diff --git "a/data/dm_maths/full_data_1/11015_11255.jsonl" "b/data/dm_maths/full_data_1/11015_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11015_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s be 7\/((-21)\/(-45))*8. Let b be -1 - 11\/((-55)\/s). Suppose -2*y + 4*q = -28, 4*y + 3*q + 0*q = b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -67712, -67711, -67710?\n\"Answer: y - 67713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 - 56*r - 7. Let i be l(-11). Let n(c) = 156*c + 6. Is n(i) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 860703220 to the nearest integer?\nAnswer: 29338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -12. Let k be (-2)\/2*(2 - 4). Factor -15*y**4 + z*y**4 - 2*y**k + 4*y - 4*y**3 + 12*y**2.\nAnswer: -2*y*(y - 1)*(y + 1)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -221 - -242. Differentiate -120 - 2*n**2 + 43*n - 21*n - v*n - 36*n wrt n.\nAnswer: -4*n - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 divided by 322\nAnswer: -96\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65033 = -26*q - 1255. Is 32 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**4 + x**3 - 2*x**2 + 2. Let n(s) = -7*s**4 - 3*s**3 + 5*s**2 - 5. Let q(t) = -2*n(t) - 5*w(t). Determine l so that q(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 1.1. Let t = 657 - 656.52. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from hhhbvmmmmbhvhmv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 26*n - 10. Determine f(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/30303 and 16\/11?\nAnswer: 333333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -36.34 * -1\nAnswer: 36.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 12744.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 94 and 8339586?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -n + 3*n - 30 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1008, 7487, 25054, 59247, 115604, 199663?\n\"Answer: 923*k**3 + 6*k**2 + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1547 and 3094091?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.2137cm in meters?\nAnswer: 3.862137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:25 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3673 or -146669?\nAnswer: -146669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1782687*r**3 + 1892*r - 522.\nAnswer: 10696122*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*6 + (sqrt(1573) - ((-1 + sqrt(1573) - sqrt(1573)) + sqrt(1573))) + 1*(0 + sqrt(1300) - sqrt(52)))**2.\nAnswer: 28*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6 - 2*y**2 + 198*y**3 - 191*y**3 as b*y**3 + r + x*y**2 + f*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*v**3 - 8882*a - 62*v**3 + v**2 + 36 wrt a?\nAnswer: -2*v**3 - 8882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5 + 13*m**4 + 9038*m**3*r + 866*m**2*r - m**2 + 21*m*r - 2*m + 3*r wrt m?\nAnswer: -60*m**2 + 312*m + 54228*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 7, u: 4}. Give prob of sequence ud.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-1599)\/2255) + 17?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 3*y**7\/280 - 67*y**6\/10 + 1069*y**5\/60 - 89*y**4\/6 - y**2 + 13*y + 61. What is b in u(b) = 0?\nAnswer: 0, 2\/3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*s**2 - 376*s**2 - 145*s**2 + 554*s**2.\nAnswer: -326*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*l + 148 - 138 - 70. Is -45\/38 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1506 + -324. Let w(f) = -g - f + 1181 + 8*f. Determine w(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.65 - -11133?\nAnswer: 11319.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 14) in base 4?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*q - 92, 3*q + 4*m = 7 + 27. Suppose -5*d = -4*k, -2*k = d - 32 + q. Solve -d = -2*p + i, -4*p - p - i = -17 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 + 5.7. Let u = -1.5 + i. What is u rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-12)\/10*10980\/(-244)*(-12)\/(-81).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2087*k = -43350 - 18178 + 9353 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -224132, -448264, -672396, -896528, -1120660, -1344792?\n\"Answer: -224132*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 48422506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:14 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*d + 864, -d + 209 = -6*g + 5*g. Let r = -67 - g. Find the second derivative of 64*t**3 + 66*t**3 - 25*t - r*t**3 wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 2*t**2 + t + 4. Let d be i(-2). Suppose 5*p - 3139 = -d*j, p - 1568 = 11*j - 12*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -12. Let m = -7276\/3 + 2389. Let x = m + 46. Is x >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.6597 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6110341.\nAnswer: 23, 149, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12144\/128)\/(9\/2). Let z = 85\/4 - u. Calculate the common denominator of ((-4)\/12)\/(3\/37) and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q**2. Let s(x) be the third derivative of -x**4\/8 - 6*x**2 + 13*x. Determine t(s(z)).\nAnswer: 189*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**25*n*n**4\/n*n**(-2\/13))**(-43) assuming n is positive.\nAnswer: n**(21500\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0.4, -10, 1881.\nAnswer: -10, -3, -1, 0.4, 1881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -5) + -13*(-3)\/18. Put -3, 2\/37, 1\/4, l in descending order.\nAnswer: 1\/4, l, 2\/37, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6068265 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.7 - -4. Let x = 0 - -0.1. Let r = -1144 - -1144.1. What is the closest to x in 3, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 2.7 in descending order.\nAnswer: 2.7, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 132\/1 - ((-198)\/(-132))\/((-1)\/2). Calculate the highest common divisor of 1593 and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlumuuesuulms. What is prob of sequence enlu?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4589 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 415352.6 from 26887.\nAnswer: -388465.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*u + 930160 = -54*u. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989289269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, m: 1, e: 5}. What is prob of picking 1 m and 2 e?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -256.677 to zero decimal places.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l + 4. Calculate the remainder when f(-3) is divided by (-10)\/(-15)*(-18)\/4 - -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1539.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -x + 110, 0 = -3*a - 5*x + x - 165. Let g = a + 64. What is the remainder when g is divided by (2\/(-5))\/(1\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in -1\/2, 0.4, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1357.71 + -1357.7. Which is smaller: 537 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3067995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:21 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 7*u + 3. Suppose -4*p = k + 33, 7 = -3*p - 5*k - 39. Let l be a(p). Calculate the lowest common multiple of 4 and l + -1 + -2 - -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346650332.\nAnswer: 2, 3, 643, 174527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*s - 43. Let r(p) = p - 5. Let n be r(s). Suppose -k - n = 0, 2*q - 6*q - 5*k = -145. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127 and -3838?\nAnswer: -487426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2674, -2672, -2662, -2638, -2594, -2524?\nAnswer: -2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7168*r**4 + 59*r - 15 wrt r?\nAnswer: 86016*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87 and 7917?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - 4*m**2 + 2*m**2)*(-136*m + 326*m + 25 - 221*m).\nAnswer: 93*m**3 - 75*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 7\/3, 3\/5, 1\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5288799?\nAnswer: 3, 1762933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/11*-11)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 50ba (base 13) to base 12\nAnswer: 6542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 38, 99, 216, 407?\n\"Answer: 3*n**3 + n**2 - n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62015 divided by 12403.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 3*j**4\/16 - 99*j**3\/4 + 7497*j**2\/8 - 7203*j\/4 + 243. Solve i(b) = 0 for b.\nAnswer: 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Suppose -u*w + w = -8. Find the third derivative of -2*r**4 - 25*r**2 + 22*r**2 - 4*r**w wrt r.\nAnswer: -144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2. Let s(a) = 2*a**3 - 5*a**2. Let h be 1*-2 + -1 + -2. Let t be (4 - 2)\/(3 - 1). Calculate h*l(x) + t*s(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47707, 47716, 47731, 47752, 47779, 47812?\nAnswer: 47851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 3. Let j be t(-2). Suppose 2*g + j = q - 11, -3*q - 4 = 2*g. Let v be (-1)\/(-2)*3*2. Solve -2*m + 3*m - 7 = q*x, v*x + 3*m + 24 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 90*b + 385.\nAnswer: 5*(b + 7)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1624 = 111*v - 227*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -24. Let i = 1127\/9 - 125. Sort i, d, -1 in ascending order.\nAnswer: d, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Let z be (6 + -2)\/(n - 0). Solve 0*y - 5*y - 17 = -2*t, -t = -z*y - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 90 - 10. Let l be (4\/35)\/(8\/r). What is the nearest to -1\/4 in 2, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, 1, 2, -37 in decreasing order.\nAnswer: 3, 2, 1, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1900, -1903, -1858, -1741, -1528, -1195?\n\"Answer: 4*j**3 - 31*j - 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 164 + 283 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 3*r**3 - 2*r**3)*(-65*r - 93*r + 3 - 82*r).\nAnswer: 480*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25993138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655940 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*-149639\nAnswer: 448917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1613*f**3 - 3*f**2 - 1908*f**3 + 997*f**3.\nAnswer: -2524*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3645 + 32803\/9. Put 0.8, t, -0.4, -0.5, 5 in decreasing order.\nAnswer: 5, 0.8, t, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d + 623 = 2*x, 1529 = 5*x + 2*d. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 7. Let a be r(7). Suppose a = v - 4*o - 8 - 8, 0 = -v - 3*o - 12. Suppose -63*x = -52*x - 88. Which is bigger: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 7*g**2 - 7*g - 5. Let s be x(-6). Let l = -0.46 - -0.76. Sort 3\/4, s, l in decreasing order.\nAnswer: s, 3\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*t + 15, -2*p + 90*t = 89*t - 12. Suppose 0 = -d + 6*d - 25. Calculate the greatest common divisor of p and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 2422?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4, 1, 22\/1941, -3, -2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4594 divide 408608736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104069587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.948445ml in litres?\nAnswer: 0.001948445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-10)*(-1235)\/285?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 59 = c, 5*c + 13 = -12. Let k = 42 + -65. Let x = k + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 5*m + 16. Let h = 56 - 63. What is the tens digit of f(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -403024 - -5235635\/13. Let t = -283 - d. Let x = 0.1 + -0.1. Which is the smallest value? (a) t (b) x (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/(-4) + (-84)\/8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 28 = -x. Let m = -77 - -97. What is the third derivative of m*s**2 + 128*s + x*s**3 - 128*s wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 41371 = -w, -180772 - 26128 = -5*w - q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = -2*k + 17*z - 28, 0 = -5*k - 2*z - 37 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -105, -159, -213?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 8*k + 2. Let v be g(8). Suppose 3*o - 10 = v*q - 0*o, 5*q - 5*o + 35 = 0. Let w = 7 - q. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.42, 0, -0.1, 5, -0.4 in descending order.\nAnswer: 5, 0.42, 0, -0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -105 + -9879?\nAnswer: -997e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 201\/386 - ((-13)\/2 - -7). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/56 and 15\/5416?\nAnswer: 37912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 4*n + 2, -2*n + 6*n - 8 = -4*v. Suppose -v*l - 12 + 442 = 0. Is l + 2\/(2\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0525841 rounded to four dps?\nAnswer: -0.0526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 36, -50, -2\/11, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006434814397 rounded to 7 dps?