - (-5*(sqrt(171) + sqrt(171)*-1 - sqrt(171)) - sqrt(171)))) + sqrt(171))\/sqrt(9))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**4\/4 - 2*j**3\/3 - 3*j**2\/2 - 2*j - 1. Suppose -3*d = d + 8. Is 10 a factor of u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*i + 6, 9*t - 7*t + 5*i - 4 = 0. Solve -t*c = -6*c + 20, -2*c + 14 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -15 - (-2 + -2)) + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/42 - 2*q**3\/7 + 12*q. Factor x(o).\nAnswer: -2*o*(o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-9 + -1 + 11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/68*2\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81695, 81719, 81759, 81815, 81887?\n\"Answer: 8*u**2 + 81687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -4 - -21 - -3) + (-45 - -56).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -73836.947 rounded to the nearest 1000?\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 8)*13\/(-3). What is the highest common divisor of c and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y = 89, -2*c + 0*c + 60 = y. What is the remainder when 340 is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 440, -29, -5, -4, 13, 3 in decreasing order.\nAnswer: 440, 13, 3, -4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s - 1. Let h(k) = 1. Calculate 4*h(z) + m(z).\nAnswer: -13*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1307465000 to the nearest one million.\nAnswer: 1307000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -1211?\nAnswer: -10\/1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -14311978?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 830490343 and -2.\nAnswer: 830490341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 271512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 184528266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/10788 and -25\/108531.\nAnswer: 12589596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {w: 1, l: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 2*p**2 - p + 1. Let h(d) = -d**2 + d + 1. Determine -f(g) + h(g).\nAnswer: -g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2))**14*(b**2)**(-49\/3) assuming b is positive.\nAnswer: b**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 1, n: 4}. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/1853 and -27\/986.\nAnswer: 107474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4094*b + 4090*b - 22, 4*l + 24 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**3 + o**2. Let r = 393 - 394. Let n be p(r). Solve -4*b + 0*d + 5 = 3*d, n*d = b + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 + 15758637*c + 20*c**2 + 15758635*c - 31517272*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8862 years to centuries.\nAnswer: 0.018862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115628 is divided by 318?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30699*i**4 + 21434*i.\nAnswer: 368388*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -10 - (-24 + 12).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/(-9)*9\/6. Let b = 5 + -3. Suppose k = b*q - 0*q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = z - 1, 0 = -3*z + 3*m - 15. Let k(f) = -f**2 - 4*f. Let o be k(z). What is the greatest common divisor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158\/22 + 164\/(-902)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:16 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.209138mg?\nAnswer: 0.001209138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 50805?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.31815 from 3535332793.\nAnswer: 3535332789.68185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*g**2 - 55*g*j**3*l + 3*g*j**2*l + j**3 - 7*j**2*l - 39*j*l - 8*j wrt g?\nAnswer: 10*g - 55*j**3*l + 3*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -16*z**4 + 2*z**3 - 1572*z - 937. Find the first derivative of q(v) wrt v.\nAnswer: -192*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7.5. What is the second biggest value in y, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 5*o**4\/24 + 2*o**3\/3 - o**2. Suppose -4*i - 4*g + 0*g + 24 = 0, -27 = -2*i + g. Is n(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-10) + (-4)\/(-10). Let p = o - -1. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(sqrt(304)*-2 + sqrt(304))**2 - (1*sqrt(304)*3 + (sqrt(304)*2*3)**2).\nAnswer: -10336 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 8. Let q(v) = -v**3 - 17*v**2 - 16*v + 2. Let c be q(i). Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 + 3*b**2 + 837.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162534977?\nAnswer: 11, 17, 47, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*o + 15. Suppose 10*l - o = 5*l. Suppose l*q + n + 0*n - 90 = 0, n = -2. Is q 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) -0.569 (b) 5\/2 (c) -1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -610 + 615. Suppose z*f + w = 2199, 3*f = 3*w + 58 + 1265. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 3\/7, 5, -1\/9, -2\/15, 4.45?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2060 or 1?\nAnswer: -2060","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17570?\nAnswer: 2, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*o + 23, -h + 4*o + 26 = 5. Let g(b) = 9*b**3 + 31*b**2 + 75*b + 49. Let j(i) = -i**3 + i**2 - 1. Let x(d) = h*g(d) + 4*j(d). Factor x(v).\nAnswer: 5*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -67. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 54 + 1 - 2.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17994, -18134, -18274, -18414, -18554?\n\"Answer: -140*q - 17854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 796299983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 480 - 239 + 326*q**2 - 240 in the form u + g*q**2 + y*q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227851177 + 407471177. Round n to the nearest 1000000.\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 141, 215, 305, 417?\n\"Answer: m**3 - m**2 + 60*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 47?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:44 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126657 is divided by 745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.065486 to 3 decimal places.\nAnswer: 1.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 1609 + 295. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 = -18. Suppose -15 + 3 = -b*n. Solve -4*t - n = 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j, 2*a - 301947 = -j - 35561. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 8*x - 11. Let f be k(-6). Let r(i) = -7*i**2 + 7*i - 8. Let w be r(f). Let p = w + 14. Calculate the smallest common multiple of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 29*l - 251. Let g be z(7). Suppose k = 2*f - 1 + 7, 2*k + 6 = -2*f. Put g, -5, k in ascending order.\nAnswer: -5, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17 + m**2 - 2*m**2 - 21 - 4*m - 4*m + 34. Suppose 0 = -0*h + h + 5*s + 33, -3*h - 14 = -2*s. Give b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9)*(-216)\/(-720))\/(492\/(-40))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1476035862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -217*q**2 - 96*q - 5. Let r(j) = j**2. Determine z(r(i)).\nAnswer: -217*i**4 - 96*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.6? (a) -2\/5 (b) 29\/9 (c) 1 (d) 0.5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 560*h**2 - 1800 - 238*h - 256*h**2 + 1148*h - 309*h**2.\nAnswer: -5*(h - 180)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 - 7*x**2 + 318 - 159 - 6*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c = -12. What is d in 0*d**3 + 24*d**2 + 13*d - 2*d + 10*d + c*d**3 = 0?\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -9 - 2 - (1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 - -26. Let i = 25.6 + x. Which is the closest to -2? (a) -2 (b) -4\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**3 + 380*h**2 - 9545*h + 79350 = 0?\nAnswer: 23, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 3 (c) -53\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 56388*k**2 - 56404*k + 16 = 0. What is k?\nAnswer: 4\/14097, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -58*m**2 - 2 + 117*m**2 - 9*m - 57*m**2. What is s(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3270 + 3273 + 49*q - 15*q.\nAnswer: 34*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) -10 (c) -0.1 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*y + 724 + 68 = -327*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/4 - (-2 + 1 - -1). Let w be 8\/2*2*b. Let y = 201 - w. What are the prime factors of y?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/34 and -28\/969?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -77383, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*a - 10 - 8 = 0, -7 = -t + 2*a. Is 0 + (-2 - t*21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62254 + 5*w + 62254.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18058614 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = 6*n + 384. Let i be 46\/3 + 56\/n + 2. Suppose 83 = 5*s - 2*x, 0*s + x = 4*s - 67. Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -490 * 576\nAnswer: -282240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:14 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 5. What is the greatest common factor of z and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 17 = 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 3*u. Let c be o(-3). Let w(p) = -p**3 + p**2 + 77. Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/7)*w**13 assuming w is positive.\nAnswer: w**(96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/24 and 6\/9 + 62\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224873013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m = 145. Let f be (-1385)\/88*m\/5. Let d = 699\/8 + f. Calculate the common denominator of d and 34\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 82 - 440. Let v be 6\/(-4)*116\/k. Find c such that 1\/2*c**3 + 0 + 0*c - c**v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5 + 2*i**2 - 7*i**3 - 4 - 3*i**2. Let f be m(1). Let g = 12 + f. Solve -20 = 2*o - g*o + h, 3*h = 4*o - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, 1, -0.044, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1599 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 2*r = 32*d + 15*d + 13*d + 6, -3*r = 5*d - 44 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*r = -3, 5*y = 4*r - 5*r + 48. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2166.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2293832653?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3781*x. Let c(m) = 6*m**2. Give c(j(t)).\nAnswer: 85775766*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 86 - 59*b - 43 - 44*b + 44 wrt b?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (444\/74)\/(4 + (-26)\/8) - 11\/(-4). Find l, given that h*l - 5\/4*l**4 + 39\/4*l**2 - 19\/4*l**3 - 5\/2 = 0.\nAnswer: -5, -1, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1289*s = -1290*s - 9 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/53020107 and 29\/42728?\nAnswer: 424160856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -885 + 886. Solve -14*c + f = -13*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211 divided by -19?\nAnswer: -1211\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, h: 1, f: 1, d: 1, i: 6}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7331486*a**2 - 176*a + 5306?\nAnswer: 14662972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -598413 in -0.5, -1, 2, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -22.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201 + 0?\nAnswer: 12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2328 and 8376726?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) 1 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/((-21)\/(-18)*(-5)\/70)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - (-1454)\/8)*88\/33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.081 and 0.3?\nAnswer: 3.9243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228027149.\nAnswer: 7, 32575307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*u = -3386 - 4986, 0 = -5*q + 5*u + 10500. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3343434 to the nearest integer?\nAnswer: 1829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -15*d + 9*d - 4 + d**2 + 11*d. Let g(b) = b**3 + 4*b**2 + b - 1. Let l be g(-2). Suppose 0*o - o = l. What is y(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, b: 3, f: 2, p: 1, x: 8}. Give prob of sequence bxcp.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 20*f - 82 = 0. Let b = 41 + f. Solve b*k - 24 = -6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (5 + 6 + 19)*(2 - 5 + 5))*(-2 + 2 + j).\nAnswer: 58*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Let y = c + 2. Suppose 1 + y = h. What is the greatest common factor of h and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + 172?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 + 534. Let z be 0\/n*(-12)\/(-24). Solve z*s = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - b**2 + b**3)*(0*b - b - b)*(-589 + 940 + 398) to the form n*b**3 + m*b + c + u*b**4 + x*b**2 and give u.\nAnswer: -1498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5327581 divided by -4.\nAnswer: 5327581\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3 = 13*g - 18*g, 2 = -2*g + 2*n for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56871 and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((8\/5)\/(-4))\/(1\/(-15)). Let i be h\/(7\/((-210)\/4)). Let p be (2 + i\/10)\/(2\/4). Sort -2, 3, p in decreasing order.\nAnswer: 3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and (-1 - -11) + (2 - 4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 39*j**4 - 92124*j**3 - 539628*j**2 - 653616*j + 113664 = 0.\nAnswer: -4, -2, 2\/13, 2368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10.57, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 1. Let p(h) = -3*h**2 + h. Suppose -2*k - 2*o - 10 = k, -4 = -k + 3*o. Suppose -5*q = f - 26, -2*f - 3*q + 9 + 8 = 0. Give f*p(a) + k*l(a).\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 7, -0.07, -1\/4, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 2*r**2 - 2*r - 5. Let g be k(3). Let n = -2 + 1. Let j(x) = x**2 - x. Let s(o) = -1. Determine g*s(u) + n*j(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 7:05 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o*o*o**(1\/6)\/o*o)\/(o**(2\/7))**(1\/10) assuming o is positive.\nAnswer: o**(2549\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**5 - 145*c + 0*c**3 - 61*c**2 - 223\/30*c**6 + 0*c**4 + 0. Differentiate p(f) with respect to f.\nAnswer: -892*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 22. Let f(m) be the first derivative of m**5\/60 - m**4\/4 - 7*m**2\/2 + 8. Let d(n) be the second derivative of f(n). Give d(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -479*z**3 - 12*z**2 - 828*z + 10. Let g(d) = -480*d**3 - 10*d**2 - 826*d + 9. Let h(w) = 5*f(w) - 6*g(w). Find the second derivative of h(o) wrt o.\nAnswer: 2910*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 61, -2\/13, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 13*f - 402. Find the third derivative of 63*h**5 + 2*h**4 - 5*h**2 - 122*h**5 + f*h**5 wrt h.\nAnswer: 480*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 38*h**2 + 70*h - 17*h - 53*h. Let f(w) = -3 - 5 + 8 + 2*w. Calculate f(d(r)).\nAnswer: 76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 22 = -22. Suppose -7 - 1 = 2*y. What is the remainder when (y\/(-6))\/(4\/258) is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + h - 16182 = 0. Suppose 10*z - h - 30013 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gduu when four letters picked without replacement from {y: 1, b: 1, u: 2, d: 3, g: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1124*p**3 - 2*p - 27657.\nAnswer: 6744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000111 + 100010010010100110?\nAnswer: 100010010001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178604 + -120057. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0317 - 0.4043\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -299*h - 9. Let f = -1 + 8. Suppose 0 = -f*j + 10*j + 6. Is g(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -3\/5, 0.2, -3\/8, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -r - 0*k, -5*r = -5*k - 40. Suppose -3*d + 1350 = 2*u + u, 3*u = r. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 213*z**2 + 3*z - 112*z**2 - z**3 - 17*z**4 - 100*z**2 as t*z**3 + j + b*z**2 + c*z + y*z**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcll when four letters picked without replacement from {c: 7, l: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-30)*(-2)\/(-8) - 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5 - 7989*g**4 + 32043*g**3 + 104001*g**2 - 32040*g - 96012 = 0. What is g?\nAnswer: -2667, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 108, 167, 180, 147, 68, -57?\n\"Answer: -23*j**2 + 128*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and 56\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10) + (-3)\/(-15). Let v = -21.16 + 19.16. Put -2\/17, v, -0.05, p in descending order.\nAnswer: p, -0.05, -2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 611593435 to the nearest integer?\nAnswer: 24730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187339382 to the nearest integer?\nAnswer: 13687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + 13*u**4 + 2*u - 2*u**2 + 17*u**2 - 17*u**2 + 2 in the form f*u**2 + m*u + i*u**3 + z + d*u**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 210*l**2 + 1167*l - 960.\nAnswer: 3*(l - 64)*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9312 (b) -1.31 (c) 1 (d) -64 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-33))\/((1035\/(-198))\/23). Let n be 2 + (-3)\/((-3)\/(-2)). Which is the closest to n? (a) 0 (b) f (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2651\/4 - -657. Let j = -4246\/1251 - 7\/139. Find the common denominator of h and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -139*t**3\/3 - 284*t. Let p(y) = -2*y**2 + 288*y - 288*y. What is d(p(g))?\nAnswer: 556*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 331*n - 23968.\nAnswer: -(n + 107)*(n + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*t + 320 = 433*t. Let b = 359 + -215. Suppose 4*y - b = -4*x, -3*y + 68 = 2*x - 2*y. Calculate the greatest common divisor of x and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54185 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 + -57. Suppose k - g - 67 = -4*s, 5*s + 240 = 2*k. What is the highest common factor of k and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/174524 and -127\/6504.\nAnswer: 1047144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*l + 3*l - 33, 0 = -m + 4*l + 48. Suppose -3*j = -0*j - m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51521 - 566727\/11. Factor 0*b**3 + 2\/11 - n*b**2 + 2\/11*b**4 + 0*b.\nAnswer: 2*(b - 1)**2*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -20. Let r = v + 2. What is the third biggest value in 1\/2, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 150*r + 4. Let c(y) = -224*y - 3. Let s(p) = -2*c(p) - 3*w(p). Let z(a) = -6*a**2. Calculate s(z(v)).\nAnswer: 12*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*c - 3 + 10, -5*o = 5. Let a(n) = 3*n - 9. Let k(i) = -i + 4. Let x(h) = 2*a(h) + 5*k(h). Let m be x(c). Solve -s - m*s = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160727, -321421, -482129, -642857, -803611?\nAnswer: -964397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466 = -123*s + 220 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/((-2)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73 - 136772?\nAnswer: -1366bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395458637 - 1.\nAnswer: -395458638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 10*s**5 + 168*s**4 + 3378*s**3\/5 - 524*s**2 - 12264*s\/5 - 7056\/5 = 0.\nAnswer: -42\/5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3841 times -0.07?\nAnswer: -0.026887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -156, -309, -736, -1575, -2964, -5041?\n\"Answer: -23*r**3 + r**2 + 5*r - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 14*i - 20*i. Let s(t) = 8*t**2 - 4*t - 76. Let q(m) = -m**2 + m + 19. Let z(d) = -4*q(d) - s(d). Determine k(z(y)).\nAnswer: 144*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 + 1419*z**4 + 169905*z**3 + 497025*z**2.\nAnswer: 3*z**2*(z + 3)*(z + 235)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 - -2703649.419.\nAnswer: 2703627.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/3 - 98\/15. Which is the nearest to -0.1? (a) 6 (b) o (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6286 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 2*u, -5*i + 5*u = 30. Let b = i - -12. Calculate the common denominator of 21\/11 and (-5 - 18)*(-1)\/b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -612*b**5*y**3 + 11*b**3*y**3 - 177*b**2*y + 3*b**2 + 3*y**3 - 2 wrt b.\nAnswer: -36720*b**2*y**3 + 66*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y + 1. Let v(l) = l**3 - 4*l**2 + 19*l + 3. Calculate 5*b(p) - v(p).\nAnswer: -p**3 - p**2 - 24*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*o**(1\/4)*o)*o)\/(o*(((o*(o*o**10)\/o)\/o)\/o*o)\/o)*o**(4\/9)*o*o\/((o*o**12\/o)\/o)*o assuming o is positive.\nAnswer: o**(-713\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c + 76*c - 308 = -62*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 6:06 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 523 - -335003?\nAnswer: 335526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(sqrt(432) + -3) + 5*sqrt(432)*-1 + 3 + -3))**2.\nAnswer: -1008*sqrt(3) + 21204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 49 (c) 0 (d) 2\/11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/9476 and -29\/17273.\nAnswer: 7116476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v)*(-2 + 1 - 1)*(v + 2*v - 5 - v).\nAnswer: 8*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394385919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 25456 - 5007 + 10904 + 4461 to the form c*d + k and give k.\nAnswer: -15098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 39 (b) 3\/10 (c) -4\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19.5. Let j = 1.1 + -1.12. Which is the second biggest value? (a) g (b) 0 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 11127916.7\nAnswer: 44511666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 3*w + 33, 5*j = -3*w + 7*w + 1. Calculate the remainder when 280 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -24. Suppose 0 = 5*l - 5*p - 70, -4*l + 9*l - 30 = -5*p. Does q = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 3516?\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 25234907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17074196 is divided by 835.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56\/(-70)*-5*1. Let j be p + 51*1\/6*4. Solve j*b = 43*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64066.86 - -0.111617.\nAnswer: 64066.971617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 29*f = 10*f. Suppose 172*t - 174*t + 58 = f. Sort -3, -2, t, -5 in decreasing order.\nAnswer: t, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474303.7 less than 2.14?\nAnswer: 474305.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*2\/(17\/((-187)\/33))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 2, r: 1, n: 1, e: 1, b: 2}. What is prob of sequence mbe?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7037*k**2 + 15*k. Let o(g) = -59815*g**2 + 126*g. Calculate -5*o(f) + 42*z(f).\nAnswer: 3521*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*h + 4, -h = -152*d + 154*d - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -24, 3, -3, -7 in descending order.\nAnswer: 4, 3, -1, -3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 279331598, 279331597, 279331596, 279331595?\n\"Answer: -a + 279331599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2. Let v(m) = -150*m - 24. Let l(a) = -6450*a - 1040. Let k(f) = -6*l(f) + 260*v(f). Determine k(p(d)).\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 11 = 3*c, -75 = 5*m - 50. Let l(z) = 26*z - 35. Let f(p) = 9*p - 12. Let t(h) = -11*f(h) + 4*l(h). Calculate t(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5943 * -61.\nAnswer: -362523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-531 + (-432782)\/(-798))\/((-1 - -2)\/(3\/2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3776*x - 55. What is the thousands digit of a(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o - 5*z, 3*z - 4*z + 30 = 4*o. Calculate the greatest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4539089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + -48 + 28 + 132?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.33997 kilograms to nanograms.\nAnswer: 18339970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - i + 466 = 5*d, 2*d - 192 = i. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 12667 = 3*r, r + 4*l = -0*l + 4227. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = 120*p - 117 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157.802 - 0.198. Let g = -8805.7654617 - -8963.76547. Let z = k + g. What is z rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -26*1 - 2611050\/(-80925). Is l equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1083 + -435. Let o = -1451.1 - i. Let p = o + -67. What is the nearest to 1 in 1\/4, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 139. Suppose 0 = -13*r + g + 28. Solve -r = -4*c + 6, -3*b + 24 = 4*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*n + 1585 = -326*n - 386. Solve n = -19*m - 68 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 - -1545ba?\nAnswer: 15460b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(192) - ((-1 + sqrt(192) + -5)**2 - sqrt(192))) + sqrt(192)) + 1.\nAnswer: -720*sqrt(3) + 1369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 2\/9, 23\/2, -167 in decreasing order.\nAnswer: 23\/2, 2\/9, 2\/15, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*h - 10. Let p(o) = 4*o**3 + 2*o - 2. Let x be p(h). Sort 1, x, -5 in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370560 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 19*h + 80 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 295554284 and 36?\nAnswer: 2659988556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**4 - 14728775*r + 9*r**3 - 2*r**4 + 14728777*r to the form b*r**3 + l + n*r**2 + i*r + m*r**4 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 - -1 - (8 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*f = -342016, -49*y + 38*y + 940532 = -5*f. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 23 - 3. What is the remainder when 187 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*u = -8 - 14, k - 2*u = 13. Let q = -42 + 43. Calculate the greatest common factor of q and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 20. Let n be b(0). Suppose -6*w + w = -n. Let h(j) = 3*j**2 - 5*j - 3. Is h(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(125) + sqrt(176)*-1 - (-2*(sqrt(396) + -2 + sqrt(396)) + 4).\nAnswer: -8 + 101*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - -7) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-2 - -7 - 2)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sau when three letters picked without replacement from {s: 8, u: 1, a: 8}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -466 - 7435a5?\nAnswer: -743a60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 8*i**2 + 7*i + 8. Let t be v(-7). Suppose 4*l + 0*l - t = 0. What is the biggest value in -1, l, -0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 2, f: 1, g: 1, n: 5}. Give prob of sequence xxp.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -39*x**3 + 8*x**2 + 11*x + 3. Let b(g) = 13*g**3 - 3*g**2 - 4*g - 1. Let i(j) = -11*b(j) - 4*r(j). What is the units digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815604421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + -0.12. Let s = b + -0.03. Which is smaller: 0.08 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1740\/(-45)*(-3)\/(-4)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333.5 - -334. Put -1, 2, r in descending order.\nAnswer: 2, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13 and 59\/8024553.\nAnswer: 8024553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(3\/(-3))\/4*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55605 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28230 = -6*h + 276. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 0.7. Let w = 17 + -14. What is the second smallest value in 1, i, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let a(j) = 8*j**4 - 9*j. Let g(i) = a(i) - 6*r(i). Find the second derivative of g(b) wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(72)\/sqrt(4))**2 - (sqrt(648) + 0)**2) + (0 + sqrt(162) - sqrt(2) - sqrt(12)\/sqrt(96))*-1.\nAnswer: -632 - 31*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3 - 2*-1). Let o = -758 - -763. What is the third smallest value in l, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 + 7 - 2)*(1407 - 1407 + 2*t) to the form a*t + f and give a.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193 or 214?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 207*k**4 + 5 + 3*k - 200*k**4 in the form i*k**3 + n*k**2 + x*k + t + g*k**4 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2. Suppose -5*d + 0*l + 10 = l, 3*d = 3*l + 24. Let x(t) be the second derivative of 1\/3*t**4 - t - 1\/2*t**2 + 0*t**3 + 0. Give d*q(j) - 2*x(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * -48921.\nAnswer: 112518.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 43. Let n = i - 129. Let l = -65 - n. Put l, 0.5, 0.1, 7 in increasing order.\nAnswer: l, 0.1, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.09 (b) -3.9 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*r - 50. Suppose -2*n = -7*n + r. Calculate the least common multiple of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 17 = c + 4*z, 4*z - 13 = -c. Suppose -3*k + c*k - 24 = 0. Let a be (-1)\/2 - (-169)\/2. What is the greatest common divisor of k and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 - 6*u + 8. Let s(t) = -t**2 + t - 1. Let g(x) = -p(x) - 6*s(x). Let b be g(2). Find the second derivative of l - l**4 - b*l + 2*l**4 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:28 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -44357.3?\nAnswer: 22178.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 32*q**2 - 44*q - 11. Let o(u) = -15*u**2 + 21*u + 5. Determine -6*n(s) - 13*o(s).\nAnswer: 3*s**2 - 9*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + ((-30)\/(-4) - (-19)\/(-38)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 607 - -487. Let h = -573 + z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vssvsssvsvsvv. What is prob of sequence sv?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + 3*2*sqrt(171)))**2*3.\nAnswer: 3888*sqrt(19) + 664956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 103410 = -5*n, 4*n - 7*y + 3*y = 82744. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146201 is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*m**2 - 2*m**3 + 19 + 293*m**2 - 148*m**2 to r*m + a*m**2 + u*m**3 + y and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2554454.\nAnswer: -2\/1277227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28 - -30)*1\/((-4)\/10). Which is the closest to -62? (a) l (b) -0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*w + 3 = 2*o - 181*w, 0 = 4*w + 4. Let i(y) be the third derivative of 0*y - 2*y**o + 1\/3*y**3 + 1\/120*y**5 + 0 + 1\/12*y**4. Factor i(z).\nAnswer: (z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14 + 0 - (-372)\/2821\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**2 + 5. Let z(j) = 1 + 5*j**2 - 1 - 3 - 13*j**2. Determine -3*w(b) - 5*z(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 6118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/102 and -55\/16.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**3 - 4*r**2 - 35*r + 8. Let f(m) = 6*m**3 - 2*m**2 - 23*m + 5. Determine -8*f(a) + 5*v(a).\nAnswer: -3*a**3 - 4*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -10128 and -2.\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 13. Let s = -7 - -11. Suppose s*c + 35 = 107. Let w be b(c). Solve 5*p - 7*j = -2*j + 25, 0 = w*j + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 39, -293, -779, -1431, -2261?\nAnswer: -3281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.44 and 0.38?\nAnswer: -0.9272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1)\/(1\/7). Suppose 4*y - h*y - 3*f = -99, f = -5. Solve 5*r - 13 = -y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = q, -b = -3*q - 2*b. Let n be (12 - (q - -5)) + -2 + -1. Suppose u - 4*m = 38, 0 = -2*u - n*m + m + 98. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((42 + -17)\/(-25))\/(3\/(-12)*1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -49*p**2 - 48*p - 17. Give j(2).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*((sqrt(50) - sqrt(800))*-3 + sqrt(50)))\/(sqrt(640) - 5*(-2*sqrt(640) + sqrt(640))).\nAnswer: 25*sqrt(5)\/24 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 609 - 613. Let f(b) = b**3 + b**2 + b + 1. What is f(m)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1372 = 4*i. Let j = i + -285. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/12000 and -181\/160500?\nAnswer: 1284000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 6*s**2 - 6*s + 24. Let l be v(-7). What is the greatest common divisor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116882 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5*2\/((-12)\/(-24)*-12).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-706)\/(-1)*(20\/4 - 0). Suppose -3*u - 2*a + 1910 = 0, 2*a - 368 = 5*u - f. Suppose -2*v + u = -0*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 4456173*p + 4456176.\nAnswer: -3*(p - 1485392)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -2\/5 (b) 2\/7 (c) 4\/9 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 622.36 + 13.64. Let t = -635.918 + j. Round t to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 7361.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 at most as big as 33111\/142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9393, 9937, 10481, 11025, 11569, 12113?\nAnswer: 12657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*x + 24. Let r(s) = -s**3 + 5*s**2 - 15*s - 125. What is the tens digit of r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 5*a + 2*c - 24, c + 3*c = 0. Solve 10*b + a*b = 48 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1655 and -0.1.\nAnswer: 1654.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 1. Let c(w) = -3*w - 3. Let v(m) = -3*c(m) + 8*s(m). Let n(k) = -k - 3. What is n(i) + 4*v(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 10733, 36486, 86507, 168854, 291585, 462758, 690431?\nAnswer: 982662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**3 + 3*w**3 - 2*w**3)*(24 + 18 + 52) to the form d*w**3 + n + f*w + x*w**2 and give d.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r - 4*r - r)*(0 - 2 + 0) + 44*r - 15*r + 97*r in the form b*r + v and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 9:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 1 - (3 + -45)\/6. Put -3, o, 0 in decreasing order.\nAnswer: o, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(102)*-1 - sqrt(102)) - (sqrt(102) + -6*-1*sqrt(102)))\/((sqrt(360)\/(-1*sqrt(12)))\/sqrt(5)))**2.\nAnswer: 6134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/160 + (2 - (-835)\/(-50))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 14 = 278. What is the remainder when (4 - 1925\/(-10))*2 is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9463 - 19123. What is j rounded to the nearest 100?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (6\/(-9) + 16930\/(-12))*10\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**2*u**6 + 545*d**2*u**2 + 13*u**5 wrt u?\nAnswer: -600*d**2*u**3 + 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 1584*v**2 + 6560*v**2 - 450*v**2 + 0*v.\nAnswer: 7694*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 3*x - 2*x - 18*x + x + 28*x + (6 - 2 - 3)*(-4*x + x + 4*x) + 18*x - 22*x - 41*x to t + b*x and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 2*s. Suppose -z - 9 = -4*z. Let c be s\/(-1)*(-48)\/z. Solve 5*l + w - c = 0, -4 = -l - 4*l - 4*w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -44*k**2 - 93*k - 11. Let b(z) = 15*z**2 + 31*z + 4. Let n(a) = 11*b(a) + 4*t(a). Find the second derivative of n(g) wrt g.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 - 0.84. Which is smaller: k or -4\/33?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 + 6302*f\/5 + 9928801\/5.\nAnswer: (f + 3151)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9*f - 1. Let x be v(3). Suppose -4*w + 3*w + 13 = 2*q, -2*w = -3*q - x. Calculate the greatest common factor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -43 - -31 - 35.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 divided by 64953?\nAnswer: -71\/64953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {z: 3, i: 6, f: 2, x: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u + 4. Let x(m) = -m + 1. Let p = 6710 + -6712. Give p*x(q) + c(q).\nAnswer: -10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - 10*5*-1. Suppose -18*k + 13*k - u = -130, 5*k - 105 = 4*u. What is the highest common factor of k and r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1650, 3307, 4968, 6633, 8302, 9975, 11652?\nAnswer: 13333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*c - 91, -5*c + 7*c = u - 46. What is the highest common factor of 372 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f - 2*f**2 + 0*f + 0*f**2 - 4*f**2 + 6*f**2 + (-5 + 2 + 2)*(4 - 4 - 2*f**2) + (-5*f + 5*f - 2*f)*(0*f - 2*f + 4*f) - 2*f**2 + 4 - 4.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15753, 31483, 47189, 62865, 78505, 94103, 109653, 125149?\nAnswer: 140585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 58*q**2 + 121*q - 2648. What is h(-55)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -28*u + 439. Give j(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28987, 28984, 28983, 28984, 28987, 28992?\nAnswer: 28999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 12*y - 21*y - y**2 + 5*y - 3 + 6*y. Suppose 3*j = 4 - 1, 0 = 2*a - 4*j - 8. What is l(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34567 at least 34524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -923 - 20*u**2 + 923.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -21*m**2 + 360*m + 14. Let o be c(17). What is the second biggest value in 0, -0.4, -0.5, -2, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817429.\nAnswer: 281, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005066520422 rounded to five decimal places?\nAnswer: -0.00507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -119*m + 1783. Let i be s(15). Let j be 100\/(-36) - 4\/18. Let d be -1 - (j + 12\/4). What is the nearest to 0 in d, i, 1.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-3))\/(-4 - -2). Let w(x) be the third derivative of x**4\/12 + x**3 + 13*x**2. Let p be w(-2). Which is the biggest value? (a) p (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 47*h**2\/3 + 101*h\/3 - 49.\nAnswer: -(h - 49)*(h - 1)*(h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25789.16621 take away -46933?\nAnswer: 21143.83379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/((-4)\/6). What is the units digit of (m - -1)\/((-2)\/148)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -290 + 290. Which is the nearest to o? (a) -0.5 (b) 5 (c) -1 (d) 1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/78391 and 16\/46129?\nAnswer: 12777733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*w + 8 = 156*w + 5*n, -5*w - 133 = 6*n for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 4:12 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 1. Let l(j) be the second derivative of 11*j**4\/6 + j**3\/3 - 6*j**2 - 11107*j. What is 12*i(q) + l(q)?\nAnswer: 34*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -16*l + 19*l. Suppose -2*c - l = -c. What are the prime factors of ((-3)\/(-6))\/((-1)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7608)\/18*105\/(-20)?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 82*l**2 + 8*l - 1. Is q(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91814885757\/1114 - 82419072. Let b = z + -1\/557. Calculate the common denominator of b and -57\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + (0 - -1) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029 times -0.17738?\nAnswer: 182.52402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47941\/8 - 6000. Find the common denominator of s and -41\/140.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -138696621307 and 0.3.\nAnswer: -138696621306.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -18398*i**4 + 18433*i**4 + 9*i**2 + i - 5*i**2 + 1 as h*i**4 + q*i + u*i**2 + p*i**3 + f and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c - c + 5*c)*(-28 + 119 + 8)*(-c + 2*c + c) as w*c**2 + t*c + b and give w.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 19934328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -71. What is the remainder when 89 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 222*s**2 - 7*s + 1479. Give f(222).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3015, 3036, 3061, 3090, 3123, 3160, 3201?\n\"Answer: 2*q**2 + 15*q + 2998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 281 + -279. Put 0, i, 4, -5 in increasing order.\nAnswer: -5, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/5)\/((-200)\/(-2000)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 936.22 - 926. Let a = w - 10. Let y = 0.48 + a. What is the closest to 0 in 3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 8 = 32 - 110 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1506336?\nAnswer: -1506336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 0.386, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from dvdqv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.0137877681586 - -565\nAnswer: 565.0137877681586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 324707 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 + 72. Suppose 2\/3*q**4 - 2\/9*q**u + 0 - 8\/9*q**3 + 4\/9*q = 0. Calculate q.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*-98\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d - 5*d)*(0 - d + 0) - 6*d**2 + d**2 + 4*d**2 + 2*d**2 + 2*d**2 + 2*d**2 in the form l + a*d**2 + h*d and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4)\/((-2)\/(-4)). Let o be (-96)\/(-30) + 4\/(-20). Suppose -5*w = 4*b - 31, -4*b + 0*b + o*w = -39. What is the nearest to b in l, -1, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 31\/6 of a week?\nAnswer: 868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (39 - 37)\/((-2)\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1105508 or 0.05?\nAnswer: -1105508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1aab78?\nAnswer: -1aab76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 104006 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1018526 - 2b?\nAnswer: 10184b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7216801.5159433 - 7216802. Let q = -0.484 - b. Round q to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -13. Let m = 5 - x. Let j = m - -4. Which is the closest to j? (a) 3\/7 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 122356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1487.37414 rounded to the nearest 10?\nAnswer: -1490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j + 40 + 1\/2*j**2. Let n(r) be the first derivative of -2*r**2 - 1. Calculate i(n(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*a - 96*a = -139*a - 4899 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 595*p**3\/6 - 613*p**2\/2 + 892*p. Differentiate a(k) wrt k.\nAnswer: 595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(1 - (4288\/48 - 22\/(-33)))?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 11*q**4\/2 - 24*q - 1. Differentiate b(r) with respect to r.\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:42 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370611425?\nAnswer: 5, 37, 149, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Let p(v) = 0*v + o*v - 3*v - v. Let b(w) = w**2. What is b(p(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + sqrt(1584)*4)**2.