\nAnswer: 0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.5. What is the nearest to -2\/11 in -2, 5\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.85 - 154.15. Let w = -155.0000207 - h. Round w to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**5\/20 + k**4\/6 + 29*k**3\/6 - 9*k**2\/2 + 11*k + 2. Let b be y(-5). Solve 0 = -5*h + b - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 13*l**6\/120 - 3*l**4\/8 + 3*l**2. Let z(x) = 2*x - 3*x**3 + 55 - 55. What is -2*p(f) - 9*z(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31\/4 - 8. Let l = 46 + -44. Suppose -15 = -3*p - m - 4, -5*p = l*m - 17. Sort h, p, -3 in descending order.\nAnswer: p, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let b(j) = j**2 - 36*j. Let h(a) = 4*a. Let y(m) = 4*b(m) + 36*h(m). Calculate y(w(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1172973*z + 1172401*z - 22344 = -2324 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-831)\/6*-6)\/((-19)\/(-19))?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1032 (b) 1 (c) -16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1673*k + 3007 - 2300*k**2 - 1457 + 2212*k - 15*k**3 = 0. Calculate k.\nAnswer: -155, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8294 + -8297. What is the third biggest value in z, 1\/2, 0.4, 69\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*m = -205*m - p - 67, -p - 16 = -m. Solve m*i - 2 = -2*u + 16*i, -4*u - i = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 82222, 81833, 81432, 81013, 80570?\n\"Answer: -h**3 - 382*h + 82605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9198688 rounded to two dps?\nAnswer: 5.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/(12408\/20))\/(20\/96))\/(-3)?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 11. Determine m(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*o - 228 = -76*o. Let j = -54 + o. Is 10 - 13 - (-2 + (-1422)\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e (base 15) to base 9.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-23))**(2\/79))**(1\/7))**(-44))**(14\/9) assuming p is positive.\nAnswer: p**(-1408\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6853480.\nAnswer: 2, 5, 31, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/6)\/(-9))\/((-4)\/20).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105 and -18701944.\nAnswer: -18701839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/104 and -57\/130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4959, 4958, 4957?\n\"Answer: -y + 4960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 8582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2412 - 73*h**2 - 2412)*(h**2 - 3*h**2 + h**2) - 4*h**4 + 4*h**4 + 2*h**4.\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -16.68. Let z = 152 - 148.68. Let b = z - j. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 255110*g**2*z**3 + 4*g**2 - 6*g*z + 29*g + 53 wrt z.\nAnswer: 1530660*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:13 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 + 188*y + 585. What is w(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71125 or -71106?\nAnswer: -71106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(0 + 0 + q) - q - 5*q + 4*q - 4*q + q + q + (0 - 1 + 2)*(q - q - q) in the form l*q + z and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, k: 1}. What is prob of sequence kb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 39. Let n(c) = 14*c - 10184. Determine 12*f(k) - n(k).\nAnswer: -2*k + 10652","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + ((-24)\/(-48))\/(1\/(-12))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((6*sqrt(72))\/(sqrt(9) - ((5*sqrt(144) - sqrt(9)) + sqrt(9))))**2.\nAnswer: -434\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-7 + -1 + 3). Let x = 5 + p. Solve 3*h + x - 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 11*v**2 + 9*v - 4. Suppose -d - 5*d = 30. Let k be (-1 - 1)\/(((-10)\/4)\/d). Is 18 a factor of r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, g: 2}. What is prob of picking 2 k?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 4*g = -60, 2*l + 12 = 4*g + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -6*x - 4. Suppose u = -2*p + 3, -3*u - x = p - 0*u. Suppose -p = -3*j + 2*o + 34, 6 = -2*o. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-42)*-3*48\/24?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkwk when four letters picked without replacement from {k: 5, x: 3, w: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 14*u**2 - 13*u + 3. Let o be h(13). Sort o, 5, 0.5, 0.04 in decreasing order.\nAnswer: 5, o, 0.5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419958382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 281620?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2774*o**2 + 5*o. Let v(n) = 1389*n**2 - 2*n. Give 14*v(h) + 6*y(h).\nAnswer: 2802*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t + 27. Let n be h(6). Is ((-39108)\/48)\/(2 - n\/(-12)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 62, 142, 254?\n\"Answer: 16*f**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18*12\/(-144)*(-2)\/18. Let t(f) = 1 + 6*f**2 - f + 3 + 0*f**2 - 5. Let q be t(1). What is the nearest to q in b, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12694135, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13923)\/(-156))\/51*1\/(1\/(-8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100\/531 + -2\/59. Let b = 20 - 22.2. Let v = 1.7 + b. What is the smallest value in v, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10827 divided by -181\nAnswer: -10827\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 235\/10*(-2 - -4). Let q be h\/(8\/2 - 5). Let d = q + 49. Solve -16 = d*f + 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 723 divided by 723?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 335*i**2 - 472*i + 51050. Give d(168).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/891)\/(3*12\/(-135))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -51, -88, -133, -186, -247, -316?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4, -5*y + v = -3*v - 147. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2766\/49, -17, 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*w - 3466966, 120*c - 1733487 = 118*c + 5*w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*t - 20. Let p be (6\/t)\/(6\/270). Suppose 77 - p = 5*y. What is the greatest common factor of 50 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287755 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*x - 1096, -53*x = -50*x + 15. Let s = q - 373. Let u = -3136 + 736958\/235. Which is bigger: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 2 + 2 + f**2 - 3*f + 2. Let r(i) = -i**2 - i - 1. Let l be r(0). Let w = -4 - l. Determine c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180281, -180269, -180255, -180233, -180197, -180141?\nAnswer: -180059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76886.\nAnswer: 2, 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1 - 24 - 36 = 3*y - 7*y, -5*y - 8*a = -353 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z**2 - 3*z + 3*z)*(-1 + 4 - 1)*(1 - 1 + 1).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.7 (c) -2 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/(47\/(-2632))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from {y: 9, a: 2, l: 2, b: 4, o: 2, t: 1}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50.6 + 51. Let j = -13.8 - 22.8. Let o = -37 - j. Sort q, -0.02, o in increasing order.\nAnswer: o, -0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2 - 1233806*k + 5346380.\nAnswer: 2*(k - 205630)*(3*k - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 - 6*m**2 - 6*m + 6. Let v(u) be the second derivative of -2*u**5\/5 + 7*u**4\/12 + 7*u**3\/6 - 7*u**2\/2 + 9*u. Determine 7*a(q) + 6*v(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 698541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, j: 5}. What is prob of picking 2 t and 2 j?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2531756820.\nAnswer: 2, 3, 5, 37, 1140431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in centuries?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 1972 = 3932 - 1992 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 + 34. Let j be 66\/d - (-1 - 0). Let a = 3\/64 + -51\/64. Sort a, 1, j in decreasing order.\nAnswer: 1, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from qqtqrrrq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53090913 or 53090909?\nAnswer: 53090913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 7:34 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 171*c - 47946. Calculate y(118).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 7:36 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*l**4 - 40*h*l**3 + 42*h*l - 5*l**3 - 63 wrt l.\nAnswer: 24*h*l**2 - 240*h*l - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3*(6\/(-4) + 0). What is the second derivative of 4*d + 5*d**3 - 6*d - 3*d + p*d**3 + 2 + 2*d**2 wrt d?\nAnswer: 54*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:30 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 14 = 3*f, -14*f = -18*f + 11*d + 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7 + 4 + 17*i - 6*i. Suppose -9*k + 4*k + 125 = 0. Calculate the remainder when t(7) is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.40095us in milliseconds?\nAnswer: 0.06840095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-4*l**3 - 9*l**3 + 235*l**4 + 13*l**3).\nAnswer: 470*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11047433, -44189769, -99427005, -176759147, -276186201?\nAnswer: -397708173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36895400?\nAnswer: 2, 5, 184477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(1\/(-12)). Let k(n) = -n + 4. Let r be k(j). Suppose d - 4*d + 15 = r. Solve 2*m + w + 6 = 0, -m - 4*w + d = 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4462802493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 0.06 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67798*q**3 + 66890*q**2.\nAnswer: 406788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from eeeeeeeeeeememeeeeem.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33.3, -8, 0.3, 123 in ascending order.\nAnswer: -8, 0.3, 33.3, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 + 25 + -20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12170*l**4 - 2*l - 14965?\nAnswer: -48680*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-102)\/(-6) - 11541\/(-6) - 2\/(-4) is divided by 640.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15384 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (2 - 498\/4)\/((-165)\/2970)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -51*n**3 - 73*n + 7. Let i(r) = 34*r**3 + 49*r - 5. Let q(u) = -7*i(u) - 5*t(u). Find the second derivative of q(f) wrt f.\nAnswer: 102*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 2*f - 5*f)*(-7 + 7 + 5*f) - 3*f**2 + 4*f**2 - 4*f - 3 + 3*f in the form j + q*f + h*f**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50490 and 191356.\nAnswer: 439162020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -18 - (-4 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/5)\/((9 + -6)\/(-15)). Suppose 0 = n*h - 5*h. Solve 3*o + 15 + h = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-14)\/(448\/(-48))). Which is the nearest to -2? (a) 12\/11 (b) 0 (c) v (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -44*n + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*q - 5*r - 281 + 175, 51 = -3*q - 3*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -815 and 429957.\nAnswer: -350414955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 3:37 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 143831, 140176, 136519, 132860, 129199, 125536, 121871?\n\"Answer: -u**2 - 3652*u + 147484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = -48. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3 - 3*q + 2 + 4*q. Let y be h(-4). Suppose 0 = -c - 5*n + 26, 5*c + 3*n + y - 65 = 0. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/(b*b**(-2\/7)))\/b)\/b*b)\/b)**(8\/3)\/((b**1*b)\/b)**(6\/25) assuming b is positive.\nAnswer: b**(-1126\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w**3 - 14*w**3 + 1 - 2*w + 0*w. Let i be x(0). Suppose i = -2*t + 5. Solve 0*p - t*p - 2 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**5 - 10696*a**4 + 999168*a**3 - 23758848*a**2 = 0.\nAnswer: 0, 48, 2578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/21)\/((x**(-8)\/x)\/x)*x\/(x\/(x**(-6\/7)*x)*x)*x**7)**37 assuming x is positive.\nAnswer: x**(12469\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Let i = 0.75 - -0.24. Let z = 0.01 + i. What is the smallest value in -3, f, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**3*s**2 + r**3*s - 188*r**3 + 971*r*s**2 - 1178*r*s - 28*s**2 wrt s?\nAnswer: -6*r**3 + 1942*r - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -648, -12\/85, -5\/9?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 10 = -5*u + 1, -5*u + 5 = 0. Let b = 3059\/650 + -2\/325. Find the common denominator of b and (-77)\/16 - g\/(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -212363416 + 212365301.18797. Let n = -1913.1879649 + l. Let u = -28 - n. Round u to 7 dps.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**2 + 71. Let y(z) = 5*z + 1. Give -7*c(d) - 3*y(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 137150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of r**7\/30 + 2*r**3\/3 + r**2 - r. Let s(x) be the first derivative of m(x). Differentiate s(d) with respect to d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.19266 to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19835227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39777 - 21076. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1027 + -240. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.92 rounded to one dp?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120211 (base 3) in base 13?\nAnswer: 26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26 - 9*a**3 + 19*a**3 + 5*a**2 - 5*a**2 wrt a?\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 8*g + 17. Let u be m(4). Let k(n) = -n**2 + 17*n + 38. What is the remainder when 111 is divided by k(u)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qome when four letters picked without replacement from {m: 2, o: 1, d: 1, u: 1, q: 1, e: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 divided by -1?\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204213535 (base 7) to base 16.\nAnswer: -b7ad89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 35516470?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**5\/20 + u**4\/3 - 2*u**3\/3 + 3*u**2\/2 + 981*u. Give x(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 82*h + 31. Does 12 divide z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5 + 75*s**4 + 3860*s**3\/3 - 9600*s**2 + 20480*s + 5628. Factor z(n).\nAnswer: 5*(n - 2)**2*(n + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -1a86?\nAnswer: 1a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -13010*j - 702534. What is s(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f + q, 131*q = 127*q - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + 4 + 1 - ((sqrt(133)\/(sqrt(175) - sqrt(7)))**2 + (sqrt(228) - sqrt(228)*1)\/sqrt(12)).\nAnswer: 61\/16 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - -1112?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/20 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blbbllllblllllllll. What is prob of picking 4 b?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 4 (c) 2\/11 (d) -0.166 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 77*f + 14. Let n(j) = -77*j - 10. What is -3*n(k) - 2*y(k)?\nAnswer: 77*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-735*l - 1358*l - 1043*l + 3*l - 5*l + 3*l + (4 - 3 + 1)*(4*l - 2*l + 0*l) - 4 + 4 + l + (6 - 2 - 2)*(2 + 2*l - 2)).\nAnswer: -6252*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -168778.77 - 4\nAnswer: -168782.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 3\/(9\/705) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**8\/6720 + p**7\/360 - p**6\/120 - p**5\/15 - p**4\/12 - 7*p**2. Let b(r) be the second derivative of y(r). What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**2 - 4*z + 2. Let b be a(-2). Let k be 4\/16 + b\/(-8). Suppose -k*o = -71833649 - 26266351. What is o rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22837 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z. Let r be y(6). Let w = r - -8. What is the derivative of -2 + w - 2 + 3 + 3*d wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227067814031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 0. Let a = 7 + f. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*s + 3595 + 7085 = 0 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 + 5*j. Suppose 3*s + s + 4*x = -4, 2*s - 5*x = -30. Let u(q) = 3*q**2 - 2*q. What is s*u(h) - 2*y(h)?\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - -61 - (-11 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2645 and 73299827?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3458 and 546?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/120 and 9\/(-12)*(24115\/936)\/35*-2.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05659167 rounded to 3 dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12809898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106378998*d**3 - 427949087 wrt d?\nAnswer: 319136994*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 598891 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -4\/11, -1.7, 3, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 152*k**4 + 48*k**3 - 268*k**4 + 115*k**4 + 3 to b + w*k**3 + i*k**4 + y*k + r*k**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, k: 10}. Give prob of picking 2 k and 2 w.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -284*h**3 + 1452*h**3 - 438*h**3 - 332*h**3.\nAnswer: 398*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let c be (-1)\/(13\/6 - (-1 - -3)). Calculate the remainder when (((-32)\/c)\/(-1))\/(16\/(-24)) is divided by q(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 84. Is a(0) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45560431, -45560430, -45560429, -45560428, -45560427, -45560426?\nAnswer: -45560425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-70)\/(-14) - (-1316 + 2). Suppose -o = 13*b - 305. Let q = b - -521. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**5\/120 - l**4\/6 - l**3\/3 + 3. Let v(i) be the third derivative of t(i). Calculate v(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 17 + 7*i + 4*i + 28.\nAnswer: 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayyyyayyayyyyya. Give prob of picking 1 a and 2 y.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -66. Solve a*r - 20 = 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56112 - 45622 = 1100*r - 9334 for r.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/30592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) -0.3 (b) -0.9 (c) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058) + (sqrt(2058) - -2*sqrt(2058)) + sqrt(126)\/sqrt(3)*5)\/(sqrt(162)\/(sqrt(3) - 2*sqrt(12))).\nAnswer: -33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 1:22 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2594239673 - 2594239589.00000345. Let k = -84 + t. Round k to seven decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 f when three letters picked without replacement from hfmfhmppfgwgwfwmpw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -110*l + 85 + 46*l - 8*l wrt l?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s + j = -33, 4*s + 5*j = -55. Let l be (-4)\/(-3)*(-165)\/s. Suppose -48 + 4 = -4*w. Calculate the highest common divisor of l and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.4, -5\/6, 4, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 2*g + 9. Calculate u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:54 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (161\/46)\/(1\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 770.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 5, -14, -49, -106, -191, -310?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = -5*p + 5*j, 0 = -3*j - 35 + 29. What is the first derivative of 6*v**3 - p*v - 2*v**3 - v**3 - 222 - 5*v**3 + 164*v wrt v?\nAnswer: -6*v**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -624 or -672?\nAnswer: -672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.018 - 0.018. Suppose 5*d + 1101 = 211. Let c = -1960\/11 - d. Put c, y, -3 in ascending order.\nAnswer: -3, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 38*t**2 + 4*t. Let m be p(-2). Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 205400767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 a factor of 10204615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 4*d - 43 - 17, 0 = -20*d + 18*d + 38*k + 30 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.079\nAnswer: -0.0237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 80324412?\nAnswer: 321297648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*r - 4, -5*r = 5*p - 9 + 49. Let v be p\/((-8)\/(-4)) - -2. Let z = -73 + 73.3. What is the second biggest value in -0.4, -1, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.8. Let v = -0.233 + -63.467. Let d = 65.7 + v. Which is the closest to 1\/3? (a) t (b) -0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3, -6, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.051 (c) 3\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = g. Suppose 12 = 5*d - 2*a, -g*a = a + 5. Let m(y) = -y**2 - 8*y - 7. Let h be m(-7). Is h greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209856830 rounded to the nearest 100000?\nAnswer: 209900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {v: 2, k: 3, m: 6, c: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - 203\/(-63). Suppose o = -5*z + 23. Suppose z*j = 5*f - 17, -2*f - 3*f = 2*j - 29. Solve -a - f = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3768 in -0.3, -14, -0.4, 3, 0.5?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52672 + -17765. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -3033?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/((-2)\/28*2). Suppose -4*o = 2*c + 42 + 8, -2*o + g = -3*c. Let v = 43 + c. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 239*l**2 - 396*l - 318*l**2 + 396*l.\nAnswer: -79*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 4*d + 3. Let n be p(-3). Suppose n = -4*l - 12, 0*q + 2*l = -q + 34. What is the highest common factor of 5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s**(-1\/10)*s))\/s))**(-30) assuming s is positive.\nAnswer: s**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 2.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -295757.\nAnswer: 4\/295757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -10. Let b(v) = -2*v - 8. Let n be b(m). Let l be -1 + 4 + 0\/n. Solve 5*t = 11 + 9, -l*t + 24 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2 (c) 0 (d) 0.5 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -10020?\nAnswer: -2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from mmmmgmgmmmgmmgmg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -1298547.5056034?\nAnswer: 1298547.1056034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 629666?\nAnswer: -1\/629666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395*s + 132380160 = 203*s. What is s rounded to the nearest ten thousand?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (170 - 162 - 2\/((-2)\/(-3))) + -5. Let z(a) be the third derivative of 0 - 6*a**2 - 3\/20*a**6 + k*a**4 - 1\/6*a**3 + 1\/30*a**5 + 0*a. What is z(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 2*y**3\/15 + 4*y**2 + 40*y - 36. Solve h(a) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 2. Let v be n(7). Solve v*i = 2*w + 13, w + 6 = 4*i - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = v - 29, 0 = 5*v + 3*c + 2*c - 185. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*k**3 + 130*k**3 - 27*k**3)*(2*k + 0*k + 0*k) - 2*k**3 + 8*k**4 + 0*k - 4*k**2 - 7*k**4 - 2*k to f*k**4 + z*k + x*k**3 + i + a*k**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*x**3 - 160*x**3 - 950*x**3.\nAnswer: -1988*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-2 - -12)) + 20 + -7 + 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 135 - 113 = 2*v, 3*a - 8*a + 2*v = 29 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.192.\nAnswer: -0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -12*j**5 + 398*j**4 - 58*j**3 - 262*j**2 - 66*j = 0.\nAnswer: -1\/2, -1\/3, 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9563\/9 - 1066. Find the common denominator of 37\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 257792 = -34*d + 439124. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6317128 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 7:09 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 10*32\/(-40)) + 39\/1\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**3\/7 + 540*g**2\/7 = 0.\nAnswer: 0, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, -201, -1181, -3093, -6249, -10961, -17541, -26301?\nAnswer: -37553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275763159?\nAnswer: 3, 7, 4377193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 137*z + 2450. Let m(k) = -3*k**2 - 273*k + 4900. Let l(j) = 6*m(j) - 14*n(j). Let l(f) = 0. Calculate f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeieefwseeseei. Give prob of picking 1 e, 1 w, and 2 i.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(1\/1)*95\/(12350\/(-455)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l - 15 = -18*l - 3*a, 19*l + 5 = a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**4 - j**3 + j. Let p(t) = 20*t**5 - 35*t**4 - 79*t**3 + 136*t**2 - 13*t - 32. Let y(m) = p(m) - 3*x(m). Suppose y(f) = 0. Calculate f.\nAnswer: -2, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + q**3 + 14*q**2 - q**4 - 14*q**2 in the form x*q**2 + r*q**3 + o*q**4 + z*q + i and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1887 - 1883. Sort 220, 3, 5, g in ascending order.\nAnswer: 3, g, 5, 220","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19552 - 19533. Let o be (-2)\/5 - 3\/5. What is the smallest common multiple of a and ((-1)\/o)\/(-1)*-3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 - 3*d**4 + 2*d**3 + 2*d**2 - 3*d + 1.\nAnswer: (d - 1)**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 46. Let j be m(26). Let c = j + 103. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986268 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 19, 84, 227, 478?