\nAnswer: -576*sqrt(11) + 25380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 14900019.234544.\nAnswer: -14900015.234544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 h when three letters picked without replacement from {v: 1, p: 2, e: 2, h: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6278172974 less than -77190?\nAnswer: -77189.3721827026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((2618\/56)\/17).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16785, 33570, 50353, 67128, 83889, 100630, 117345, 134028?\n\"Answer: -m**3 + 5*m**2 + 16777*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 2*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i - 3*i + (i + 1 - 1)*(2 + 1 - 2))*(2*i**3 - 3*i**3 + 6*i**3).\nAnswer: 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 8*n - j + 3066, 3*n - 4589 = j. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 5*u + 30. Suppose 3*k = -2*k + 25, k = -t - 2. Let y be i(t). Suppose l = 4*v + y, 2*l - 314 - 80 = -2*v. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 2\/(-2) + 2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/8*2828\/(-35) and 92\/(-20) - (-5)\/(-20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 + -284. Suppose -3*r + v = 5*q, 3*q + q - 55 = -5*r. Calculate the greatest common divisor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177139?\nAnswer: 307, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -468 + 464. What is the fourth biggest value in 5, -19, 4, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-2 + -3 + 2). Let y = -77 + 46. Let r = y - -33. Put -1, n, r in decreasing order.\nAnswer: r, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 - 96?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17359416 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 3 - 3)*(-46*y - 45*y + 53*y) + (0 + 0 + y)*(4*y - 3*y - 2*y) + (0*y + 0*y - y)*(13 + 11*y - 13).\nAnswer: -126*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*n**3*v**4 + 26*n**3*v**3 + n**3 + 166*n**2*v - v**2 wrt v.\nAnswer: -96*n**3*v**2 + 156*n**3*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77213795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000043013819 to six dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -2748280?\nAnswer: 2748283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v. Let y(q) be the first derivative of 0*q - 1\/2*q**2 - 3. Calculate -s(m) + 3*y(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 10*g**2 + 2*g**2 + 2 - 64*g**2 to y*g**2 + v*g + r and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0065363037 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 14*p - 23 = 2*u, 3*p = -3*u - 3. Sort p, 11, 0, 4 in ascending order.\nAnswer: 0, p, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122166 (base 8) to base 10.\nAnswer: 42102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 760066, 1520119, 2280172, 3040225, 3800278, 4560331?\n\"Answer: 760053*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478686 times 32.7?\nAnswer: 48353032.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3020 + t - 3020.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3549*x + 7061*x - 3514*x. Let r(b) = 7841*b. What is r(f(q))?\nAnswer: -15682*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28933.\nAnswer: 28933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3506 and 95\/7012.\nAnswer: 7012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 46*n**2 + 347*n + 123. Let m be k(-46). What is m rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -36*w + 504. Let a be y(14). Suppose 4*s - 2*b = 7 + 11, -4*b = -4*s + 24. Solve 6 + a = -s*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0964 times -76\nAnswer: -7.3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 15 = -8*w. Suppose -w*s - h = -680, -6*h - 110 = -s - h. Is s a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + ((((sqrt(112) - sqrt(112)*1) + -5 + sqrt(112) - sqrt(112)) + sqrt(112))*6)**2)*2*-4 + -3.\nAnswer: -34560*sqrt(7) + 118293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + sqrt(720)*5 + sqrt(720) + sqrt(720)).\nAnswer: 15 + 252*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a. Let x(s) = s + 21333 - 21333. What is p(x(w))?\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = f + 16, 2*p - 3*f + 6 - 26 = 0. Suppose 5*t - u = 290500000, -t + p*u = 10*u - 58100000. What is t rounded to the nearest one million?\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*v - 25*v**3 + v**2 - 22*v**3 - 2 + 74*v**3 - 27*v**3 + 2*v**4 to f*v**3 + w*v + c*v**4 + d + k*v**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -161971.1 times -0.06?\nAnswer: 9718.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 0, 4*i + 10 - 34 = -4*u. Let r(y) = -6*y - 7. Let w be r(-3). Solve -i*f - w = 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 6*k + 6. Let a = -11 + 15. Let c be z(a). Suppose -c = 3*l - 121. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*0.03939\nAnswer: 0.051207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -352, -1791, -5690, -13279, -25788, -44447, -70486?\nAnswer: -105135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3450)\/805 - (-8)\/28 - 22\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -20*y - 34. Let x(o) = 7*o + 12. Let i(n) = -6*l(n) - 17*x(n). Let k(r) = 4*r - 2. What is -i(t) + k(t)?\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + sqrt(1300)*-1 - (4 + -4 + sqrt(1300)*2)) + 3 + 5.\nAnswer: -30*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 59*h**2 - 4*h - 4. Is 48 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 25*a + 238. Give t(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 3:45 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o - 1802 = -40*o. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 252*a**2 + 262*a + 856. Give k(-127).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 7*w + w + (-w + 0*w + 0*w)*(4 - 4 - 6).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -9. Suppose -2*d = -3*r + 5*r - 8, -4*r + w*d + 2 = 0. Solve 5 + 1 = -r*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + v = 1 - 10, -2*h - 4*v = 26. Let s be -1 + h\/5*-16. What is the greatest common factor of 105 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 1189, 2130, 3071, 4012?\nAnswer: 4953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(5*4\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -34.8 and 444482060.\nAnswer: 444482025.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 112.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 + 17. Let s = q + -127. Find the first derivative of 90*w**3 - s*w**3 - 3 + 2 wrt w.\nAnswer: -138*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from rpp?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (11 - (-1 - (-75 + 13 + 6)))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 <= -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-13\/3)*r*r**2 assuming r is positive.\nAnswer: r**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144489.\nAnswer: 3, 48163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649, -5278, -17851, -42340, -82717, -142954, -227023?\nAnswer: -338896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 + 0.41. Let o = n + 0.1. What is the nearest to 1 in -0.1, o, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/11981 + -560527\/6625493. What is the common denominator of -64\/395 and c?\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32878 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1 - (-26 - -1). Suppose d + 0*d - b = 5*t, -t = -4*d + 13. Suppose 0 = -2*u - d*u. Solve u*g - 2*g + 4 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 26 - 59 = -4*q, 9*p = -3*q + 33. Solve 2*k + 6*u - 8*u - q = 0, 3*k + 13*u = 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 61.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q + 26*q + (-2*q + 2*q - q)*(2 + 0 - 4) + (12 - 25 - 17)*(4*q + 0*q - 5*q) + q + 1 - 1.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*q = 2*q, -q - 13 = -4*y. Put -5, -3, y in decreasing order.\nAnswer: y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 11 = -j - 0*h, 4*j - 31 = -h. Suppose 3*w - 11 = -j. Solve 2*p = p - w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(20)\/((sqrt(32) + sqrt(288))\/sqrt(8)) + -4 + sqrt(20)\/sqrt(36) + sqrt(5) + sqrt(5) + sqrt(80) + sqrt(80)*2)**2.\nAnswer: -175*sqrt(5) + 158309\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2))\/(3\/12). Suppose -13 - x = -5*q. Suppose -5*i - q*u = -28, -6*i + 4*u + 56 = -i. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20175719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 16*j**2 + 1. Determine s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)*b**(3\/2))**(-7\/3) assuming b is positive.\nAnswer: b**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 0*s**2 + s**3 + (-2*s + 3*s - 3*s + (4 + 1 - 2)*(-5*s + 5*s - s))*(-15 + 133*s - s**2 - 133*s) as l*s**3 + q*s + c*s**2 + b and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3272\/1169 + 38\/167. Put -2\/3, 0.15, l in descending order.\nAnswer: 0.15, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 - m + 7. Let d be x(0). Suppose -k = 4 - d. Suppose -7*l + 44 = -k*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 50 (b) -0.7 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -763 - -828. Solve 57*b - 48 = g*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let f = 106\/351 + -4\/27. Which is the biggest value? (a) f (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 535972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/10309 and -61\/60148959.\nAnswer: 3669086499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 a factor of 4344821473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -144, -232, -320, -408, -496?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - 6 - (0 + 2). Solve y = -0*y - 4*d - 10, 2*y + d - 1 = m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/16? (a) 0.3 (b) 2\/15 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 0*y + (7*y + 18 - 18)*(0 - 4 + 2))*(y + 1 - 5 + 10*y**2 - 12*y**2).\nAnswer: 32*y**3 - 16*y**2 + 64*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 - 554a0?\nAnswer: -55470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.602506 to 2 decimal places.\nAnswer: 120.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 15. Suppose 6*u = -q*u + 325. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15709 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00405 to 4 decimal places.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*z**3 - 84*z + 3*z**2 - 25*z + 109*z.\nAnswer: 55*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 175983 or 176079?\nAnswer: 176079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4784 = 75*j - 18*j - 265*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 80 = -84 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 6) + (-20 - -49) + -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2051189.\nAnswer: 7, 41, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 524 + -390. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30 (b) -0.03 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 3*v. Let a = -21 - -21. Solve v*x + 4 = -a*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let b(r) be the second derivative of -r**4\/12 + 2*r. What is b(p(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/205750)\/((-11)\/(-36)). Let d = o + -2652537\/20595575. Let p = d + -2\/143. What is the closest to 1 in -4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 8*v + 3*n + 8, -v = -5*n. Suppose -81*l + 244 = -v*l. Which is the fourth biggest value? (a) 6 (b) 0.3 (c) 3\/5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 246624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*d - 2078 = 313, 3*l - 7191 = -3*d. Suppose -k = 5*k + l. Does 23 divide (-21)\/(-14)*k\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 16) in base 10?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 = 3. Let y(k) = -4 - 3*k**2 + 2*k**3 + 2*k**u + 3 + k - k**2. What is the remainder when 15 is divided by y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 - 6*b - 6. Let v be s(-1). Suppose 4*k = -k + 5. Let h be 2*k\/(-2) + v. What is the nearest to 0 in -4, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 24 = 4*z. Let l = -1461 - -834. Let j = l + 667. Calculate the greatest common factor of z and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135807389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (16 + -21 + 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a - 75. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.2, -0.3, 0, -3\/2, 0.4.\nAnswer: -3\/2, -0.3, 0, 0.4, 9.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.773 times -381?\nAnswer: -675.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 6:26 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:33 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/148)\/((-1)\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2256204, -2256189, -2256160, -2256111, -2256036, -2255929, -2255784, -2255595?\n\"Answer: z**3 + z**2 + 5*z - 2256211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from zzzzbzzzbz?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5875006cm?\nAnswer: 5875006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 1. Let t(i) = -16*i**2 + 12. Let c(w) = 10*m(w) - t(w). Let h(s) be the first derivative of c(s). Let f(k) = -2*k. Calculate f(h(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/124242?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95436.\nAnswer: 2, 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (-187 - -210) + -1 + 14 + -12.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11277\/231 - (-68)\/374.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - j = 50 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9410 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 5*i - 5*i)*((0 + 3 - 4)*(3 - 2 - 3) + 0 + 2 + 1)*(0 + 0 + i + 0*i + 5*i - 3*i + (-3 + 0 + 2)*(-i + 2 - 2)) as h + v*i + d*i**2 and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -140124.2507 to the nearest one hundred.\nAnswer: -140100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7472949 nanometers to kilometers.\nAnswer: 0.0000000000007472949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/13)*w)\/(w*w\/(w**(-2\/3)\/w)))**49\/(((w**6\/w)\/w)\/w**(-3)*(w**1)**(-7\/3)) assuming w is positive.\nAnswer: w**(-4984\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 779 = -81*f - 18*f - 211 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30054, 27398, 24742, 22086, 19430, 16774?\n\"Answer: -2656*j + 32710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73136618 to the nearest integer?\nAnswer: 8552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 198547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/((-9)\/(-12)))\/(-1). Let t(p) = p**2 - 3*p - 2. Let a be t(b). Suppose -3*o = y + 4*y + a, o + 14 = 5*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h + 0*h - 7*h - 9 + 8*h**2. Let t(s) = -7*s**2 + 3*s + 8. Let x(m) = -7*t(m) - 6*w(m). Let i be x(-4). Solve 2*p - 4 = -i*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 440 = 3*f - 2*v - 401, 0 = 5*f - 4*v + 49 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 539 + q**2 + 538 - 1085. Calculate u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3793 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*w + 6*w + 14*w)*(1 + 0*w + w - 3*w).\nAnswer: -118*w**2 + 59*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/6 and -31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.261\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 3*h**2 - 4*h + 13. Let m be j(3). Let u be m*3 - (22 + -477). Let a = -243 + u. What is the greatest common divisor of a and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1581 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5523279 (base 10) to base 2.\nAnswer: -10101000100011101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = -4*m, 2*t = 5*m + 3 - 12. Suppose m - 3 = 4*g. Solve g = -u - 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(10\/(-15)). Put j, -2, 1 in ascending order.\nAnswer: -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*f + 110. Suppose 5 = -5*z, -w + 5 = -0*w - 4*z. Let g be w*(2 - -174) - 0. What is the greatest common divisor of f and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m - 2*m**2 + 2*m + 17 + 4*m to q*m**2 + s + t*m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7))**27\/(s**(-1))**(2\/67) assuming s is positive.\nAnswer: s**(16295\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -7*z**2 - 9*z + 1. Let m be i(-6). Let u be 2\/(-4) - (-61)\/2. What is the highest common factor of u and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 4. Let r be s(3). Let m(o) = -3*o - 11. Is m(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + 1. Let y = 10.815 - 0.515. Let p = a - y. Sort -3, -4, p in increasing order.\nAnswer: -4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-25)\/(-2))*(-130122)\/1192785?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 17268*x**3 - 49675864*x**2 + 47581703664*x + 95362248960 = 0.\nAnswer: -2, 2838, 2960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y = 42 + 66. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 26*c**2 - 23*c - 40. Let d be v(25). Solve -7*m = -12*m + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -44 - 42 + z**3 + 84 + 4*z**2 - 9*z. Let s be i(-4). Let p = s + 2. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettee. Give prob of sequence tte.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let d(n) = 189*n**3 + 5*n**2 - 8*n + 7. Let z(a) = 188*a**3 + 6*a**2 - 8*a + 8. Let k(h) = 4*d(h) - 3*z(h). Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -19 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/2, 1\/6, 4349, 0.88?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223301 - 4545?\nAnswer: -232250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710792*k - 37262 + 37262 + 710772*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 1.1, -9, -2, 1\/4, 0.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -300 (b) 0.9 (c) -1 (d) -0.2 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times -745?\nAnswer: -10430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*h + 4*h + 25*h**2 - 126*h**3 + 127*h**3 + 144.\nAnswer: (h + 1)*(h + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 578 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 2*t - 3. Let n be o(-4). Factor 42*f**4 + 3*f**2 + 31*f**3 + 5*f**2 + 17*f**3 - 98*f**n.\nAnswer: -2*f**2*(f - 1)*(7*f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*w**5 - 7*w**3 + 39*w - 15.\nAnswer: -1500*w**3 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2 - (-7 + 1) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/5410017?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40081649?\nAnswer: 40081649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 + 9 - 4635800*d**3 - 5*d + 4635805*d**3 to the form y*d**3 + s*d**2 + o + r*d and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 159 + 6*k**2 - 316 + 161 - 5*k - k**3. Give b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4820 - 2*i + 7*i**3 + 2*i + 4820.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 4. Let p = 10411.9 - 10413.9. Which is the third smallest value? (a) -1\/4 (b) f (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*r + 8*r + 19*r**5 + 0*r**5 + 0*r**5 + 4*r**5 + 2*r**5 - 4*r**5 + 3*r**5 + (-r**3 + 0*r**2 + 0*r**2)*(-2*r**2 - r**2 + 5*r**2).\nAnswer: 22*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*x - 5, -2*r = -0*x - 2*x - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 13*a**2 + 15*a + 3. Let z be m(-11). Let b be (1 - 4)*-1*z\/(-18). Let h = b - 68. What is the closest to -0.2 in -1, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 + 1050524*z**2\/3 - 68982920416*z\/3 + 344835817280.\nAnswer: -4*(z - 131308)**2*(z - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 4 - 361*f + 5 - 33*f**2.\nAnswer: -33*f**2 - 361*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 10:08 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2) + 5 + -1. Let r be 18 + -4 + y\/(-2). Let a(q) = -r*q + 13*q - 2*q**2. Let g(z) = 4*z. Determine g(a(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*v**2 - 76 - 2*v**2 - 54 + 6*v**3 - 9*v**3 + 3*v + 7.\nAnswer: -3*(v - 41)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:39 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*((-10)\/(-12) - (-20)\/(-15)). Which is the second biggest value? (a) t (b) 1.7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236161114 divided by -33737302?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + sqrt(2)*5*4 + (-5*sqrt(576))\/sqrt(8).\nAnswer: -10*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33037730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*h - h. Let x be 3\/(-6) - (-1)\/h. Let l = 1.9 + 3.1. Which is the nearest to 1\/2? (a) l (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -2\/11, 0.18, 411?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/664 and 63\/128.\nAnswer: 10624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.0843?\nAnswer: -0.4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrlrirrrlrrliaer. What is prob of sequence ar?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3643984*x**4 - 1089738 wrt x.\nAnswer: 14575936*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 161485.4 millennia?\nAnswer: 161485400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -793583, -1587167, -2380751?\n\"Answer: -793584*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8120, 5\/6, 3 in increasing order.\nAnswer: -8120, 5\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12343, 24729, 37159, 49633, 62151, 74713, 87319?\nAnswer: 99969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.757 + 1.69. Let s = i + 1.067. Which is the closest to s? (a) 0.3 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 11, 8225?\nAnswer: 8225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 2*y + y)*(-4 - 2 + 4) - 504*y + 804 - 804 as c + m*y and give m.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 68 divided by 636695\nAnswer: 68\/636695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/474, 23\/3, -3\/4, 2?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-13)\/(-26))\/(2\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -10001101101100000010000101?\nAnswer: 10001101101100000010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1047 divided by 241\nAnswer: 1047\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 5*v**2 + 3*v. Let z(g) be the second derivative of -3*g**5\/10 - 7*g**4\/6 + 4*g**3\/3 - 3*g. Calculate 14*w(b) - 5*z(b).\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.644 + 1.944. Which is the nearest to -1? (a) -11 (b) 0.01 (c) g (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800789?\nAnswer: 53, 71713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17533063 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(15\/(-13)) + 2. Let o = 188.6 - 189. What is the third biggest value in -4\/7, g, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266372209 to the power of 1\/3, to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 74462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/z**(-1\/12))*z))\/z**(4\/3))\/((z*z*z**5)\/(z*z**(1\/10))) assuming z is positive.\nAnswer: z**(-163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -17a732b?\nAnswer: -17a7326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + f + 6. Suppose 0 = -4*i - 0*i - 4. Let d be (i\/2)\/((-2)\/(-28)). Let m be z(d). Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*z - 7, -3*j + 3*z = -2*j - 9. Suppose -w + j*w = -10. Let c(t) = 5*t**2 - 2. Is c(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68442 divided by -61\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -67043*142\nAnswer: -9520106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-166)\/3450)\/((-6)\/965). Let p = u + 9\/230. Calculate the common denominator of (-1)\/4 + -14 + 28 + 255\/(-20) and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 + 135 = 23*o. Calculate the remainder when -1 - (70\/(-1))\/2 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44308, 44412, 44518, 44626, 44736, 44848, 44962?\nAnswer: 45078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2. Let g = -48 + 45. Let f be 5\/(-2)*(-1 - g). Let p(a) = -a - 4. Give f*v(n) - 2*p(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 20, 39, 58, 77?\n\"Answer: 19*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-4331\nAnswer: -866.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16008 and -96.12767.\nAnswer: 15911.87233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhwwwvwhwhvhvvhhh. What is prob of sequence vh?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 10*u + 9. Let k be m(-9). Suppose -2*c + 4 = k, -7*o - 4*c = -3*o - 140. Calculate the remainder when o is divided by 15 - ((-33)\/3 + 9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:10 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Let g be (k\/(-4))\/(2\/16). Let m = 18.585 - 16.585. Put g, 0.4, m in descending order.\nAnswer: g, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, -3934 in descending order.\nAnswer: 5, 4, 1, -3934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*q - 30, i - 55 = 2*q - 7. Let p = 63 - i. Calculate the highest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 17. Let z be q(-7). Suppose u - 2*u + 3*m = -5, 2 = z*u + 4*m. Solve -u*p + 9 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (1 - 10 - (46 - (45 + -1))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 204961118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78104641.\nAnswer: 43, 1816387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25075674 and 2122.\nAnswer: 25075674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174991136 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-59*q**2 - 72*q**2 - 28*q**2)*(1 - 1 - 2*q**2 + (0*q - 4*q + 6*q)*(-5 + 5 - q)).\nAnswer: 636*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/65))**(2\/13))**32 assuming t is positive.\nAnswer: t**(-128\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (3\/4 + 4 + -7). Let t = 77 + -78. Which is the closest to 0? (a) t (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/10 - 3\/80. Let p = -599 + 2463\/4. Find the common denominator of a and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 - x**3 + 0*x + 2*x - 1 + 3*x**3 - 5*x**4 in the form v*x**3 + g*x + a*x**4 + y + z*x**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*i + 307435, -5 = 1142*i - 1141*i. List the prime factors of x.\nAnswer: 2, 19, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - z)*(-8*z - 13*z - 17*z).\nAnswer: -38*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/4 + (8 - 5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.0599 and -2.\nAnswer: -10.1198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, k: 2, e: 1, w: 10, m: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -2*g**5\/15 + 10*g**2. Let p(w) be the first derivative of -w**3 - 3. Give p(x(f)).\nAnswer: -192*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 77*c + 55*c + (0 + 0 - c)*(-4 - 3 + 6))*(-3 + 1 + 4).\nAnswer: 262*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111007061 - -2?\nAnswer: -111007058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 93\/(-4)*(-192)\/18. Suppose -5*g + 111 = a, 2*a - 2*g - g = z. Let x = a - 66. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 311134835 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -52*i**3 + 8*i**2 + 8*i - 10. What is the thousands digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 902174 is divided by 12888.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 249 or 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n - 3*n**2 + 5*n - 3*n - 7. Let c(q) = 2*q**2 + q + 6. Let v(b) = 6*c(b) + 5*i(b). Let f(m) = m**2 + m - 21. Let d be f(4). Give v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -28920 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*i**3 + 6478341*i - 6478341*i.\nAnswer: -544*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*w - 777 + 93 + 168 - 488 + 56*w.\nAnswer: w - 1004","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**2 + 15 - 3\/5*l**5 - 2*l**3 - 1\/12*l**6 - 13\/8*l**4 + 0*l. Factor r(k).\nAnswer: -k*(k + 1)**2*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x**2 - 6. Suppose -4*f - 15 = 9. Let q(t) be the first derivative of -3*t**3 + 11*t - 15. Determine f*q(g) - 11*s(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 2*t - 4. Let g(k) = -7*k**2 - 5*k - 9. Let s(v) = 6*g(v) - 13*j(v). Give s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (14 + -13) - (30 - 48).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -201, -295, -385?\nAnswer: -471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 21792*b - 118722816.\nAnswer: -(b + 10896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q + 3*x - 12 = 0, -q + 3*x = 12. Suppose -2*m + q*m + 1 = u, u - 3 = -3*m. Suppose 3*c - 15 = -m*c. Solve 25 = c*n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54308 at most -54306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1726 - -1733. Let d = 6.29 - 0.29. Put -2, -1, d, j in ascending order.\nAnswer: -2, -1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136902 is divided by 70.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2 - 2*n**2 + 12*n**2 - 2*n - 2. Let p(q) = q**2 - 1. Give -g(y) + 3*p(y).\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147344 and 59936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30 - -34)*((0 - -1) + 13). Suppose -5*c = 2*c - k. What is the remainder when 141 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.776 - 0.224. Let i = 43\/3 - 14. What is the nearest to 0.1 in l, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 8*a + 5. Let w be t(8). Let s be 1\/((-15)\/(-12) + -1). Solve o - w = -s*x, 0 = 4*x - 5*o + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y. Let o(j) = 64*j + 69*j + 61*j + 384 + 65*j - 258*j. Determine v(o(f)).\nAnswer: 4*f + 1536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q - 65. Suppose 4*a + o - 85 = -17, 3*a - 2*o - 40 = 0. What is the units digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -12. Let z(d) = -d**2 + 14*d - 43. Calculate the remainder when q is divided by z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/15 - 1208762*n\/15 + 805844\/5 = 0. Calculate n.\nAnswer: -604383, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -925, -1637, -2349, -3061, -3773, -4485?\nAnswer: -5197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -28. Suppose 33*m - 400 = 23*m. Let i = m + y. Calculate the greatest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4\/9 - 56*i**3 + 5204*i**2\/9 - 1856*i + 1840 = 0. What is i?\nAnswer: 2, 3, 6, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/5 - 6816*b\/5 - 5293134\/5 = 0. Calculate b.\nAnswer: -2211, -1197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/45)\/((-54)\/(-27)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*t + 1, 0 = -4*t - 2*f + 8 + 6. Let x be 1*((-8)\/4 + t) + 87. What is the highest common divisor of 36 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375153?\nAnswer: 3, 23, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 74 = 29. What is the common denominator of w and (-22)\/33 + (-9)\/(-2) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w**2 + 2*w - 2. Let g = 10 - 18. Let p = 2 + g. Let r(a) = -a**3 - 5*a**2 + 7*a + 2. Let h be r(p). Calculate y(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let x be t - -2 - (3 + -4). Suppose 4*a + 0*a = -5*w + 36, 34 = 4*w - x*a. Solve h + 5*l = -w, 0 = 5*h - 4*l + 4 - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 + 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 - 141.48. Let r = m - 0.52. Let i(u) = 3*u - 5. Let x be i(3). Put r, x, -0.3, -3\/5 in increasing order.\nAnswer: r, -3\/5, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 - t - 4. Let g be k(-6). Let u = -540 + 555. Solve -4*n - 3*m - 44 = -u, -g*n - 19 = 3*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p, -5*p = -5*m + 21 - 1. Suppose -46 = -6*k - 16. Sort k, 0, -4, m in decreasing order.\nAnswer: k, m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23292, 23165, 22960, 22683, 22340, 21937, 21480, 20975?\nAnswer: 20428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.213 - -0.263. Let y be ((-4)\/56)\/(2\/8). Let i = -5.57 + 6.57. What is the third smallest value in 0.2, y, i, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8170971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 175999976\/(-32) + 9\/(-12). Round f to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -31, -41, -51, -61, -71?\n\"Answer: -10*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/5 + 920276*a\/5 - 6441834\/5 = 0.\nAnswer: 7, 460131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-5\/3))**(14\/3))**44 assuming z is positive.\nAnswer: z**(-3080\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 97 = -5*m. Suppose -j + m = 3*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.24, 7, 2\/15, 0.5 in increasing order.\nAnswer: -0.24, 2\/15, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120*(-30)\/3240 + (-8)\/(-36)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 31*z + 62. What is the lowest common multiple of 1\/6 + 3515\/222 and a(-30)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 183*h**2 + 0*h**3 - 1 - 184*h**2 - 2*h**3 as r + l*h**3 + c*h + v*h**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from {n: 5, e: 7, s: 4}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477 - 772 - 56)*(7*f**2 - 2*f**2 - 3*f**2).\nAnswer: -2610*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 111384.40076 rounded to the nearest 100?\nAnswer: 111400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 13*m**7\/840 - m**4\/6 - 17*m**3\/6 + 15*m**2. Let i(q) be the first derivative of n(q). What is the derivative of i(j) wrt j?\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 228978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-15 + (11 - -674))*(-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-295)\/2)\/(11\/(-22)). Let i = j + -181. Suppose 0 = -4*d + 2*d + i. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*p**3*s**2 + 6*o*p**3 + o*p**2*s**2 + 33*p**4*s**2 + 909*p*s**2 wrt p.\nAnswer: 12*o*s**2 + 36*o + 792*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162301489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**3 - 18825*c - 201366 wrt c.\nAnswer: 15*c**2 - 18825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d0c51 (base 14) in base 2?\nAnswer: 10010010100111101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -130, 1\/33, -1?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*z - 27*z + 47*z as u*z + d and give u.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2212 + 2187 - (-1 + 3)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - j**3 - 2\/5 + 9\/5*j**2 - 7\/5*j**4 = 0 for j.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108232766417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + 3 + sqrt(75)))**2 + (sqrt(75)*-1 + 0)*4.\nAnswer: 700*sqrt(3) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -16. Let t be 4\/u - 24\/(-14). Suppose -t*v + 37 = -11. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 363*n + 2100. Let p be o(-6). Let j(g) = 1. Let i(a) = a + 31. Calculate p*j(q) + i(q).\nAnswer: q + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1814 - -1812. Put w, -0.2, -14 in decreasing order.\nAnswer: -0.2, w, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:17 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*f**2 + 74*f**2 - 27*f**2 - 28*f + 27*f.\nAnswer: -294*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*w - 3*n - 279 + 156, -4*n = 5*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-12)\/6)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -17, 23 in decreasing order.\nAnswer: 23, 21, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/91 (b) -2\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 6*n + 6. Let m be y(-5). Let r(u) be the third derivative of -u**4\/2 - 7*u**2. What is r(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddn when four letters picked without replacement from nndddnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3330526.5000011 + -3330530.5. Let g = 122 - 126. Let o = g - w. What is o rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*z**2 + 13*m**3*z - 11*m**2*z**2 + 12*m*z**2 - 617*z - 1 wrt z.\nAnswer: 2*m**3 - 22*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. Let t = -25 + 42. Let h = t - 20. Which is the nearest to x? (a) 2\/7 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-2))\/(-5)*30\/(-1470)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -5, 6\/19, 2\/15, 96 in ascending order.\nAnswer: -5, -1.1, 2\/15, 6\/19, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 > 24683.846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/64 and (11 - 348\/32)*14\/(-22)?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 22 = b. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 2, f: 3, l: 5, j: 3}. What is prob of picking 1 l and 1 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d + 13 = -6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 8. Let l(j) = 1. Let v(t) = -4*l(t) - n(t). Let h be v(0). Suppose -q - k + 4 = 3*k, 2*k - 2 = -5*q. What is the closest to 0 in q, 3, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 + 543*v**2\/2 - 1083*v\/2 + 541\/2.\nAnswer: -(v - 541)*(v - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2\/9 - 7285*v\/3 + 109250\/9 = 0. Calculate v.\nAnswer: 5, 21850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 13*o + 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 416 - 608 = 22*y, -4*b = 5*y + 53 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -14 (c) -20\/7 (d) -4191.2 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u - 2*u)*(-124 + 68 - 87) - 3*u + u + u + (-3 + 4 - 4)*(-4*u + 6*u - u) + 27*u - 14*u + 30*u to the form i*u + b and give i.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (16 + 0)\/4 - -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*g = 90. Let u(d) = d + 5. Let f(t) = -t**2 - 5*t. Let c be f(-4). Calculate the least common multiple of g and u(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 2\/19, -0.2, -1\/17, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2849*b - 55178 - 28142 - 11582 = 78887 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*d - 19, 593*d - 594*d + 2*l = -3 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 35*y - 154. Suppose -87 = 7*m + 186. Let g be f(m). Solve -g*v + 15 = -5*o, -23 = -3*v + 5*o - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:18 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*s, 8*k - 12*k - s - 4 = 0. Let r be (k*2\/(-8))\/((-70)\/(-1260)). Let j(i) = 2*i - 3. Does 5 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2470840 and 1385.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20719 - 11757. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380442237 divided by -2\nAnswer: -2380442237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11365*q - 4538 + 743263 = 0 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:53 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5542 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1441 - 21?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24091685 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 4 - 2*y + 9*y. Let l be f(2). Let w be l\/36 - 73\/237. Is w <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Let s(f) be the first derivative of 19*f**3\/3 + 7. Calculate the remainder when 56 is divided by s(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 97 = k, -3*i - i = 5*k - 85. Suppose -i = -a - 0*a. Solve 0 = 2*f - 2*w - 10, -3*f - 3*w = 2*f - a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-16)*s))\/(s\/(s**(-25)\/s)))\/(s**(-11\/4)*s*(s*s\/((s*s**22)\/s))\/s) assuming s is positive.\nAnswer: s**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 65*i**3 - 3*i**2 + 11*i - 26. Let a(c) = -326*c**3 + 16*c**2 - 56*c + 130. Let r(v) = 3*a(v) + 16*s(v). What are the prime factors of r(3)?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25826906 divided by -2\nAnswer: -12913453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) 1\/4 (c) 3 (d) -1 (e) 280.19 (f) -7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870679161.\nAnswer: 3, 11, 19, 462881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/33 (b) 0 (c) -2 (d) -1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 2*o**2 - 2*o. Let h be p(2). Suppose -5*t = -h*t - 5. Suppose 0 = t*l + 5*i, -2*l = -i - 21 + 6. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, -198, -748?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v - 43. Calculate f(-20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00891 and -5.\nAnswer: 0.04455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/q*q**(-3\/19) assuming q is positive.\nAnswer: q**(73\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 - 20*s + 4. Is i(14) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 13. Let g(l) = 3*l**2 + 12. Let c = -436 + 432. Give c*t(k) + 5*g(k).\nAnswer: -k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4*2 - (258 + -265)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19 (b) -0.3 (c) 4 (d) 3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 - 10 = 0. Let n be 16\/10*o\/(-4). Solve n = -h + 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6901739657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 35 in increasing order.\nAnswer: -5, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 - 20. Suppose o - 5*b + w = 0, -4*b + 1 = 5*o + 19. What is the units digit of 1\/((-2)\/5)*o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111059\/90 + 1234. Let v(j) be the third derivative of 2*j**2 - 1\/30*j**5 + 0*j + 1\/315*j**7 + 4\/9*j**3 - 1\/9*j**4 + p*j**6 + 0. Factor v(h).\nAnswer: 2*(h - 1)**2*(h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.06685 hours in microseconds?\nAnswer: 201840660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 3*p**2 - 2*p - 5. Let s be q(4). Solve 42 = -5*t - 2*h + 17, -4*t + 3*h + s = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4824965032 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160607 is divided by 1785?\nAnswer: 1742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + ((-15)\/(-3))\/1. Let z(f) = -3*f**2 + 5*f. Let o(l) = -22*l - 2*l**2 + 4*l**2 + 19*l. Calculate m*o(c) + 4*z(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 229*t**5 - 2052*t**3 - 2*t**2 + 8*t - 4612006?\nAnswer: 4580*t**3 - 12312*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53540 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152)\/sqrt(72))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321030300 - 1333?\nAnswer: -2321032133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 15254*n**2 + 15228*n - 183024 = 0. What is n?\nAnswer: -7626, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/42 and 191\/841620.\nAnswer: 5891340","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -51*a**2 - 2*a - 9. Let f(b) = -b - 3. What is 3*f(m) - t(m)?\nAnswer: 51*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*u + 2. What is the remainder when (24\/(-15))\/(1\/(-5)) is divided by 8\/3 - u\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/24*(-27)\/42.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 7\/1051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 9. Let o be n(-3). Let t = o - 33\/2. Which is the biggest value? (a) 5 (b) 2\/5 (c) -5 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:09 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 879775350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o - 4*o + 5*o)*((1 - 2 - 4)*(0*o + 0*o + o) + 3*o - o + 0*o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 6) in base 3?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*x + 54. Let o = 14 - 4. Calculate the greatest common divisor of x and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 44984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + 460\/(-23) + 23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1565\/12584 - -1\/1573. Let g = -35 + 25. What is the second biggest value in t, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467239.2 to the nearest ten thousand.\nAnswer: 1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 + 41*q**4 - 4*q**2 - 3 wrt q?\nAnswer: 120*q**2 + 984*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (7 + -51)) + (13 - (1 - -2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 7. Let i = -7.99999975 - l. Round i to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1062)\/(-38763)*(15\/(-5))\/3\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -916 - -1144. Let j(i) = 7*i**2 + 4*i + 4. Let s be j(-3). Suppose 4*w + 4*g - f = 0, -w - 3*g + g = -s. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 3 (b) -2\/5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20743?\nAnswer: 20743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 38 (b) -1\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Let c = -9 - -8. Put -0.1, k, c in decreasing order.\nAnswer: k, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4021 + -4?\nAnswer: -4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 30 - 13)*(1 - 2*l**2 - 1)*(-2*l - 4*l + 4*l).\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -266*l + 5*l + 2*l + (l + 0*l - 2*l)*(-1 + 0 - 1) + 4*l + 8 - 8 - l + 0*l + 0*l + (1 - 4 + 2)*(0 + 0 + l) + 2*l - l - 2*l - 2*l + 4*l - l.\nAnswer: -255*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 2, k: 7, f: 3}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, 22, -26 in decreasing order.\nAnswer: 22, 12, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 3) + -2 - (1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 5*z + 2*z)*(7 - 3 + 1)*(z**4 - 2*z**2 + 2*z**2).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + (sqrt(18) + -5*sqrt(90)\/sqrt(5) - sqrt(18)))\/sqrt(9))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05095 and 4?\nAnswer: 4.05095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 44*s - 15 + 140*s + 6.\nAnswer: 96*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43108390 to the nearest integer?\nAnswer: 6566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 143723681*w - 701850440.\nAnswer: 143723681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.1 + -7. Let k = -3.1 + y. Sort k, 1\/2, 1\/4.\nAnswer: k, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -5, -4, -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfxrfza. What is prob of sequence af?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*v - 3*c - 5, 2*v + 7 = -3*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p - 12*p - r = -71*p + 31*p + 32, -5*p + 55 = -5*r for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 11*v - 1. Calculate the remainder when 6 is divided by t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let b(c) = -2*c**2 - c - 1. Let m(w) = -4*b(w) + 7*v(w). Calculate m(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5*s + 1013*g**5 + g**3 + 10*g**2 + 2675*s wrt g?\nAnswer: -420*g**2*s + 60780*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011222 (base 3) to base 14.\nAnswer: -459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -117369 divided by -3?\nAnswer: 39123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 26*w**3 + w**2. Let x be f(1). Let h = x - 17. Suppose 3*y = 5*y - h. Put -1, y, 4, -5 in increasing order.\nAnswer: -5, -1, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from mmmmnmmmmmnmmmmmmm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -893663044 - -893581317.0014. Let m = -81734 - t. Let n = -7 - m. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i. Let d(m) = -2*m**2 - 200807*m. What is n(d(g))?\nAnswer: -6*g**2 - 602421*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 3. Suppose 9 = 7*g - 3*g - 3*q, -g - 4*q = 12. Calculate the remainder when z(g) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -647 and -0.1.\nAnswer: 64.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80 by 34.\nAnswer: -40\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -33*h**2. Let t(f) = -2*f + 110. Calculate w(t(a)).\nAnswer: -132*a**2 + 14520*a - 399300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.76900877 rounded to 3 dps?\nAnswer: -97.769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-3)\/9*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117\/52*2*2 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**3 + 3*t**3 + 6*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44976 and 53678856?\nAnswer: 107357712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.6. Let x = 0.4 - h. Suppose 2*i = 2, -1 = -5*z + 5*i + 4. Which is the third biggest value? (a) x (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16129\/4 + 4056. Find the common denominator of f and 61\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7826 and 2.\nAnswer: 1.2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 7:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -54. Let p = j - 59. What is the smallest common multiple of p and 242?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2793724\/11 + 253976. Factor k + 10\/11*l + 2\/11*l**2.\nAnswer: 2*(l + 2)*(l + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 - 2284*y**2 + 1273350*y - 586430000\/3.\nAnswer: 2*(y - 2776)*(y - 325)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214292 and 5408.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 0*d + d**2 + 1\/6*d**3 - 1\/420*d**7 + 0*d**6 + 0 + 0*d**4 + 1\/60*d**5. Let q(j) be the first derivative of r(j). Factor q(b).\nAnswer: -2*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 4, 5, 1 in decreasing order.\nAnswer: 14, 5, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*y + 236 = -597 + 16 - 639 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -2\/3, -2\/57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = g - k - 599, -3*g + 593 = 2*k. Suppose 2*u - g = 3*l, -u + 4*l + 388 = 3*u. Let m = u + -50. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2\/((v**(2\/13)\/v)\/v)*v*v**(-1\/3)*v*v**(-1\/12)*(((v\/(v**(-3)\/v))\/v)\/v*(v**(-2)\/v)\/v)\/(v*v**0\/v*v)**(-2\/141) assuming v is positive.\nAnswer: v**(32581\/7332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 10*j**2 - 5*j - 23. Let h(i) = i**2 - 3. Suppose -12*v + 223 = 7. Let k(p) = v*h(p) - 2*n(p). Factor k(t).\nAnswer: -2*(t - 4)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11385 plus 5?\nAnswer: -11380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x + 4*n = 160, -3 - 26 + 0 = 5*x + n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 10*j = 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84359835 by -388755.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(2\/1))\/(16\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19072*t**2*w**2 + 15*t**2*w + 32*t**2 + 1227*w**2 - 103*w - 42 wrt w?\nAnswer: 38144*t**2 + 2454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = 3*q, -5*i - 3*q - 32 + 51 = 0. Which is the third biggest value? (a) -2 (b) 0.5 (c) i (d) 4 (e) -5052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402 + 10420?\nAnswer: 10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*t = 0, -6*p + 727*t - 728*t = -18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = 2*x - 99 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 - 9. Let x(u) = -u**2. Determine x(b(n)).\nAnswer: -16*n**4 - 72*n**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + -0.35. Let n be 1\/7*-23 + 3. Which is the second smallest value? (a) n (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 511, 1022, 1535, 2050, 2567, 3086, 3607?\n\"Answer: y**2 + 508*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*((-154)\/14)\/(-165)*(-10)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 - i - 105. Give d(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 72 - 4. Let z(r) = -622*r + 12 + 2*r**2 + 318*r + 310*r - 2 - r**2. Is z(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1863.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 34*q - 334 - 776, -b - 3*b + 2*b = -4*q + 138 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7130 is divided by 6858.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(91\/26).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h. Let g(p) = -20*p. Let z(w) = -6*g(w) - 5*s(w). Let u(i) = 6*i + 5. Let q(k) = k + 1. Let v(l) = 5*q(l) - u(l). Determine z(v(x)).\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.492 * 4.9.\nAnswer: 95.5108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5547\/1664 or 2?\nAnswer: 5547\/1664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151 and 17063.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-1 + sqrt(272))**2 + (sqrt(17)*-1*6)**2)*-6.\nAnswer: -5310 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (370 - 1) + (-3 - -18) + -8 and 20?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80934 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1343467 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v**4 - 3*v**4 + 15*v**4 + (-2*v**3 + 3*v**3 + 0*v**3)*(-5*v + 2*v + 5*v) - 2*v**4 + 2*v**4 + v**4.\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/u**(-1\/3)*u)\/u))**(6\/5)\/((u*u**(2\/19))\/(u**(1\/4)\/u)) assuming u is positive.\nAnswer: u**(-857\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1544416 * -133.\nAnswer: 205407328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*(v\/(v\/v**6))\/v*v))\/v))\/v**(-1))\/(((v*v\/((v\/((v*v\/(v\/((v*v**(-2))\/v)))\/v))\/v))\/v*v)\/v**(-1\/2)) assuming v is positive.\nAnswer: v**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -275 or 56428?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11212705\/10198 + 2199\/2. Let r = h + -25383\/285544. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -2\/5, 2\/51, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24 - ((-1 - 6) + (43 - 68))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*r - 12072 + 240845, -2*g = r - 91509. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 5*z**2 - 2*z - 6. Let g be d(-5). Suppose 2*f = 4*m - 8, m + m + g*f = -6. Solve 0*v - 4*i = 2*v, v - m = -i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11698 + 18091. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/30 + f**2. Let c(d) be the first derivative of 0*d + 0*d**2 - 1\/3*d**3 - 8. What is w(c(s))?\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*j + 20 + 4 = 0, 5*d + j + 120 = 0. Let s = d + 26. Does 14 divide ((-1063)\/(-15) - 2) + s\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 + 7\/2*g**2 + 1\/2*g**3 + 2*g = 0. Calculate g.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/7))\/(o\/(o\/((o\/(o**(2\/11)*o))\/o)))*o*o\/(o*o**(-2\/11))*o**(-1\/3))\/((o*o\/((o\/(o\/((o*o\/(o\/o**1)*o)\/o*o)))\/o))**(11\/2))**3 assuming o is positive.\nAnswer: o**(799\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(228) - sqrt(228))\/sqrt(12))**2 + 1 - (sqrt(1539)*5 + sqrt(76)\/(sqrt(4)*-2)).\nAnswer: -89*sqrt(19)\/2 + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6465 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 12*q**2 + 3. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035 - -1052. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -4, 210, -1 in descending order.\nAnswer: 210, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-119) + 132\/(-182)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1232810513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 126.09. Let g = 585 + -584.99. What is the second smallest value in -4, -1\/3, g, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 570, 462, 428, 468, 582, 770?\n\"Answer: 37*y**2 - 219*y + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**4\/4 - 10*w**3\/3 + 4*w**2 + 10*w + 12. Let t be m(9). Which is the third smallest value? (a) 5 (b) 0.5 (c) 3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 57*v - 5839. Calculate l(101).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5)\/((-712)\/(-9790)). Solve -d = -19*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-51)\/85 - 17\/5. Put x, -11, 2 in descending order.\nAnswer: 2, x, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6*r + 56. Let v = 24 + r. Calculate the smallest common multiple of 16 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -690315.\nAnswer: -6903.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*p**2 - 7*p + 0*p + 15*p**2)*(-44*p**2 + 3*p - 3*p).\nAnswer: -88*p**4 + 308*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-90)\/(-51))*(-164)\/(-2542)*155?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 5)*(y - y**3 - y)*(7 + 0 - 3).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62992 is divided by 248?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -438 + 444. Suppose m - 18 = -w, -4*w = -4*m + 2*m - 48. Let g be (-152)\/(-28) - k\/w. Solve 4*v = 2*l - g*l + 32, 0 = -5*v - 3*l + 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 4*p + 7, 11*i - 7*i - 5*p - 6 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 62 + 23 + 17 + 55 - 46.\nAnswer: 3*f**3 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23308 - 10145. Let z = d + -1894. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456.4154*5.\nAnswer: -2282.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468194.\nAnswer: 2, 131, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - (14 + (-26 - -37)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 12712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 39\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735 = -81*l - 1168 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.759 + 3.729. Which is the closest to 2? (a) -0.3 (b) h (c) 2\/23 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941 divided by 15?\nAnswer: 1647\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71532)\/19870)\/((-258)\/10).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 5*c + 6. Let a be r(6). Suppose a = -3*g - g + 100. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*c - k - 17 = 0, c - 28 = 5*k. Find the common denominator of c\/9*73*6\/70 and -19\/77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i - 624 = 2062. What is the remainder when i is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -185063.1 and 2.\nAnswer: -370126.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 11:43 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) + 12064\/6. Suppose -4*w + b = -2*k + 7*k, -k + 407 = -4*w. List the prime factors of k.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11526, 46274, 104186, 185262, 289502?\n\"Answer: 11582*f**2 + 2*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5362087 to the power of 1\/2, to the nearest integer?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6083543050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1329.9 + 237. Let w = 1567 - d. Let o = -3\/269 + -439\/8877. Which is the closest to w? (a) -2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-266 - -290) + -62 + -10?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 21, 2, 154 in descending order.\nAnswer: 154, 21, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -112620 + 112620 - 573*y**2 + (2 - 4*y - 2)*(-y + y - 2*y) as p*y**2 + v*y + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:50 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 2:23 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23901.11t in kilograms?\nAnswer: 23901110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(0*h - 2*h**2 + 0*h) - 4*h**2 + 3*h**2 + 0*h**2 + (-4*h + 12 - 12)*(-2*h - h + h) + 4 - 2*h**2 - 4.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((891\/18)\/11)\/(5\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17320 and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1027\/900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 4 + 3)*(0 + 0 - 2*h) in the form j + c*h and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -170. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1534 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - d - 25. Suppose -4*u = -8*u + 2560. Is 13 a factor of 2\/5 + u\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-68)*4\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1 - -5) + 4 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -94 (b) 2 (c) 4 (d) 2\/15 (e) 121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0.3 (c) 4 (d) -4 (e) -6\/5 (f) -1588\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -698.02 + 711. Let f = 13 - n. Which is the biggest value? (a) -0.1 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(203 - 37*w - 203)*(0*w**2 + 3*w**2 + 0*w**2) + 0*w**3 - 3*w**3 + w**3.\nAnswer: -113*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 2*h + 2. What is f(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/11 - (-2)\/(-11). Let j(t) = t**2 + 6*t**3 - 5*t**3 - t + 0*t**3 + 5. Let l be j(0). Solve z - 6*z + y = -2, a = z - l*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.66 (b) -4\/7 (c) 1\/6 (d) -6330 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.278? (a) -1\/6 (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.268 * 5.\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 625. Suppose 2*s - 5*u + 4*u - z = 0, -5*u + 276 = s. What are the prime factors of s?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 154 = 434. Solve 5*p - s = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210222210 (base 3) in base 16?\nAnswer: -d866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 4219 + 4155 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 10*c + 14. Calculate l(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - s + 5*s + 1 + 2*s.\nAnswer: 6*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - (-80)\/48. Suppose -5 = j - 4*d, 0 = -0*j - 4*j + m*d + 8. Suppose -t = j*t - 688. Is t a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37 less than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 6) to base 16.\nAnswer: -1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79392 times -0.5?\nAnswer: -39696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/6)\/(42\/(-189)). Let x(d) = 39*d - 78. Is x(o) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/16)\/(3\/(-348)). Let m = 24 + t. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -k**5\/4 + 40*k**4\/3 + 3*k - 4. Suppose b(h) = 0. Calculate h.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nljjnjjjllnjnjnjllll. Give prob of sequence jl.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v - 17 = -50*v - 2*a, v = 38*a - 17 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -114, 5, -33, 108, -3 in decreasing order.\nAnswer: 108, 5, -3, -33, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*c + 36 = -48*c. Let g be (c - -1) + 11 + -2. Solve 0 = i + l - g, i + 0*i = -4*l + 19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 7\/473692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**2 + 1. Let m(s) = 13*s**2 - 26*s**2 + 14*s**2. Calculate w(m(q)).\nAnswer: 13*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/233971 and -4\/7871.\nAnswer: 108328573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -92482.\nAnswer: 1202266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 149853.\nAnswer: 149853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27697?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25363182 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1328 and 1946267.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**3 + y + 1. Let t be c(-1). Let n(j) = 16*j - 9*j - 4 + j**2 - 3*j - 5*j. Calculate n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 168 = -23. What are the prime factors of b\/(80\/428)*(-36)\/(-3)?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46332389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1765246*l*y**2 - 1501*y**2 + 1339*y with respect to l.\nAnswer: -1765246*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101496144 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 48. Let o = p + 67. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + (sqrt(17) - (sqrt(1377) + sqrt(17))) + sqrt(17))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22634+-1\nAnswer: 22633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 3491*y + 869*y + 868*y + 871*y + 883*y - y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 - 4*h + 17. Suppose -5*p + p = 20. Let j be k(p). Let g be 23 + -1*(0 + -1). What is the highest common factor of g and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/7 (c) 5\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3 - 208*w**2 - 811*w + 1020 = 0. What is w?\nAnswer: -204, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 15\/(-9))*(-13 - (25 + -113))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/988229 or 0?\nAnswer: -5\/988229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 + 74 = -2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 + 5978586*r + 2978624213283 = 0 for r.\nAnswer: -996431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 25*z - 120 + 61 - 31*z**3 - 14*z + 4*z**2 + 60 to y + q*z**2 + d*z + t*z**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 89121120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32671, 32672, 32673, 32674?\nAnswer: 32675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**5\/y*y*y\/(y*y**8*y)*(y*(y**(1\/5)*y)\/y*y)**45 assuming y is positive.\nAnswer: y**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 10*p**2 + 22*p - 35. Differentiate o(h) wrt h.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/15 - 22*n**2 - 9. Let v(y) be the second derivative of 0 + 0*y**2 - 2*y - 1\/2*y**3. What is v(h(r))?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 2\/(-9)*3. Let l = -5 + 0. Which is the closest to 0? (a) 0.3 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -72*j**3 + 19*j**2 - 37*j + 3. What is k(5)?\nAnswer: -8707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 567*f = 563*f + 23, 5*h + 46 = 3*f. Which is the third smallest value? (a) h (b) -10 (c) 0.3 (d) 1.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103075 = -5*g - 361925. Round g to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n = 11*n + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32cbb8 + -4?\nAnswer: -32cbbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37564163, 37564162, 37564161, 37564160?\nAnswer: 37564159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 12 + 0*u + 0*u**2 - 5\/3*u**3. Let x(n) = -n. Calculate v(x(w)).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309 + 391. Let l(b) = 38*b + 11. Calculate the remainder when a is divided by l(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2977 or 2978?\nAnswer: 2977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 16*v**2 + 16*v + 15. Let q be d(-15). Let z = -7 - -10. Suppose -11 = -3*y + a, -17 = -z*y - a - 4*a. Solve g + q*g = y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*o - 5 + 6 - 4.\nAnswer: 96*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1727613, 1727624, 1727635, 1727646?\nAnswer: 1727657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**5 + 4*f**5 + 2*f**5)*(-11 - 20 + 49).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-2\/9)))\/((k*k\/k**(-2\/7))\/k))**32\/(k**(7\/3)*k*k*k*k\/(k\/(k\/((k*k\/(k\/k**7))\/k))))**(7\/12) assuming k is positive.\nAnswer: k**(-6031\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3984\/1456 - 488\/1586?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*j**2 + j + 4*j - 2*j - 4*j + 119*j**2 + 82*j**3 to the form r + f*j**3 + v*j + x*j**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-7)\/(56\/16))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-126)\/28)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -0.5, 179, 5, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - (-4 + (-583788)\/(-138240)). Is t smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 9*v + 267. Solve 0 = 8*s - 10 + v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3990587 and 44079?\nAnswer: 44079.3990587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + 1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 v, and 1 u when three letters picked without replacement from uvruzxzk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10684 + -96418\/9. Let g = o + 29. Which is the smallest value? (a) 4 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*i - 4. Let p be 20\/12*i*1. Solve -p*b = 10, -4*j + 4 - 18 = -b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94111.884396382 - 0.3.\nAnswer: 94111.584396382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 162?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let g = 6 - 4. Let a(l) = 4*l**g - 3*l**2 - 3*l**2 + 4*l**2. Calculate u(a(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -725644\/59 or -12299?\nAnswer: -12299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-60) - (1 + (63\/(-27) - -3))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*1)\/(-4)*(-3)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.019 - 0.019. Let i = -56 + y. Which is the nearest to -1\/3? (a) -0.08 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = 4. What is the units digit of 2460\/36 - x\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*i**2 - 5*i**2 + 89*i**2)*(3 - 1 - 4).\nAnswer: -324*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/31)\/f**40 assuming f is positive.\nAnswer: f**(-1241\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.63 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 + 1. Let j be o(6). Let s = 8644.96 - 8645. Let r(m) = 2*m - 1. Let h be r(3). Which is the biggest value? (a) j (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60 - t**2 + 666*t**4 + 288*t**4 + 65*t**4 wrt t.\nAnswer: 24456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-144)\/112 - 2\/(-7). Let j(l) = l**3 + l. Let w(a) = 15*a**3 + 10*a**2 - 6*a. Let r(i) = u*w(i) - 6*j(i). What is the third derivative of r(t) wrt t?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -7a?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 523.\nAnswer: -1\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -0*f + 2*f. Suppose 515 = -190*w - 140*w - 805. Put f, w, -3 in descending order.\nAnswer: -3, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*s - 0*s - 122, 0 = 4*o + 5*s - 235. Suppose 2097*r - 12915 = 1974*r. What is the highest common divisor of o and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3*(-14 + -1). Let y(k) = k**2 - 5*k + 3. Let o be y(l). What is the second derivative of -i + 0*i**o + 0*i**3 - 3*i**4 + 2*i**4 wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117 or 6840368?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i + 863268 = 262*i. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5174 + -472?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -102420411 (base 5) in base 15?\nAnswer: -8918b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 33*x - 29\/12*x**4 - 1\/6*x**3 + 0 + 20*x**2. Find the first derivative of m(u) wrt u.\nAnswer: -58*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6863153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**26\/(j\/(j**(1\/46)\/j))*j\/j**25*j*j*j**0)**(-24) assuming j is positive.\nAnswer: j**(-1116\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -173*t**3 + 281*t**2 - 281*t**2 + (4 + 2*t - 4)*(0*t**2 + 0*t**2 + 2*t**2) - t**3 + 3*t**3 + 0*t**3.\nAnswer: -167*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3865, 3215, 2519, 1777?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17568\/117 - (22\/(-26) - -1). Let d = v - 98. 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 = 5 - 4. Suppose b + 24 = 5*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 49938802.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 6932394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11592*a**3*b*u + 1154*a*b*u - b*u + 5*u wrt a?\nAnswer: 69552*a*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86690)\/7848 + 349245\/31044 + 4\/(-18).\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19772 + -12384. Is 43 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 713.94 - 714. What is the nearest to 0.1 in v, -2, -4\/5, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5448 and 16344.\nAnswer: 16344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + -1*sqrt(200) + sqrt(200) + sqrt(200) + -1 + 0 - ((0 + sqrt(200) + -4)**2 + 0)).\nAnswer: -360*sqrt(2) + 884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1867.391 litres to millilitres.\nAnswer: 1867391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109.928708 rounded to the nearest ten?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3282834 and 4.\nAnswer: 13131336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/(c**(1\/12)*c))**31\/(((c\/(c**2*c))\/c*c)**(2\/9))**(-3\/2) assuming c is positive.\nAnswer: c**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f - 47*f = 0. Let v be 0*(1 + 0) + 1. Suppose z + 4 - v = f. Sort 1, z, 12 in descending order.\nAnswer: 12, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, f: 1, v: 6, a: 1, o: 2}. Give prob of sequence ojo.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8738198 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 464*v + 5836. Calculate x(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2274783*k**3 + 6*k**2 + 6047324*k wrt k?\nAnswer: 13648698*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 2*r**2 + 4*r - 2. Let y be g(1). Let j be (-2)\/4*(-68)\/2. Solve -y = -4*w + j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlx when three letters picked without replacement from {v: 2, x: 5, l: 13}?\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3487000 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -15. Let l = -20 - d. Solve -15 = -3*v - l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14157170 divided by -5\nAnswer: -2831434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -595*v. Let o(m) be the second derivative of m**4\/4 + 24*m + 27. Calculate o(c(z)).\nAnswer: 1062075*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -0.08 (c) 4\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.003?\nAnswer: 3.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -331272956 divided by -23?\nAnswer: 14403172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29803 is divided by 7444.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94.19 + -52209759.\nAnswer: -52209853.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 - 5 + 4*w + w**3 + 0*w - 3*w - 2*w. Let s(v) = -2*v**3 + 3*v**2 + 2*v + 8. Determine 8*q(o) + 5*s(o).\nAnswer: -2*o**3 - o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 52 = -5*d, -699*d + 131 = 7*g - 697*d for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 4. Let c be x(2). Suppose -c*w - l = -7 + 2, -5*w + 15 = 5*l. Factor 0*b**3 - 1\/2*b**4 - 1\/2 + 0*b + b**w.\nAnswer: -(b - 1)**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2. Let t(j) be the second derivative of 0*j**2 + 1\/2*j**3 - 3*j + 0. Give t(n(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49865140 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 33\/(-2 - 1)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*s**3 + 215*a*s**2 - 5*a*s - 104*a - 45*s**3 + 268*s**2 + 115 wrt a.\nAnswer: s**3 + 215*s**2 - 5*s - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = -7. Calculate the remainder when (-188)\/(-12) - 2\/(-6) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1954*b. Let x(q) = 875*q. Give x(u(m)).\nAnswer: 1709750*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 86. Let g = h + -55. Calculate the remainder when g is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14336100 rounded to the nearest 100000?\nAnswer: 14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - 38512.\nAnswer: -38519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 2, g: 1, a: 1, y: 4}. What is prob of picking 2 y, 1 o, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15a3 + -1574?\nAnswer: -2b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4061 - -4076. Let x(m) = 14*m. What is the remainder when x(3) is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/180 and ((-7)\/(-54))\/(-5 - (-554)\/114).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 11) in base 8?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - x. What is the lowest common multiple of 12 and q(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(72))*3 - (sqrt(18) - (sqrt(162) + 2*sqrt(162) + sqrt(162))\/sqrt(9) - sqrt(18)))\/(sqrt(36)\/(sqrt(6) + sqrt(18)\/sqrt(3))*-5).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b + 6 + 3\/10*b**4 + 1\/5*b**3 - 3\/5*b**2 - 3\/25*b**5. Determine z, given that i(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - (-7 + 18) - 13)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253371334343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/((-5)\/(-50))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 0 (c) -1.56 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -30*i**2 + 8 + i + 36*i**2 - 4*i - 4*i - i**3. Let k be n(4). Solve 0 = -0*w + 4*w + k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 694 + 694 + b**2 + 686 - 2754 + 2*b + 116*b**3 + 691 as d*b**3 + t*b + y*b**2 + c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*c + q, 6392*c = 6389*c + q + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*x = -6, 0*k - 2*x - 16 = -3*k. Suppose -1 = k*j + 7. Put j, -3, 5 in decreasing order.\nAnswer: 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330617 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, -3\/5, -2\/13, -2, 258, 3, -8.24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138883\/30 + 4630. Find the common denominator of 43\/618 and z.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 237858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*q - 120*q + 61803. Is 761 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 8179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 668816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/6 + 21\/42)\/(-2 - 0).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (-21)\/6)\/(2\/4). Let r be (3 - 8 - v)*1\/(-2). Suppose 0 = 7*d - 2*d - 25, r*o = 3*d + 49. Calculate the remainder when 93 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ata when three letters picked without replacement from kdtdakttatdddkd?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (sqrt(243) + sqrt(243) + -2*sqrt(243))*-6)**2 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 442*c - 8 + 5*c**3 + 438*c as w*c**3 + s + b*c**2 + t*c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 13 = h, -18*h = -9*p - 10*h + 90 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127187841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68)\/sqrt(4) + -4)*-6 - (sqrt(17) + sqrt(17) + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + 2))) + 1 + 2 + sqrt(17)))**2 + -1.\nAnswer: 290*sqrt(17) + 1265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*f = 30 + 30 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.194 - -0.036. Let m = -1.57 - x. Let i = m - -2. Which is the closest to 0? (a) 3\/5 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 101955684*p**4 + 340012149 wrt p?\nAnswer: 407822736*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 3*h**2 + 8*h**3 - 7*h**3. Let t(y) = -2*y**2. Calculate 2*i(c) + 7*t(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/11 and -63\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 13*f + 0*f - f + 20*f**2 - f**3 + 14 + 5*f + 2*f. Give i(21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 60 = -l, 5*l - 7*i - 300 = -6*i. Is 5*((-3)\/(l\/(-3772)) + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 13*j**2 + 12*j - 12. Suppose -5*x = -4*z + 48, 0 = 80*z - 79*z - 5*x - 12. Give q(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from uacrcr?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.836 + 0.164. What is the nearest to g in -2\/3, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (63\/2)\/(3\/6) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2 + 9814668*q + 24081926987556 = 0?\nAnswer: -4907334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 + -11. Let h be 22\/6 + 3\/j. Let v(d) = d**3 - 6*d**2 + 6*d - 5. Let u be v(5). Solve -4*f - h*a + 24 = 0, 0*f - f + 5*a - 12 = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 134972?\nAnswer: -26994.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*a**6 - 5059*a**5*g**2 + 5*a**2*g**2 - 4*a**2 - 5*a*g**2 - 5*a - 8*g wrt a?\nAnswer: -21960*a**3 - 303540*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 658\/(-188) + (-62)\/(-4). Solve -15*w = -18*w + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*g - 3*g - 3 = 0, 3*g = 0. Let h = -24 - -28. Suppose -d*p - 3*a = -177, -h*a + 10 = p - 43. Calculate the remainder when p is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 + (-11662)\/136)*(-32)\/12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*6\/(-420))\/((-24)\/28)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-27)\/4)\/3)\/(132\/(-528)). Suppose 0 = 2*y + y + 21. Let x = i + y. Put -2, x, -4 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 445900, 445887, 445874, 445861?\n\"Answer: -13*l + 445913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*i + 3 = 11, 2 = -2*i. Let y be 3\/6*k + 10\/4. Solve -2*b - 8 = 4*s, -4*b - 17 + y = -5*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6380, -9932, -13484, -17036, -20588, -24140?\nAnswer: -27692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a*t**3 - 4*a*t - 2*p*t**5 + 642*p*t**2 + 6*p*t - 12*p wrt t.\nAnswer: -12*a*t - 40*p*t**3 + 1284*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeereaeeeeeeee. Give prob of picking 3 e and 1 a.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 1. Let a(c) = -2*c**2 + c - 1. Let k = 191 - 190. Determine k*a(v) + z(v).\nAnswer: -3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**3 - 5*o**3 + 5*o**3)*(-4*o + 4*o + o**2) + o**5 + 5*o**5 - 4*o**5 + 3*o**5 - 3 + 3.\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q**3 - 9*q - 2. Let t(p) = 4*p**3 + 5*p + 1. Give -3*g(s) - 5*t(s).\nAnswer: 4*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -191. Let t be o\/(-16) + 2\/8. Find the third derivative of t - p**3 + 22*p**2 - 5 - 1 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010477 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -5 + 8 + (0 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/7, 0.5, 4, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75\/4 of a second?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200243318 a multiple of 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/6)\/(5\/6). Let k be 12\/18 - (-10)\/3. Sort y, -1, k in decreasing order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/56 + (-1870)\/(-16). What is the common denominator of ((-66)\/(-108))\/((-3)\/p) and 13\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/8 - 431589*a\/8 - 4746027\/2.\nAnswer: -3*(a + 44)*(a + 143819)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - ((sqrt(108) + sqrt(108)*-1 - sqrt(108)) + sqrt(12)) - (sqrt(12) + (sqrt(192) - sqrt(192)*-2)))\/(sqrt(12)\/(-1*sqrt(18)\/sqrt(6))).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**4\/4 - 2*o**3 - 5*o**2\/2 - 10*o + 12. What are the prime factors of p(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5948\/(-14870)*((-3081)\/15 + (-6)\/(-15))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/32 and -85\/122?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(-3*b**2 - 3*b**2 + 4*b**2)*(-84*b - 2 + 0 + 85*b) to i*b**3 + t*b**2 + d*b + p and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*1.78\nAnswer: 1.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1.16086 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.21, 752\/9, 5?\nAnswer: 752\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 + d**4 + 2*d**4)*(37 + 258 + 132 - 22).\nAnswer: 1215*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 99 and 4693.52.\nAnswer: 4792.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -7\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*j**2 - 7*j**2 + 89*j**2 + 25*j**2 + 96*j**2 - 16*j**2)*(-8*j - 103 + 103).\nAnswer: -2376*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-75)*-61859 + (-6)\/15. Let a = w + -7424. What is the common denominator of -22\/25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10737922021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztzoqwqqq. What is prob of sequence qw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 12*l**2.\nAnswer: -2*l**2*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) 1\/3 (c) -0.3 (d) 13 (e) -12 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 19224\nAnswer: -711288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31, -47, -77, -121, -179?\n\"Answer: -7*b**2 + 5*b - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 59 - 229 = 0. Suppose -y + 4*w + 51 = 0, -5*w = 4*y - y - t. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/9 + 4\/9*p + 2\/9*p**2 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31563188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343 - -510. Suppose -v*n = -168*n + 513. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*a - 32 = -a, a = -5*j - 56. Let s be 3\/j + (42\/8)\/1. Solve -4 = 3*k + s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -1)\/(-1*(-1)\/2). What is the units digit of 90*(9\/10 + (-4)\/t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26381719 = -29*x - 28*x - 34*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 2. Let s(i) = 6*i + 2. Let k(b) = 5*b + 2. Let f(x) = 4*k(x) - 3*s(x). Let r be f(3). Is 3 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 192\/240*(-5)\/(-14). Is o < 3.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(245) + sqrt(3))**2 + -2.\nAnswer: 94\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.414 and 6654.\nAnswer: 9408.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*d**3 - b + d**3 - d**2 + 75*d wrt d.\nAnswer: -18*b*d + 6*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzwww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37663 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10808, -21614, -32420, -43226, -54032?\nAnswer: -64838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -201632 (base 7) in base 2?\nAnswer: -1000010111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:46 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/351 and 35\/312.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 + 403 = -112*g + 31*g. What is the smallest value in -1, -2296, g?\nAnswer: -2296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8182404 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 980437 + -1460437. Round u to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9*p**22 assuming p is positive.\nAnswer: p**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 12:22 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 8 in increasing order.\nAnswer: -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -525, 7103, 5 in ascending order.\nAnswer: -525, 5, 7103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*i = -11, 18*s - 21*s - i - 5 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1\/13, 5\/26, -1, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 74761704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 32, -40, 12, 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -454 - -3181\/7. Put 1.27, 2\/15, 0, r in increasing order.\nAnswer: 0, 2\/15, r, 1.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235*j*k - j*m**4 + 2*j*m**2 - 5*k*m**2 + k wrt m?\nAnswer: -4*j*m**3 + 4*j*m - 10*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -628.86921 - -4.77221. Let z = -624 - b. Which is smaller: -0.2 or z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10120101010210 (base 3) to base 14.\nAnswer: 375452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2619663 by 137877.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -21. Suppose -28 = -u*b + 12. Calculate the lowest common multiple of 5 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 13*q**2 - 3*q - 8. Let b be l(-2). Let p = b + -47. Solve -8*r + 5*r = p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35091 is divided by 3190.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2. Let m(f) = -f**2. Let r(h) = 12*h**2. Let a(v) = 16*m(v) + r(v). Give s(a(o)).\nAnswer: -80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 81. Suppose -5*o + 2*j - 139 - 267 = 0, 3*j = l*o + 404. Let a = 88 + o. Calculate the smallest common multiple of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4570 - -4605. What is the remainder when 174 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*(40\/(-240))\/(1\/4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8649.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*y = -2527, -5*h - y + 473 = -12120. Is h a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282434 is divided by 150.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 358 = 3*p, -3*a + 587 = 7*p - 2*p. Calculate the remainder when p is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*g**2 + 587*g**2 + 496*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.94 (b) 1\/4 (c) -0.4 (d) -2\/7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from {w: 4, m: 5, p: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18011371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5.99. Let j = -2.84 - 1.17. Let t = j - l. Is t bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -38) + (-4 - (0 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1947.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 27, 39, 55, 75, 99, 127?