\n\"Answer: 5*q**3 - 6*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + w = 2*w, 4 = a + w. What is the smallest common multiple of -2 + a + 48\/3 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (10 - (3 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686939.\nAnswer: 11, 197, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -655628734.22 + 1.\nAnswer: -655628733.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {j: 5, n: 2, a: 13}?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 53 + 7\/20*b**4 + 4\/5*b + 23\/15*b**3 + 2*b**2. Factor u(k).\nAnswer: (k + 1)*(k + 2)*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 191162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l. Let d(m) = 5*m. Let n(j) = 3*d(j) + 7*s(j). Let z(r) = -r + 10. Let h(q) = 2*n(q) - z(q). What is the units digit of h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 - 40*o - 37*o + 77*o - 3*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 127. Let h = n + -107. Let r(k) = -4*k**3 - 2*k. Let q(d) = -11*d**3 - d**2 - 5*d. Calculate h*q(c) + 8*r(c).\nAnswer: c**3 + 3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111 - -100000110100011?\nAnswer: 100000010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22633 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u**2 - 7*u - 4. Let j(i) = -6*i**2 + 3*i + 2. Determine 9*j(v) + 4*x(v).\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.93 * 4.\nAnswer: -7.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 77\/63 - 76\/(-18). Let b(f) be the second derivative of -3*f**2 + 9\/4*f**c + f - 7\/2*f**3 + 0. Suppose b(a) = 0. Calculate a.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1545649944793\/305109660 - 56\/5085161. Let h = u + -15214\/3. Find the common denominator of h and (-10)\/(56\/46 - 0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -7\/3*k**3 + 0*k**2 + 0*k - 8\/5*k**5 + 0*k**4 + 4. What is the third derivative of x(r) wrt r?\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and -48?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 45882202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-35)\/42)\/(2\/(-12)). Solve -h + 6*h - 5 = -c*o, o = 4*h + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2342 or -2339?\nAnswer: -2342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u + 120 = 0. Let o be -194*(-3)\/u*-4. Let g = o - -78. Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6.6 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -443, -446, -449?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 10. Let k(m) = -m**2 - 7*m - 2. Let i be k(-5). Let x be ((-2)\/i*6)\/n. Which is bigger: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -2.9. Let u = -4 + 4.2. What is the nearest to u in 4, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550293 by 177.\nAnswer: 3109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -15*p**3 + 33*p**2 + 2*p + 2. Let g(q) = 330*q**3 - 725*q**2 - 45*q - 45. Let z(c) = -45*d(c) - 2*g(c). What is the third derivative of z(w) wrt w?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56726477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:29 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 6) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(72)*-1 - sqrt(72))\/(1*sqrt(196) + sqrt(4) - (sqrt(100)*-1 + sqrt(100) + sqrt(100) + sqrt(100))))**2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -538874*b**2 + b + 5. Let m be u(5). Let f = -7771840 - m. What is f rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 3*v + 2. What is the tens digit of k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -149 (b) 2\/9 (c) 2 (d) 2\/17 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 1.4. Let f = -406 + 406. What is the nearest to f in m, 3, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122100110122011 (base 3) in base 6?\nAnswer: -525345051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -2*y + 144. Suppose -i + y = 4*b, -15 = -b - 2*i + 26. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 20773935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 544440833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1792202, 2.\nAnswer: -1792202, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559177.\nAnswer: 559177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) - (sqrt(5040) + 5*(sqrt(5040) - sqrt(5040)*-4))) + sqrt(5040))\/(((sqrt(336) + sqrt(336)*4 - sqrt(336)) + sqrt(21))\/sqrt(3)).\nAnswer: -288*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-13) + 2 - (-24)\/(-156)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/(-4))\/9*12)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 514*i**2 + 110*i**2 + 310*i**2 - 372*i**2.\nAnswer: 566*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1048 + 1522. Is 42 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose b*o = 4*o. Round o to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46, 96, 134, 154, 150, 116, 46?\n\"Answer: -n**3 + 57*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38254434 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6689630 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41498 - 41386 = -14*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 10:27 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 682d?\nAnswer: 6833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i + i**2 - 3*i + 2*i + 10. Let q be w(0). Solve -2*f - 3*f = q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8168 - -26649. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 16, d: 2}. What is prob of sequence jd?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 10 + 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2 - 2*u + 2. Let p(j) = -j**2 + 25*j + 55. Let o be p(27). What is f(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3381 to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*x + 32 = -3*k, 8 = -k - 2*x. Let h = k + 21. Let w = 4 - 3. Solve h = 4*z + w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26782963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.444 - 96?\nAnswer: -102.444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - z + 11. Let r(u) be the third derivative of 11\/24*u**4 + 0*u**3 + 0 - 1\/60*u**5 + 6*u**2 + 0*u. Let d be r(11). Give g(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = 46*m - 115*m. Solve 44 = -m*y + 40 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8638*r**2 + 72 - 72 + 7786*r**2 + 7789*r**2 - 24230*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(1 + -25). Let b = 56 - h. Let u be (2\/(-2))\/(2\/(-12)). What is the highest common divisor of b and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = s - 8*s. Calculate the remainder when 114 is divided by s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89247.9l in millilitres?\nAnswer: 89247900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -497565, -497574, -497597, -497640, -497709?\n\"Answer: -n**3 - n**2 + n - 497564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -512.0342 - -0.0342. Let b = p + 510.384. What is b rounded to 2 dps?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -117*u**2 - 9433599*u - 483774 = 0.\nAnswer: -80629, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6973220 and 1743305.\nAnswer: 6973220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3) + 5 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -9.005. What is p rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19352211*u**5 + 8444*u**2 + 1387 wrt u.\nAnswer: -1161132660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -59 - k**3 + 27 + 30 + k**2 as m + z*k**2 + f*k + j*k**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180)*-2 - 4*sqrt(180)*5)**2 - (-1 + (sqrt(5) + 1 + 5)*3 + -4).\nAnswer: -3*sqrt(5) + 141107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118651188 divided by -59325594.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6 + (1 + 2 - 5)*(1 + 1 + 1))*(11*t**2 - 11*t**2 + 4*t**5).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 2*m - 218 = -18*t, 5*t = -m + 347. Solve 19*o - t = 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3 + 12\/18. Suppose 3*f - 27 = -7*o + 4*o, 0 = y*o + f - 18. Calculate the smallest common multiple of o and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 459415, 459416, 459417?\n\"Answer: x + 459414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -592, -594, -596, -598, -600?\n\"Answer: -2*j - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {n: 6, q: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 33 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.085.\nAnswer: -0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:35 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddmmxqmmxmo. Give prob of picking 2 m, 1 d, and 1 x.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 223781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86 + 44. Let z = t - -77. Let l = z - 37. Is -0.1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1836961 is divided by 166992.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sllllso. Give prob of sequence lslo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103835.\nAnswer: 5, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5569*w = 1231*w - 101707 - 99415 - 240878 for w.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4*b**3 - 17*b**3 + 17*b**3.\nAnswer: -4*b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7540241, 7540243, 7540247, 7540253, 7540261?\n\"Answer: s**2 - s + 7540241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/24 + v**5\/15 + v**4\/8 + 4*v**3\/3 - 119*v**2. What is the lowest common multiple of w(-2) and 2?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 2. Let u be h(-1). Solve 5*z - 3*c - 20 = 2*c, 2*c = -u*z + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -2, -51, 19, -0.2, -0.9 in descending order.\nAnswer: 19, 1, -0.2, -0.9, -1, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -6\/4039.\nAnswer: -6\/4039, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -843*18\nAnswer: -15174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 321.4 + -321.938. Round p to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/3*41\/(2870\/(-84)). Let c(b) = -5*b - 10. What is c(g)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 31*q - 2123. Let y(h) = h**2. Calculate y(d(x)).\nAnswer: 961*x**2 - 131626*x + 4507129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -3 in ascending order.\nAnswer: -11, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113239546 divided by -56619773.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k. Let u(n) be the first derivative of 0*n - 1 + 7\/2*n**2 + 1\/24*n**4 + 0*n**3. Let f(v) be the second derivative of u(v). Give x(f(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100692\/(-117474) - (0 - (-992)\/(-14))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661 - 587 - 1902 = -105*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -28, -122 in ascending order.\nAnswer: -122, -28, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.03607 times -0.1\nAnswer: 0.003607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.9 minus 3?\nAnswer: 994.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -513, -515, -535, -579, -653, -763?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4 - 4 + 2*a**3 - 4*a - 10*a**2 + 25*a**2 - a**3. Let f be c(-15). Let i = f - 36. Solve 4*w + 4 = -5*y + i, -4 = 2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 13*j**2 + 63*j - 12. Give b(16).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20458*d**4 + 36471*d**2 + 2*d + 1?\nAnswer: 490992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + o = -1978, 971 = a + o - 6*o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 860815284 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5411480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29949173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/18)\/3)\/((-1)\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 1. Let m(h) = -h + 3*h + 0*h + 0*h + 3. Let i(p) = p - 1. Let u(t) = 2*i(t) + m(t). Give 3*s(q) + 4*u(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 601 - -165?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = -2*f, 5*f + 5*u = f - 28. Let d be ((-9)\/6)\/((-42)\/(-8)). Which is the smallest value? (a) d (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -761, -1805, -2849, -3893?\n\"Answer: -1044*p + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, 1 v, and 1 h when four letters picked without replacement from {t: 1, q: 1, u: 4, v: 1, h: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1624 and 99\/140.\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(16544\/(-33)))\/(153\/204)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1.2, 2\/9, -0.36, 2\/7 in decreasing order.\nAnswer: 2\/7, 2\/9, -0.36, -2\/5, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 + 42*g**2 - 121*g - 1690. What is p(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*z**4 + z**5 - 9*z**4 + (-58*z - 637 + 637)*(0*z**3 + 0*z**3 - 4*z**4 + (2*z**2 - 3*z**2 + 0*z**2)*(3*z**2 - z**2 - z**2) + 1 + 2*z**4 - 1).\nAnswer: 175*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, h: 1, x: 1, l: 2, t: 2}. What is prob of picking 1 m and 1 t?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-148)\/(-20))*-1 + 186\/(-155)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21200121102 (base 3) to base 8\nAnswer: 447462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*y**3 - y**2 - 664*y + 7008 with respect to y.