\n\"Answer: 2*k**2 + 2*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 192*q - 90*q + 47*q - 1.\nAnswer: -235*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 - 17682407*q**5 - 182*q**2 - 6*q - 17346 wrt q?\nAnswer: -480*q**3 - 1060944420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 10100001011101110?\nAnswer: 10100001011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - i - 3 = 2*i, 13 = -5*y - 4*i. Let f be (-5)\/(-12)*108\/240. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19390)\/(-350) + 2\/(-10)*2. Suppose -r*h - 17 = -56*h. Calculate the remainder when 198 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 + 5*h + 6. Suppose -3*q + 8*x = 3*x - 20, 5*x = 2*q - 15. Let c be d(q). Solve b = 3*u - 5*u - 8, 3*b - c = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2626 + 2814. Calculate the remainder when z is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9 - 3. Suppose 3*u = 3*z - u - 88, 106 = 3*z + 5*u. Suppose 0*j = d*j - z. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a = -111*a - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006082789537 to five decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20478, -20570, -20646, -20700, -20726?\nAnswer: -20718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*111\/(-108) + -8. Let -f*k**5 + 4\/9*k**4 + 0*k**2 + 0*k - 2\/9*k**3 + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3 - 7*o**2\/2 - 7*o - 209. Let l(p) = -p - 1. What is -5*l(h) + v(h)?\nAnswer: -3*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + l - 17*l**2 + l - 17*l**3 + 41*l**3 - 26*l**3 to n*l**3 + a + w*l + p*l**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.372 + -0.328. Let z = 2.54 + 0.76. Let f = z - n. Which is the third biggest value? (a) 2\/3 (b) -4 (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -105*i + 5528. What is the remainder when o(-100) is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277911234 a multiple of 1483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**3 - 2*u**2 - 8*u + 5. Let j(o) = o**2 + o. Let s(y) = -b(y) - 4*j(y). List the prime factors of s(-3).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/1785 and -30\/12841.\nAnswer: 22921185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, 39, 169, 423, 843, 1471?\n\"Answer: 7*c**3 - c**2 + 2*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.308 - -52.258. Let u be ((-1)\/(-22))\/((-2)\/(-8)). Sort 1\/3, u, -0.4, p.\nAnswer: -0.4, p, u, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -15*z**2 + 1430*z - 469. What is i(95)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 + 153. Suppose -5*p + 4*u - g = 0, -5*p + 5*u = 3*u + 67. Let d(y) = -6*y - 12. Let c be d(p). What is the greatest common factor of 22 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*x + 1 - 1 + 73*x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -52, -76, -110?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3600*u**2 + 702*u**2 - 11846 + 11846 + (0 + 0 - 1)*(u**2 - u**2 - 5*u**2).\nAnswer: -2893*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400239*a**6 + a**4 - 378509*a**2 wrt a.\nAnswer: 48028680*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 8:55 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 30 = 0, 12*i + 37 = -154*a + 156*a - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3173*g + 9485. Calculate i(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 1, j: 2, h: 2, t: 1}. What is prob of sequence ht?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Sort 0, y, 4 in descending order.\nAnswer: 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + -7 + -1 + -34 + 41)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/835? (a) 0.5 (b) -0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 + 81*j**3 + 22*j**2 - 19*j**2 + 3*j - 84*j**3 in the form u*j**2 + s*j**3 + c + f*j and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 - a. Let y = 7 + -11. Let h(k) = -k - 6. Let d be h(-9). Let x(u) = -21*u + 596*u**2 + 19*u - 1198*u**2 + 599*u**2. What is d*x(f) + y*r(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 22183433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -160*n + 11. Is 18 a factor of c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 18 - 21 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 16. Let l be x(11). Suppose -4*v + l*v = 1. Suppose 0 = 4*d - 13 + 1. Solve -2*n + 9 = -3*j, n + 5*j - d*j - v = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:11 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1.9, -0.3, 2\/9, -0.8 in decreasing order.\nAnswer: 1.9, 2\/9, -0.3, -0.8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21520431 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (25418\/46150 - 3\/13)\/(4\/(-10))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/28, 6, 12, -1\/12 in ascending order.\nAnswer: -13\/28, -1\/12, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by 81?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*k - 46, 5*s + k = 6*k + 55. Suppose 5*n + 3*o - 21 = o, 0 = -4*n + 2*o + 6. Let j(r) = 5 + 3*r - 2*r - n. Give j(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 489 + -499. Put y, -0.3, -2 in increasing order.\nAnswer: y, -2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1573\/748 - (-1 - -2). Let k = -937\/476 - y. What is the common denominator of k and 79\/200?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4501, 8995, 13489, 17983?\nAnswer: 22477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9135 - -26302. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**4))**(-2\/63)*n**(-8)\/n**(-2\/19) assuming n is positive.\nAnswer: n**(-9602\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(152)*-3 - 3*2*sqrt(152))\/((sqrt(648)*-1*5 - sqrt(648)) + sqrt(648))*5.\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (702\/2457)\/(((-1)\/6)\/(3\/4)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 70029 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/2)\/(195\/(-26))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b. Let i(m) = 3*m. Let f(x) = 4*d(x) - 2*i(x). Let h(o) = -4*o**2. Determine f(h(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -795.3 - -795.66. Put s, -0.3, -2 in decreasing order.\nAnswer: s, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1, -15, -5, -148, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -537444 (base 13) to base 3\nAnswer: -10200111020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 9) to base 5\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 h when two letters picked without replacement from {l: 4, q: 1, b: 3, e: 2, o: 2, h: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 6836999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 28524.07 litres?\nAnswer: 28524070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14494.2 - -31753\nAnswer: 17258.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*f**2 - 1438*f**2 + 379*f**2 + 365*f**2 + 356*f**2.\nAnswer: 28*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/2040257 and -81\/876352.\nAnswer: 130576448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000316347 to 7 dps.\nAnswer: 0.0000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 15*j**2 + 13*j - 8. Let r be p(-14). What is the third derivative of 96*q**6 + 0*q**3 - 97*q**6 + r*q**2 + 0*q**3 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 2)\/(-5 - -3) - -4. Suppose -d - 213 = -f*q, -3*d + 0*d = -q + 607. What is the hundreds digit of (d\/(-3))\/(-5*1\/(-15))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1178 - 1374?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00441 - -415215.\nAnswer: 415214.99559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 20) + 1 + 4 + 2 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-56) - 3\/(12\/4477). Let s = j + 1121. Suppose o - 5*v - 65 = 18, 148 = 2*o - 4*v. Calculate the least common multiple of s and o.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 + 3*h + 1. Let v be q(-3). Let o = -0.0214 + 0.3214. What is the fourth smallest value in o, 4, v, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*((-42)\/30 + 1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -29*a**2 + 5*a + 24. Let g(f) = 64*f**2 + 12*f - 73*f**2 - 78*f**2 + 71 + 2*f. Let k(n) = 3*g(n) - 8*u(n). Differentiate k(p) with respect to p.\nAnswer: -58*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -76*f - 42*f + 49. Let u(g) be the first derivative of -1\/3*g**f + 5\/9*g**3 + 0*g + 4. Let u(m) = 0. Calculate m.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 - 2*n**3 + 5*n**2\/2 + 1. Let i be k(5). Let h = 23 - 22. Solve -s + q - h = i, 0*q = 2*s + q - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*u = -129, 0*u + 106 = 2*c - 4*u. Let r(a) = -9*a + 3. Let k be r(-5). Are k and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -2, 1\/2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-112)\/440*(-10)\/(-8) + 2 and 133\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, 172, 5?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 213\/64 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 2*r - 14*r. Let g(n) be the first derivative of n**3 - 2. Determine j(g(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -4*u + 86. Let x be (u + 13\/(-2))*10\/3. Which is smaller: -17\/3 or x?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9087762 - -18.638.\nAnswer: -9087743.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 12781 divided by -3?\nAnswer: -12781\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 11*z**2 - 9*z - 11. Let f be v(12). Let r = f + -25. Is r\/4 + 3 - -22 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246308323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 14 = -12 + 40 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 22*h**2 + 23*h. Let z be -8 + 264\/32 - 91\/(-4). Let v be g(z). Let x be (-3 + 1)*(3 - 1). Put v, 5, 1, x in descending order.\nAnswer: 5, 1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 1 - 3 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**4 + 1048 - 5*t**2 - 1051 - 4*t + 3*t - 4*t**2 wrt t.\nAnswer: -60*t**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -2\/9, 1, 103 in decreasing order.\nAnswer: 103, 3, 1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 68?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7089 and 9129.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 0*c - 3*c**5 + (-2 + c + 2)*(-3*c + c + c)*(-3*c**3 + 3*c**3 + 2*c**3).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 358907*k**3 - 358810*k**3 + 5*k + 717716*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 2 = 4*t, 24*u - 20*u + 18 = 5*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 47, 0.8, 7\/5, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + g + 47. Let l be v(-6). Solve 3 = 4*s - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2. Let z(t) = 234884210*t**2. Determine b(z(y)).\nAnswer: 55170592107324100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -20*d**5 + 176*d**4 - 588*d**3 + 928*d**2 - 688*d + 192 = 0.\nAnswer: 4\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*t = -24, 3548*t = 3*n + 3544*t - 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61063, -122105, -183147?\n\"Answer: -61042*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 1.3, -2, -12\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -3*x + 42. Let j(o) = o**3 + 6*o**2 - 7*o - 16. List the prime factors of j(x).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 9. Let j be q(2). Suppose 0 = 3*g - 15 - 12. Suppose 5*f - g = 26. Calculate the greatest common divisor of f and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 2 - 7)*(2 - 2 + g**2) + g**2 - 2*g**2 + 0*g**2 + (2*g + 1 - 1)*(-4*g + 3*g + 3*g) + 2*g**2 + 2 - 2 to the form r*g**2 + i*g + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Suppose 3 = -5*w - 12. Let s be (-9)\/21*4\/3. Which is the closest to v? (a) 2 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 2017744980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 204259964 - 40472207. Suppose 47404081 = 4*q - i. Suppose -4*h - 5*m - 20400000 = 0, -q = 5*h - 8*m + 4*m. Round h to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 16*i**2 + 38*i - 8. Let x be g(-13). Suppose 4*k - x - 7 = 0. Solve 55*p - 58*p + k = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -426, -853, -1280?\n\"Answer: -427*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2249 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514848 is divided by 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 665 and 157593695?\nAnswer: 157593695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 417327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -197, 0, 8, -4, -546 in ascending order.\nAnswer: -546, -197, -4, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 1397.\nAnswer: 5588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = 4*d - 13*a, 0 = -3*d - 4*a - 5. Let w be (-10)\/15 + d\/3. Sort -2, -5, w in ascending order.\nAnswer: -5, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 342106732 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:22 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -7 + (77 - 46 - 3)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/243 and 109\/11250414.\nAnswer: 11250414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - z + 2. Let h be v(0). Let b(s) = s**2 + s**2 - s**h. Let n(k) = 28*k. Let d(u) = 150*u. Let o(p) = -3*d(p) + 16*n(p). What is o(b(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/7 - 2*b**3\/7 - 6*b**2\/7 + 2*b\/7 + 4\/7.\nAnswer: 2*(b - 2)*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m**2 - 17*m - 28. Let l = -29 + 22. Let w(v) = 3*v**2 + 6*v + 9. Let y(n) = l*w(n) - 2*t(n). Determine y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(68))*6 + 1*sqrt(68)*2 + 4.\nAnswer: -20*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8230 - 8281. What is the smallest value in 25\/2, n, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3332 = 3*m + 178. Let d be ((-3)\/5)\/(18\/m). Calculate the highest common factor of 39 and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*t**3 + 5199*t - 297300.\nAnswer: -123*t**2 + 5199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:26 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 22*b + 34 + 71 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-36))\/((-52)\/1326) - (-5)\/(-15)*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -20. Let d(r) = 8. Let c(k) = 5*b(k) + 12*d(k). Let m(h) be the first derivative of -h**2\/2 - 5*h - 48959. What is 5*c(q) - 4*m(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**2\/2 + 1. Let t(o) = -2*o**2 + 5*o - 1. Let g(l) = -4*q(l) + t(l). Let m be 0 + (5 - (5 + 2)). Determine g(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27415101*f**3*s - 3*f**2*s + 3*f**2 - 2*f*s + 2*f - 55*s + 652 wrt f?\nAnswer: -164490606*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373260 and 62210?\nAnswer: 373260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000602083 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 5*h - 9336, -66 = -3*h - 57. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3872675 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 + -2 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and 374.\nAnswer: 373.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2200.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*j + 86, 2*w - 3*j = 2*j - 139. Let q be 11\/w + 15*(-1)\/(-7). What is the second derivative of 893*k - 23*k**q - 916*k - 1 + 1 wrt k?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-one quarters of a millisecond?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 + 0\/2. Let z = 557.86 + -559.86. Let w = 8293\/26 - 319. Which is the fourth smallest value? (a) z (b) w (c) t (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/9 + 56*g**3\/9 + 106*g**2\/9 + 52*g\/9.\nAnswer: 2*g*(g + 1)**2*(g + 26)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 555*m - 564*m. Put 5, m, -21, 1 in decreasing order.\nAnswer: 5, 1, m, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -13 + -3 + 4 + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -4\/5, 10\/3, -21, -3 in decreasing order.\nAnswer: 10\/3, 3, -4\/5, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -266 times -0.5\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 15) in base 16?\nAnswer: -f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - l - 1. Let b(h) = -2*h**3 - 7*h**2 + h + 3. What is -b(d) - f(d)?\nAnswer: d**3 + 8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*c + 722, 5*t + 354 = 2*c - 356. Is c a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162294, 162282, 162258, 162216, 162150, 162054, 161922?\nAnswer: 161748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*g = -10, -9 = -3*d - 5*g - 3. Let a(m) = 0 - d + 2 + m - m**2. What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547 + 2*k**3 + 3*k**2 - 3*k**3 - 1133.\nAnswer: -k**3 + 3*k**2 - 1680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.5. Let l be 0 + 1*(-10 - -6). Let y be 2\/l*((-5)\/(-2) + 0). Sort y, 2, o in decreasing order.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*f + 3*c + 2 = 91*f, -3*f - 4*c = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -4 + (2 - 1). Suppose -g + 13 + 2 = 0. Suppose 0*h - g = -3*h. Solve p + y*s + 10 = 1, -5*p - h*s = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233866 is divided by 751.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q - 5*q - 3*q)*((1 - 1 - 3*q)*(-2 + 2 - 1) + (-q - 2*q + 4*q)*(3 - 1 + 0)) in the form k + c*q + o*q**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 25 + 5*i - 17*i)*(3 - 1 + 0)*(3*i + 3*i + 2*i)*(3*i**2 - 2*i**2 - 2*i**2).\nAnswer: 192*i**4 - 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*o, 3 = -0*b - b - 4*o. Let v(w) = 2*w - 7. Let r be ((-27)\/12)\/(12\/(-32)). Let d be v(r). Calculate the greatest common divisor of d and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -533.98800008 - -534. Let o = -1.988 - -2. Let z = d - o. What is z rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5646+380813.9\nAnswer: 375167.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 2. Let a be u(-5). Solve -15 = 6*f - a*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3824563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 0.1, -42635, 48, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-182)\/((-174)\/21 + 8) and 728?\nAnswer: 5096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**10\/10080 - s**9\/5040 + s**4\/6 + s**2. Let m(c) be the second derivative of o(c). Find w such that m(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 x when four letters picked without replacement from {e: 1, m: 6, x: 8, c: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57 by -163070.\nAnswer: -57\/163070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 406 (base 11) to base 2\nAnswer: 111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.9929t?\nAnswer: 5992900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 6450300?\nAnswer: 6450277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.062\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x**2\/x)\/((x*x\/(x*(x\/(x*x**2))\/x))\/(x*x*x**(3\/2)*x)) assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 1379*g**2\/2 - 628*g - 262. Differentiate o(w) wrt w.\nAnswer: 1379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 4*g + 2 - 2.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 551?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43722450?\nAnswer: 2, 3, 5, 139, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(-33*i - 23*i - 54*i) in the form q*i + u and give q.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3069683533.\nAnswer: 7, 113, 3880763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -29. Let w = 13.7 + -14.7. Which is the nearest to 0.2? (a) m (b) 0.04 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c - 2*c)*(2*c**3 + 3 - 3) + 4*c**4 - 3*c**4 + c**4 + c**4 - 1 + 1 + 6*c**4 - 3 + 3 + 16*c**2 + 9*c**4 - 2*c**4 - 4*c**4.\nAnswer: 8*c**4 + 16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 - -667\/7. Let z = 2336 - 2334.0224. Let v = 0.0224 + z. What is the second smallest value in -3, v, l, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1503501 (base 7) to base 5.\nAnswer: -22443314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49\/54 or 0?\nAnswer: -49\/54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.1 (c) 6\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c**3*n**2 + 2*c**3*n - c**3 - 22*c**2*n - 71*n**2 + 23 wrt n?\nAnswer: -64*c**3 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -222, -500, -778, -1056, -1334?\n\"Answer: -278*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.05 (c) 2 (d) 0 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -27*n**2 - 18. Let a(v) = v**2 + 1. Let o(q) = q**3 - 17*q**2 + 10*q + 78. Let d be (0 - -21) + (2 - 12)\/2. Let u be o(d). Give u*a(i) - c(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -0*i - 2*b - 6, 0 = -3*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (21 - 31) + (3 - 0) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 21. Let z = 1835 - 7341\/4. Let f = 5 + -13. Which is the smallest value? (a) z (b) 5 (c) k (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2766 divided by -2766.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30106 < 30107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1144 + 2174. Let s = x + 1716. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 12*t - 18*t + 32*t - 2*t + 0 + 0 + (-2 - t + 2)*(0 - 3 + 4) - t + 3 - 3 + (-2*t + 0*t + 4*t)*(1 + 2 - 1) to a + l*t and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 = -7*o + 2*a, -132*o + 20*a + 9 = -131*o + 18*a for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 14}. Give prob of sequence qw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*m + 365 = -m, 2*r - 3*m - 167 = 0. Let l be (1 - -3) + -1 + 1. Suppose 36 = l*w - 28. Calculate the remainder when r is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*z = 11, 4*z = 19*k + 10888 - 10763 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2035, 1513, 637, -599, -2201, -4175, -6527?\n\"Answer: -n**3 - 171*n**2 - 2*n + 2209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*3\/(-78)*1. Let w(o) = -o**3 + 12. Let m be w(0). Let f = m + -17. Which is the third biggest value? (a) f (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 19*o**2 - 18*o - 14. Let r be g(-16). Let w = r - -494. Solve w = -15*p + 7*p + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m - 8. Let s = 43 - 44. Let f be a(s). Solve 0*h - h + 15 = 2*z, -f*h = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96652\/5 + 19152. Let q = -179 - r. What is the nearest to 0.2 in q, 3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.001021 + -0.001. What is p rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 108*d**3 + 673*d**2 - 756*d + 196.\nAnswer: (d + 14)**2*(2*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:32 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/(-228)*(10\/3)\/(-5). Which is smaller: v or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**2 + 4*m + 5. What is t(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 + 32. Calculate the remainder when z*((5 - 140\/15) + 4) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5809611, 5809594, 5809551, 5809470, 5809339, 5809146, 5808879?\nAnswer: 5808526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -61.95115651442 and -10.\nAnswer: -71.95115651442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.08 + 30.98. Let i = z + -22. Let j = i - 6. What is the nearest to 2 in -0.4, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/15*(2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411749967 minus -7.6?\nAnswer: 1411749974.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*v - 1346 = 492*v. Let z(q) be the third derivative of q**6\/240 + q**4\/24 + q**2. Let j(i) be the second derivative of z(i). Calculate j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u*u**(-2))\/(u\/(u*u\/(u*u**(-3\/5)*u))*u**5) assuming u is positive.\nAnswer: u**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -224*l + 5938 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 2457?\nAnswer: 73.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183605.\nAnswer: 5, 36721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201*d**2*f + 9053*d**2*p - 2*d*f*p - 5*d*f - 4*d wrt p?\nAnswer: 9053*d**2 - 2*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 12. Let j = -0.29 - -2.29. Let u = 702\/7 - 100. What is the smallest value in h, j, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - z - 7 = 0, 3*w + 1 - 3 = z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 849*r. Let m(k) = 48*k - 93*k + 43*k. Calculate q(m(f)).\nAnswer: -1698*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -911*r. Let u(m) = 17*m - 15*m + 3 + 0*m - 3. What is u(o(w))?\nAnswer: -1822*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -2402882.\nAnswer: -43\/1201441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 20 = -2*s. Let t(d) = -7*d**2 - 1671*d + 5004. Let i be t(3). Put 3, i, -4, s in decreasing order.\nAnswer: 3, -4, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 8) to base 16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 95270133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1793951mg?\nAnswer: 0.0000000001793951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 7*f**4 - 4*f**4 + f**4 + f + f**4 to x + b*f**2 + w*f**3 + a*f + n*f**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**4 + 40836*m**3 - 106397 wrt m.\nAnswer: 12*m**3 + 122508*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 38 + 447. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-115)\/(-15) - 7)\/((-4)\/(-18)). Suppose 4*y - 918 = 6*q - 11*q, c*y = -5*q + 921. What is the remainder when q is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t, z = -5*t - 15 + 752. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -80596702?\nAnswer: -483580212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 285 + 0*x**2 - 3\/4*x**4 + 6*x**3 + 0*x. Factor i(n).\nAnswer: -3*n**2*(n - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232058 or -232057?\nAnswer: -232058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*f + 122*f + 115*f.\nAnswer: 282*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8715289211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + b = -3*o - 9, b = -5*o - 15. Let t = o - -32. What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 (base 11) in base 2?\nAnswer: 1000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:41 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 11*n**2 - 25*n + 11. Let o be r(8). Solve 0 = -9*l + o*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-36) + (-196)\/(-9). Suppose 24*l + 150 = w*l. Let o = 172 + l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 + 3*p. Let c(o) = -4*o**2 + 3*o. Calculate -5*c(g) + 4*d(g).\nAnswer: 4*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -m + 4*g, m + 4*g - 167 = -4*m. Find the third derivative of 69*j**2 + 88*j**4 + 29*j**2 - m*j**4 wrt j.\nAnswer: 1272*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 6*a - 11*a + 22034 - 22033.\nAnswer: -33*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/((r**5*r)\/r))\/r))\/(r**(-6\/5)\/r*r)*r**0\/r**(-6) assuming r is positive.\nAnswer: r**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92891.39898 - 92887. Let x = b + -4.4. Round x to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/6*41\/(-1353))\/(342\/209)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30458?\nAnswer: 2, 97, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let y(p) = p**3 - 4*p. Let q be y(-2). Put -4, q, v in descending order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 - -140. Suppose -5*q - 5 = 0, -s*g + 14*q + 41 = 9*q. Solve -g = -4*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.03, -3\/31, 0.5, -282?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, s: 4, l: 3, n: 1, b: 1}. What is prob of sequence gn?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 + 20\/(-6))*(2 + 226)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + -5*(-1*sqrt(18) + sqrt(18)) + (sqrt(2592) - -2*sqrt(2592)))\/(sqrt(99)\/(sqrt(11) + (sqrt(275) - (sqrt(275)*2 + sqrt(275))))).\nAnswer: -333*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Suppose 10*p - q*p - 52 = 0. Let y = -63\/5 + p. What is the closest to 2\/3 in 4, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 387, -3, 10?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36613*m**4*u**2 - 12762*u**2 - 3*u with respect to m.\nAnswer: 146452*m**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 2*w + 10, 0 = r + 3*w + 4. Suppose o - 2*k - k = 11, -r*o + 23 = -5*k. What is the units digit of 102\/o - (-2)\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = -m + 2*a - 2, -4*m = -3*a + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*b = -114549, 91632 = 4*a + 15*b - 17*b. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4997, 9993, 14989, 19985?\n\"Answer: 4996*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -290946 and -0.49.\nAnswer: -290946.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 7. Let u be w(-4). Let x be (2 - 0)*u\/2. Find the second derivative of -x*d + 4*d - 4*d**4 + 2*d wrt d.\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10707 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 851104676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 27013 * -988\nAnswer: -26688844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + c**2 - 22 + 39.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49613947 is divided by 16537982.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9923136*c**4 + 2023883*c?\nAnswer: -119077632*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2 - 11*a - 5. Determine x(-4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -114. Solve p*s + 8*x = 3*x - 23, -1 = -4*s + 3*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534242 divided by -1494?\nAnswer: -5043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*t + 19 = -29, 0 = -2*a + 4*t + 30. Let n = a + -4. Let m = 7709 - 7708. Sort 4, n, m in increasing order.\nAnswer: m, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b + 2*b)*(-5 + 14 + 10)*(-2 - 2 + 2) - 4 + b + 4 in the form h*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 22 - 16 = 0. Let j be 1479994\/z - (9 - 12). What is j rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -40\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14147*c + 330 = 14257*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**33*f**(-32) assuming f is positive.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797949*0.5.\nAnswer: -398974.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 65.\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998124612 a multiple of 3518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 12*t**2 + 8*t + 52. Let w be p(-9). Suppose w = 3*f + o, -5*o + 75 = 3*f - 140. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -34 + (-54 - -96) + (71 - -2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.83 - -0.17. Let j = w - 12.9956. Round j to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 2*n + k + 41, 2*k = -5*n + 53. Suppose 15 = -4*a - 1, 3*a + 22 = 5*d. Let x = 3 + d. Solve 0 = -x*g - 4 + n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 196 - 2*z + 163.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/4096 and -57\/215296.\nAnswer: 3444736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 258.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/(-468) + 2*(-7)\/216*-15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*u + 3, -46 = -8859*l + 8861*l + 10*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/9 - 12808\/(-24). Let q = a + -527. Solve -4*n - 2*b = 10, -b = 4*b - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 + 71 = 0. Calculate the remainder when 35 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -771106.\nAnswer: -5\/771106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370326 and 51150.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.632011 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95, 3234, -3 in ascending order.\nAnswer: -95, -3, 3234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Let w(l) be the first derivative of l**4\/4 - l**3 - 5*l**2\/2 - 6*l + 2. Let f be w(5). Solve d*k - f = 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 11:43 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0898908 + 2.65.\nAnswer: 2.5601092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 933 + 7. What are the prime factors of c?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.03, -0.5, 2024?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 70*n**3 + 35*n**3 - 108*n**3 + 0*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from {u: 3, e: 2, q: 3, w: 1, m: 1, x: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 2564, 6704, 12742?\nAnswer: 20678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l + l)*(5 - 2 + 8 + (0 + 3 - 4)*(2 - 4 + 1) - 3 - 2 + 3).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 256 = 268 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.6*-7.\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 6. Calculate h(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 48555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from jtlljluluufjltotlt?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, k: 3}. Give prob of picking 1 y and 2 k.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5754 by -2.\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 + 8*q\/13 - 120\/13.\nAnswer: 2*(q - 6)*(q + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 2036720?\nAnswer: -2036730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 11*f - 18. Let g be v(6). Suppose -g*r + 9893 = -2575. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*d = 1473 + 7859 + 2647 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (31 + 42 + 53)*(-8*g**3 + 13*g**3 - 10*g**3) in the form h*g**3 + b + q*g**2 + d*g and give h.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/5 - 4*c**4\/5 + 2*c**3\/5 + 4*c**2\/5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d**3 - 14*d**2 + 11*d + 16. What is the hundreds digit of f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 65390?\nAnswer: 65390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231312 - -1210?\nAnswer: -1230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2188132 is divided by 7223?\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366558.646 - -16.\nAnswer: -366542.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 8. Suppose -c = 3*f - 45. Suppose 5*u - 2 = f, 0 = 3*o + 2*u - 14. Solve o*q - 2 = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.238 and -65598.\nAnswer: -65598.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -27 - 120. Let f = b + -35. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-1 + sqrt(3))*6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*z = 22, 3*z = 4*c + 8 - 28. Factor -m - 2*m + 2*m**2 + 2*m**c - 2*m**3 + m.\nAnswer: -2*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3872 and 5588?\nAnswer: 491744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from ftfttftftftt?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(90\/12))\/(((-24)\/21)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r - 6 = 3*z - 63*r, 3*r - 9 = 0. Let i = 0.33 + 0.67. Which is the biggest value? (a) 5 (b) z (c) i (d) 0.034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (3\/3 + -91). Let h = 64 - t. Calculate the remainder when (-5)\/(-7) - 8\/h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**3 - j**2 - 13*j + 13. Give f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 64*o + 2764 = -60*o, -4*o + 1392 = 2*q. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m + 12. Let j(t) = 13*t + 10. What is -7*j(g) + 6*o(g)?\nAnswer: -19*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0173 times 0.5\nAnswer: 0.00865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 + 19*y + 6. Determine g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.424*-0.14\nAnswer: 0.05936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 4 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57692267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from ubbclib?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/5 - 4*v**2 - 54*v\/5 - 36\/5.\nAnswer: -2*(v + 1)*(v + 3)*(v + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21508, 21521, 21534, 21547, 21560?\nAnswer: 21573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -7*v**4\/6 - 22*v**3\/3 - 6*v**2 + 16*v\/3 + 18. Factor a(r).\nAnswer: -2*(r + 1)*(r + 4)*(7*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o + 4*o**3 + 10*o + 8*o - 2*o - 5. What are the prime factors of v(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + (-195)\/(-20). Suppose 2*d = 7*d - 4*l - 25, 2*l - y = -2*d. What is the remainder when d is divided by (-1)\/((-1 - 0)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70762 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (27\/(-3))\/((-3)\/2). Let w be 4\/d*3\/2. What is the remainder when 19 is divided by 186\/36 + w\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1275 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 30 = 2*g. What is the remainder when 1252\/16 + (-2)\/8 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6966 and 14385564?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 1673.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -4338.\nAnswer: -1301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6643, 6645, 6647, 6649, 6651?\n\"Answer: 2*c + 6641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-1)\/((-11)\/(-1)))*(-190)\/(-475)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 5*p + 3 = 0. Let u = 7 - p. Suppose -12 - 4 = -u*l. What is the remainder when l is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**5 + 1686*i**4 - 29102*i**3 + 183426*i**2 - 471672*i + 415800 = 0. What is i?\nAnswer: 2, 3, 33\/5, 7, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -66 and -65 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 1. Let u(g) = -23*g - 1. Calculate -2*l(h) - u(h).\nAnswer: 25*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*f = z - 19, 5*f - 28 = -z. Let b be z*(1 + 15\/9). Let h(m) = -m**2 + 10*m - 6. Calculate the remainder when 19 is divided by h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 - -203. Let o = 68.00132 - z. What is o rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 127 = 3*c, 0 = -c - 3*i - 2*i + 51. Suppose 3*h = -m + 33 + 19, 5*m = -3*h + 296. Let v = m - c. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 20597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 101030, -36.6, -0.1?\nAnswer: -36.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 218, 473, 1154, 2471, 4634, 7853?\n\"Answer: 35*g**3 + 3*g**2 + g + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:27 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*i**2 + 0 - 5*i**4 - 5167*i**3 + i + 5170*i**3 - i**2 - i**2 as s*i + r + o*i**3 + w*i**4 + k*i**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/20)\/((-1187)\/2374)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 84 = 7*s. Solve s = b + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxzafgzfzzgz. What is prob of picking 1 x and 2 z?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/(1\/10). Let g be (-12)\/(-9)*1*36\/12. Put g, 2, k in decreasing order.\nAnswer: k, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -1 + 514*k + 520*k - 1561*k + 514*k. Let f(o) = 20*o + 1. What is 5*f(a) + 8*u(a)?\nAnswer: -4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**3*y**2 + 1350*t*y**2 - t + 9354*y**2 wrt t?\nAnswer: 3*t**2*y**2 + 1350*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (232 + -1)\/(-3). Let h(g) = 64*g**2 - 20*g - 6. Let t be h(-1). Suppose -y*j = -73*j - t. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*((-2483)\/117 - -21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1796020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**2 - 3*n**2 + 0*n**2 - n**2 in the form y + o*n + c*n**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48865\/114 != 429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274 - 273.99999766. Round v to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -23*w**4 + 45*w**2 - 5. Let o(d) = -11*d**4 + 23*d**2 - 3. Let g(q) = 3*h(q) - 5*o(q). What is the third derivative of g(u) wrt u?\nAnswer: -336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 55*s = 51*s - 3, -23 = -4*m - s for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-512)\/(-8) - (-2 + (5 - 2)). Suppose 60*y - w*y + 15 = 0. Is 10 a factor of (-31)\/(-3)*y - 3\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000010010 (base 2) to base 6\nAnswer: -2242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:48 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*f - 14 = 0, -6 = -2*t - 0*f + f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -75*y**2 - 231*y + 8. Let i(k) = 50*k**2 + 153*k - 5. Let o(g) = 8*i(g) + 5*v(g). Find the second derivative of o(r) wrt r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 11*q - 30. Let y be h(-2). Solve 0*u = -4*u - y*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) -2\/3 (d) -1.8 (e) 180\/13 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -54, -120, -212, -330, -474?\nAnswer: -644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.3 - 2.3. Let n = 8.2 - q. Let v = -29 + 29.4. What is the second smallest value in 4, -1\/4, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 + 30*i**2 - 86*i**2 + 33*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12966110\/3339 - -34942\/9. Let s = -390632\/3339 + r. Let k = s + 118. Sort k, 2, 0.2 in decreasing order.\nAnswer: 2, k, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 318*t**2 - 5*t - 1281. Let a(w) = -317*w**2 + 4*w + 1280. Let k(d) = 5*a(d) + 4*f(d). Differentiate k(p) with respect to p.\nAnswer: -626*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693769923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 4 - (-276)\/300 - (-2)\/25\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 3. Let t(i) = -i - 1. Let m(q) = j(q) + 4*t(q). Let r(z) = z. What is -m(y) - 3*r(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56.89 from -496631.\nAnswer: -496687.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2. Let p(z) = -z - 6. Let i(b) = b + 29. Let j(h) = h + 25. Let y(a) = -3*i(a) + 4*j(a). Let n(v) = -13*p(v) - 6*y(v). Determine c(n(r)).\nAnswer: -588*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2. Let h(j) = 271*j - 184. Give h(k(d)).\nAnswer: 1626*d**2 - 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002623 less than or equal to 1002623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y + 17*y - 3*y - 6*y - y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkazpny. Give prob of picking 1 k and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -67*a + 1. Suppose 7*r = 4*r - 6. Let b be l(r). Suppose 4*n = n + b. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 * 1300.\nAnswer: 89700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 264358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37904 divided by 18952\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100 - 5?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-4)\/12*11. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.361 + -0.061. Let u = h + -6. Let q = u - -3.7. Which is the smallest value? (a) -0.2 (b) -2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6214*q**3 - 6212*q**3 + 12421*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 27991 = -28657 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -7) + (3 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b4b - 5?\nAnswer: -1b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896830.7us to seconds.\nAnswer: 0.8968307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/381*-90*(-9)\/12. Is d at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363 a factor of 13040737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h + 4 = 42*h. Let w be (-9)\/(-18) - 2\/h. Solve 19*p - 17*p + 10 = w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 26*m**2 + 41*m - 37. What is c(-14)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3577744937 is divided by 770?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -614, -1215, -1802, -2369, -2910, -3419?\n\"Answer: d**3 + d**2 - 611*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-12)\/15)\/(2\/(-55)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157294 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*j - 21. Solve -i + 1 - 6 = 2*k, 3*i + j = 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586\/(-3809)*(43\/(-4) + 1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 309 + 45 = 0. What is the remainder when r is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 10*b**2 - 28*b**2 + 4*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1539 = 118*s - 7075. What is the greatest common factor of s and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-33145)\/21)\/((-90)\/324)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.8666 millennia to months.\nAnswer: 2686399.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/9 + 93190696*z\/9 + 1085563227620552\/9 = 0. Calculate z.\nAnswer: -23297674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 7*z. Let y be f(6). Find the common denominator of -93*(-3)\/(-243) + y\/(-27) and -65\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8803831 - 1.19\nAnswer: -8803832.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-189)\/(-42) + 457. Calculate the greatest common factor of 69 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -113 and -130 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 6*j + 2. Let a be 6 + 3\/(-4 + 1). Suppose 0 = a*t - 3*o - 7 - 20, t - o - 5 = 0. What is h(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14560 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/1705 and 37\/6231.\nAnswer: 342705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-343)\/3430)\/(6\/4)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 27*c**2 - 174*c + 1. What is o(6)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7396726.5ns to hours.\nAnswer: 0.00000205464625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25 and 283439?\nAnswer: 283414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -5\/21*r**3 - 1\/70*r**5 + 2\/21*r**4 + 0 + 2\/7*r**2 + 3*r. Find f such that s(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/9 - 136*l\/9 + 280\/9.\nAnswer: -2*(l - 2)*(l + 70)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/5104 and -117\/308.\nAnswer: 35728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**21\/i)\/(i**(-5\/2)\/i))\/((i\/(i*i\/((i*(i\/i**7*i)\/i)\/i)*i))\/i*i)**20)**(-36) assuming i is positive.\nAnswer: i**(-6606)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1860513*t**3 - t**2 + 1947*t - 1 wrt t?\nAnswer: -11163078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 + 1226*y + 674*y + 949*y - 333*y to r*y**2 + c + v*y + h*y**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 839.66 * -0.2.\nAnswer: -167.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2649 + -2682 + (-49)\/(-2).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1094\/(-57435))\/((-3)\/(-15))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/(b**(4\/9)*b)))**(20\/7))**20)**(-8\/7))**(4\/25) assuming b is positive.\nAnswer: b**(-6656\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -8, -3, 4, 13, 24?\n\"Answer: m**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13016, 26034, 39052?\nAnswer: 52070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3850*c*u - 9*u + 3 wrt c?\nAnswer: 3850*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 588616 and 444912?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4565 = 1285*n - 372*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51014 - -220?\nAnswer: -50354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2421\nAnswer: -1\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(343))*-5.\nAnswer: -35*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 3, v: 1, p: 3, u: 2}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 731960.4 seconds?\nAnswer: 731960400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2992 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 13973?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9735340 greater than -9735340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7. Suppose p*f + 54 = f. Suppose -m = -2*a - 52, 2*m + a = 3*m - f. Is 28 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - 0 - ((-1536)\/(-336) - (-8)\/(-14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-57)\/36 + (-16)\/(-64) + 0\/(-3). Which is the closest to z? (a) 5 (b) 2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 4*t + 2. Suppose n - 23 = 2*n. Let g = n + 20. Let v be 5 + (g - (-3 + 1)). Let x(f) = -f**2 - 3*f + 2. Determine v*x(y) - 3*c(y).\nAnswer: 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 763, 1163, 1583, 2029, 2507, 3023?\nAnswer: 3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2, -2.1, 2661\/20 in descending order.\nAnswer: 2661\/20, 0.1, -2, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3541866 (base 9) to base 4.\nAnswer: 13110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1254\/(-45) - (-8)\/(-60). Let c be 2 + -1 + (-2)\/2*y. Suppose -c + 19 = -5*k. Solve 2*t = -k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d + 6. Suppose -16*r + 14*r + 24 = 3*l, -l = 4*r - 28. What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 493 = 128 - 319. Calculate the highest common factor of z and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -12. Suppose 2*y = -2*v + 16, 0 = a*y - 2*y + 2*v - 22. Suppose -6 = -y*d + 12. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 84.454. Let m = -0.024 - y. Let w = m - 0.43. Sort -1, w, 5 in increasing order.\nAnswer: -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6934 = -3*p, 0 = -3*p + 165 - 171. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0.2 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-5) - 24\/(-10). Suppose -c - 5*c - 84 = 0. What are the prime factors of 25\/i - c\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256523 a multiple of 189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703426, -1406848, -2110270?\nAnswer: -2813692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 5. Let h be x(4). Let u = 6640\/29799 + -2\/3311. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 12*h + 33. Let r be m(-14). Let t(v) = -6 + 0 - r + 5 + 2*v. Let z(s) = s - 1. Calculate 2*t(y) - 12*z(y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:56 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 45\/9 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1 + 3*o + 0. Let c be y(-1). Let a(x) = x**2 + 4*x + 4. What is the units digit of a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 8 + 4)*(2 - v - 2) to y + f*v and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/4 + 103*t**4\/4 - 253*t**3\/4 - 4471*t**2\/4 + 1176*t + 2205 = 0.\nAnswer: -105, -6, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 3*g + 4. Let p be (-1 - 2)*g\/(-3). Suppose 4*f + p*n = -3 - 17, -4*n = -f + 20. Solve 0 = -f*t + 2*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 8, q: 2, n: 5}. Give prob of sequence qqh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + d - 3*d - 6 - 1 to m*d + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -1 (c) 2 (d) 84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-13)\/7) + (-407)\/(-7). Let t be o\/203 + (-2)\/7. Solve 5*m - 3*q + 12 = t, m + q + 10 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 15*o + 137. Let s be d(-21). Let n(m) = 6*m - 11. Let j(q) = 3*q - 6. What is s*j(w) - 6*n(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -5, -0.06, -0.5, -2, -0.137, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -15.6751?\nAnswer: -4.70253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 0.109 (b) 0.02 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r - 44. Let p be y(6). Suppose -4 - 272 = -a + p*k, 0 = -5*k - 5. What is the greatest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -33*x + 69. Solve x*j = 16 - 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -2*l**6\/3 + 4*l**5\/5 + 10*l**3 - 109. Find the third derivative of j(h) wrt h.\nAnswer: -240*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:15 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 + 5)*(2*w + 0 + 0)*(-2*w + 0 + 0).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137063100 or -137063099?\nAnswer: -137063100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 15*o - 16*o + 12. Are o and -1\/1622 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 7:30 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 324, 671, 1032, 1413, 1820?\nAnswer: 2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 8*t**2 + 3. Let j(q) = q**2 - q. Let v(z) = d(z) - 6*j(z). Let w be v(5). Does 14 divide 232\/(-29)*w\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let a(c) = 538*c**2. Calculate g(a(o)).\nAnswer: 538*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 179. Let m(f) = -95*f - 19. Let g(h) = -16*h - 3. What is l*m(r) - 19*g(r)?\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35075 + 70658. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4185, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/5)\/w)\/(w*w**(1\/2))*(w\/w**1)**(16\/9))**(-16) assuming w is positive.\nAnswer: w**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:27 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -4\/9, -2\/21, -1, 0.7, 0.0171?\nAnswer: 0.0171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95371 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*-1 + -4 + 1*(sqrt(99) + -3).\nAnswer: -7 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/21 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4879 - 9737 - 8*a**2 + 4890 - 14*a + a**3. Determine u(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 + -188.00000099. Round h to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 26*x**2 - x + 37. What is o(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 9*z**2 - 5*z - 15. Let j(y) = y**3 + 9*y**2 - 6*y - 16. Let g(s) = -3*j(s) + 4*l(s). What is the units digit of g(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3664 = -5*b, b - 437 = -5*t + 312. Suppose 2*n + 0*n + 1891 = h, 4*n + 5667 = 3*h. Let d = h - b. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 + 0*o**2 - 2*o**2 + (o - o - o)*(-4 + 2*o + 4) - 6 - o**2 + 2*o + 6.\nAnswer: o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 + 24*a + 15. Let q be k(-10). Suppose 8*g + 7*g = q. Let n = -1 + 4. Solve -g*p + 23 = n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 61, 187, 437, 853, 1477?\nAnswer: 2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3. Let l be (-3 - (-3 + 1)) + -4. Let n(w) = 7*w**3 + w - 33*w**3 + 3*w**3 + 14*w**3. Calculate l*j(g) - 2*n(g).\nAnswer: -2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*(7 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from {e: 3, p: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 3*r + 72. Suppose 9 = 9*v - r*v. Suppose -6*h + v*h = 9. Solve -8 = h*x + 1, -3 = g + x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) - (-161)\/(-3). Let q = -79 + 45. Let u = q - h. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 10\/41606161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.21, -4, -2, 2\/5, -1 in ascending order.\nAnswer: -4, -2, -1.21, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1351*w + 1350*w - 4*l - 36, l + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k = 350 + 42 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/1260 - (248\/60 + -4).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10621 and 29146.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*v + 68*v - 66*v + 61*v + 996 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -2\/13, -0.358, -14\/37, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p + 10416 + 2192 = 0. Let i(y) = y**3 - 2*y - 1. Let q be i(2). Let r = 28 - q. Calculate the remainder when p is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 3*z - 5*z. Let d(a) be the third derivative of -1\/360*a**6 + 0*a - 1\/36*a**4 + 1\/60*a**5 + z + 0*a**3 + 4*a**2. Let d(o) = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from oqqqoobkkooqqogokbob?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 2) + 5 + -5 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -129 divided by 129?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) 2 (c) -2\/5 (d) 0.3 (e) -23676\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (796\/(-8) - -1)*-2. Let p = h - 67. Find the third derivative of -p*a**2 + a**5 + 131*a**2 - 7*a**5 wrt a.\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -27*d**5\/4 - 30*d**4 - 160*d**3\/3 + 140*d**2. Factor y(g).\nAnswer: -5*(9*g + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5666856 by -145304.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(21\/28 + -2). What is the second derivative of 179*o**q - o**5 - 118*o**4 - 117*o - o**5 wrt o?\nAnswer: -40*o**3 + 732*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 308498, 616996, 925494, 1233992?\n\"Answer: 308498*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 9*q + 14 = 0. What is the second biggest value in q, 0.25, -5?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 7*s**2 + 6*s + 2. Let l be n(-6). Solve -l*c = -5 + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828974?\nAnswer: 2, 414487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005985831 rounded to 7 dps?\nAnswer: -0.0005986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1711647 divided by -16947.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*n**5 + 24*n**4 + n**3 + 8*n**2 + 7*n - 7 wrt n?\nAnswer: -960*n**2 + 576*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by -350?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -97*h**6\/15 - 57*h**5\/2 + 3*h**4 + 388*h**3\/3 - 24*h**2 + 7115*h. Let u(z) = 0. Calculate z.\nAnswer: -2, 6\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -6 + -19 + 24.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 - (-35)\/20. Suppose -w*b = -0*b - 6. Suppose -x = -b, -3*g - 25 = -5*g + 3*x. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - i = 3, -q + 1 = i + 4. Let m(o) be the first derivative of 0*o**2 - 3 + q*o**3 + o + 3\/4*o**4. What is the derivative of m(h) wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/10 - 4*p**3\/15 + p**2\/5 + 1. Find x, given that f(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = 4*r, -10 = -6*r + r + 5*p. Let n(f) = -2*f + f**2 - f + r - f - 3*f. Calculate n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/10)\/3 - (-24)\/15. Let c(w) = 51*w**f + 0*w**3 - w**3 - 25*w**2 - 27*w**2 + 1. Let u(d) = -d**2 + 1. Calculate -c(j) + 2*u(j).\nAnswer: j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 4*g + 5*z, -327 = -5*g - 4*z - 105. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(56) - sqrt(504)*-2))\/(1*(1*sqrt(24))\/sqrt(3)).\nAnswer: -42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 824*t - 824*t. Let s(i) = -1. Let c(n) = 28*n + 2. Suppose r - 39 = -38. Let v(g) = r*c(g) + 2*s(g). Give v(h(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -365200.8374945 and 0.98?\nAnswer: 365201.8174945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-70))\/((-51)\/(-476))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1638*t + 4921. Determine m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 60.51474km?\nAnswer: 60514740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1557 and 28881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3498892.89 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*c = 24, 2*m - c - c = 6. Suppose -3*o = m*d - 508 - 1714, 3*o = 3*d + 2262. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*l, -j - 15 = -5*l + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 - 6*y**2 - 18*y - 40. Let j be t(-10). Solve 4*g - j*g - 10 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 33*l**2 + 2385*l + 635. Determine z(-72).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 3*v + 2*v + (-352 + 1326 - 29)*(2*v + 0*v - v + (-4 + 3 - 1)*(0 - v + 0)) in the form c*v + t and give c.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5290984748 and 2.\nAnswer: 5290984750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*i - 22*i - 19*i - 1)*((-1 - 1 + 5)*(-4*i + 2*i + 0*i) + i + 0*i + 0*i - 3 - i + 3) in the form w*i + o + h*i**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-292)\/(-110))\/(2\/31970) + (-631)\/(-6941)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2002?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 4. Suppose y - v = -10, -y + 2*v - 16 = -2. Let h be g(y). Let k be h*3*1\/6. Calculate the greatest common factor of 6 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/4)\/(n**1*n))\/(((n\/(n**0*n*n))\/n)\/n**5))\/(n*n**0*n**(1\/8)*(n**(-2\/5)\/n)**(-35)) assuming n is positive.\nAnswer: n**(-367\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7399 - 3782. Let j = i + -2020. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-9 - (-15 - (5 + -8 - 5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*k + 2487, 0 = 5*m - 2*k + 6385 + 5985. What is the tens digit of (-12)\/9*m\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*o - 66 = 0, 3*o = -2*u - 2*u + 50. Let d be (-1876)\/18 + u\/63. Let h = 127 + d. What is the remainder when 113 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*v + 4510, -6*p = -2*p + 20. What is the hundreds digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -686 - -982. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzf when three letters picked without replacement from {f: 2, g: 1, r: 1, n: 2, z: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/56, -65.34, -3 in decreasing order.\nAnswer: -3\/56, -3, -65.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) 2 (c) -3312 (d) -3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*v - 16 = -w + 616*v, 4*v = 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u + 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71265699*l**5 + 196404912*l wrt l?\nAnswer: -1425313980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 12}. What is prob of picking 2 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 16, 0.3, 5.\nAnswer: 0.1, 0.3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 338595 = 29*j. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeqd when four letters picked without replacement from {z: 2, j: 2, d: 1, e: 1, q: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 102 in 3, 5, 15942?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (1 + -46). Let z be 2\/(-7) - (-32864)\/(-224). Let i = z - -152. What is the highest common divisor of k and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -167, -2792, 5 in ascending order.\nAnswer: -2792, -167, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * 0.008.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (23 - (9 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/88)\/(15\/(-18))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -18\/11, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 265 = 5*x, -14*c = -3*x - 17*c + 183. Calculate the remainder when x is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*q*y**2 + q*y - 21*q + 3*y**2 + 434*y + 2265 wrt y.\nAnswer: -118*q*y + q + 6*y + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35d9 (base 14) to base 2.\nAnswer: 10010010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423 + -412. What is the tens digit of (-88704)\/(-80) - (m\/(-5) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((1\/1)\/(30\/(-90))*(-345)\/45).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l. Suppose -5*f - 16 + 126 = l. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 7. Let k(h) = -6 + 0 - 1 + 9. Calculate 2*i(x) + 6*k(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173070852*g*v - 311670647*g wrt v?\nAnswer: 173070852*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2\/3*c**3 + 3 + 0*c + 0*c**2 + 3\/10*c**5 - 1\/24*c**6 - 3\/4*c**4. Factor s(t).\nAnswer: -t**2*(t - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -22. Let g(k) = -k**2 + o*k - 2*k - k. Let f(v) be the second derivative of 23*v**4\/12 + 2*v - 10. What is f(g(n))?\nAnswer: 23*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 1)*(x**4 - 4*x**4 + 4*x**4) - 261 + 1334*x**2 + 10*x**4 - 1334*x**2 + 112 as a*x**4 + l*x**2 + r*x + b + v*x**3 and give b.\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3\/5 - 14304*t**2\/5 + 28596*t\/5 - 14296\/5 = 0. Calculate t.\nAnswer: 1, 3574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 4*a = -44, -a + 59 = 4*v. Let i be (-5)\/(-10)*1*594. What is the least common multiple of i\/36 - (-1)\/(-4) and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*z**3 - 155*z**2 + 74*z**2 + 81*z**2.\nAnswer: -317*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/20 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 5. Let z(c) = 2*c + 5. Let b(t) = -3*u(t) - 4*z(t). Let r be b(8). Solve -5*h + 3*x + 3 = -r, h - 6 = 3*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - f**2 + f + 1. Let i be x(-1). Let v be i\/(-10) + 1\/5. Suppose 0 = -v*n + n - 8. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**3 - 44381136*z**2 - 88762284*z - 44381144 = 0.\nAnswer: -1, 11095286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than -293?\nAnswer: -293.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 126 = -254 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -246e66?\nAnswer: 246e68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 1699 - 457. Suppose 9*p - i = -29. What is the least common multiple of 5 and p?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*n - 9 = 64*n. Let w be n\/1 - (-5)\/(30\/(-26)). Which is the smallest value? (a) 2\/5 (b) 2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(228)*1 - (2*2*sqrt(228) - sqrt(228)))*-2)\/(1*sqrt(12)*-2 - sqrt(72)\/sqrt(6)*-1).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 0 + -1 + 0. Let i be (-630)\/150 - (-2)\/10. Sort i, x, -3.\nAnswer: i, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -8 - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/680*6*-2*(-375)\/(-50)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2242882453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11096108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-36)\/(-126))\/((-4)\/(-21308))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2237, 36, 0 in decreasing order.\nAnswer: 2237, 36, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/28 - 1093\/(-126) and 2\/(-2) + 5\/((-450)\/462).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5802300 to the power of 1\/2, to the nearest integer?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/25508 and -45\/62356.\nAnswer: 56806316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b = -37894 - 13762. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 9. Suppose h = 4*h. Suppose -n - 2*n - 15 = h. Calculate t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4325*z**2 - 2. Let q(o) = -8650*o**2 - 4. Determine -11*m(g) + 6*q(g).\nAnswer: -4325*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i - 2*i)*(0*i - 2*i + 3*i)*(18*i**2 + 35 - 35) - 13*i**4 + 4*i**4 - 6*i**4.\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c. Let v(b) be the second derivative of b + 0 + 0*b**2 + 2\/3*b**3. What is l(v(x))?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkkkxxkkkkxkkxkkkkkk.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from bygbyubbuygy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 48*w + 7. Calculate t(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*y - 6, 2 - 8 = 2*y. Find the common denominator of 485\/a*(-6)\/15 and 8\/10*(-27)\/36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3195*f**3 + 3345*f wrt f.\nAnswer: -19170*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052138432 to 5 decimal places.\nAnswer: 0.05214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*z**2 + 2*z + 2*z - 52*z**2 - 23*z + 19*z.\nAnswer: 176*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02627 + -0.24627. What is the closest to 12 in -0.4, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4\/5 (c) 19.67 (d) -1 (e) 1\/9 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -120198*f*l**3 + f - 26*l**3 + 29*l**2 + 2 wrt f.\nAnswer: -120198*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 30696?\nAnswer: 30696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 3}. What is prob of sequence ir?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - b = -0*y - 18, -3*y = 4*b - 4. Let t = 52 - 37. Solve 7*c = y*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -28?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000100011 - 10010?\nAnswer: -101000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 715783 and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64498383 to the power of 1\/2, to the nearest integer?\nAnswer: 8031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*w**6 - 10*w**3 + 4001*w**2 wrt w.\nAnswer: 2160*w**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/1975*(-1930)\/16 + (54\/8)\/9.\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.5045 - 23.063. Let x = -21.07 - v. Round x to 2 dps.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05256268 rounded to 5 decimal places?\nAnswer: 0.05256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 8*o + o - 14*o**2.\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*t + 5*l, 5*l + 2 + 1 = 2*t. Suppose 0*c + c - 14 = -2*m, 20 = 2*m + t*c. Solve 2*k - 14 = 3*a, 6*a - m = -4*k + a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/(m*m**(-1\/14)\/m)*m)\/m)\/m*m)**42 assuming m is positive.\nAnswer: m**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**2\/3 + 20290*m\/3 + 40640 = 0.\nAnswer: -6, 4064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 82*y**3 - 29*y**2 + 26*y + 25. Suppose 0 = -15*j + 20 - 395. Let x be p(j). What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -552.98, -1886, -2 in increasing order.\nAnswer: -1886, -552.98, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 100798053*v**4 + 88203358 wrt v.\nAnswer: 403192212*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 602 or 4220\/7?\nAnswer: 4220\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*r + 619, 43*r = 45*r + 4*d - 422. What is the remainder when r is divided by 65?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -70*o + 32*o - 60*o - 8*o - 4. What is the units digit of y(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 1\/3*f**3 + 12 - 28*f - 5\/2*f**2. What is the tens digit of j(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -7308\/31 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let o be q*((-8)\/6)\/4. Suppose o = -n + 15 + 40. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267852 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*s = -5*g + 78*s + 275, -s = -2*g + 119. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1223 - 0?\nAnswer: -1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58642 is divided by 1590.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 + 14*z - 3. Let f(g) = g**2 - 7*g + 7. Let m be f(4). Calculate the remainder when 67 is divided by p(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33630, 33644, 33662, 33678, 33686, 33680, 33654?\n\"Answer: -k**3 + 8*k**2 - 3*k + 33626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*s + 80 = 7*r, -4*s = -12. Let t = -35 - -6. Let i = t + r. Calculate the smallest common multiple of i and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.1, -317?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66588920*h**3 + 2*h**2 + 42953937 wrt h?\nAnswer: -199766760*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -966285*r**2 + 985*r + 6895. Let x(t) = -1964*t**2 + 2*t + 14. What is -2*j(y) + 985*x(y)?\nAnswer: -1970*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 8*o**2 - 3*o**2)*(-3 - 2*o**2 + 1 + 2*o + 3*o**2).\nAnswer: -9*o**4 - 18*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 1035\nAnswer: -24\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - 4*a**2)*(25*a - 13*a - 9*a)*(2*a - 104 - 2 - 76)*(-a + 2*a - 2*a).\nAnswer: 12*a**5 - 1092*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 9\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 46. Let h be o\/((4\/46)\/((-10)\/5)). Suppose 2273 - h = 6*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127.178 + -127. Let x = -0.022 - z. What is the nearest to 0.2 in 4, 5\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/55 and -64\/21?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922862?\nAnswer: 2, 17, 27143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -143?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 8*m - 7. Let x be o(7). What is the units digit of 21\/(x - (-6)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 + 71255*f**4 - 3*f**3 - 7388584*f**2 wrt f.\nAnswer: 120*f**2 + 1710120*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -125\/94067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 8) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2640 is divided by 62?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*r - 52, -3*h + 2*r + 1 = -34. Let n(k) = 6*k + h*k**2 + 9*k**2 + 0 - 19*k**2 + k**3 - 4. List the prime factors of n(4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 - 9*s + 2. Let m be n(6). Suppose -4*o - 3*d + 40 = 0, 2*o + 3*d - m = -0*d. Suppose o = 5*r - 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4, 14956\/13, -5\/4, 3, 4\/7, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 33.9 - -1956\nAnswer: 1989.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2171 + 0.0829. Sort -0.3, x, -88, -4 in increasing order.\nAnswer: -88, -4, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, -0.7, -3, 39\/8, -2\/7, -2.939, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - y - 360 + 380, 2*x - 20 = -y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -8. Suppose -505 = -u*v + 3*v. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -18427514499?\nAnswer: -18427514498.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22941?\nAnswer: 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -6. Let z = f - 9. Let s = -1.31 - 3.69. What is the biggest value in 15, z, s?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddudddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/1188 and 163\/528.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 7, c: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -969344?\nAnswer: -484672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 58?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {x: 2, z: 2, p: 7, h: 5, j: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/13 + 25820*t**2\/13 - 1516754*t\/13 + 4317936\/13 = 0 for t.\nAnswer: 3, 56, 12851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 3)\/(-4 - -5). Let l be -2 + (4 - 2) - 0. Suppose l = 3*q - 0*q + w - 7, 3*w + 15 = 0. Solve 0 = x - z + q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*k - 3)*(25769 - 25769 + 8886*k) to the form m + w*k + v*k**2 and give v.\nAnswer: 35544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 7*o - 14*o = -10*o + 7 - 27, 5*n + 8*o = 8 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13121202 (base 4) to base 6.\nAnswer: 352150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 - 1. Let h be m(-5). Is -1*1*(h - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1568133?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*b + 291*b = -783*b + 21395 - 60690 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003062 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3194*j - 49324 = -952*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose -t + 1298 = a*j, -j - t = 3*t - 429. Suppose -2*s = -393 - j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23991 is divided by 352.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*w + 95*w + 75*w + w**2 to m + d*w + g*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 4\/7 (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18873984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80.08 - -20.991. Let o = m + 59. Sort -0.2, 0, o, -1\/6.\nAnswer: -0.2, -1\/6, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*l + 0*l + 14 = 0, 5*j = l + 17. Sort 17, 0, -5, j.\nAnswer: -5, 0, j, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 6 - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151 - -90. Let v = n + 88. Suppose -2*a - 45 = -5*m, a + v = 4*m - 9. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 95*x + 100*x = -55, -2*t - 3*x + 57 = 0. Let v = 2 - -10. Let z = 30 - v. What is the lowest common multiple of t and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 - g - 2. Suppose -5*u - 15 = -l, -u + 2*l - 27 = -3*l. Calculate d(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*t**2 - 46*t**2 - 49*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 1}. What is prob of picking 2 r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(12\/2)\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (51\/68)\/(18\/16). Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 3*a**2 + 3*a - 1. Let g be k(-4). Let q(b) = 4*b**2 + 3*b. Let r(o) = -4*o**2 - 4*o. Calculate g*r(l) + 4*q(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 4*l + 5*w + 147, -3*l = -3*w + 42 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160412 divided by 3290103?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25898550 is divided by 943.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/23810 and -59\/9524?\nAnswer: 47620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31737356*j**2*u**2 - 19661149*u**2 wrt j.\nAnswer: -63474712*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20155 - -20158. What is the third biggest value in j, 0.1, -2426?\nAnswer: -2426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/7, 0.2, 4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126*y**2 - 709*y**2 - 712*y**2 - 707*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14243097?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 330\/(-35) + (-84)\/147. Which is the nearest to 1? (a) -1.1 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 320 + -201. Let s be (42\/(-63))\/(r\/60 + -2). What is the highest common divisor of 200 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3154 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -28*p + 6. Let l be m(-2). Suppose -4*t + 58 = -l. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156031?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0269 - 19.0269. Let q = 3.6 + -4. Which is the fourth biggest value? (a) 4 (b) m (c) q (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/11 and -61\/900?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1938*d**6 + 2*d**2 + 602 wrt d?\nAnswer: -232560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*c, -329*h - 3*c - 3 = -323*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccy when three letters picked without replacement from {c: 11, y: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.11 - 4.74. Let s = 1.63 + u. What is the second smallest value in -1\/3, -2\/15, 0.2, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167*i**2*y**3 + i*y**2 + 2*i - 2*y**3 wrt i.\nAnswer: 334*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 189*a**4 - 4707*a**2\/2 - 1343. What is the second derivative of d(l) wrt l?\nAnswer: 4536*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 3513.38582.\nAnswer: 10540.15746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.9 - -7.6. Which is the closest to 33? (a) v (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (-4 - (2 - 8)) + 10. Sort -45, l, -1.\nAnswer: -45, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000044902722 to six dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-7\/5)*w))**(-1\/5) assuming w is positive.\nAnswer: w**(-12\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**3 + 15*x**3 + x + 2 - 10*x**3 - 25*x**3 + 1332*x**2 to d*x**2 + a*x**3 + q + n*x and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*u - 1844 = -56*u + 2621 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/2937 and 49\/2670.\nAnswer: 29370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -j - 28. Let l be 74\/j - (-4)\/14. Let w = l - -8. Solve 4*c - 20 = -5*s, -w*c + 13 + 2 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + -2 - sqrt(17) - (-4 + 0 + sqrt(17)).\nAnswer: -sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 31572*o + 132. Suppose 114 = 2*k + 4*k. Let j be z(k). Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(980) - sqrt(2880)*-2)*-2*-1)**2.\nAnswer: 23120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/7, 0.2, -0.42 in ascending order.\nAnswer: -25\/7, -0.42, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/5 (c) -2\/13 (d) -18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 6:22 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -0.0852 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((-4)\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143797 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -25\/4. Let k = 39067477\/31 - 1260241. Let a(q) = -q**3 + 6*q**2 - 3*q - 6. Let h be a(5). What is the closest to -1\/3 in t, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 59\/65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 - 150*h**4 + 1476*h**3 + 38598*h**2 + 153615*h = 0.\nAnswer: -55, -7, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -12*b - 175. Let w be t(-16). Let z(h) = h**3 - 17*h**2 + 4*h + 38. Calculate the remainder when z(w) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 2*v**2 + 5*v - 5. Let i(n) = -n**2 + 2*n - 2. Suppose f + 119 = 4*y + 6*f, 0 = 2*f - 6. Let b = 24 - y. Give b*a(m) + 5*i(m).\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**2\/2 + 19*h - 7. List the prime factors of u(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 12:09 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - 10 = 36*m. Sort 2, m, -4.\nAnswer: -4, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (6*-2*sqrt(1331))**2 + 1 + 3)*3.\nAnswer: 574974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 6765892072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smlllmsm. Give prob of sequence mls.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pamppaappmmawpam. Give prob of picking 1 m and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i - 6. What is the third derivative of 3*m**i + m**6 - 6*m**2 + 2*m**6 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28 = 5*l, -1 + 9 = -2*p + 3*l. Let h be (18\/36)\/(p\/(-3434 - 2)). What is h rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**7\/315 - 2*n**6\/45 - n**5\/5 + 3*n**3 - 11*n**2\/2 - 9. Let d(r) be the second derivative of h(r). Factor d(o).\nAnswer: -2*(o - 1)*(o + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1010067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*m + 3*m**2 + 2*m**4 + 131*m + 78*m**6 - 2*m**4 - m**4 - 6*m**2 wrt m.\nAnswer: 9360*m**3 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422.\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - 5 - -4 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 4 - 10*v + 0. Let d be n(-4). Suppose 12 = 2*j + j. What is the greatest common factor of j and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000456 to 7 decimal places.\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1\/2 (c) 1.3 (d) 1\/4 (e) -1253 (f) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53677967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -101321 < -101323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147219799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 632*h*k**3 - 10*h*k**2 - 2*k**2 wrt k.\nAnswer: 3792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9020)\/6*(221 + -227).\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000101110101110010010 (base 2) to base 10.\nAnswer: 4385682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Let i = 16 - 10. Suppose 2*p - 2*l + l - i = s, 5*l = 20. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 - 1578592*a + 311494087808 = 0.\nAnswer: 394648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(14\/(-105))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027997629 rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:55 AM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*j + 5 = 0, -33 - 32 = -3*w + j. Suppose 3*m + 0*m + 3*z + 12 = 0, -5*z - w = -5*m. Solve -4*a + m*i - 2*i - 14 = 0, -3*i - 1 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.218 and 54?\nAnswer: 55.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + -4.3. Let p = t - -4. Let b be 11\/(-4) + 5\/(-20). What is the second smallest value in p, b, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -18. Let o = 377\/6 - m. Which is the closest to 0? (a) -5 (b) -1\/10 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u**3 - 2415*u**3 - 2797*u**3 + 1390*u**3.\nAnswer: -3778*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + 5*t**3 - 4*t**3 + 3*t**3 - 13*t**3 - 58*t**2.\nAnswer: -5*t**3 - 58*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + -31 + 2 + 5 + 18 + (-1 - -8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128 less than -0.00857031477?\nAnswer: -0.13657031477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-34) - (-160)\/1530)\/((-12)\/(-9)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/6 - q**2\/2 + q. Let l(n) = n**3 + 8*n**2 - n - 6. Let j be l(-8). Let d(s) = -3*s. Calculate j*m(z) - d(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -15 (c) 0.297 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*y + 8*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1272, 2, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317934 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11101269?\nAnswer: 3, 3700423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -117, -232?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:37 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3133*z - 3. Let k be d(2). Let r = 125453\/20 + k. Calculate the common denominator of r and ((-6)\/(-8))\/((-3)\/(-142)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t + 7. Let b(x) = x**2 + 2*x - 6. Let n(z) = 3*b(z) + 2*q(z). Let f(i) = i**2 + 3*i - 5. Calculate 4*f(h) - 5*n(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 + 4*b**3 - b**3)*(-b**2 - b**2 + 0*b**2) + 0*b**5 + b**5 + 3*b**5 + (0*b + 0*b + 3*b**2)*(0*b + 0*b + b**3).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/30 - 7*f**4\/24 - 3*f**3\/2 + 2*f**2 + 21. List the prime factors of u(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Suppose -2*s = -p*s + 5. Solve 5*i + 4*t - 3*t = -24, 0 = -s*t + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4782, -0.5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24 + 4*c - 332*c**2 + 23*c**4 - 9*c**3 + 350*c**2 - 22*c**4.\nAnswer: (c - 6)*(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 1 + 1)*(2 - 2 + 3)*(-5 + 7 + 0).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3\/3 - 3*i**2 - 14*i - 14. Let u(a) = -a**2 + 13*a - 2. Let n be u(12). What is the units digit of k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/32*(-8)\/(-6). Which is the third smallest value? (a) -2\/11 (b) 0 (c) 1\/6 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 85*c - 46. What is the lowest common multiple of 15 and m(40)?\nAnswer: 16770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from bbkkbbkbbbkybykbbkb.\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w**3 + 158*w**2 - 1892*w - 1505. Give b(-49).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490739.9 millennia to years.\nAnswer: 490739900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*g**3 - 128*g**3 + 72*g**3 - g**2.\nAnswer: 4*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*g + 125 = 4*w, -3*w = 2*g - 55. Let v = w - -23. Calculate the common denominator of 69\/10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 67.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 5*h + 8. Let v be m(-6). Let b be 581*1*(-12)\/(-126)*3. Let z = b + -151. Solve 0 = 3*g + v*g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-16)\/6))\/(60\/(-5))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 10488.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3960 and 1760.\nAnswer: 15840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133115036?\nAnswer: 2, 3, 277, 340889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h + 10. Let l(j) = -j**2 + 14. Let x be -2 - (-1)\/((-2)\/6). Let n be l(x). Let a(d) = d + 3. Calculate n*a(w) + 4*k(w).\nAnswer: w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (-6)\/(-7) + -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66742 by 302.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 5*w. Suppose -f + 2*z = -w*z - 58, f = 3*z + 53. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*(-340)\/8330 - ((-5)\/11 - 1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w**2 + 7*w + 435. Let j(b) = -10*b**2 + 7*b + 426. Let t(p) = 4*a(p) - 3*j(p). Differentiate t(y) wrt y.\nAnswer: -20*y + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 65 = -0*k. Let x be 3*1 + k + -5. Suppose 5*j - x + 23 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 6*w**2 + 0*w**2)*(77*w - 38*w + 67*w) + (-1 + w - 3*w**2 - w)*(1 - 2*w - 1).\nAnswer: 218*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14\/193 + -13591\/1544. Find the common denominator of -56\/11 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - 37. Let x = -30 - r. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**4 - 2*f**2. Let a(s) = -s**5 + 2*s**4 - 86*s**3 + 108*s**2. Let d(u) = a(u) - 2*l(u). Find the third derivative of d(r) wrt r.\nAnswer: -60*r**2 - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*n = -25, -5*m + 41 + 9 = 5*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 321, -2, 0, -1, -18 in decreasing order.\nAnswer: 321, 5, 0, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 4 + (-1 + 1 + 1)*(288 - 266 - 147))*(5*h**4 + 4*h**4 - 6*h**4).\nAnswer: -399*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1 + (-220)\/(-10). Suppose 18*a + 6 = h*a. Solve -1 = -w + 2*l - a, 0 = 2*w + 2*l - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 204*g - 108*g + 540*g + 2 + 9. Is a(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2783*s - 66795. Let g be f(-24). Let k = 51\/2 - 26. What is the closest to k in 0.7, g, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 3 + -3)**2 + 6*(sqrt(700) - 5*sqrt(700)).\nAnswer: -240*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37843644 divided by -9460911?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321728897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6 + -4. Let p = -7 - 42. Let s = p - -49.1. What is the smallest value in o, s, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 8 - 2\/5*t**5 - 22\/5*t**2 + 48\/5*t - 18\/5*t**4 - 46\/5*t**3 = 0?\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 97. Is 699\/12 - 1\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1454404 (base 7) to base 8\nAnswer: 603466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 12 - 35 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -305, -319, -343, -383, -445, -535?\n\"Answer: -z**3 + z**2 - 10*z - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -294\/335, -1\/7, -2\/9 in descending order.\nAnswer: -1\/7, -2\/9, -294\/335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 - 4*u + 96. Let c(m) = -9*m**2 + 3*m - 72. Let z(h) = -4*c(h) - 3*q(h). Let n(j) = 145*j**2. What is z(n(p))?\nAnswer: 126150*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 h when three letters picked without replacement from uuulhbtu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-7 - -5) - -20\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 65 in decreasing order.\nAnswer: 65, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12 - 51 - 471*k + 569*k with respect to k.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 + 2*v + 1. Let l be u(-1). Suppose 3 = -l*w + 9. Solve -6*b + w*b = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 64.00000495. What is j rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 81. Let p = 47 - g. Let t = 32 - p. What is the greatest common factor of t and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 9681594 + 9681594.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 107750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.81637087 + -118.18359583. Let h = 142 + r. What is h rounded to six decimal places?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.113 and 13.\nAnswer: 13.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/9)*p\/(p**6*p)*p)\/((p\/p**(-2\/7)*p)\/(p\/((p\/(p*p*p\/(p**(4\/5)*p))*p)\/p)))*p\/p**6*p*p\/p**(2\/11)*(p*p**(-6\/5))\/p**(-2) assuming p is positive.\nAnswer: p**(-4636\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let q(r) = 469*r**2 - 30. Let j(d) = -469*d**2 + 36. Let b(w) = 5*j(w) + 6*q(w). Calculate b(l(a)).\nAnswer: 1876*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*h + w - 6*w, -4*h - w = 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 61*i - 144. Let p(z) be the third derivative of 0*z**i + 23*z**2 + 1\/30*z**5 + 0 + 0*z + 0*z**4. Let d(l) = -16*l**2. What is p(d(q))?\nAnswer: 512*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/77619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 5*w**2 + 13*w - 2. Let j be (2 + (-20)\/8)*18. Is u(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 24*b**2 + 56*b - 67. List the prime factors of q(9).\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 - 1. Let a be r(-1). Suppose c - a*c = 0. Suppose -3*h = 3*o + 13 - 112, 4*o - 4*h - 164 = c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4497 + 3134. Let w = y + 2010. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6363 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048.404 rounded to the nearest 10?\nAnswer: -1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 7*h = 10. Suppose 5*g + 2*p - 70 = 0, 2*p + 4 = 2*g - h*p. Suppose -2*k = -g - 28. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5\/3 + 12*k**4 + 40*k**3\/3 - 12*k**2 - 38*k\/3 = 0.\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 582042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -28. Calculate the greatest common factor of 56 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 4*t + 2*t)*(4*t + t - 6*t) + (-t + 2*t - 3*t)*(t + 3*t - 2*t) + 3*t**2 + 3*t**2 - 7*t**2 as u + b*t + r*t**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**5\/60 - 31*b**4\/24 + 67*b**3\/6 + 4534*b**2. Determine s(27).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1758 divide 30583723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362 by -8.\nAnswer: 181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0982 + 0.1323. Round o to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 23) + (-80 - -57) - (-1 - -7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 67 - 75. Suppose 9*s = 8*s + y. Solve 0 = -b + s + 3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20198 and -20.297.\nAnswer: 409958.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-45)\/(-40) + -1). Suppose -11*l - k = -h*l - 13, 2*k + 4 = 0. Factor 9\/5*b**3 + 0 + 3\/5*b**l - 9\/5*b**4 - 3\/5*b**2 + 0*b.\nAnswer: 3*b**2*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 h when four letters picked without replacement from illhzhlzlllzlcfl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2827 + -50927\/18. Find the common denominator of o and -93\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 44*u + 25 - 26 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11977 or 10325?\nAnswer: -11977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -1. Let j = 10 - a. What is the derivative of j*f**3 - 3 + 1 + 4 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1848\/2969?\nAnswer: -1848\/2969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4\/4 - w**3\/3 + 129. Let o(a) = a**4 - 6*a**3 - 11*a**2 + 4*a + 8. Let x(i) = 5*g(i) - o(i). Factor x(b).\nAnswer: -(b - 2)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 168?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + 0 + (-2 - -4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y. Let a(o) = -7*o. What is a(u(i))?\nAnswer: 77*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -3*r**7\/14 - r**6\/120 - 19*r**3\/3 + 3*r**2 - 3. Find the first derivative of v(i) wrt i.\nAnswer: -180*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/25636375 and 4\/83145?\nAnswer: 76909125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ggrgrrgrigrgkkggrr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 6 + 8*r**2 + r**3 - 4 - 4. Let t be j(-8). Factor -4\/3*v - 8\/3*v**3 + t*v**2 + 0.\nAnswer: -2*v*(v - 2)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, z: 3, g: 2, t: 11}. Give prob of sequence zzww.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -1. Let f = -7 + 7. Which is the closest to f? (a) 5 (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(39\/(-28))*((-10)\/2)\/(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 89 + 3*r**3 - 9*r**3 + 6*r - 91 in the form k + z*r**3 + w*r**2 + d*r and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -111 - -113. Is -0.82 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - k - 295 = 0, -k = 3*w + 101 + 76. Suppose 2*d = -5*i + 2358, 2*d = -5*i - d + 2357. Let m = w + i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/5 - 95366744*f**2\/5 - 227370415602386*f - 454740754911380.\nAnswer: -2*(f + 2)*(f + 23841685)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -5*l - 36, -3*k = -4*l - 54. Suppose 15*j - k*j - 123 = 0. List the prime factors of (-3 + j)\/(1 - 2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x - 2. Let w be j(-2). Let g be (-4)\/16 - (-207)\/w. Let q(f) = f**2 - 12*f - 8. Does 14 divide q(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 + -0.27. Which is smaller: -0.09 or f?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -21*i**2 - 5*i - 1. Let t(o) = -o**2 - o + 1. Let g(f) = k(f) - 5*t(f). Differentiate g(a) with respect to a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -32*l**2. Let i(w) = 3270*w**2. What is i(p(s))?\nAnswer: 3348480*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-1770)\/(-9440) - 26\/992)?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22343895?\nAnswer: 3, 5, 7, 89, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*u + 68. Let a = -17 - u. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/365 and -89\/6191714.\nAnswer: 30958570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80784 + -40279. Suppose -25568 - p = -7*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 4:05 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 2, p: 1, j: 3, i: 1}. What is prob of picking 1 e and 2 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17469 + 31665. What is the greatest common divisor of 169 and c?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 37 - 28 = -3*q - 51, 5*q + h + 98 = 0 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:32 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 + 65*2. Let g = z - 64. List the prime factors of g.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -255402, 1 in decreasing order.\nAnswer: 1, -2, -255402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n + 2*n + 0*n - 2 + 2 + n + (-5*n + 5*n - 2*n)*(0 - 1 + 3) + 3*n - 2*n + n - 331*n + 94*n - 909*n to the form a + c*n and give c.\nAnswer: -1149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 9*l**2 - 19*l + 2. Give s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217\/426 - -2\/213. Suppose 2*y = -4*t + 44 + 24, 3*y + 3*t = 96. Let j be (12\/(-12))\/(y\/(-4)). What is the second smallest value in j, -4\/5, z, 8\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**7\/210 + a**6\/60 + 41*a**5\/20 + 145*a**4\/6 + 350*a**3\/3 - 146*a**2 - 16*a - 2. Factor o(w).\nAnswer: -(w - 14)*(w + 2)*(w + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 10155\nAnswer: -1\/10155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -16*t**5 + 4*t**4 - 10*t + 2*t + t + 20*t**2 + 48*t**3 - t = 0?\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k*k**(-2\/33)*(k**(-3)*k)\/k assuming k is positive.\nAnswer: k**(-35\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13017720*f**2 + 13133334.\nAnswer: -26035440*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4544702680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.17979 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13864, -27600, -41342, -55090, -68844?\n\"Answer: -3*g**2 - 13727*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 5*t**2 - 5*t + 6. Let y(v) = 291*v - v**3 + 291*v + 296*v - 6*v**2 - 873*v - 3 - 4. Give 6*r(j) + 5*y(j).\nAnswer: j**3 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + -20243344?\nAnswer: -20244034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q + 0)*(-q**2 + q**2 - 2*q**3) - 80*q**4 - 713*q**2 + 82*q**4 - 351*q**2 + 224*q**2.\nAnswer: 4*q**4 - 840*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -23 + -411 + 422.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -944\/1885?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + -2 + 2 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780438640?\nAnswer: 2, 5, 31, 314693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -510 and -28771.76256.\nAnswer: -29281.76256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**8\/336 + s**4\/6 - 5*s**3\/3 - 2. Let r(n) be the third derivative of h(n). What is the derivative of r(o) wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995619 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 64.3\nAnswer: 10.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34427\/39582 - 4\/6597. What is the common denominator of h and -3\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-24)*4\/6*-10. Suppose w*i = 4*s - 98, 2*s - 8*i = -3*i + 54. Is 131 - (84\/s - 10\/(-55)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 times -12.6?\nAnswer: -14704.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28667526 and 134198?\nAnswer: 28801724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2170 - -2169.92. What is the nearest to 0 in 2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1450 by 50.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -245, -344, -437, -524, -605?\n\"Answer: 3*d**2 - 108*d - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 3*z - 78. Let d be 32 - (-3 - -8)\/(-5). What is the greatest common factor of z and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 94*d*r*t**2 + d*r - 189*d*t**2 - 2459*r*t**2 + 4*t**2 with respect to d.\nAnswer: 94*r*t**2 + r - 189*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*l + 5*l**2 - 41*l + 2*l**2 - 4*l**2 + 3*l**2 + (-3 + 3 - l)*(4 - 4 - 2*l))*(-3 + 0 + 2).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4367179 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7306926?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24478537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2938.633074508 from 1.\nAnswer: -2937.633074508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 513 - 515. Let v be (u\/(-8))\/(7\/56). Solve -v*t + 17 + 1 = 4*o, -2*t + 2*o = -6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + 5*q - 4. What is d(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.9 - -27.3. Let g = i + 29. Let w = 4.5 - g. Put -0.2, 3, w in decreasing order.\nAnswer: 3, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 658 - 3*a**2 + 551 - 1209. Let d(c) = -11*c - 2. Let x(o) = 342*o + 63. Let r(w) = 63*d(w) + 2*x(w). Determine n(r(k)).\nAnswer: -243*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18814?\nAnswer: 2, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 2*z**2 - z + 2. Let t(d) = -4*d**3 + 4*d + 5*d**2 - 3*d + 5 - 2*d - 2*d. Let k(g) = -8*g - 51. Let q be k(-7). What is q*o(j) - 2*t(j)?\nAnswer: -2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.9092 + -0.0092. Let b = q - 74. Let w = 2.4 + b. Which is greater: 1\/4 or w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 + b - b)*(-1 + 515*b + 316*b - 220*b + 211*b).\nAnswer: -822*b**5 + b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1 + (-3)\/(-4)). Solve -5*a = k + 22, -4*k + 3*a - 2*a - v = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228, -962, -2198, -3936, -6176?\nAnswer: -8918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 29 + 4*a + 5\/2*a**2 + 1\/3*a**3. Calculate u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 98139*z - 98136*z - 16, 16 = -z + 4*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.93 - 0.09. Let c = 0.989 + v. Let m = c + 0.03168. What is m rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*z - 44 = 0, 2*h + 14 = 3*z - 10. Is (h - 2)\/(-4) - -23 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-17 + -26 + 36).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156496, -157393, -158290?\nAnswer: -159187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3070\/161 + -87\/23. Let u = -236 - -251. Let w = u - y. Put 0, 0.1, w in increasing order.\nAnswer: w, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.52 (b) -2\/9 (c) 1 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1501*c - 1528*c + 540 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19288 = -10*n - 19228 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*c**2 + 2*c**2 + 2*c**2 to t + s*c + x*c**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 5:15 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 2:49 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151, -628, -1423, -2536, -3967, -5716?\nAnswer: -7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14039 - 3.14039. Let i be (-2)\/3 - 44\/(-48). Which is the third biggest value? (a) -0.2 (b) i (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 37 = -167. Suppose -4*q + p = r, -q = -3*r + 33 + 97. Suppose -2*v = -262 + r. List the prime factors of v.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1722 divided by -123.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-4)\/18 + -4. Which is the fourth biggest value? (a) 0.04 (b) -2\/7 (c) o (d) 2\/9 (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72700 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*v = -931 + 2051 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3348 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-1 + sqrt(121) + sqrt(121))*5 - (sqrt(121) + (1*sqrt(121)*4 + sqrt(121) - sqrt(121) - sqrt(121)) + sqrt(121)))\/((3*sqrt(792))\/sqrt(2))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (0 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*z**2 + 2 + 88*z**2 - 3 + 4*z**4 - 3*z**3 + 0 wrt z?\nAnswer: 96*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*d - 5, 3*d - 5*k - 10 + 35 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.7 + -12. Let j be ((-126)\/(-70)*5\/12)\/(-7 - -4). Sort j, o, 5 in decreasing order.\nAnswer: 5, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1644 + 1639. Let p(a) = -a**3 - 4*a**2 + 4*a - 19. Determine p(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23592 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12164*a + 5*y + 150 = -12169*a, -2*y - 63 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1, 73, 1, 30, 14.\nAnswer: -4, -1, 0, 1, 14, 30, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2481, 4961, 7441, 9921, 12401?\n\"Answer: 2480*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.246754440325 - 1?\nAnswer: -0.753245559675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(11\/((-66)\/(-12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -122425.7 and -447.\nAnswer: -122872.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1071 and 81.\nAnswer: 9639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249271 and 110704.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4966165063 to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 39 = 156. Let b = c + -62. Let f = 36 + b. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2*l = 44, l - 4*l + 1344 = -135*z - 6*l for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 249603738 to the nearest one hundred thousand.\nAnswer: 249600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1654 - 867. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38\/3 + -34\/3. Which is the biggest value? (a) z (b) 0.06 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124412527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156720, -313351, -469982, -626613, -783244, -939875?\nAnswer: -1096506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130953 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/5)*a**(-6) assuming a is positive.\nAnswer: a**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z - 29*z + 19*z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 2*p**3 + 0*p**2 + 0*p - p**3 + 0*p + p**3 - 5*p**3 + 8*p**3 + (3*p**2 - p**2 - 3*p**2)*(-2*p + 2*p - 2*p) + 5*p**3 + 0*p**3 + 0*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Suppose 0 = 2*c + a*j - 3, 2*j + 3 = 2*c + 5. Suppose -10 = -2*g - c*g. Solve 2*d + 1 = -g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 25962\/25, 0 in ascending order.\nAnswer: 0, 8, 25962\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4810 - 4787 = 2*n, -5*n + 4*f = f - 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 17, k: 3}. Give prob of picking 1 k and 1 z.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - c + 4 + 8, -2*c - 2 = -5*l. Let b(u) = -602 - u**3 + 0*u**2 + 603 - u**l. Let t(d) = -d**3 - 3*d**2 + 7. Determine -2*b(h) + t(h).\nAnswer: h**3 - h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 6*o**2 - 8*o + 3. Let x be a(-4). Solve -x*r - 5 - 4 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3516515*5\nAnswer: 17582575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g. Let y(u) = -6*u. What is a(y(l))?\nAnswer: 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 - -0.13. Let u = m + -0.1. Let c = u + 0.00955. Round c to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/34*(-8187234)\/(-21891)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.38, 2, 1?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822280.98 to the nearest 10000.\nAnswer: -2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (76 + 21 - 9)*(z**2 + 42*z**2 - 7*z**2) in the form o*z + l*z**2 + b and give l.\nAnswer: 3168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*z + 2675 = 5*z, 0 = -r - 3*z + 541. Let x = -402 + r. Does 44 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1938*b**2 + 2367*b**2 - 15252*b**2 + 4*b - 4*b + 2 + b**2 - 2 + (b + 2*b - b)*(-4*b + 0*b + 3*b).\nAnswer: -10948*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + i**2)*(3*i - i + 0*i + (41*i - 73*i + 37*i)*(-18 + 14 + 32) + (2*i + 6 - 6)*(1 - 1 - 1)).\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 330124790689463?\nAnswer: 330124790689459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 5\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27370\/(-935))\/14*66\/(-30).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7443 - 10*a**2 - 7452 + a**3 + 6*a + 5*a. List the prime factors of l(12).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.4 + -12.3. What is the closest to 2\/5 in h, 1\/4, 4\/5, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7059 and 9183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a**2 + 9*a + 11. Let y(v) = -7*v**2 + 6*v + 7. Let c(x) = -5*s(x) + 8*y(x). Let g = -2 + 5. Give c(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9291.056 - 0.087.\nAnswer: -9291.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 4 + (0 - -3) + (62 - 62) + 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - a**3 + 2*a**3 + (-3*a**2 + 4*a**2 + 3*a**2)*(5 - 5 + a) to the form f*a + k*a**3 + s + t*a**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, 3163.8, -31?\nAnswer: 3163.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 244, 510, 914, 1474, 2208, 3134?\nAnswer: 4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-80)\/(-6) - 2\/(-3). Suppose m + y + 69 = 6*m, -4*m + y + 55 = 0. Is m less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 1005 = -5*m - 1070, -m - 4*c = 31 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20277*s**3 + 7132*s**2 + 1 wrt s.\nAnswer: -121662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124\/159 - 6\/53. Let f = -0.1 - 0.8. Let y = f + 0.5. Which is the closest to 2\/7? (a) 0.2 (b) z (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d - 13. Let y = 4 - 2. Let s(j) = 2*j + 3. Suppose -3*u = -u - h - 23, -3*h + 30 = 5*u. Calculate u*s(t) + y*f(t).\nAnswer: 2*t**3 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let b(i) = -i - 2. Suppose 3*u - 8 = -f, f - 6*u + 8 = -u. Let j(c) = f*b(c) + 3*r(c). Is 9 a factor of j(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 5 = 4*v. Let b(p) = p. Let r be b(v). Suppose r*n = -2*n. Solve z + 2*o + 1 = 0, -4*z - 2*o + 5 + 3 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365*(5740\/(-350))\/(-82)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 324\/128 - 3 - 20\/200*-5. Let o be (-4)\/6 - (1 + 0). Let i = 9 + -5. Put o, 1\/8, b, i in ascending order.\nAnswer: o, b, 1\/8, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 13*s = 12*s + 30, -4*s + 75 = 5*d. What is the least common multiple of (-4)\/(-18) - (-176)\/18 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - 3*x**2 - 4*x**2 - 5 + 9*x. Let u(g) = -g**2 + 4*g - 2. Let b(m) = 32*m + 21. Let j be b(-3). Let n = 71 + j. Give n*a(p) + 10*u(p).\nAnswer: 2*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2 + 2)*((3*h**4 + 2*h**4 - 3*h**4)*(-8 + 0 + 2) + h**4 + 2*h**4 - 5*h**4 + 8*h**4 + 7*h**3 - 7*h**3).\nAnswer: -18*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -14\/3, -19\/11.\nAnswer: -14\/3, -19\/11, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/30*-5 + (-20)\/(-6). Let p be n + 0 + -4 - -2. Solve p*u = -2 - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 308716*l. Let x(r) = -127*r**2. Determine u(x(i)).\nAnswer: -39206932*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3\/8, 1435, 0.37, -0.07?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -82595 (base 10) in base 2?\nAnswer: -10100001010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 7*m**4\/12 + 2*m**2. Let a(f) = 2*f. Give g(a(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 868\/651*(-24)\/20*(-125)\/(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.32 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 226754*d. Let y(s) = 8*s**2. Calculate y(t(k)).\nAnswer: 411339012128*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*h - 811 - 879 - 158 = 0. Sort -8, h, 0.2, -4, 3.\nAnswer: h, -8, -4, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9 - 937\/3. Let t be -83*(-1 + 3) + -3. Let s = t - o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17\/(6\/52*12\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22099\/34632 + -3\/3848. Calculate the common denominator of g and -43\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t + 0*t - 22*t. Determine s(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 + 17*s**3\/3 - 9*s**2 - 4*s - 286. Calculate x(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 + -94. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*v + 10 = 0, -4*v = -2*o + 4 - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 151316 and 241756.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2666347 + 13276698\/5. Let t = 11049 + q. Let x = -1471\/35 + t. Which is the nearest to 2\/3? (a) x (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/12)\/7)\/(6\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212201 - 10?\nAnswer: -12212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 - (70 + -21) - (16 - -32)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q**2 - 36*q - 1. Let i be w(-7). Solve m - 5*u + 10 = 0, -2 = -4*u + i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -480.83 + 480. Let o = k - -0.8299944. Round o to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(4\/5)\/w**(2\/9))\/((((w\/w**(1\/5))\/w)\/w)\/w**3))**(35\/3))**(21\/5) assuming w is positive.\nAnswer: w**(2107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -5, -8174 in decreasing order.\nAnswer: -5, -103, -8174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 + 343*i - 687*i - 20*i**2 + 346*i to the form w*i + g*i**2 + o and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxppe. Give prob of sequence pe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 - -6.4. Let f = q - 4.6. Which is the third biggest value? (a) 1\/9 (b) -0.5 (c) f (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1843 = -999. Let p = -263 + j. Is 30 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 * 1133688\nAnswer: -1462457.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(0 + sqrt(405)) + sqrt(405)))**2 + 0.\nAnswer: 91125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357.539 millilitres to litres.\nAnswer: 0.357539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 31*m**2 + 230*m + 42. What is v(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -37. Sort -3, r, -1 in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 165 + 29. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8\/(h*h\/(((h*h*h*h*h**9*h*h*h)\/h)\/h)))**(5\/2) assuming h is positive.\nAnswer: h**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018247404 rounded to six decimal places?\nAnswer: 0.001825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.595 and -1490540757.\nAnswer: -1490540757.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998729 is divided by 27741.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3181*t + 12728. Calculate p(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1068743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*m = -8, f = -0*m + 2*m + 2. Let z(n) = 3*n - 3*n - 2*n**f. Let o(l) be the third derivative of -l**5\/30 - 2*l**2. Calculate o(z(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21540*o**3*z**2 + o**3*z + 11592*o*z wrt z?\nAnswer: -43080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 9*v**3 + 3*v**3 - v + 4 + 2*v in the form l*v**3 + w + i*v + k*v**2 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*i - 0*i. Suppose i = 7*h - 3. Factor 6\/7*a**3 + 0 + 2\/7*a**4 + 6\/7*a**h + 2\/7*a.\nAnswer: 2*a*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -3d?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 8933 (c) -3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 3*g + 6. Let u be k(6). What is the common denominator of -23\/11 and ((-316)\/u - -3)\/(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*u**4 + 3*u**3 - 25*u**2 - 2689*u + 14?\nAnswer: -912*u**2 + 18*u - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 30*w**2 + 2*w + 77. Calculate m(-30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -251\/172403?\nAnswer: -251\/172403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 43. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p)*(3 - 5 + 0)*(22*p + 102*p + 39*p).\nAnswer: -326*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 - 6*m**3 + 5*m**3)*(7*m + 8*m - 4*m)*((-3*m - m + m)*(-4 + 4 - 1) + 3 - 3 + 2*m).\nAnswer: -330*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n - 5 - 41 = 0, 4*c + n - 69 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - a**3 + 0*a**3 + (3 + 6*a - 3)*(3*a - 3*a + 9*a**2) to the form z*a**3 + w + b*a**2 + l*a and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 4*q**2 - 5*q + 327. Calculate x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 79, 185, 341, 553, 827?\nAnswer: 1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4089 and 21150?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 1 - 1)*(143 + 163 + 545) - 1 + 2*j**3 + 1.\nAnswer: -849*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 11*c**5\/20 - c**3\/6 - 77*c**2\/2 - 7*c + 5. What is the first derivative of v(u) wrt u?\nAnswer: 33*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -306 or -308?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:31 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 11. Let k = 6 + -5. Let f(z) = -7*z**2 + z. Let n be f(k). Let r be q(n). Put -15, r, -2 in descending order.\nAnswer: r, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -43 + 17 + 15 + 2*n + 12. Let c(y) = 10*y + 4. Let z(v) = c(v) - 4*r(v). Let l(i) = -5*i**2 - 4. What is z(l(s))?\nAnswer: -10*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 + 4 - 4 - (30 - 24)) - -116?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23424321 - -13?\nAnswer: -23424303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:31 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024 times 0.01?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14553854 is divided by 13159.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/15*442\/1989?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b031b1 + -6c?\nAnswer: -b0323d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 40. Let q be z(-20). Suppose q = 15*p - 5*p. Suppose -h + 22 = -6*h - y, h = y - 2. Sort -5, -1, h, p in descending order.\nAnswer: p, -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51042883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - a**2 - 6*a - 31. Let l be k(-3). Solve -5*s = l*v + 15, -s - 3 = 5*v - 10*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 1}. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(540) + sqrt(540))\/(sqrt(147)*2 - sqrt(147)) + -1.\nAnswer: -18*sqrt(5)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194784323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 371*v - 3134. Give b(177).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1311 is divided by 44?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 546*z. Let m(t) = -342*t**2 + 215*t**2 + 116*t**2. What is p(m(w))?\nAnswer: -6006*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0*f**3 - 1\/6*f**4 + 0 + 0*f**2 + 0*f**5 + 3\/10*f**6 - 6*f. Find the third derivative of s(g) wrt g.\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42235*c*s**3*w - 446*c*s*w**2 - 2*s**3*w**2 - 2*s**3*w - 2*s**2*w**2 - 1245*s*w**2 - 2*s*w - 86*w wrt c?\nAnswer: -42235*s**3*w - 446*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*x + 76*x - 41399242*x**2 + 41399240*x**2.\nAnswer: -2*x**2 - 205*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, a: 15}. What is prob of sequence ddaa?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**3 + 3*b + 1. Suppose 8*i - 2 = 7*i. Let p = i + 4. Let s(f) = 7*f**3 - 4*f - 1. Determine p*h(g) + 5*s(g).\nAnswer: -g**3 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:57 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/10*50\/40. Let u = -526 + 1053\/2. What is the smallest value in 0.1, u, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133)\/(sqrt(28)\/sqrt(4)) + 4 + sqrt(19) + sqrt(38)\/sqrt(2) + -1))**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88.4 + 69.4. Let f = -5 - -9. Suppose 1 = -u + f. Which is the nearest to i? (a) -1\/2 (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-20)*4996\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5961*m + 4 - 8 - 17341*m - 9.\nAnswer: -23302*m - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132985.\nAnswer: 5, 26597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3 - (-1 + 3). Solve 4*q + l*k = -13, 0*q - q + 5*k + 14 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, g: 1, z: 2, t: 1, i: 3, o: 8}. Give prob of sequence ogzz.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 (base 16) in base 8?\nAnswer: -3065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 1735567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*(sqrt(63)\/(sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448)*-1 + sqrt(448)))\/(((6*sqrt(192) + sqrt(192))*-1 - sqrt(192)) + sqrt(192)).\nAnswer: sqrt(3)\/1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, i: 8}. Give prob of picking 1 i and 3 g.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -26.7. Which is the closest to -1? (a) h (b) -2\/13 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 56. Calculate the common denominator of -10\/21 and u\/14 - 446\/84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.24 or 3?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 32\/28)\/1. Which is the biggest value? (a) -0.3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-572)\/484*-22 + -32*2\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4*a - 16, 56 = b - 3*a + 40. Let d(g) = g + 1. Let n(v) = 8. Calculate b*n(l) - 6*d(l).\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2051, 2113, 2179, 2249, 2323?\n\"Answer: 2*h**2 + 56*h + 1993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*c = 27. Let z(n) = 2*n**3 - 19*n**2 + 2. Let g be z(10). Suppose o + c = y, y + 3*y - g = o. What is y rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/21)\/(1860\/13440*16).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -507111?\nAnswer: 507099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 13*y**4\/12 + 217*y**3\/2 - 13728*y**2. Determine b(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - y**2. Let n(c) = -7*c**3 + 2*c + 2. Let f(t) = 2*g(t) - n(t). Is f(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/20*(-3)\/((-15)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51128*y + 255 = 51111*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 128*z = -408. Solve -2*l + z + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.6267 and 59.\nAnswer: 45.3733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, u: 1, n: 2, l: 2}. Give prob of picking 2 n, 1 m, and 1 u.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160298 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 f = -8 - -7. What is the units digit of 17 - -1*(f - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 6*l**2 + 3*l + 8. Let q be z(-6). Let j be (-5)\/q*(1 + 1). Solve -4*d + 2 = -p + j, -4*d + 4*p = 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/20 and -33\/2346554.\nAnswer: 23465540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 12:58 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64 - -53. Is -10 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 516.13 from 2.\nAnswer: -514.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29456 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 1741.1398?\nAnswer: -174.11398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - -37 - (-5 - (-10 + -3) - -12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - j)*(-3 + 1 + 4)*(-9*j - 13*j - 20*j).\nAnswer: 84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*g - 10262 - 29043 - 23479 = 1560*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 158.\nAnswer: -2686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 > -244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**2 + 2. Let k be (-5 - (-1 + -4))\/(-2). Let p(m) = k*m**2 + 73 - 73 + m**2. What is p(s(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1508444 and 1204220.\nAnswer: 143302180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 8:43 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 63 + 10 = 4*x, -b + 4*x + 113 = 0. List the prime factors of ((-15)\/45)\/((-1)\/b).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g**4*g))\/g*g)\/g)\/(g**2\/g*g))**(-5\/9) assuming g is positive.\nAnswer: g**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22222211220 - 10022011?\nAnswer: 22212112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 380?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b = 3*b + 3*r - 34, b - 2*r + 11 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1278088823?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 48 + 206 - 105 - 48. Let h(y) = -6*y**2 + 0 + 5*y**2 + 0. Determine t(h(i)).\nAnswer: 4*i**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*-1*4)\/(sqrt(576)*-3)*5.\nAnswer: 5*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/443, -1\/449, 0.16, -0.4 in decreasing order.\nAnswer: 0.16, 2\/443, 0, -1\/449, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4317052 and 16188945.\nAnswer: 64755780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1258*l + 1242*l + 6432 = 2452*l for l.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4488463237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*a - 4 + (-84 + 222 - 191*a + 189*a)*(-4 - 2 + 1).\nAnswer: 12*a - 690","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 1 - 0. Let v be (1 - (s + 3))\/1. Sort v, -4, 2.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1232 + -718. List the prime factors of n.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15*(350\/(-15))\/(-7). Let q be 5\/(j\/4)*-5. Let c(d) = 2*d - 1. Determine c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - x - 2*x - 40524*x**2 - 89973*x**2.\nAnswer: -130497*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6545331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27995877 divided by 717843?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 30*j - 121. Determine v(19).\nAnswer: -2135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:23 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169 and 20436?\nAnswer: 265668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 10*s + 50. Give v(-17).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (3 - 98)\/(-5). Let f be (a\/6)\/((-12)\/(-18)). Let i = -1 + f. Solve -5 = i*y - 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 - -42) + (-1 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179200 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 31690, 21 in descending order.\nAnswer: 31690, 21, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -1 - 6\/(-99). Let o = 25\/132 + v. Sort -4, 0.1, o in ascending order.\nAnswer: -4, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/70219 and -157\/344172.\nAnswer: 24436212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 86*g**3 - 440*g**2 + 566*g - 60 = 0?\nAnswer: 5\/43, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 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: Is 3279537553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 3 = a - 2*a, 3*x + 6 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274876 divided by -28.\nAnswer: 9817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-880)\/616)\/((-8)\/(-14)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + f**2 + 8*f - 1. Let a(n) = -2*n**3 - 1417*n**2 + 24*n - 3. Determine -a(m) + 3*r(m).\nAnswer: -m**3 + 1420*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 1. Let f be o(-2). What is the third derivative of 2*d**6 + d**6 - f*d**2 + 2*d**6 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 2. Let u be c(2). Let q(v) be the third derivative of v**5\/6 - v**4\/3 - 31*v**3\/6 + 6*v**2 + 148*v. Is q(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = -2*d + d - w, -2806 = 4*d + 3*w. Round d to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -17\/13 (b) -0.4 (c) -4 (d) -3971 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -12*n**3 + 10*n**2 + 10*n - 10. Let o(l) = l**3 - l**2 - l + 1. Let a = 65 - 63. Calculate a*h(u) + 20*o(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 2*n**2 + 3*n**2 + (-2 + 2 - n)*(4*n - 6*n + 4*n) + 3 - n**2 - 3 - 4*n**2 + 2 - 2 in the form l + c*n + b*n**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - d. Let l be x(1). Suppose l*v = -6, -5*n + 0*v - 41 = -2*v. Let b(j) = -2*j**3 - 19*j**2 - 12*j - 8. What is the tens digit of b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**3))\/w)\/w**1)**(-5)*(w**(2\/17)*w**(2\/11))**(13\/4) assuming w is positive.\nAnswer: w**(-753\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 7:46 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279 and 8226.\nAnswer: 255006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 5*w - 3. Let s be h(-3). Suppose 5*g = s*g + 20. Suppose 0*u = 5*u - g, 0 = 3*j - 4*u - 7. Let b(c) = -2*c + 6. What is b(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -47 - 43. Let w(f) = 10*f**2 - d*f**2 - 14*f**2. Let t(i) = -2*i. What is w(t(p))?\nAnswer: -76*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 109 * -3\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1872) + 2 + (4 + sqrt(1872))**2.\nAnswer: 108*sqrt(13) + 1892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t - 93. Let r(g) = -4*g - 46. Determine 5*r(m) - 2*x(m).\nAnswer: -2*m - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 9*l**2 + 9*l + 15. Let b be w(-10). Suppose -5*q = 3*c + b, -q + 0*q = c + 7. Let h(k) = -28*k - 3. Is h(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*b = -7, -15*b + 19*b - 4 = 0. What is the lowest common multiple of t and 254?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1300))*4 + sqrt(1300))*3)**2.\nAnswer: 3600*sqrt(13) + 292644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2604 and 14973.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -392 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r + 4*n - 2*n - 14 = -72*r, 0 = -2*r + 5*n - 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -275 - -274. Which is greater: t or 1.308?\nAnswer: 1.308","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.9 (b) -4 (c) 9 (d) 29 (e) -5 (f) -0.05 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r - 2*w + 80, -4*r + 5*w = -97. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -301, 2, 15\/8, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**2 - 1 + 2 + o + o**4 + 0 + o**2 in the form n + v*o + b*o**4 + g*o**2 + j*o**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(-69 + 34 - 116)*(-1 + 1 - 1)*(0*u - 3*u + u).\nAnswer: -604*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + 3*(-3 + (sqrt(605) - (sqrt(605) + sqrt(605)*1))) + 6*sqrt(605)*3 + -2*(sqrt(605) - 1*sqrt(605)))**2.\nAnswer: -5610*sqrt(5) + 136414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1077*p - 2. Let s(n) be the second derivative of n**4\/6 - 4082*n. Determine s(r(w)).\nAnswer: 2319858*w**2 - 8616*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 564411122 + -564411096.0000003. Let z = -26 + l. What is z rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 + 2)*-30 + 4)*(-49 - -38). Suppose 4*i - 2*p = 3*p - 1517, p = 5*i + 1870. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 5, 16, 31, 50, 73, 100?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3.7. Let j = q - -0.1. Let v = 7.67 - 4.67. Which is the smallest value? (a) v (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 88 - 312 + 82 - 147 in the form o + t*b and give o.