\nAnswer: -9*y**2 - 2*y - 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 705743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7319953 to the nearest integer?\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/37 in -2\/7, -1, 7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342251068?\nAnswer: 2, 79, 1083073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + 2*m + 3. Suppose 21*o + 39 = 8*o. Determine l(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**4\/12 + 6*r**2. Let d(c) = -c**2. Give d(z(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {b: 7, a: 5, u: 4}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 84b05a61 - 6?\nAnswer: 84b05a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**2\/11 - 54*v\/11 - 20648\/11 = 0?\nAnswer: -89, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 28*z - 26*z)*(464*z**2 - 464*z**2 - 36*z**3).\nAnswer: -72*z**4 + 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731796842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2 - 23*a - 5 + 21*a - 3*a**2 + a**2 + a**3. Let v be x(-3). Is (-4389)\/(-12) - (v\/(-8))\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-74 - -40 - -39)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4378, 10026, 15670, 21310, 26946?\n\"Answer: -2*g**2 + 5654*g - 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*g + 3*g. Let c = 64 + g. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 13. Let i be (-24)\/18*(-30)\/p. Let k(f) = -f + 11. Let g be k(i). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:32 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 8*v = -10. Let o(t) = -t + v - 2. Let j(d) = -2*d. What is j(o(x))?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 563466\/173 < 3258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -4 - -34)*-1. Let s be (-24)\/b*2\/6. Factor 0*p + 1\/4*p**2 - s.\nAnswer: (p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428746 (base 13) in base 14?\nAnswer: 2c8cbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 84, 86?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2036 - 6109\/3. Which is the nearest to -28? (a) q (b) -2\/15 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = 2. Solve 4*t - 4*j = 0, -a*t + 5 = -5*t + 2*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9401 divided by -62\nAnswer: 9401\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 3680?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-21))\/((-580)\/(-6090))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 626.4742 millennia?\nAnswer: 62647.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -34669155, 5\/18?\nAnswer: -34669155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -18. Let n = -43336262.999969 - -43336243. Let p = n + s. What is p rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/7 - 816*f**4\/7 - 84012*f**3\/7 - 152584*f**2\/7 + 180786*f + 423864 = 0. Calculate f.\nAnswer: -203, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6984277 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:44 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-2))\/(3\/4). Let m = z - -16. Suppose -4*w + 15 = 3*j, 4*j + 3*w = 4*w + m. Solve j*i - 25 = 0, -40 = -2*t - 3*t - 4*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 45*q - 12. What is c(-4)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1355)\/(-4750) - (-6)\/(-57). Let r = 29\/50 - k. Solve 2\/5*g**4 + 2\/5*g + 0 - 2\/5*g**2 - r*g**3 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655814078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/6*7\/(-35). Let h = 19 - 5. Let x be (-185)\/525 - (-4)\/h. Put x, 2\/3, n, -4 in decreasing order.\nAnswer: 2\/3, n, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**3 + v**2 + 4*v + 5. Let m be d(-5). Let t be (-8)\/(-20) - 752274\/m. Let i = -1017 + t. Find the common denominator of 97\/14 and i.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10761, 10731, 10631, 10467, 10245, 9971, 9651, 9291?\nAnswer: 8897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 + 2*y - 1. Let s be r(1). Suppose 4*t = 19 + 141. Let q = s + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bks when three letters picked without replacement from kssiqllllkkbllilkqb.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2 = 13, -3*w - 5*t + 2175 = 0. Are 719 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 9:38 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*q + 8, 5*h - 5*q - 3 = 7. Suppose 3*b + 3*v = -9, 3*v = -5*b + h*b - 13. Solve 4*w = -b*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64913 is divided by 215.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 12. Suppose -3*d - 5*m + 273 = 0, -10*m = -5*d - 11*m + 477. Let p(v) = 94*v**2 - 191*v**2 + d*v**2. Determine p(c(q)).\nAnswer: -4*q**2 + 48*q - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -3913?\nAnswer: 117.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(3 + (-15)\/6). Let i = -6\/11 - -23\/22. Factor 1\/2*c**2 - 1\/2*c**3 + g*c - i*c**4 + 1\/2*c**5 + 0.\nAnswer: c**2*(c - 1)**2*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.1188 kilometers in nanometers?\nAnswer: 989118800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 397, 4220 in decreasing order.\nAnswer: 4220, 397, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (30\/(-27))\/10\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, k: 8, f: 2, w: 2, z: 3}. Give prob of picking 3 q.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2 + 206*r - 204 = 0. What is r?\nAnswer: 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -1576, -3403, -5840, -8827?\nAnswer: -12304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12928*x + 262 = 12887*x + 1902 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 1*sqrt(5)) + -2 + sqrt(5))*-6 - (5 + 2 + (-3*sqrt(5))**2).\nAnswer: -40 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1226, -2450, -3634, -4760, -5810, -6766, -7610, -8324?\nAnswer: -8890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 7, -32, -111, -242?\n\"Answer: -2*v**3 - 2*v**2 + 9*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530891088 to the nearest integer?\nAnswer: 23041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7*-0.1\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = -2*r, 4*r + 5*l - l = 4. Let s = 2 - r. Suppose s = 5*x + 2*f - 3 - 4, -2*f = x + 5. Solve -2*c - 3*q + 8*q = -7, x*c = -3*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6 + 0*l - 3*l + 4*l + 4*l - 20*l**2 + 46*l**2. Suppose 0 = -3*f - 0*f - 9. Let a be u(f). What is the greatest common factor of 45 and a?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*w - 10, 4 = -3*w + w + 3*a. Suppose 3*u - w = -16. Let x = 8 + u. Sort -2, x, -4 in descending order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/4 (b) -256 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -89.\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-46)\/(-299) + 108\/(-26). What is the closest to w in -3\/16, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voosphvooov. What is prob of sequence ov?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1764 + 109764 = 4014*s - 916*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -27, -42, -57, -72, -87?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28.1 in 3, 0.03, 7, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a78 - -849?\nAnswer: -22e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -8\/17, 0.72 in decreasing order.\nAnswer: 0.72, -0.01, -8\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2672.\nAnswer: -267.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -4. Suppose n - b = -6*b - 3, 0 = 3*n + 4*b - 2. Suppose 5*c = n*c + 9. Sort 2, o, c.\nAnswer: 2, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 24. Which is the biggest value? (a) m (b) -1\/7 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a - 5. Let y be p(-8). Let d(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 3*o - 8. Let k(i) = 2*i + 2. What is y*k(f) - 2*d(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -o + 2*u, 0*u - 3*u = -o + 49. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*o - 5 + 1, z = 2*o - 8. Suppose -o*a + 8*a = 1315. What are the prime factors of a?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 205567*g - 2466766. Calculate a(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -344*u + 346*u. Find the common denominator of -73\/14 and -2 - (-33)\/u - (-240)\/(-256).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkpp when four letters picked without replacement from kkppk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4146 + 20727\/5. What is the fourth smallest value in 23, -3, 10, h?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1936a4 + -4?\nAnswer: -1936a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 15 = -14*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 72. Let v be (f\/(-56))\/(9\/6). Which is the closest to -1? (a) -5 (b) 4\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 95, 17, -7?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -618 - -622. What is the closest to -1\/10 in -2, 2, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -27469 and 18.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - 9) + -3 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/12)*q)**46*q**22\/q**7)**18 assuming q is positive.\nAnswer: q**1029","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(5) + 2 + sqrt(5))*-5 + 4 - (-1 + 4*sqrt(5) + sqrt(5) + sqrt(605) + -2)**2).\nAnswer: -1298 + 86*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 4 (b) -3 (c) -0.3 (d) -33 (e) -1\/39 (f) 2\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + 20. Suppose -4*j - z = -17, d*j - 2*z = 4*j + 2. Let x be 5000004\/2 - (-2 + j). What is x rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168791.\nAnswer: 7, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r - 28. Let y be h(-3). Let o be (0\/1)\/(0 - -1). Suppose 0 = -g + 3*v - 3, 5*g + 2*v + 2*v - 23 = o. Solve -4*p = -g*i + 4, 10 = y*p + 30 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1296365 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13869, -27629, -41403, -55197, -69017, -82869, -96759, -110693?\nAnswer: -124677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-2 + (-3 - -3)\/(-1)). Suppose -5*k + 26 = 4*d, -5*d + 16 = 2*k - 8. Suppose 6 = -g + 3*j, -3*g + l*g - 37 = -k*j. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142169420?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r + 1260 = 32*r. Let t = 300 - r. Let o = t - 120. Solve -4*a - a = o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z + 48 - 50 = 250 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2996672, 2996674, 2996676, 2996678?\nAnswer: 2996680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:48 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let o(d) = 13*d + 306. Determine l(o(y)).\nAnswer: -338*y**2 - 15912*y - 187272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 34. Let u be f(0). Let z = 38 - u. What is the third derivative of -7*l**3 + 12*l**2 - 11*l**5 + z*l**3 + 3*l**3 wrt l?\nAnswer: -660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*b + 20*b**2 + 14*b - 2*b**3 + 10*b**2 - 10*b + 6*b**2 wrt b.\nAnswer: -12*b + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.22+0.01\nAnswer: -37.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 3*l + 59617 = -76486. What are the prime factors of l?\nAnswer: 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -385.6921813 less than -0.4?\nAnswer: 385.2921813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - n - 4*n + 2*n. Let w be p(-3). Suppose 9 = w*l, -2*m + 0 = -2*l - 150. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-12)*(-12)\/(-40). Let w = 0.12 + 3.88. Is w >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 25256376?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -19, 2\/9, -4, -0.033, 7\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*k - 95*k - 68 = 0. Let h = 75 + k. Solve h*t - 20 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13.56. Let o = 0.55999963 - t. What is o rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -4. Let u(v) = v**2 - v + 1. Let i(g) = 13*g**2 + 17*g - 4. Let w(j) = 29*j**2 + 38*j - 9. Let a(q) = 9*i(q) - 4*w(q). What is b*u(x) + a(x)?\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/14 - (-24)\/14. Suppose 0 + 3 = n. Let l be (-4)\/(-3)*n\/2. Does l = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 62*l**2 - l + 82. What is the remainder when 43 is divided by u(62)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let j(d) = 4. Let u(g) = g**2 + 3*g + 1. Let t be u(-2). Let b(p) = t*j(p) + 2*o(p). What are the prime factors of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 5 - 2)*(1 - 2 - 4) - 3 + 2 + 3)*(-p - 4*p + 3*p).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47378339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/660 and (-411)\/(-180) + 57 + -62?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, 3, -138 in descending order.\nAnswer: 3, 0.31, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21285)\/32373 + (-10)\/1090?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 8 + (1 - 4 + 2)*(2 + 2 - 3) - 2 - 2 + 5)*(-u + 0*u**2 - u**2 - 3*u) to the form o*u**2 + n*u + d and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(720) + sqrt(720) + 2 + 1*sqrt(720) + 1)**2 + 5.