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phmmmimmqkmmkm. Give prob of picking 1 k and 1 i.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 10:02 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -582.7911 + -108041.45.\nAnswer: -108624.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -7*b**6\/240 + 493*b**5\/40 - 473*b**4\/12 + 35*b**3 - 1097*b**2. Factor l(q).\nAnswer: -(q - 210)*(q - 1)*(7*q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30849 and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232\/5 - 46. Factor 2\/5*p - 2\/5*p**3 + 0 + 2\/5*p**4 - r*p**2.\nAnswer: 2*p*(p - 1)**2*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gng when three letters picked without replacement from ggng?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-105)\/75 - (-1 - 11\/(-10)). What is the closest to -1 in -5, -2\/9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 183 = 53. Let d = 45 + j. What is the remainder when 34 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73*27090.\nAnswer: -1977570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.8 - 6.7942. What is k rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.457 + -0.457. Put 5, t, -17 in decreasing order.\nAnswer: 5, t, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7200 and 480.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2117 - 9?\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23010495 and 53970.\nAnswer: 322146930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6468 (base 10) in base 5?\nAnswer: -201333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -194, -383, -560, -719, -854, -959, -1028, -1055?\n\"Answer: m**3 - 196*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2378 and -2.\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -436 + 186. Let m = -447 - q. Let f = -87 - m. Calculate the greatest common divisor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 258.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -211, -529, -1011, -1681?\n\"Answer: -4*n**3 - 46*n**2 - 12*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181991887279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/402 and 3\/((-27)\/(-412))*528\/1408?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 + l + 2. Let c be o(0). Solve 0*y + 2*v = -3*y, c*y = v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -29. Which is the closest to -1? (a) -1\/10 (b) z (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d - 5. Let n be k(5). Let v(t) = -t**3 + 4*t**2 + 5*t + 6. List the prime factors of v(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1832 - 5479 - 6*c + 1830 + 1817.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 7*l**2 - l - 6. What is w(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 1:26 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 8 + 8. Let m(a) = a + 18. What is the least common multiple of 13 and m(r)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 73, 117, 167, 223, 285?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let w be (-4)\/(-2)*(-6)\/4. Suppose 2*f - 5*u = -6 - 2, 3*u = 12. Put q, f, w in descending order.\nAnswer: f, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.09 - -0.91. What is the third smallest value in -5, p, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/9, 10\/7, 1\/4, -3, -61 in ascending order.\nAnswer: -61, -3, 2\/9, 1\/4, 0.3, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -o**4\/2 - 2*o**3\/3 - 11*o**2 + o. Let q = -19 + 14. Let r(i) = 2*i**2 + i + 7. Let v(w) = q*u(w) - 16*r(w). Factor v(j).\nAnswer: -2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214382829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12119 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3 + 5*u**5 + 0*u**5 - 6*u**3 + 3*u**4 + 2*u**2 - 8*u**2 + 3*u - 2*u**5.\nAnswer: 3*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o - 3*o + 2*o)*(-898 + 2697 - 895 + 225*o - 901) in the form h*o**2 + m + y*o and give h.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 30*u - 1320 = -42*u. Calculate the smallest common multiple of u and 1570.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:32 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -111101 (base 2) to base 3\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zctzcdctcctkztt. Give prob of picking 2 z and 1 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-8 + -5 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*y - 52912 = 0, 3*c - 5*y - 12890 - 66502 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-7)\/(-15))*3\/4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13312*i**2*y**3 + 14116*i**2 - i*y - 2*y**4 - y**2 wrt y.\nAnswer: -79872*i**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8194.781kg?\nAnswer: 8194781000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 1. Let m = i - -9. Let a(h) = -2*h - 1. Let c be a(1). Does c = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 882 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 13*j - 28. What is the remainder when 46 is divided by u(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (7 + (-9 - -17)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40128?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171427206 to the nearest integer?\nAnswer: 13093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.047 + -5.847. Let t = l - 54.2. Let m = t + 64. Which is the closest to 0.1? (a) 2\/9 (b) -0.4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-70))\/(18\/2 - 0).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14948356 or -14948354?\nAnswer: -14948356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**6\/6 - 5*g**5\/2 + 65*g**4\/12 + 55*g**3\/3 - g + 14. Determine b so that k(b) = 0.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.2838442 times 0.08\nAnswer: -0.502707536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-170)\/(-4)*16\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 21. Let g(j) = -5*j - 84. Let c(d) = 2*g(d) + 9*p(d). Let o be (-2 - (-3 + 1))*-1. List the prime factors of c(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00772324 to five decimal places.\nAnswer: 0.00772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -346 - 0.3\nAnswer: -346.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2*(-17 + -2))\/(-2). Suppose 3*j - a = 50. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, -289, -1038, -2407, -4600, -7821, -12274?\nAnswer: -18163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 493*s**3 + 260*s**2 + 10*s + 5. Let x(u) = -u**3 + 3*u**2 + 2*u + 1. Let d(w) = g(w) - 5*x(w). What is the third derivative of d(q) wrt q?\nAnswer: 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (1 - -4) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-880)\/14)\/(-10) - 6. What is the fourth smallest value in 1\/14, p, -18, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9900 or -9040?\nAnswer: -9040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 43*o - 5440. Let g(w) = -2*w. What is j(g(z))?\nAnswer: -86*z - 5440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 446*s**3 - 7*s**2 - 15*s - 2. Let c(l) = -891*l**3 + 15*l**2 + 32*l + 4. Let h(x) = -6*c(x) - 13*i(x). What are the prime factors of h(-1)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187410, -187447, -187488, -187533?\nAnswer: -187582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4*-58*(6 - 23 - -15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.16517\nAnswer: -0.16517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/6 and 0 - -2 - ((-15300)\/752)\/(-9)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47518206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 394 - 3410 - 3009)*(-5 + 1 + 5)*(3*w + 3*w - 5*w).\nAnswer: -6058*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51052800 divided by -255264.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 232532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135113516.\nAnswer: 2, 4139, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 4*x**2 - 3*x - 3. Let w be b(4). Let p = w - -18. What is the nearest to -2 in -4, 1, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14122 (base 8) to base 9.\nAnswer: -8477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101111110100 (base 2) to base 9.\nAnswer: -85214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.7. Let k = -463 - -458.74. Let m = k - -4.06. Which is the smallest value? (a) y (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynlnllllllylnllyln. Give prob of sequence yyy.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -51*t**3 - 6*t**2 - 2*t - 6. Let n(b) = 103*b**3 + 11*b**2 + 4*b + 11. What is -6*n(m) - 11*s(m)?\nAnswer: -57*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80656206*a**3 + 15034*a**2 + a - 35 wrt a.\nAnswer: 483937236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3407427932?\nAnswer: 2, 851856983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506 <= 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*t - 152 = -4, -c - 71 = 2*t. Do c and -59 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7)*2 + sqrt(7) + sqrt(14)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2582903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + u = -3, -4*f - 2*u = 24 - 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q + 34. Calculate l(-11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12660 divided by 633\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 + -2.9. Let o = -1 - z. Let d = 5.7 + -6. Which is the second biggest value? (a) d (b) o (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2. Let g(o) = -4*o**2 + 7*o - 1. Give -g(d) + 3*s(d).\nAnswer: d**2 - 7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*((j*j**(1\/3))\/j)\/j*j)**17*j**(-11)\/(j*j**(-8\/7)*j) assuming j is positive.\nAnswer: j**(584\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -67*t. Let l be n(-1). Let z = l - -33. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t. Suppose -2*d = -5*d - 48. Let l = -3 - d. Let q(v) = -14*v - 14*v + 43*v - l*v. Calculate x(q(j)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 10. Suppose -28 = -v + 3*b, -3 - 13 = -2*v - 2*b. What is the remainder when v is divided by j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -37. Let n = d - -35.95. Let p be 0 + -1*1\/7. What is the biggest value in 3, n, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 233 and 1?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 27 - 49 - 422)*(h**3 - 2*h**2 + 2*h**2) to the form j + i*h + d*h**2 + r*h**3 and give r.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1237 = 1548. Let v = m - 427. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 393*l**4 - 16 - 17*l**3 - 3*l - 795*l**4 + 401*l**4 wrt l?\nAnswer: -12*l**2 - 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**3 + 2105947*w**2 + 15*w**3 - 2105947*w**2.\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = 0. Suppose q = -v + 5*v - 8. Suppose -v*j + 4 = -2. Which is smaller: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**4 + 5191893*k**3 + 15575709*k**2 - 5191893*k - 15575706 = 0. Calculate k.\nAnswer: -3, -1, 1, 1730634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -3*l - l**2 - 1\/4*l**4 + 6 + 0*l**3. Calculate f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*m**2 + 9 + 3 - 12.\nAnswer: 69*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1568016 and 5328?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -205?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/4)\/((-77)\/28). Let c = 0.7 - 1. Let n = -1.3 - c. What is the second biggest value in w, 2\/7, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o + 152. Suppose -167990*q - 12844 = -168016*q. Calculate the greatest common divisor of q and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {o: 8, y: 8, x: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/4 - 2*b - 20. Let d be x(2). What is the smallest common multiple of (d - -9)\/((-2)\/60) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1965 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 12*y**2 + 526*y + 14. Let s(m) = 2*m**3 + 14*m**2 - 524*m - 17. Determine 6*i(j) + 5*s(j).\nAnswer: -2*j**3 - 2*j**2 + 536*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 7*u**2 - 3*u - 19. Let y be i(4). Suppose 29*r = -y*r + 76222. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467239 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9910 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36935027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrddrrrhddd. What is prob of sequence drdr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62918132*z - 3 + 62918135*z + 3 - 153*z**2.\nAnswer: -153*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**2 - 296*y - 15. Calculate a(-74).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19009\/4 + -4753. Let l = 1.8 + -2. Which is the closest to l? (a) 0.07 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5*t + 3)*(-5084 + 14111 - 2702 + 12998) as f + w*t and give w.\nAnswer: -96615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 214 (base 7) in base 11?\nAnswer: 9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/237984 and -61\/23584.\nAnswer: 2617824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.91381291 to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1038483761 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975 - 972 - 46\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 10220101?\nAnswer: -10220102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1586617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.37748 nanometers to centimeters.\nAnswer: 0.000002937748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -616 * -0.12.\nAnswer: 73.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1388455, 2776917, 4165379, 5553841?\nAnswer: 6942303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-45*k**4 + 45*k**4 + 7*k**5 + (-k + 15*k**3 + k)*(0 - 2 + 0 + (1 - 2 - 2)*(-6 + 2 + 2))*(3*k**2 - 3*k**2 + k**2)).\nAnswer: 134*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.66.\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.8 + -2. Let c = -0.3 - a. Let r be 3 + (45*(-2)\/4)\/6. What is the nearest to c in -1\/2, r, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -0.5 (c) -286 (d) 0.2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97180402453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28*2\/((-16)\/28)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6424129 by -51.\nAnswer: -6424129\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 282\/(-39) + 9\/39 - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/9)\/((-1)\/(-288))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**4 + 0 + 0*o**5 + 0*o - 1\/6*o**3 - 1\/60*o**6 - 2*o**2. What is the first derivative of z(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820729 minus -6654?\nAnswer: 3827383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 940380879, 940380878, 940380877, 940380876, 940380875, 940380874?\nAnswer: 940380873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -133\/2. Let l = -7.7 + -0.3. Let k = 4 + l. Which is the closest to 1\/3? (a) g (b) 3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 + 89 = 4*g + 4*r, 0 = -4*r - 16. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*t = -407*t + 786*t + 850 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5404*y. Let m(z) = 23*z. Give m(p(q)).\nAnswer: 124292*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1487 - -4?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 - 14*y - 36. Determine w(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 22, 5, -2 in decreasing order.\nAnswer: 22, 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + 1 + -7)*89\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468780 to the power of 1\/2, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 5986185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 21*y**2 + 2*y + 42. Calculate l(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*u**3 - 5*t*u**2 + 545*t - 26*u**3 with respect to u.\nAnswer: 3*t*u**2 - 10*t*u - 78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 16 = x, -95*i = -x - 96*i + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 15. Suppose -5*l + 36 = -3*m + 195, 6 = 2*l. What is the remainder when m is divided by u(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 861 = -4*o, -179 - 108 = -n - 3*o. Suppose -4*g + 240 = g. What is the remainder when n is divided by g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/4 + 30*f**4 + 806*f**3 - 11217*f**2\/2 + 42903*f\/4 - 11907\/2 = 0.\nAnswer: -63, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2872 + 3280. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8919 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 12\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 3*p**2 - 3*p. Suppose -5 = -5*y + 5*l, -3*y + 4*y = -4*l + 6. Suppose 0 = -4*i + 4*b, -3*i - 8 + 16 = 5*b. Suppose i = -x - y. Give f(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 8. Give z(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101111010111 + 1001101100?\nAnswer: -100100101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 - 15*f**2 - 9*f + 3. Let v(u) = u**3 + 3*u**2 - 1. What is -5*v(n) - y(n)?\nAnswer: 2*n**3 + 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*sqrt(833))**2 - (sqrt(17) - (3 + sqrt(425)))) + sqrt(85)\/(sqrt(135)\/sqrt(3)) + (sqrt(85)\/(sqrt(5) - sqrt(405)*-2))**2.\nAnswer: 13*sqrt(17)\/3 + 2708600\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 9*w - 24. Let h be v(11). What is the tens digit of (-14344)\/(-154) + h\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1251444?\nAnswer: 1251444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/55966 and 67\/6.\nAnswer: 167898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a decade?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47436 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 208178994, 208178991, 208178988, 208178985, 208178982, 208178979?\n\"Answer: -3*q + 208178997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 92*w**2 - 13*w + 75. Let g(h) = -116*h. What is q(g(m))?\nAnswer: 1237952*m**2 + 1508*m + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30479861 - -0.1638146.\nAnswer: 30479861.1638146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, -0.3, 4\/2063 in ascending order.\nAnswer: -3, -0.3, 4\/2063, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 4*t**2 - 2. Let h be y(3). Let w(x) = -x**3 + 2*x**2 + 4*x + 6. Let f be w(0). What is the lowest common multiple of 16 and 44\/f*(10 - h)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21619441?\nAnswer: 179, 120779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 7 - -21 - (-12 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:37 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -678.89 - -708. What is k rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:01 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 7 = -3*h + 3*p, 3*h = -2*p + 22. Suppose j = 3*j - h. Solve 6*z + j*i - 20 = 2*z, -3*z = -4*i + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1912, 7109, 15594, 27367, 42428, 60777, 82414?\n\"Answer: 1644*u**2 + 265*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**2\/5 - 69*u\/5 - 42\/5 = 0.\nAnswer: -7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*g - 46 + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 1, x: 1, q: 2, g: 1, c: 1}. What is prob of sequence axcm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.31. Let u = -0.39 + l. Let x = 65\/22 - 16\/11. Put -1, x, u in increasing order.\nAnswer: -1, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -17*h. Let b(t) = 52*t. Let p(g) = 3*b(g) + 8*n(g). Let s(c) = 3*c. Calculate s(p(v)).\nAnswer: 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -238*f**3*p**2 + 2*f**3*p - 394*f**3 - 3*f wrt p.\nAnswer: -476*f**3*p + 2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42772390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 61?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-4 - -5)*7. Differentiate 14*o + 32*o - y*o + 11 wrt o.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21127158.6 and 0.2.\nAnswer: -4225431.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by 9611964.\nAnswer: 5\/1067996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245975, 246294, 246615, 246944, 247287?\nAnswer: 247650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0 + 4 = 0. Let n(g) be the third derivative of -3*g**6\/20 - g**5\/30 + g**3\/6 - 468*g**2. Determine n(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 39*t + 86. Let v be r(37). Let k be 1\/v - 90\/(-72). What is the nearest to -2 in -2\/19, k, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8098*h**2 + 27*h - 26. Suppose 29*j = 26*j + 66. Let q be u(j). Round q to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -188*(969\/68 - 14). What is the nearest to -0.2 in z, -4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + t**2 + t - 2. Let x be s(0). Suppose -19*m + 55 = -18*m. Suppose -12*w + m = -w. Which is smaller: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 74 = 3*r, 750*x - 744*x = -2*r + 26 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)\/((-6)\/(-30)). Suppose -r*x + 59 = 3*y, y - 44 = -3*x - 7. Suppose -3*o + 18 = 3*z, -x = -3*z - 3*o + 5*o. Put 2, 1, z in increasing order.\nAnswer: 1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 48*p - 45. Let w be o(-8). Let d be (-8)\/52 - 1496\/w. What is f in 2\/3 + 8\/3*f**2 + d*f = 0?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-3)*28\/8. Suppose 557 = -x*b + 1453. Is 4 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + f + 1. Let m(w) = -w**2 - 5*w - 6. Determine -m(n) - 4*s(n).\nAnswer: 5*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17017 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 4*q + 3. Let s be a(-4). Suppose -u - t = -1, -5*u + s = -t - 2. What is the first derivative of 5 + 7*i**4 - i**4 - u wrt i?\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(16\/5)*a**(-2)*a assuming a is positive.\nAnswer: a**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*s + 80 = 69*s. Let x be ((-24)\/30)\/(1\/s). Round x to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13974 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 3*i + 9. Let r be k(3). Calculate the greatest common factor of 990 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 1:28 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**8\/84 + 2*d**7\/105 - d**6\/2 + 23*d**5\/15 - 5*d**4\/3 + 6*d**2 - 4. Determine r so that c(r) = 0.\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrro when four letters picked without replacement from krkrooororrrrororror?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/11)*d*d**(-1\/3)*d*d)\/(d*d**0)**(-2\/75) assuming d is positive.\nAnswer: d**(3197\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.06768ng to kilograms.\nAnswer: 0.00000000000206768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25410 by -42.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 149 and 36.\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -5 + 5 - 7) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282523*q**3 - 3*q**2 + 94153*q**3 + 94159*q**3 + 94210*q**3 + 3*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (219 - 236) + (40 - 1) + (5 - 2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2964 and 684.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, n: 13, x: 2, l: 3, b: 1}. Give prob of picking 2 x, 1 j, and 1 n.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213204 is divided by 302?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -4*z + v - 15, 12 = 5*z - v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 1:58 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.25*36730\nAnswer: 45912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 - 20*g - 20*g + 40*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 5. Let j = q - -15.8. Let f = j + -12.047. Round f to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 464*p**2 - 1 - 457*p**2 + 8*p**4 + 1 wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n - 7. Suppose -10*b - 50 = -5*b. Let q(r) = -3*r - 3. What is b*q(a) + 4*v(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i**5 - 8455*i**4\/3 + 343697*i**3\/3 + 428899*i**2\/3 + 62812*i\/3 - 4628 = 0. What is i?\nAnswer: -1, -1\/3, 2\/17, 78, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let b(z) = 55*z + 1. Let r(t) = -212*t - 919. Let o(c) = -4*b(c) - r(c). Give k(o(x)).\nAnswer: -8*x + 915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 11 + -2 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-16) + 21399\/(-56) + 4. Let x(t) = t**2 - 9*t. Let k be x(8). What is the units digit of d\/k + 2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 25, 3, 5 in descending order.\nAnswer: 25, 7, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*(3 + -4 + (((sqrt(120)*-1 - sqrt(120)) + sqrt(120))*4 + sqrt(120))\/(sqrt(24) - sqrt(24)*2)))**2.\nAnswer: -1350*sqrt(5) + 10350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddhdddhhdd.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041508246 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 10:22 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/78*42)\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x. Let r be ((-6)\/12)\/((-1)\/4). Let i(c) = -c**2 + 2 - r*c**2 + 2*c**2. Let a(n) = -3*n**2 + 5. Let p(b) = -2*a(b) + 5*i(b). What is z(p(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 take away -124?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8283338ml?\nAnswer: 0.0008283338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3481)\/(-649))\/((-13)\/(-143))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*n + 205 = 3*b, 4*b + 4*n - 156 = 0. Suppose b = 5*f - f. Suppose 19 + f = 3*a. Solve -2*x - 3*x + a = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-60)\/16)\/(3\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4116 + 4134. Let q(m) = m**2. Let a(t) = 15*t**2. Determine j*q(r) - 2*a(r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 4*q**2 + 20*q + 70. Calculate the lowest common multiple of p(0) and 1204.\nAnswer: 6020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 5. What are the prime factors of (156\/b)\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 721 = 79*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2663 + -6?\nAnswer: -2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-17)\/34).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54259, -4, -5 in descending order.\nAnswer: 54259, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 40 = -3*o. Let t = 1 - -1. Suppose -2*s = -5*p, -4*s = -t*p - 0*s - 16. Solve -j - 2*u + o = -p*j, -5*j - 5*u = 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 2. Let j be t(6). What are the prime factors of (-1)\/(1\/j - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159977, -160004, -160031, -160058?\nAnswer: -160085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 3130 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(-37)\/(l**0)**(-3\/10) assuming l is positive.\nAnswer: l**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (21 - 10 - 17 - -6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/5140408 and -71\/200928.\nAnswer: 61684896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(11) + 2 + sqrt(11) + 3*(sqrt(1100))**2.\nAnswer: 2*sqrt(11) + 3298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*h - 49392 = 16365, -5*f - 2*h = -82254. Calculate the greatest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 928*p**4\/11 - 14374*p**3\/11 - 67704*p**2\/11 - 88574*p\/11 - 36172\/11 = 0?\nAnswer: -2, -1, 9043\/464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(15 - 1 + 0 + 4*i - 1) - 167*i + 247 - 247.\nAnswer: -179*i - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875092411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.52 - 19.32. What is the nearest to 1 in -3\/7, -4, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 + 2*n - 5. Suppose a + 8 = 5*a. Let f(m) = 4 + 5*m - 5*m**a - 5*m - 2*m. Give -6*d(s) - 7*f(s).\nAnswer: -s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 - 372*o**2\/7 - 1130*o\/7 - 108.\nAnswer: 2*(o - 189)*(o + 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 69*w + 3468 = 64*w, 3*c = w + 5163. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Let s = c - -9. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 7*i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15206500 (base 7) to base 3\nAnswer: 2201112212201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 7*b + 16. Let q(l) = l**2 + 3*l - 1. Let z be q(-5). Let j = z - 2. Is y(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - m + 0*m + ((10 - 10 - 15*m)*(-2 + 1 - 1) + m + 2 - 2)*(-6 + 8 + 8).\nAnswer: 308*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + 2*c**2 - 2*c**2)*(-c - 1 + 1 + (4*c + c - 6*c)*(-3 - 2 + 3) + 3*c - 5*c + 3*c - 45 + 15*c + 45).\nAnswer: 34*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 358751.\nAnswer: 358746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r = -1497357 + 559558. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23855 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6487 divided by -2?\nAnswer: 6487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.02?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-3\/2)*y**(-3)*y)**(1\/59))**50)**(1\/11) assuming y is positive.\nAnswer: y**(-175\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 15*p - 784. Let j be w(49). Sort 0, -1, -3, 3, j in descending order.\nAnswer: 3, 0, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 12. Let h(l) = -3*l - 11. Let t(j) = -6*d(j) + 5*h(j). Let n be t(5). Let i = 11 - 6. What is the third biggest value in 0, i, n, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 965 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 2)*(-5 + 0 + 3)*(-3 + 1 - 1)*(2*n - 2*n - 2*n).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let h be 18\/45 + 2\/(-5). Suppose 3 = 2*i - 3. Let m = h - i. What is o(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21293917*h**3 - 104178*h**2 - 27*h - 1 wrt h?\nAnswer: -127763502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1166 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 - 16 = 4*b, 28 = -4*m - 5*b. Let f(k) = 29*k + 14. Let s be f(-6). Let n be s\/(-6)*(m + 362). Round n to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -498, -687, -1010, -1467, -2058, -2783?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1360092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(448))*-5 + 4 + (sqrt(63)*2*5 + 0)**2*-2.\nAnswer: -12611 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 248, 368, 486, 602, 716, 828?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22314199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by (4 - 0\/1) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -36*x - 353. Calculate s(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60a + 2?\nAnswer: 60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n - 21*n**4 + 28*n**4 + 2*n + 2*n**3 + 0*n**3 to c*n + o*n**3 + y + p*n**2 + q*n**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(1 + 39\/2). Let v = -19 + a. Suppose -2*w = 3*t + t - v, -5*w = 3*t - 34. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/28)\/(1\/(-2)*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + 6*sqrt(266)\/sqrt(7) + 5*sqrt(342))\/(((sqrt(3872)*-2 - sqrt(3872)) + sqrt(3872))\/sqrt(4)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -71 + 19 - 25.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from xzrgzggzgzzzr.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.81 - -3.19. Which is the nearest to 1? (a) 3 (b) 2\/25 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:21 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**2. Let n(c) be the second derivative of c**5\/30 + c**4 - 103*c**3\/6 + 144*c. Let r(k) be the second derivative of n(k). What is r(s(w))?\nAnswer: -12*w**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - 16.3. Let j = 17.3 + n. What is the third smallest value in -3, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by (-12)\/(-21)*(-420)\/(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**3 - 7*n**2 + 5*n + 2. Let v(x) = 3*x**3 - 8*x**2 + 6*x + 2. Let s(o) = 2*m(o) - 3*v(o). What is the remainder when 19 is divided by s(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2 - 2 + 16*z**2. Let r(m) be the first derivative of 1\/2*m**2 + 27 + 0*m. Calculate i(r(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 45 + 1699*o.\nAnswer: 1699*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311661 is divided by 2665.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.138\nAnswer: -0.00414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, 8, -4, -7.4, -6, 1\/8, -26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -2. Let g = -3.1 - p. Suppose -3*t - 2 = -f, 4*f + 1 = -t + 9. Which is the biggest value? (a) g (b) -3\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 96*z - 98*z - 10, 11 = 5*o + 3*z. Suppose b = -4*b - 20. Put o, -1, b, 1 in descending order.\nAnswer: o, 1, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r)**(7\/9))**(-17) assuming r is positive.\nAnswer: r**(-476\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 4*x - 62. Suppose -4*f = 5*p - 57, -4 = -3*p - 1. What is the tens digit of b(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.4945 nanometers to centimeters.\nAnswer: 0.00000134945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/7 - 6522*i**3\/7 - 19548*i**2\/7 - 19542*i\/7 - 6513\/7.\nAnswer: -3*(i + 1)**3*(i + 2171)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 83662032.\nAnswer: -25098609.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:41 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 2*z + 7. Let s be y(-3). Let l(d) = d - 2. Calculate the common denominator of 2 + (-7 - s) - 18\/20 and l(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14 and -15914 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + h = -0*h - 6, -3*h = -2*u - 2. Suppose u*z = -2 - 3. Let c be 0 + 0 + 2\/(-8). Is z bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*w**2 - 33*c**2 + c*w**2 - 779*w**2 wrt c.\nAnswer: 4*c*w**2 - 66*c + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4 + 304*t**3 - 161*t + 1.\nAnswer: -36*t**2 + 1824*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2.7. Let c = 2.3 - b. Sort -0.2, c, 0.1 in ascending order.\nAnswer: -0.2, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-14))\/(-54*1\/540)?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48080 = 896*p + 67901 - 13837 for p.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2322902 is divided by 1160891.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -7. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfsgggggsgfsgs. What is prob of sequence gs?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2*9\/(-6). Let k(p) = p**3 + 4*p**2 + p. Let u be k(c). What is the third derivative of w + u*w**2 - w - 4*w**2 - 2*w**5 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and -25912?\nAnswer: -33685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:22 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297990 and 4515.\nAnswer: 297990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10200, 10194, 10186, 10176, 10164?\nAnswer: 10150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 142 = 18*b - 8 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-4\/7)*v)**(-4\/19))**(1\/5) assuming v is positive.\nAnswer: v**(-12\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 56 + 45*g - 1\/2*g**2 + 61\/3*g**3. Find the second derivative of i(o) wrt o.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1781574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16078 (base 9) to base 10.\nAnswer: -11006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -160*a*l + 160*a wrt l.\nAnswer: -160*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-366)\/(-21) - 4\/(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - 31*z - 8. Let l be y(5). Let w = l - -7. Which is the second smallest value? (a) 3 (b) 1\/5 (c) -1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100600000 = -19*p + 21*p. What is p rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 3840?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, r: 2, a: 8, u: 4, k: 4}. Give prob of picking 1 r, 1 u, and 2 b.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3\/2 (c) 9 (d) -0.0002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.31 and -0.1?\nAnswer: -1.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1249217 + -1.13052.\nAnswer: 1249215.86948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 times 0.1\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzc when three letters picked without replacement from {c: 3, n: 8, z: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -13 + l**4 - 52\/3*l**3 + 32*l**2 - 12*l. Let r(s) be the first derivative of v(s). Factor r(k).\nAnswer: 4*(k - 8)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41922076259 plus 0.07?\nAnswer: -41922076258.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-476)\/(-4) + -1 + -3. Let r be -1*(8\/6 + 730\/(-30)). What is the highest common divisor of r and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -45.9274. Round g to 3 dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252494939.8 rounded to the nearest one million?\nAnswer: 252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3965010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 300816138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 5 - 19*m - 3*m. Is q(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:07 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266 or -2392\/9?\nAnswer: -2392\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 3116*o**2 - 180432*o.\nAnswer: -4*o*(o + 63)*(o + 716)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**7\/1260 + r**6\/180 + r**5\/60 - r**4\/6 + r. Let s(a) be the third derivative of i(a). Let s(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-3)*(k\/(k\/k**(-15)))\/k)**(-2\/101))**(10\/3))**(-8) assuming k is positive.\nAnswer: k**(-3040\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 5. Let v = 10 + x. What is the remainder when v is divided by 20\/3 + 2\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/((t**(-2\/3)\/t)\/t))**(-1\/19) assuming t is positive.\nAnswer: t**(-20\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 3. Let g = -34 - -33. Let p be (g - 0) + 3\/(-5). Which is the third smallest value? (a) -2 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21493515 or -21493516?\nAnswer: -21493515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r**5\/5 - 2327*r**4\/5 - 14724*r**3\/5 - 21148*r**2\/5 - 2288*r\/5 = 0. Calculate r.\nAnswer: -4, -2, -2\/17, 0, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 193204149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/4 - p**3 + p**2 - 4*p - 3. Let m be s(-4). Suppose -3 = m*l - 7. Sort -3, l, 2.\nAnswer: -3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 25*b - 2. Let o(g) = -111*g**2. Give o(u(w)).\nAnswer: -69375*w**2 + 11100*w - 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44621 * 17.38\nAnswer: -775512.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1635 + 1634. Which is the closest to y? (a) -0.1 (b) 6 (c) -1\/22 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1833743 and 4.8.\nAnswer: 8801966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -4*c - 7. Let b = c - -32. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1457, -1490, -1523?\n\"Answer: -33*y - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 5. Let c be d(-3). Let n be ((-47)\/2)\/(2\/(-4)). Let w = n - c. What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 258365 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 432*f - 23328.\nAnswer: -2*(f - 108)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 973, -3, -14\/9, 3, -2.8?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.399 + 676006.\nAnswer: 676006.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37713 = -2574*a + 9399 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 + 0.5. Let u be (-1 - (-38)\/14) + -2. Which is the smallest value? (a) q (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 38*l. Let s(r) be the second derivative of r**3\/6 - 31*r. Give s(u(j)).\nAnswer: 38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1771.\nAnswer: -2\/1771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -35049, 5 in increasing order.\nAnswer: -35049, -1.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28728191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 10*b**3 - 12*b**2 + 40*b + 64.\nAnswer: -(b - 2)*(b + 2)**2*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -13*z + 1674. List the prime factors of z.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-5) - (2 + -6). Suppose a*y = -0*y + 135. What is the remainder when y is divided by 3\/(-3) - (-22)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -5*m - 3. Let h be r(-2). Let l(i) = i**2 - 6*i - 1. Let q be l(h). Let s = q + -2. Solve -4 = -4*w + 3*w + b, -b + s = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*i*n + g*i + 8*g + 8*i*n - 7*n - 3 with respect to n.\nAnswer: -2*g*i + 8*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12410756 to the power of 1\/2, to the nearest integer?\nAnswer: 3523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214299, -214186, -213905, -213372, -212503, -211214, -209421, -207040?\nAnswer: -203987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124.272 + -0.272. Let m = t + -125. Let y = 15 + -15.09. Which is the fourth biggest value? (a) m (b) 4 (c) -2 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1050 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 0 (c) -2 (d) 17876 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*s - 130*s = 126*s + k - 19, -k + 3*k + 40 = -5*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-6 - (-5 - -1)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - caa?\nAnswer: -ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2262178323139 minus -0.0925?\nAnswer: 0.3187178323139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*c*m**3*o**2 + 2*c*m**2 - 51*c*m*o**3 - 217*c*m*o**2 - 6*c*m + 24292*m**3*o**3 + m**3 wrt o.\nAnswer: -306*c*m + 145752*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/27 + (-4396)\/490 - 126\/(-9).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 538*q + 45. Is h(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 361 = 4*l. Let i = l - 242\/3. Let x = -3.09 + 3.59. Which is the closest to -1\/4? (a) 0 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*j + 29 - 29.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*j - 8*j. What is the second derivative of 3*v**3 - 47*v**3 + 8*v**3 - 2*v**j - 1 - 17*v + 13*v**3 - 46*v**3 wrt v?\nAnswer: -24*v**2 - 414*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32 - 0.12. Let g = m + 0.2. Which is the third smallest value? (a) 46 (b) -5 (c) g (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-9)\/c*c\/c**7)**32 assuming c is positive.\nAnswer: c**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1250674 - 851727. Let b = a - -6951053. Suppose -n = -4*n - b. What is n rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4245854 to the power of 1\/2, to the nearest integer?\nAnswer: 2061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 73*w + 25. Suppose -15*m - 23 - 22 = 0. Let t(d) = 218*d + 71. Let z(n) = m*t(n) + 8*y(n). What is the first derivative of z(r) wrt r?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a week in minutes?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*u, 5 = 3*j + 3*u + 29. Let s be (61\/3)\/(j\/12). Let g = 9511\/390 + s. Is g > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 47*f**2\/8 - 203*f\/8 - 9251\/8.\nAnswer: -(f - 29)**2*(f + 11)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 845095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 853 = -3*n, -3*n + 4*l + 375 = -481. What is the highest common divisor of 923 and n?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3092 + -1341. List the prime factors of h.\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 627\/(-22) + 2502\/36\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k**2 - 7*k + 146. Is s(-18) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 + (-10 - -6)) - -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -709, -3, 3, 706, 4 in descending order.\nAnswer: 706, 5, 4, 3, -3, -709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 116713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13210300 + 303142?\nAnswer: -12402103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 101858.\nAnswer: -20371.