\nAnswer: 216*sqrt(5) + 6497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8*s = -26. Suppose -s*k = 3*y - 506, 4 - 5 = -k. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5\/6, 2, 2\/147?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2 - 2 + h**2. Suppose -2*k = a - 0*k - 6, 2*a = 3*k - 16. Let c be r(a). Solve 6*u - c*q - 17 = 3*u, 0 = 3*q + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349903 bigger than 1349902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419111100.\nAnswer: 2, 3, 5, 465679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwtg when four letters picked without replacement from {f: 1, g: 4, t: 2, y: 1, w: 10}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-11)\/a*a)**(-3\/4))**(-50) assuming a is positive.\nAnswer: a**(-825\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - 0 - (100 + 13).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 12*a + 2. Let t be p(6). Calculate the highest common divisor of t and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488400 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 33\/(-3)*(-2 + 1). Let a = -9 + m. What is the units digit of 2*(-1)\/a*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*f = 57 + 51, -137 = -3*a + 5*f. Calculate the remainder when a is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 3*s + 0*s + 1957*s**2 - 4235*s**2 to the form i*s**2 + k + j*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/42 and 55\/4710768?\nAnswer: 32975376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1656\/27)\/8 + -7. Let s(q) = 10*q - 2. Let b be s(-4). Let x = 380\/9 + b. What is the closest to y in -2, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 2*h**3 + 6 + 36*h - 26*h + h**3. Suppose 10 = 5*t, -t - t - 6 = 2*v. Is w(v) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2813490149?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18554066*j**2 + 2550967*j - 1 wrt j?\nAnswer: -37108132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -1)\/(8 + -7). What is the remainder when f\/(2 - 4) - 362\/(-4) is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353094 divided by 4?\nAnswer: -176547\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (22\/66)\/(1\/525)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23478944*l**3 + 11389574?\nAnswer: 70436832*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3235 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7\/3, -5, -1, 4, 655.8, -7 in increasing order.\nAnswer: -7, -5, -1, 0.1, 7\/3, 4, 655.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/3, 2\/9, -2, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2817.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77834994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37258 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3638 + -1914. Let j = p - 1724.00691. Round j to 4 decimal places.\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45.43 + 45. Let x = 82.9 + -86.33. Let i = x - z. Is 8 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 20838 - 20838 + 3*g**2 - g**2 + 2*g. Let j(w) = w**3 - w**2 - w. What is -d(h) - 2*j(h)?\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -4*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 11500\/(-200)*8\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*t + 52, -3*y - t = -6*t + 32. Let b(n) = -6*n - 20. Suppose 0 = 9*s - 5*s - 28. Let a(i) = 2*i + i + s - 2*i + i. Determine y*a(k) - 5*b(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*7\/(-168)*-3 + 18\/(-216)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -848*k - 5244. Give m(-6).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-4))\/x)\/(x**(-4)*x*x*x)*(x\/(x\/(x\/(x*(x\/(x\/(x*x**(-2))*x))\/x))))\/(x*x\/(x**(-1\/3)\/x)) assuming x is positive.\nAnswer: x**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 41, 60, 75, 80, 69, 36, -25?\n\"Answer: -t**3 + 7*t**2 + 3*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5920673?\nAnswer: 11, 631, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -300*c**2 - 350*c - 12. What is v(-5)?\nAnswer: -5762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.763 + 8.4835. What is i rounded to two decimal places?\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113)\/(94468\/(-152)) + (-156)\/11.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**4*x*x)\/x)\/x**16*(x\/((x**(-2\/13)\/x)\/x)*x*x)**(-1) assuming x is positive.\nAnswer: x**(-197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 - (4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 4:56 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-42)\/28)\/(52\/(-384)). Which is greater: 11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 11*c**2 + 2*c**3 - c**3 - c + 14 - 4*c**3. Let t be k(11). Suppose 2*z - t - 3 = 0. Sort -4, z, -2 in ascending order.\nAnswer: -4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-9))**20 assuming w is positive.\nAnswer: w**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 - 69. Let w(l) = -g*l**2 - l**3 + 68*l**2 - 11 - 6*l**3 + 15*l. Let o(m) = 4*m**3 - 6*m**2 - 8*m + 6. Determine -11*o(y) - 6*w(y).\nAnswer: -2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2299 and -39\/532?\nAnswer: 64372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36358 - 36385 + 72859 - 5419*j**4 with respect to j.\nAnswer: -21676*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 + p**2 - 4*p - 5. Let y be b(-1). Solve 0 = -3*c + 6*c + 4*u + y, 2*c = 4*u - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 9 = 38*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2099*a + 174203. Calculate l(-83).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 3, t: 2, x: 3, n: 2, h: 4, a: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 minus 394942655571?\nAnswer: -394942655578.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*z - 0*d - 3, 0 = -5*z - 2*d + 8. Suppose 5*y - 20 = 4*o, -5*o + y - 12 = -z*y. Let l(m) = 2*m - 3. Let k be l(3). Solve x + o = -k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 2 = -13*y + a, 2*y = a + 2. Let v = -2 + 5. What is the biggest value in 1, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -412 - -596. Suppose d = 4*g - 0*g. Let u = g - 40. Solve 6*j = 4*j - u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2*p**7\/21 + p**6\/15 + p**5\/3 - p**4\/3 - 173*p**2\/2 - 189. Let c(j) be the second derivative of z(j). Factor c(b).\nAnswer: -4*b*(b - 1)*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 216 = 5*s - 6*s, 0 = 2*s + 3*v + 399. Let x be 4*(s\/(-16))\/17. Solve -4 = x*r - 2*r + p, -3*p - 14 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 + (-1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -416 - -720. Suppose 85 = 2*r - 4*h - 123, 2*h + t = 3*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-152))\/(2*(-3)\/48).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 289*u**2 - 2682*u - 1. What is m(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 3*i**2 - i + 2. Let u be c(-2). Suppose 2*s = u + 32. What is the highest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 249492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Let s(h) = -12*h - 3. Let o(a) = -a. Let y(c) = 3*o(c) - s(c). Is 15 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1734*n - 269*n**4 + 1734*n + (n - 2*n + 0*n)*(4 + 2*n**3 - 4) as m*n**3 + k + o*n**4 + z*n**2 + x*n and give o.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let m(f) = -f + 3. Let v be m(-3). Let t(w) = w**2 - 7*w + 7. Let p be t(v). Let r(u) = 0 + 1 - 6*u - p. Determine x(r(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58448240?\nAnswer: 2, 5, 730603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 150*i - 4765. Calculate j(32).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 50*n**2 - 129*n - 1434. Give v(-52).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - j = -4*g + 679, 5*g - 3367 = -2*j. Suppose 5*p = -g + 6505. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p**2. Let m(d) = -22730*d**2. What is r(m(q))?\nAnswer: -4133223200*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 74526067 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 215001349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*-2*sqrt(432))**2.\nAnswer: 1440*sqrt(3) + 62233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(5 - 2 - 5)*(169 + 163 + 75)*(1 + 1 - 3)*(-3*o**2 + 4*o**2 - 2*o**2).\nAnswer: -1628*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 268153 and 2.3?\nAnswer: 616751.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32862418.5 rounded to the nearest one thousand?\nAnswer: 32862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 140260918.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l**3 + 6*l**3 - 19*l**3.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27506 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/70 + -1 + (-10)\/(-14). Suppose -5*f - 5*t - 5 = y, -5*t - 1 = 4*f - 4*t. Determine v so that 0 + f*v - 1\/4*v**2 + 1\/4*v**4 + 0*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a + 5*a**2 - 7*a - 6*a**2 + 16*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 9:37 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*k - z, 0*z - 2 = 4*k + 2*z. Which is the second biggest value? (a) -5 (b) k (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmbm when four letters picked without replacement from {k: 3, x: 1, m: 2, d: 1, b: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*i = -141*i. Solve t - 9 = -4*q - i*q, q = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166651285 is divided by 55550427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5572 greater than -5594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*j + 60 + 69 = 0, 4*j + 191 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*k = 9, 0 = -f + 3*k - 4*k + 3. Let u be (f - -10)\/(6 - 7). What is the smallest common multiple of 14 and (-6)\/u + 138\/9?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v. Let c(m) = 117*m - 276 + 139 + 137. Give c(r(p)).\nAnswer: 585*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/6*4\/((-80)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48538.\nAnswer: 2, 7, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Two letters picked without replacement from zbnaeat. Give prob of sequence bz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:12 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3307331\/22240 - -4757\/32. What is the common denominator of 85\/278 and t?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t + 2. Let s be 1 + t - (4 + -4). Suppose -s*l + x + 39 = 3*l, -2*l - 2*x = -6. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.2. Let u = h + 0.14. Let z = 0.04 + u. Round z to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 408 - 214. Suppose 4*x = -p + q, -2*p = 4*x - 0*p - 192. Suppose -b = 3*t - 10, 5*t - 2*b - x = -14. Solve 5 = t*r - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 2. Suppose 4*l = 10*l + 2160. Let t = l + 354. Give i(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 5*w - 53 - 2*w + w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = 16*j + 179. Let q(f) = f**2 + 2. Calculate the smallest common multiple of q(5) and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**3 + 115*x**2 - 63*x + 153. Let c be h(57). Let q(r) = r**3 - 2*r**2 - 6*r + 6. Let t be q(5). Let s = t - c. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 620 and 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j - 4. Let s(i) = 7*i - 5. Determine -3*g(r) + 2*s(r).\nAnswer: -7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let i be n(-5). Suppose 0 = -0*a - 9*a + 10*a. Sort a, -4, i in descending order.\nAnswer: i, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.37 - -0.16. Let s = h - -1.31. What is the closest to s in -2\/11, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-2*b**3 - b**2 + b**2)*(2*b**2 - 4*b**2 + 0*b**2 + (2*b - 4*b + 0*b)*(5*b - b - 2*b) - b + b + 2*b**2 - 30*b - 2*b**2 + 30*b).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -144, -281, -414, -543, -668, -789?\n\"Answer: 2*x**2 - 143*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-9)\/(-30)*(-29800)\/(-894)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 10. Suppose 4*y = s*m - 331, -2*m - m = 5*y - 322. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 7. Suppose -1520*i = -1518*i + 50. Let n(m) = -m**3 - 5*m**2 + m - 5. Let j be n(-4). Let s = i - j. Determine v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Suppose 12*c = 14*c - 16. Suppose -5*u - 3*d + 200 = 0, -u + 48 = -3*d + c. Calculate the greatest common divisor of v and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 127, 3, 14, 4, -2, -463, -11.\nAnswer: -463, -11, -2, 3, 4, 14, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - ((-1300)\/8)\/(-13) - (5902\/308)\/13?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + -3 + -5 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3580 - 3590) + 196\/19.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 + 4*q + 3. What is r(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3016)\/(-3770))\/(22\/(-20) + 4\/10)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-25)*o*(o\/o**(-2\/25))\/o*(o**(-2\/97)\/o)\/o**(1\/2) assuming o is positive.\nAnswer: o**(-123387\/4850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 7, 1, 181, 1\/3, -9, -0.5 in descending order.