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*y = 26, 0*k = -5*k - 4*y - 26. Let b be k\/(-10) + (-21)\/35. Solve b = -4*v + 6 - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 177. Let l(z) = -96*z**2 + 376*z**2 - 95*z**2 - 94*z**2 - 93*z**2. Determine l(j(c)).\nAnswer: -8*c**2 + 1416*c - 62658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 3292*l**3 - 3290*l**2.\nAnswer: -2*l**2*(l + 1)*(l + 1645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2700*d - 15 + 2700*d + 35*d**2.\nAnswer: 35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -52 - ((-10 - 4) + 12 + -4 + 4)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/23)*f*f*f*f**(-15\/8)*f*f assuming f is positive.\nAnswer: f**(591\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9648 and 32696?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010211002 + -211110?\nAnswer: 1002222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 580 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t - 5*t)*(3 - 3 + 12*t)*(15 + 1 - 5) to the form w*t + h + x*t**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 9. Suppose 0 = -5*g + 5 + 45. Let r = g - 5. Does 7 divide j(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 360 + -358. Solve 8*x + 12 = 4*x, 4*y + o*x = -14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.18, -4\/5, -5, 0.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1600?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69604)\/18 + (-10)\/30. Let j = 3875 + i. What is the common denominator of -53\/81 and j?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-9) - (-4)\/(-18). Suppose -f*c + 6 = -10. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2007 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*n + 3*n. Suppose -m = -5*v - 5, 4 = -5*m - 4*v - 0*v. Is n at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 - 70*g**3 + 3*g**3.\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 14 + 3*p**2 - 3*p + 3\/16*p**4 - 5\/4*p**3. Factor w(c).\nAnswer: 3*(c - 2)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 23*t - 3 - 24*t to the form k + f*t and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-3)\/(-9) + (-44)\/(-6). Suppose -d*a = 12*a - 8056000. Round a to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -3.9. Let g = -6.2 + n. Let z = 331 + -4967\/15. What is the nearest to 1 in -5, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4*2\/4). Suppose 6*p + 215 = 107. Let b(s) = -s**3 - 18*s**2 + 2*s + 32. Let i be b(p). Sort -10, i, 4, z in increasing order.\nAnswer: -10, i, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 4*l**2 + 5*l**2)*(-34*l - 18*l**3 + 34*l)*(1 + 4 - 7).\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/3 (c) -2 (d) 1\/4 (e) 140 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*a - 4*l, 5*a + 2*l + 11 = 25 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/33*(-12 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = 3*z - i, -5*i + 20 = 5*z. Let b(p) = 72*p**2 + 2*p + 2. Let d be b(z). Let n = -35 + d. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15798411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -2*s - 4, -3*s + 339*d = 334*d - 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 10752 - 2754 = -2*r, 0 = -r + 1. What is l rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -616 - -1255. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 20050.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (31\/(-6727))\/((-1)\/(-7))*-1\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77)\/110 - 9\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b - 67*b - 66*b + 255*b - 45*b - 52*b.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1427 + -1419 - ((-14)\/(-1))\/(-2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/5, 0, -7.625, -5, -6\/7, -4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 0 (b) -0.2 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4541450 - 8453850. Round o to the nearest 10000.\nAnswer: -3910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*t + 74 - 51 = 2*m - m, 23*m - 3 = -4*t - 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599 is divided by 529?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5968199?\nAnswer: 5968199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 10250 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y + 3. Let h(z) = -29*z**2. Determine h(r(u)).\nAnswer: -1421*u**2 + 1218*u - 261","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 414621 and 4006?\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7337 - 36682\/5. Which is the second biggest value? (a) 0.295 (b) x (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 38 - 1)*(1 - 1 - 2*v).\nAnswer: 162*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2. Let r(g) = g - 1. Let l be ((-1)\/(-4))\/((-7)\/28). Let a(z) = -4*z + 3. Let w(h) = l*a(h) - 3*r(h). Give w(t(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*y - 93*y - 110 = 5*w, -6*w + 2*w = 3*y + 88 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:20 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 4 (c) 4\/3 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o - 3. Let f = -3 + -3. Let w be l(f). Solve w*a - 10 = 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 138*n - 681. Give t(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 - 441*f - 1296 = 0 for f.\nAnswer: -144, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 83. Let d = 7 - 7. Suppose 5*s - s - 2*x - 72 = 0, -2*s - 5*x + o = d. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1222645630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.06 - -480.94. Let w = -491 + f. Which is the biggest value? (a) w (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9 + 30. Suppose 63*y = 53*y + 1170. Calculate the greatest common factor of g and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 626 - 618 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.5, -5, 1.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 311 + -4045\/13. Let p = -88.1 - -76. Let l = p + 12.5. What is the closest to -2 in 0, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80940000 rounded to the nearest 1000000?\nAnswer: -81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/2 - 1)\/(-1). Let u(g) = 0 - 4*g + 1 + 3*g + g**2 - g. Let b be u(p). Solve -3*l - 5*w + 20 = 0, 5*l - 4 = -5*w + b*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-3))\/6*(-8)\/(-64))\/((-614)\/(-2456))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 7*r + 3. Let s be b(7). Suppose -s*q = 2*x - 64 + 5, q = 1. What is the greatest common factor of 28 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faa when three letters picked without replacement from aaf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-45)\/(-90) + (27\/2 - 1). Let y(o) = q*o - 13*o + 12*o**2. Let v(z) = 2*z. Give y(v(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 4 - -75 - 7 - 14.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 1. Let n(a) = 3*a - 6. Let m = 0 - 1. Let v(l) = m*s(l) - n(l). Find the first derivative of v(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*l + 51 = 6, -2*l - 30 = -4*z. Let q(k) = k**2 - 3*k + 10. What is the units digit of q(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98448, -98410, -98372, -98334, -98296, -98258?\nAnswer: -98220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*i = 39, -34 = 6*f - 2*f + 2*i. Let n(s) = s**2 + 9*s + 3. Let p be n(f). Let d(g) = -g**2 - 4*g - 1. Let m(t) = -t. Determine p*m(v) - d(v).\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31314268, 125257064, 281828390, 501028246, 782856632, 1127313548, 1534398994?\n\"Answer: 31314265*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5902*u - 78238 + 78238 + (3 + 2*u - u - 2)*(-4 + 4 + 1).\nAnswer: 5903*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231.000106 - -231. Round p to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from {j: 10, x: 2, a: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 246 + 329. Let s = 574.9753 - z. Round s to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-1) - 3) + 105. Let a(u) = u - 5. Let d be a(7). Suppose 4*m - d*m - 24 = 0. What is the greatest common divisor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**8\/10080 - 41*n**5\/20 + 81*n**2. Let i(u) be the third derivative of b(u). Let c(q) = 71*q. What is c(i(m))?\nAnswer: 142*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y + 27. Let t be c(11). Suppose 2*v + t*v = 210. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -6, -10, -14?\n\"Answer: -4*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 >= -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/103 + 212\/309. Determine v so that 2\/9 - z*v + 2\/3*v**2 - 2\/9*v**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693954 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 414 + 2. Let b be x\/10 + 4\/10. What is the greatest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026068185 rounded to 7 decimal places?\nAnswer: -0.0002607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b + j - 15, 5*b - 4*j + 41 = 0. Let d(a) = 17*a + 13. Let c(v) = -4*v - 3. Give b*c(g) - 2*d(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhftkhkfstfgfffhk. What is prob of picking 1 s, 1 k, and 1 f?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428 and 129042.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13301*-6.6.\nAnswer: 87786.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3520397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -40570 <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -224 and -479854\/2143 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**5\/60 - i**4\/4 + 5*i**3\/6 - i**2. Suppose -3 + 9 = -z. Let w be s(z). Solve -5 = -2*p + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/3, 0.3, -90, -4 in ascending order.\nAnswer: -90, -4, -0.4, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j - 34 + 70. What is the nearest to 8 in j, -0.05, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 + 3669*l - 3670*l + 1. Let m(v) be the third derivative of -v**5\/30 - v**2. Determine m(c(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3439 + 3404. Let q(y) = -3*y + 4. Let r be q(3). Put 4, k, r in increasing order.\nAnswer: k, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 2*r**2 + r. Let d be k(-2). Let q = -11 - d. Suppose 0 = 8*a - q*a - 3. Solve h = a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56136367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = j - 16, 4 = -j - 2*i. Solve -2 = 2*t - 5*v - 4, -j*v = -5*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3734*b - 3714*b + 2*z + 22, -z = -5*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 46*d**3\/3 - 26*d**2 - 5*d - 7. Is a(5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, 284, 846, 1896, 3596, 6108?\n\"Answer: 27*w**3 + w**2 + 44*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:34 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 15*m + 815. Determine y(37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2416\/18 - ((-48)\/27)\/(-8). Suppose 131*r = q*r - 6. Let t(d) = -6*d**2 - 7 - 26*d + 2*d**2 + 5*d**r + 30*d. Give t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(114)*2*3)\/(-1*sqrt(486)) + 5.\nAnswer: 2*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (1 + -1 + 0 + 6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 25. Let q be 30\/k + -4 - -5. What is the third smallest value in 0.1, -2, q, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g + 4. Let k be z(0). Suppose 79 - 3 = -k*h. Let o = 52 + h. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 11*c + 9 = 0. Calculate the smallest common multiple of c and 3\/5 - (-111)\/15.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -27215806?\nAnswer: 27215801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-54)\/150*323\/(-2907).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 36636800?\nAnswer: -36636785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4510.222 hours to seconds.\nAnswer: 16236799.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 346, 351, 360, 373, 390, 411?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1297 + 1365. Calculate the greatest common divisor of f and 1666.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762 divided by -6?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 1\/3, -2, 5 in descending order.\nAnswer: 5, 3\/8, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -c + 44, 5*t - 3566224 = -13*c - 3566336 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13976 + 13976 + 169*s to w*s + f and give w.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-1)*(12\/(-10))\/((-6918)\/(-11530)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 20*h + 1254 = 0. Suppose 146 = -4*c + h. What are the prime factors of (-24)\/(-15)*(c - -2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-775)\/62)\/(-25)*(-390)\/1144*16\/6?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 975 + 141 = 4*n. Let s = -277 + n. Let k = -5.3 - -5. What is the third biggest value in s, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wh when two letters picked without replacement from {l: 2, h: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5046 by 281.\nAnswer: -5046\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**4\/24 - 7*z**3\/6 + z**2. Let q be b(-5). Suppose -735*y + 10 = -733*y - a, -a + 5 = y. Put 0, q, y in ascending order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + h + 8 = 0, 7*y - 17 = 4*y + 5*h. Let k = 18 + -8. Suppose 5*x = -0*x - k. Which is bigger: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/19 (b) -2 (c) -101538\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 + -107. Let c be ((-6)\/z)\/((-81)\/180) + 3. Let u = -137 - -957\/7. Put u, c, -5 in increasing order.\nAnswer: -5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/2 in -4, 651, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 407, 0.03, 1.2743?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/(n*(n*n**(-2\/5)*n)\/n))\/(n\/(n\/n**(3\/11))*(n\/(n**(2\/29)*n))\/n*n) assuming n is positive.\nAnswer: n**(-16949\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*4*(-612)\/(-5895). Let g = -2\/131 - w. What is the biggest value in 0.2, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 982 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60220327049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-1)\/(-2)*6. Suppose 2*q - 1 = t. Suppose -8*b + q*b - 66 = 0. Is -22 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 95699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = z - 1, -3*a + 4 = -3*z + 25. Let t = 112 + -65. Let g = t + -41. Calculate the highest common divisor of z and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**2. Let f = -30 - -33. Let k(d) be the second derivative of -1\/12*d**4 - 4*d + 0*d**f + 0 + 0*d**2. Determine z(k(q)).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 2*l**2 + 25*l - 8. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*o - 232. Suppose -38*q = -34*q - o. Solve 2*a + q = 5, 0 = -3*p - a - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**6\/360 - l**5\/120 + 5*l**4\/24 - l**3 + 4*l**2. Let h(v) be the first derivative of g(v). Determine h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 5*q**2 + 3*q + 5. What is c(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -23*d**4\/12 - 10*d + 7. Let p(h) = -2*h. Give p(a(w)).\nAnswer: 46*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.2, 2, -10, 3 in decreasing order.\nAnswer: 3, 2, -0.2, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(54)\/sqrt(144) + sqrt(6) + sqrt(6) + (sqrt(36)*1)\/sqrt(6))\/(sqrt(96)\/sqrt(3) + (sqrt(8)\/sqrt(4)*-2 - sqrt(2)))*4)**2.\nAnswer: 12675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 131*z**2 + 309 - 309. Let c(d) = -4*d. Give c(p(a)).\nAnswer: -524*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 914484.\nAnswer: 2, 3, 76207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q - 85 = 145 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7\/26 + 3\/26. Let a = 1.27 + -0.27. What is the third smallest value in a, 2\/11, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 2*g**2 - 2*g + 143. Let v(d) = d**3 + d**2 - d + 2. Determine b(w) - 2*v(w).\nAnswer: -w**3 + 139","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5492 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/25*((-7)\/(7\/25))\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22\/17 in -0.3, 1\/2, 2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/155 - -116\/11005. Let q(r) = -113*r + 7798. Let t be q(69). Is i > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 - h**3 + 2*h**3)*(-19*h + h + 8*h) + (-3*h**2 + 2*h**2 + 2*h**2)*(4*h - 4*h + 2*h**2).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 6*w + 2*w)*(-1 + 0 + w + w) + 50*w**2 + 93*w**2 + 65*w**2.\nAnswer: 232*w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -32*i - 58. Does 18 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j. Let d(y) = -56*y**2 - 39*y**2 + 91*y**2 - 24*y**2. Give d(c(k)).\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 4 - 2*v**3 - 156 - 5*v**3.\nAnswer: -7*v**3 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*t + (-19 - 53 - 80)*(12*t + 116 - 116).\nAnswer: -1822*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -215?\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2))\/(-16 + 3883\/242)*-334. Is -7349 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 19*c + 6. Determine l(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-5*q**2 + 5*q**2 + 3*q**3) + q**3 + 1 - 1.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 220635 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {b: 1, n: 3, i: 4, z: 12}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 275 = 0. Suppose y - 3 = -1. Suppose -5*x + 61 = y*s, 5*x - 67 = -s - 3*s. Calculate the greatest common divisor of c and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -11) + -7 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, 50, -3, 0, 1352, -0.043?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14700 and 532140.\nAnswer: 2660700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 845058002.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 1943\/7?\nAnswer: 1943\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -18. Is v\/(-16)*(-148)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 0.12. Let l = 3.92 + n. Let f = -6 + l. Which is the nearest to f? (a) 5 (b) -3\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*f - 2*f + 16, 4*d - 2*f = 16. Suppose x - 50 = -5*r, 7*x = 5*x - d*r + 88. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 42. Which is the second smallest value? (a) -1\/4 (b) k (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.553 + -24507346129.\nAnswer: -24507346126.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280655 is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4289 by 1.\nAnswer: -4289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -573*j + 34643. Give l(59).\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1 - (-23)\/(-7). Let j = 108\/91 - 8\/13. Let x = 0.017478 + 0.082522. Which is the nearest to v? (a) x (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.05145 millimeters to centimeters.\nAnswer: 6.005145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*2557708.\nAnswer: 76731.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiititiiit. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 102573402*w - 5260651398926802.\nAnswer: -(w - 102573402)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-30) - (-122)\/3111*17. Factor 0 + v*h**4 + 0*h + 12\/5*h**3 - 36\/5*h**2.\nAnswer: 4*h**2*(h + 3)*(2*h - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.163 - 92311.\nAnswer: -92312.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 11*v + 1104. Let n = v + 81. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -602999, -603001, -603005, -603011, -603019?\nAnswer: -603029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m*m*(m*m*m**(-3))\/m*m)**21 assuming m is positive.\nAnswer: m**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22128663*o - 11064329*o - 11064332*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**5 + 16*d**4 + 46*d**3 - 48*d**2 - 40*d + 32 = 0. Calculate d.\nAnswer: -2, -1, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 22, 36, 56?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -908 and -3.\nAnswer: 2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + w + 2*w. Let u(c) = -63*c + 27. Let n(z) = -2 + 4*z + 3*z + 8 - 14*z - 9*z. Let d(g) = 9*n(g) - 2*u(g). Calculate d(x(r)).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238 or -234?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15246611 (base 7) in base 16?\nAnswer: 163cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-18)*t\/t**(5\/4))**(-10\/19) assuming t is positive.\nAnswer: t**(325\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/6 - 7*g**3\/6 - g**2. Let a be i(7). Suppose 4*y = a + 11. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f**2 - f - 1. Let n be c(1). Suppose -2*q + 4 = -n. Factor q*s + 54*s**2 + 4*s - 51*s**2.\nAnswer: 3*s*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 65 - 3*u - 135.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 18 = -2*x - 5*j, -25 = -7*x - j. What is the third smallest value in 1\/4, 5, x, -13, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 8*l**2 - 11*l - 9. Let a = 45 - 45. Suppose 3*c + a = -21. Calculate the remainder when 37 is divided by g(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94.82 - -179.31. Round b to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 t when four letters picked without replacement from {t: 1, f: 1, e: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q + 8\/51*q**3 + 0 - 3*q**2 - 1\/51*q**4 - 1\/51*q**5 - 1\/340*q**6. Factor g(t).\nAnswer: -2*(t + 2)**2*(3*t - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y + 13. Let n(v) = -v + 1. Let l(r) = -k(r) - n(r). Let u be l(-6). Suppose u*x - 5*o = x + 21, -4*o - 10 = x. Sort x, -2, -4 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 3 + 1 - 0. Let s(x) = 3*x + 16. Let b be s(p). Calculate the greatest common divisor of b and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**2 + 1300*n**3 + 2253*n**2 - 2231*n**2.\nAnswer: 1300*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2127, -8600, -19439, -34644, -54215, -78152, -106455?\n\"Answer: -2183*o**2 + 76*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1101, 1455, 1837, 2247?\nAnswer: 2685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, -7068, -26422, -64156, -126408, -219316?\nAnswer: -349018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:06 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*b + 3125, -323 - 1531 = -3*b - 4*p. Let b*n**3 - 2*n**4 - 2*n**5 + n**2 - 612*n**3 - 7*n**2 = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744222.\nAnswer: 2, 3, 71, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 4. Let a = -128 - -132. Calculate the remainder when t is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010000101011101 (base 2) to base 16.\nAnswer: -a15d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 1 = 0, 4*o + g - 1469 = 0. Suppose -5*h + 2*h = -3*d - 1128, 0 = h - 4*d - o. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-6))\/((-9)\/(-72)). Calculate the least common multiple of 22 and (-164)\/(r - (-18)\/6).\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44937322.\nAnswer: 2, 43, 53, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*a**4 - 541*a**3 - 588357?\nAnswer: -536*a**3 - 1623*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 + -2.46. Let t = 0.5 + g. Let i = -496 - -498. Which is the nearest to 0.1? (a) t (b) i (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 13*x = 3*g, -2*x + 16 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -92. Let u = z - -161. What is the lowest common multiple of 18 and (-2)\/(-14) + u\/21?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 322800 and 7600?\nAnswer: 6133200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-81)\/(-21) + -4)*(-28)\/(-20).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**2 + 1. Let l(y) = -y + 8. Let p be l(-7). Let j be (5\/p)\/(1\/3). Calculate x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640806360 to the nearest integer?\nAnswer: 40507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 164\/(-24) + 4 + 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 + 2623*j**2 + 12*j + 2222 wrt j?\nAnswer: 40*j**3 + 5246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62244042, 62244040, 62244038?\n\"Answer: -2*l + 62244044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q + 218. What is o(14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = q - t, 2*t + 1 + 5 = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**2 - 8*r**3 - 2*r + 8*r**2 + 0 + 2 - r**3 as t + q*r**2 + l*r**3 + z*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 401328.81 to the nearest one thousand.\nAnswer: 401000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*sqrt(275) + (5*(sqrt(11)*2 + sqrt(11) + sqrt(11))**2 - (sqrt(11)*-1 + -4)).\nAnswer: 6*sqrt(11) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - 13)\/(((-10)\/4)\/1). Suppose 7*h + 526 = 3*n + 5*h, -5*n + i*h = -878. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*m + 2, -m + 3*u = 5*u - 11. Let p = 7 - m. What is the third derivative of -2*l**2 - 4*l**5 + p*l**2 - l**4 + l**4 wrt l?\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -30212?\nAnswer: -30211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m + 5. Let s = 18 + -18. Let z be u(s). Solve 0*y - 25 = z*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (202\/707)\/((-1)\/(-7)). Solve -2*w + c = 3, r*c - c - 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -13.71.\nAnswer: -27.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/19)*w\/(w**8\/w))**(1\/5) assuming w is positive.\nAnswer: w**(-116\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 63*x**4\/10 + 8912*x**3\/5 - 37327*x**2\/10 + 1142*x\/5 + 114 = 0?\nAnswer: -285, -1\/7, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*f + 57, -2*f + 0*f + 157 = 5*a. What is the common denominator of 91\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - x = 13, -3*w + 4*x + 0 = -13. Let a = 8 - 6. Suppose -30 = -4*i + w*l, a = -l - 0. Solve -5*g - 14 - i = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -1 - (2 + 9 + -2)) + -9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4 + sqrt(1053) + 0 - sqrt(1053)*-2*-1) + -2)**2.\nAnswer: -36*sqrt(13) + 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 25472392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/31035924 and -29\/414.\nAnswer: 31035924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g - 5*g - 2*g + 3*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*30\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 31*r = 34*r + w + 1, 3*r - 5*w = -19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/3)\/(21\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15 + 14 + 1 + 2 + 0. Calculate the lowest common multiple of 6 and -16*t\/4*(-3)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1770 = -1244. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -43, -4, 3, -280 in ascending order.\nAnswer: -280, -43, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-0.168585008\nAnswer: -0.768585008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + -3*sqrt(175) + sqrt(175) + -2 + (sqrt(175)*-5)**2*5.\nAnswer: -5*sqrt(7) + 21873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176945 (base 10) to base 9.\nAnswer: -288645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 18*g**3 + 39*g**2 - 36*g + 12 = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -3\/8*x**4 - 12*x**2 + 2\/3*x**3 + 0*x - 2. Let b(p) = -18*p + 9. Determine 6*b(a) - 13*l(a).\nAnswer: 9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) 0.02 (c) 5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-856)\/3103*(-4)\/32?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = 67*t + 199 - 782 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r + 36*r + 884 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -f + 58, 2*l - 64 = -f + l. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 85?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-2\/21)*a)*a*a*a\/a**(5\/2)*a*(a\/a**(-2\/5))**19 assuming a is positive.\nAnswer: a**(5921\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -101433322 (base 5) to base 13\nAnswer: -119884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14181 * 3\nAnswer: -42543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -1 - 11. Suppose -q*w - w + 10 = 0. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 1 + (0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 285.2 - 284.9. Let t be -6 - (-4 + -3 + 0). Let p = 2 - -1. What is the smallest value in p, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (17 - -15) - (-15 + 47).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550)\/12 + 6\/54*6\/(-4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.03, 0.5, -0.2 in descending order.\nAnswer: 2.03, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -104, 0.4 in decreasing order.\nAnswer: 0.4, -13, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.1 + -31. Let w = 1 + -1.3. Which is the nearest to w? (a) 3 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - 31. What is the greatest common factor of f and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.409*0.5.\nAnswer: 0.7045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315376 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from zgsynszuu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 11*v**3 - 33*v**2 - 15*v + 6. Let b(s) = -21*s**3 + 67*s**2 + 29*s - 14. Let o(f) = -3*b(f) - 7*l(f). What is the second derivative of o(j) wrt j?\nAnswer: -84*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2661*n**2 - 17*n - 59. Is r(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 1387383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 344*u + 398*u - 3.\nAnswer: 54*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19900 + -19846. Is o <= 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/3 - 1\/21. Which is the second smallest value? (a) t (b) -1 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 5*v + 29, -5 = -v. Suppose 3*r = 4*r - j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:02 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-225)*(-20)\/8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2) + -3 + (3 - 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 9*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314.57 - 970.41. Let l = -1292.9793 - x. Let g = l - -8. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*j + 4 = 0, -3*u - 247*j + 251*j = 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9177*h = -9175*h + 8, -n = 3*h + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23072, 26465, 32120, 40037?\nAnswer: 50216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235291 and 11983?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - 42 - -15) + -8.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3526486*s. Let o(k) = -k**2. What is o(l(i))?\nAnswer: -12436103508196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 6*v - 27. Suppose -5*b = y - 17, 2*y = v*b - 18 - 13. Is y bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*r + 16765*g*r**2 + 22774*r**2 wrt g.\nAnswer: -2*g*r + 16765*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/322*(-21)\/12*-4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -20*y. Let m be a(1). Let z be ((-3030)\/m)\/(1\/(-2)). Let o = z + 917\/3. Which is smaller: o or 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**7\/840 + l**6\/360 - l**5\/30 - l**4\/6 + 32*l**3\/3 - 4*l + 1. Let p(y) be the second derivative of c(y). Determine p(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w\/(w\/(w\/(w\/(w\/(w*(w\/(w\/(w*w**(-2))))\/w)))*w))*w))\/w*w))**(-1\/20)\/((w\/w**(-17\/4))\/(((w*w**23\/w)\/w)\/w*w*w)))**(1\/18) assuming w is positive.\nAnswer: w**(39\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkwk when four letters picked without replacement from {k: 4, w: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -179485 divided by -35897\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (13 - 1 - (6 - 0)) + -22\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 6781.\nAnswer: -100\/6781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -1638, -3782, -6700, -10344, -14666, -19618, -25152?\nAnswer: -31220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 21\/4*j**4 - 13 + 5*j**2 + 0*j**3. What is the second derivative of r(b) wrt b?\nAnswer: 126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 5 = -9*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/3 + 1000446*s**2 = 0. What is s?\nAnswer: 0, 3001338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/7 + 3495*i\/7 + 781632\/7.\nAnswer: -3*(i - 1357)*(i + 192)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/253, 43, 2?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -10 - (28 + -41) - 56 - -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 17*j**3 - 219*j**2 + 194*j - 164. Calculate q(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40041408 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925796061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52782 and 108.\nAnswer: 950076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + 37. Let y = 197 - x. Suppose -4*d + 145 = -y. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069217 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (10 - -3 - 64 - (4 + -1)) + 9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2\/9, 0.5, 3, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = -2*b + 101, -b + 2*m = -52. Let c(n) = 15*n - 245. Calculate the remainder when b is divided by c(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - (-254)\/7. Suppose -x = 3*d - t - 73, 5*x - 469 = 4*d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7719092657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765 is divided by 752.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*w + 604, 4*w = y + 393 + 238. Let f = y - -687. Let j = 34 + -16. Calculate the remainder when f is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o**2 + 2*o + 94. Is d(-7) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300287 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 + -1.99. Let r = 154 + -218. Let c = r - -63.7. Put k, 4, c in increasing order.\nAnswer: k, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2477*g**3*u**3 - 14*g**3*u*x**2 - 8626660*g**3*x**3 + 8*g*u**3*x**4 - 144*g*x - u**3*x wrt x?\nAnswer: -51759960*g**3 + 192*g*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 7*q + 3. Let l be k(-7). Suppose -y = -a + l + 4, 4*y = -4. Suppose -b + a*b - 30 = 0. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 9*d - 5. Let i be o(-9). Let k(t) = -t + 2*t**3 - t**3 - 4*t**2 + 2*t**3. Let f(s) = s**3 - s**2. Give i*f(g) + k(g).\nAnswer: -2*g**3 + g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - -119*12\/(-16). Let l = -55 - a. Is l a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110040992339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1515, 1512, 1507, 1500, 1491, 1480?\n\"Answer: -h**2 + 1516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*s - 38, -s = 3*j + 9 - 31. Let k = 11 - j. Solve k + 8 = p + 2*y, -2*y = -3*p + 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, y: 1, c: 1, m: 1, s: 1}. What is prob of sequence ps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 25*a**3 + 3*a**2 + 155*a + 55. Let c(f) = 16*f**3 + 2*f**2 + 103*f + 35. Give 8*c(b) - 5*x(b).\nAnswer: 3*b**3 + b**2 + 49*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 41*r**3 - 13*r**2 + 2*r + 2. Let q(k) = 20*k**3 - 6*k**2 + k + 1. Let v(h) = -6*m(h) + 13*q(h). Determine v(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p - 5. Let w be z(4). Let l be 222\/w + (-1)\/(-5). What is the highest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (32 - 17 - 4) + -27?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34752694 a multiple of 1260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-4) + 17\/(-2). Let g(y) be the third derivative of -y**5\/60 - 3*y**4\/8 + 2*y**3 - 15*y**2. Let m be g(d). Solve m = -l - 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/(i**(19\/5)\/i))*i*i\/(i*i**(-21)) assuming i is positive.\nAnswer: i**(119\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -785 + -616?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**12)**(2\/13)\/(k**24*k\/k**5*k) assuming k is positive.\nAnswer: k**(-249\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10101 to three dps.\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 10 + 6)*(0*y + y - 2*y + (1 + 9 - 1)*(-6*y + 2*y + 2*y)).\nAnswer: 285*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 158457 and -19.573.\nAnswer: 158437.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 152 = -16*t - 9*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -31*z - 55. Let d(u) = -39*u**2 - 11. Let b(c) = 20*c**2 + 5. Let j(a) = z*b(a) + 6*d(a). Differentiate j(x) with respect to x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3539*h**3 - 3*h**2 + 14*h - 11. What is the tens digit of a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2623146, 5246281, 7869416?\nAnswer: 10492551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 786612902 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -912.717 and 11?\nAnswer: 923.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14232 + -2?\nAnswer: 14230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/3 in -2\/19, 0, -3, -1\/35, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188292 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -28. Suppose u*n - 29*n = 0. Put n, -2, -3 in ascending order.\nAnswer: -3, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.26155 days to hours.\nAnswer: 174.2772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 109*v = -17*v - 650210. Is v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/24 - 7*m**3\/6 + 3*m**2 + 3. Let n(r) be the second derivative of k(r). Differentiate n(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.4072.\nAnswer: -0.8144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 22*h**2 + 2*h - 6. Let w be f(11). Find the second derivative of -71*a**3 - 5*a + 0*a + w*a**3 - 9 - 2*a**2 + 7*a wrt a.\nAnswer: -330*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2757.942 decades?\nAnswer: 275.7942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 75 = -w. Let k(b) be the third derivative of w*b**2 + 0*b - 1\/330*b**5 - 2\/33*b**3 + 0 + 1\/44*b**4. Factor k(i).\nAnswer: -2*(i - 2)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 59. Give f(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/368 and ((3 - (9 - 9))\/6)\/(22\/49).\nAnswer: 4048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*((n*n*n\/(n**(-8)*n))\/n*n)\/n*n\/n**5)\/(n\/(n**(1\/4)*n*n))**(3\/11) assuming n is positive.\nAnswer: n**(279\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 + z + 2. Let p(n) = n**2 + 1. Give 3*p(g) - u(g).\nAnswer: -3*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48953 by 3722.\nAnswer: 48953\/3722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 2. Let w be t(5). Let g(d) = 2*d**2 - 6*d + 4. Let i be g(w). Solve 2*c - 3*k + 0 = -2, i*k = 3*c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*-2)\/sqrt(12))\/(sqrt(6) + (sqrt(6) - sqrt(36)\/sqrt(24))) - (3 + sqrt(300) + sqrt(3) + -1 + -5))**2.\nAnswer: -74*sqrt(3) + 1396\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:12 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 272414 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 7, -10, -44, 4.\nAnswer: -44, -10, 4, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.799 * -26.724\nAnswer: 21.352476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.72 - -0.7200063. Round w to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104223 and 268002.\nAnswer: 1876014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5*y - 1. Suppose -l - 15 = -2*m, 4*m + l - 8 - 13 = 0. Let r be t(m). Suppose 4*j - r*j + 3 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 14 = -9*i + 4*i, -g + 5*i + 19 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 - 9*n - 10 - 6*n - 4 as y + p*n and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*n = -2*n - 4, -4*k - 2*n = -2. Differentiate -133*v**4 + 5 + 121 - k with respect to v.\nAnswer: -532*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1718 + 0?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 379*h + 2642. Determine i(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 + 11?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12*p + 555 = 7*p, 5*v + p - 701 = 0. Solve -142*o = -v*o + 12 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0\/z)\/z)**46*z\/(z**(-11)\/z*z)*z*z*z**0)**(-4\/9) assuming z is positive.\nAnswer: z**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24971\/14 - -12622\/7. Calculate the common denominator of ((-7)\/(-6))\/((-2)\/54) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 3*v + 9. Let k(h) = v*h**2 - 171*h**2 + 48*h**2. Let l(d) = -6*d. Determine k(l(a)).\nAnswer: -1368*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Is (-11068)\/(-28) + (-2)\/j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16 and 3\/6 - 158\/(-48).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 - 2*q**5 + 4*q**2 + (1 + 2 - 4)*(-86*q**5 + 60*q**5 - 121*q**5).\nAnswer: 145*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 63*n**2 - 157*n - 316. What is g(-61)?\nAnswer: 1819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61280809.\nAnswer: 23, 47, 83, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -112346?\nAnswer: -1\/112346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/5))\/b*b**1\/b*b*b**3*b**2 assuming b is positive.\nAnswer: b**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/2 + z**2\/2 - z + 1. Let v(u) = -57*u - 1424. Let k be v(-25). Let s(q) = -6*q + 5*q + 2 - 1. Calculate k*n(h) + s(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863503 is divided by 53.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1980200 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 120023201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexsixeizx. Give prob of sequence esz.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 10929.\nAnswer: 87432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 356\/18 - 14\/(-63).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 10.9, 0.6, 5, -2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, -0.3, -33.1.\nAnswer: -33.1, -0.3, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3194*q + 60. Let g be n(5). Let i = -286499\/18 - g. Find the common denominator of 61\/24 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 4 + 4 + v**3 - 2*v**2. Let r be j(2). Suppose 9*s - r*s = 70. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11047 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.28 and -489391?\nAnswer: 489399.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -1 - (6 + 105). Let b = 193 + r. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/30 and 11\/3076.\nAnswer: 46140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 1486?\nAnswer: 7\/743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from llcfclccflftlclcctcl.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let x = 40\/21 - 263\/105. Which is the third biggest value? (a) x (b) g (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 367400949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -265 divided by 22\nAnswer: -265\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1\/9 (c) -3230269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-28) + (576\/21)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + h = -3*c + 1260, -4*c + 979 = -5*h. Suppose c = 4*o - 729. Suppose -o = -2*x - 23. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -52 (c) 3 (d) 0.05 (e) -1\/34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 at most -67988\/155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2942*r - 8. Let h be b(1). Suppose -2*q + 4403 = 3*o - 0*o, -q + h = 2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**2 + 3\/5*v**5 + 1\/4*v**4 - v**3 + 0*v + 1\/6*v**6 - 40. Factor j(w).\nAnswer: w*(w - 1)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*i - 30*i - 20 + 20 + 22.\nAnswer: -99*i + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 2*g**5 - 19*g**4\/24 - g**3\/2 + 28*g**2. What is the second derivative of x(d) wrt d?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 13*o - 33. Determine l(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/3*(122\/183)\/((-12)\/(-81)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}