\nAnswer: 181, 7, 1, 1\/3, -2\/5, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5 - i - 4*i - 2 - 2*i. Let f be q(-2). Solve -3*b + f*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2324 and 1328?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -26.39 - 4\nAnswer: -30.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (2 - -121) + (2 + (-23 - -10) - 2)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1380 and 18.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrrtrirtirtrttrr. Give prob of picking 1 r and 1 i.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 41 - 160*g - 36 + 125.\nAnswer: -160*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:05 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + 4 + sqrt(539) + (0 + sqrt(539))*4 + -1 + 4)**2.\nAnswer: 700*sqrt(11) + 13575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80602 or 0.2?\nAnswer: 80602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*p**2*r**3 + 1089*p**2 + 4*p*r**3 + 4*r**3 - 9997*r wrt p?\nAnswer: -32*r**3 + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 553, 1161, 1769?\n\"Answer: 608*o - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 114372264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 1. Let c(m) = -m**3 - 5*m**2 - m + 1. Let g(z) = -z - 11. Let q be g(-8). Let d(u) = q*j(u) - c(u). Is d(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.22. Let m = 9.4 - 12.32. Let h = m - d. What is the third smallest value in -3\/7, h, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*f**5 + 68*f**2*r**3 + 2*f**2*r**2 + 2*f*r**3 + 17*f*r**2 + 13*r**3 + 3*r wrt f.\nAnswer: -1500*f**3 + 136*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/764 and 91\/596?\nAnswer: 113836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 1400*z**2 - 81856*z - 967680.\nAnswer: -4*(z + 16)*(z + 54)*(z + 280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 1)*(0 + 3 - 5) - 3 - 2 + 6 + 2 + 0 - 3)*(74*c + 3*c + 36*c)*(1 + 3 - 2)*(175*c**2 + 5*c**3 - 355*c**2 + 173*c**2).\nAnswer: -2260*c**4 + 3164*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263691 is divided by 167.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -24 + n + 56 - 41 + 3*n**2 + n**3 + 3*n**2. Calculate b(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.2 - 10968.1.\nAnswer: -10926.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 51781.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/37 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - w + 664 = 0, 885 = 5*q - 4*w - 199. Suppose 0*s = -10*s + q. Calculate the remainder when 108 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2460*w**2 + 5*w - 3067. Let q(z) = 2425*z**2 + 4*z - 3066. Let n(b) = -2*d(b) + 3*q(b). What is the second derivative of n(c) wrt c?\nAnswer: 4710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*u - 14. Let y be 9\/(-12) - (-2)\/u. Let h(p) = -95*p**3 + p**2 + p + 1. Let n be h(y). What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/6)\/(1\/9). Let k = f - 7. Let x = k - 7. Put x, -3, 5 in descending order.\nAnswer: 5, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -351*w**4\/4 + 18*w**2 + w + 16. What is the second derivative of x(v) wrt v?\nAnswer: -2106*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -72 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhnhjthjhnhnnjjnn. Give prob of picking 2 j and 1 t.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -1)*(84 + -85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0599 * -8.8206\nAnswer: -0.52835394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 962960 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 19, 5, -3, -50, -1 in ascending order.\nAnswer: -50, -6, -3, -1, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*k + 8, 4*u = 2*k + 3 + 5. Suppose 0 = -3*r + 2*x + 20, -4*r + 8 + 4 = x. Let v be (2\/r)\/(1 + -2). Which is greater: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 - -109. Let c = -4.9 - 0.1. Which is bigger: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 41352b - 6?\nAnswer: 413525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123117, -232492, -341867?\n\"Answer: -109375*b - 13742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.512 - 581.5.\nAnswer: -595.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -26. Let a(q) be the third derivative of 1\/60*q**5 + 0 + 0*q - 2*q**j - 1\/6*q**4 - 1\/2*q**3. Give a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13438210 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 23*c - 23 = 20*c, -20*p = 2*c + 148 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14426980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.1 + 3.1. Let r = 22 + h. Let d = 3.4 - -0.6. Which is the nearest to -1\/4? (a) d (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 8. Let u be (204\/(-765))\/((-2)\/(-45)*-3). Let p(v) = 5*v - 40. Determine u*p(r) + 11*t(r).\nAnswer: -r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7174252 and 12006.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*p - 1 = 0, 2*p = k + 3*p - 5. Calculate the lowest common multiple of k and (16 - 2) + (-2 + 7 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 19 = -5*c - 0*c, -4*c - 3*d = -11. Let t = 10.1 + 0.9. Let q = 11 - t. Do c and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13, -0.1035, 5 in decreasing order.\nAnswer: 5, 3\/13, -0.1035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 63158*z + 884190. Calculate u(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10040.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 85. Let y be o(17). Suppose 3*w - 185 - 442 = y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/25 - (-18)\/5. Suppose 4*u + j = 24, 2 = n + u. Let x = -0.38 + -0.02. What is the fourth biggest value in n, x, 5\/4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000090178 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307987 - -1533831\/5. Let m = 22761\/20 + a. Let w = 82 + m. What is the third smallest value in -5, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*h - 4 = 0, 0 - 2 = 5*a - h. Solve a = -6*k + 2 - 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**4\/6 + 5*l**3\/6 - l**2. Let z be ((-4)\/10)\/((-2)\/(-30)). Let a be r(z). Solve 4*w - s - a + 6 = 0, -5*s - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3865, 7414, 10963, 14512?\n\"Answer: 3549*o + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29434449 to the nearest integer?\nAnswer: 5425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -3*o, -1 = -0*c + 3*c - o. Which is smaller: c or 12\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:29 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/11)\/(9163\/14399)*(-7)\/72?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47681.\nAnswer: 47681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1470022 divided by 118.\nAnswer: 735011\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 186. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(3\/2)*n\/(n\/n**2)*(n*n**5\/n*n)\/n)\/(((n**(2\/9)\/n)\/n**(-2))\/((n\/(n**(-1\/3)*n))\/n*n)**42) assuming n is positive.\nAnswer: n**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186541378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 2:43 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 48. Let m(i) = -i**2 + 8*i + 12. Let x be m(9). Does 9 divide (x\/6 + 0)*z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117126371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -2. Let v = 10 + -5. Suppose -v*y = 11 + n. Is y less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -92*n + 83*n - 9. Let w(s) = 29*s + 46. Let h be w(n). What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318 (base 10) in base 11?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496038777 is divided by 311?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -131, 3, -789 in descending order.\nAnswer: 3, -5, -131, -789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 5*h - 50, -n - 3*h = -6*h + 16 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 454846 and 11034.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -2 - (-4 + (-8)\/(-2)). Suppose x*z + i - 70 = -0*i, 0 = -4*i - 20. Solve -5*f - 5*m + 0 = z, 0 = 2*m + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 123 and 43?\nAnswer: 5289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urrd when four letters picked without replacement from {t: 1, p: 1, d: 1, r: 4, u: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 30668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose -q - 3*s = -35, -a*s + 31 = q + 3*s. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 16)*((-27)\/(-6) + -4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121\/5 <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and 39318370.\nAnswer: -11009143.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -3.97. Let s = 2 + o. Which is the second smallest value? (a) -0.2 (b) s (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - 1 - (-54 - -50)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 169 - 181 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 136*r + 128*r + 0 - 266*r + 0. Let w(b) = 1030*b**2. Calculate w(l(c)).\nAnswer: 4120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-780)\/(-84)) - (-15)\/(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71369\/33 + -2163. Calculate the common denominator of v and -29\/246.\nAnswer: 2706","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: 7, o: 12}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 147419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18528647053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201489.\nAnswer: 3, 47, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 811*s**5 - 393*s**5 - 939 - 416*s**5 - 3*s**5 + 3*s**5 - s**5 + (-s + s + 2*s**2)*(-2*s**3 + s**2 - s**2).\nAnswer: -3*s**5 - 939","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19522828 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1564281, -1564231, -1564147, -1564029, -1563877, -1563691, -1563471?\nAnswer: -1563217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 1, q: 11}. What is prob of sequence qr?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -431039*k - 1293113. Determine i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -106.\nAnswer: 21\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 669820?\nAnswer: 2, 5, 107, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -19, -2\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 211047 less than -14?\nAnswer: -211061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -11) + -2 + -27.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/15*j**4 - 2\/5*j**3 + 2\/5*j + 2\/15*j**2 - 4\/15 = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 49 + 30. Let t be (3 + 200\/(-66))\/(v\/(-12)). Let q = 3405\/1738 - t. Find the common denominator of q and 143\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-154)\/35)\/(18\/(-90)). Suppose -5 = 3*t - 3*d - 20, 2*t - 5*d = 19. Let r be 11 - (0 - (2 - t)). Solve 3*u = -u - a + r, -5*u = 4*a - x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1305301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hipoach. Give prob of picking 1 a and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59478 and 4.\nAnswer: 118956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16936 = 3*y - 76*y. Find b such that -b**3 + 117*b**2 - b**3 + 143*b**2 - y*b**2 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 42*m**2 - 16*m + 37. List the prime factors of t(5).\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 6*w + 1. Let t be a(5). Let d be (2 - 3) + (-1 - t). Solve -5*r + 5 = 5*n - d*r, -2*r - 14 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*v + 220 = 0, -3 = v + 2. Let w = o + 646. Suppose 156 = -5*n + w. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = -13 + 62 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 + -553\/4. Let a be 2 + -2 + (2 - 1). Let h be (a\/10)\/(1\/(-6)). What is the nearest to -1\/3 in -4, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36039 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007653 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77\/33*852\/11431.\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f. Let l(o) = -10*o. Let q(c) = 2*c**2 + 5*c + 2. Let z be q(-4). Let w(t) = z*h(t) + 4*l(t). Let x(s) = -5*s. What is x(w(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:08 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6309*o**3 - 6349 + 1126*o**3 - 3884*o**3 + 11246 with respect to o.\nAnswer: -27201*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 3678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 7*g + 28 = 0, -29*s = -27*s - 2*g - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 424.98 + -419. Let v = -0.42 - g. What is v rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 7*o - 345465 = -7*o. Is 84 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3313 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/16)\/15 + 4\/((-1408)\/(-2388)). Is 7 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7*m + 0 - 2\/7*m**2.\nAnswer: -2*m*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - k + 11. Let o(i) = 3*i**2 - 11. Let t(w) = 4*f(w) + 5*o(w). Let z be t(-5). Which is bigger: -46\/3 or z?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -521 (base 6) to base 8.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0850484 kilometers?\nAnswer: 85048.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-120)*76\/418 + 5\/76?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = 0, 4538 = 2*x - 92*k + 91*k. Is 42 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 - 5*n + 2*n**2 + 4*n. Let o(h) = -6*h**3 + 5*h**2 + 6*h. Determine -11*g(c) - 2*o(c).\nAnswer: c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - 2*n - 3*n + 6*n**2 - 2*n in the form o*n + b*n**2 + w and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24208 - -24512. Calculate the remainder when t is divided by 282.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -2142?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1678912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -7. Let i = 1\/6174 + -51965\/3087. Find the common denominator of o\/(-10) + 1990\/400 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb + 43?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 + r**2 + (-104 + 104 + 17*r)*(-2 + 2 + 3*r).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n + 13 + 2*n - 8*n - 55. Does 28 divide i(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 30*r - 104. Let p be j(4). Suppose -177*v**3 + 86*v**3 - p*v**2 + 24*v + 93*v**3 = 0. Calculate v.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 10 = g + 5*b, -2*g + 4*b + 10 = 0. Suppose -16 = -a - g*a. Suppose -a*j + 4*t = -7*j + 62, -5*j + 5*t = -80. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*c - 27 = 91*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 0*i - i)*(1 - 5 + 2)*(-3*i**2 + 4*i**2 - 3*i**2) + 4*i**2 + 4*i**3 - 4*i**2 as s + b*i + n*i**2 + d*i**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 3, m: 4}. Give prob of picking 1 n and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10.44. Let z = 0.14 + m. Let s = z + 3.3. Which is the third smallest value? (a) 4 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvffmvtmffvmfmvew. Give prob of sequence tvf.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 52.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 4, 0.026?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1212121?\nAnswer: 1212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3 + 11. What is the greatest common divisor of y and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - 1\/2*-86 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -189\/86329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/306328 and -65\/689238.\nAnswer: 2756952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i**2 - 9 - 5*i**2 - 10*i**3 + 5*i + 11*i**3. Let x = 473\/102 - -1\/34. Calculate the common denominator of x and b(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 130*q - 125.\nAnswer: -5*(q - 25)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 646308097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 738*s**2 - 4*s - 2539. Let c(m) = 222882*m**2 - 1210*m - 766777. Let h(q) = -6*c(q) + 1815*u(q). Differentiate h(f) wrt f.\nAnswer: 4356*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45318 = -40129*g + 40675*g for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 619 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 8}. What is prob of picking 3 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36771 smaller than 36772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 3*l = 3*n - 6, n - 7 = 4*l. Suppose 0 = -2*g - 0*g. Suppose g = -3*c - 4 - 8. Sort n, c, -1 in descending order.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (-2 - 732\/(-8)). Let c = r - 79. What is x in 0*x - 6*x**5 - c*x**3 - 3\/2*x**2 - 12*x**4 + 0 = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -38. What is the units digit of (2 + 4 - 1) + t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 253 - 268. Let v(z) = 5*z**2 - 7*z - 304. List the prime factors of v(k).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 8*z**2 - 2*z - 4. Let y be f(-8). Suppose 4*d + b = 7 + 9, 2*b = -4*d + y. Solve d*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ssexjsj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.5, -1\/4, -152?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001664 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2689895 or 2689882?\nAnswer: 2689882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 6*c + 18. What are the prime factors of p(5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**10*t**(4\/7))\/(t*t**1*t)**21)**(-21))**(-38) assuming t is positive.\nAnswer: t**(-41838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*35465805.\nAnswer: -14186322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2 + 5 + 2*x + 5 as n + k*x and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-3)*4\/30. Let r be (28\/(-6330))\/(2\/183). Let x = -1\/211 - r. Put -0.2, t, x in descending order.\nAnswer: x, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -177*d**4 - 194*d**4 + 79*d**4 - 3*d**4 + (-2*d**3 - 3*d**3 + 6*d**3)*(2*d + 2*d - 6*d) to p + k*d**2 + y*d**4 + z*d + t*d**3 and give y.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -518 (base 9) to base 12\nAnswer: -2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**2\/8 + 1131*q\/4 + 11910 = 0. Calculate q.\nAnswer: -40, 794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-6)*1195\/(-478)*4\/10*-3\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 663. Let n(b) = -8*b**2 + 2686. Determine 11*a(j) - 3*n(j).\nAnswer: 2*j**2 - 765","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -40 + (-11458)\/(-204) + (2 + 1)\/(-18)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4 - 383*i**3 - 2*i**2 + 90*i + 3.\nAnswer: 12*i**2 - 2298*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from ilgglggiogg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/11645?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*p - 183 + 384 - 61 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153))*1*-1.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -191548351\nAnswer: 6\/191548351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 + 26. What is w in 4\/5*w**2 + 0*w + 0 - 2\/5*w**b = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -14. Suppose -k = -104*z + 101*z. Calculate the highest common divisor of 25 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293255.\nAnswer: 5, 89, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3 + (288 - (-8)\/2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 380, 45?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-12))\/(i\/i**1*i*i))\/(i\/(i*((i*i\/(i*i\/(((i\/(i*i\/(i\/(i**(-2\/5)\/i))*i*i))\/i)\/i))*i*i)\/i)\/i)*i**(-3\/2)\/i) assuming i is positive.\nAnswer: i**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -61\/3. Let q = 11 - 79\/7. Which is the closest to q? (a) 0 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129\/4*w**2 - 1449\/4*w - 3\/4*w**3 - 1323\/4.\nAnswer: -3*(w + 1)*(w + 21)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*h + h + 6, -8 = 3*x - h. Let i be 30\/6 - (x + 1). Find the first derivative of -2*y - i + 2*y + 7*y**2 + 7 wrt y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 52 = -2*f - 2*f, -2*p - 64 = -4*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(17)*1*1*5*-4 + 4.\nAnswer: -120*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -4, 1, -2\/11 in ascending order.\nAnswer: -4, -2\/11, -0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u. Suppose 0 = -3*l + 4*t + 534, -2*l + 0*l - 3*t + 356 = u. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*k - 3 + 2 + 72*k + 1 - 203*k.\nAnswer: -56*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a484 - 19?\nAnswer: 2a46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 494*s**3 - 2*s**2 - 30*s + 2.\nAnswer: 2964*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 5 (b) 19 (c) -3\/2 (d) -37 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.3. Let t be 1071\/1260 + ((-4)\/5)\/(-2). Do l and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -23959*s + 1030271. What is j(43)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8255 = -13477*t + 36412 + 241383 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s - s**2 + 0*s + 0*s - 2 - 3*s. What is the units digit of m(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1552 - -1556. Let -2\/3*o**5 + 20\/9*o**3 + 16\/9*o + 10\/9*o**i - 40\/9*o**2 + 0 = 0. Calculate o.\nAnswer: -2, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/105)*a)\/a)\/(a\/((a*a**15)\/a)) assuming a is positive.\nAnswer: a**(1468\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19\/18 - -14\/9. Let w be (-120)\/(-50)*(-1)\/(-4). Which is the nearest to 0? (a) -0.1 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -102*u**3\/7 + 297*u**2\/7 + 435*u\/7 + 36\/7 = 0. Calculate u.\nAnswer: -1, -3\/34, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n + 12 = 0. Solve -3*c - 11 = a, 0 = c + n*a - 0 - 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 524 + 431. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 831\/20 - 915\/22. Calculate the common denominator of -131\/6 and i.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - (-77)\/2. Suppose -o - 9 + n = 0. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-5) + 434\/(-1160). Let q = m + 171\/6844. Let p = -83\/472 + q. Is 1 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-16))\/(((-12)\/(-144))\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -43, -27, 5, 59?\n\"Answer: j**3 - j**2 + 2*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d805 (base 16) in base 3?\nAnswer: 201110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*r - 447 - 103 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 899261574 rounded to the nearest one million?\nAnswer: 899000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 19.194289?\nAnswer: -36.4691491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 19. Let q(c) = -c**2 - 15*c + 21. Let k be q(n). Suppose -j - 2*x = -30, j + k*x = 59 - 14. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 2*(-1 + sqrt(50)))**2.\nAnswer: -1416 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 70*r - 6183. What is c(-52)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**6\/40 + 27*g**5\/40 - 3*g**4 - 80*g**3 + 1152*g**2 + g + 47. Factor j(h).\nAnswer: -3*(h - 8)**3*(h + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-15)\/20*80\/(-3300)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-9)\/21)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/195, -2, 3\/7, 2\/27 in decreasing order.\nAnswer: 3\/7, 2\/27, 2\/195, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20312*f**2 - 519137 - 2*f**3 + 519137 - 20312*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -61.919. Let d = l + 6.081. Let j be (6\/(-15))\/(12\/10). What is the second biggest value in -3\/5, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8806363 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -1)\/3 - -40. Suppose 2*x - t = 4*k, 0*x + 24 = 3*x + 3*k. Solve -c = j - 4, -x = c + c - 2*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nueh when four letters picked without replacement from neuhkeqk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*o - 0*o + 115, -4*a + 4*o = 92. Let r = -19 - a. Solve -r*p - 10 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03261 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 118 and -14931305819.\nAnswer: -14931305701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -29302\/22831?\nAnswer: -29302\/22831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652678097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2 (b) 4 (c) 236\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/(-12))\/(2\/4). Let j be (0 - c)\/3 + 2. Let a = j - -5. Solve 6*h - 2*h = a*s - 4, 4*h + 3*s = 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 0.0815, 0.039, 0.04, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5434 - 27477 = -3149*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35385 and 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 3895?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 >= 2100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j + 9. Let i be c(7). Suppose 7*r - i = 3*r. Find the third derivative of -p**6 + 6*p**r - 6*p**4 - p**2 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11698980*m**3 - 123308785*m**2 wrt m?\nAnswer: 70193880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 40 = 4*h. Let o(r) = 4*r - 3. Let k be o(2). Suppose h = 3*l - 2*z, k*l + z = -3*z. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3302*y**2 - 1513*y**2 - 2058*y**2.\nAnswer: -269*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03671507 to 5 dps.\nAnswer: 0.03672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929972943?\nAnswer: 3, 103330327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, d: 4, q: 1, p: 6}. Give prob of picking 2 d.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**4 + 6*g**2 - 6*g + 16. Let d(m) = m**4 + m**2 - m. Let w(u) = -6*d(u) + r(u). Find the first derivative of w(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/4 - ((-94)\/96 + 4) and 73\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 660976, 1321959, 1982946, 2643937, 3304932, 3965931, 4626934?\nAnswer: 5287941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 17*o**2 - 40*o**2 - 109*o**2 - o to z*o**2 + u*o + a and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/5, 0.047, 81, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*d + 3. Suppose -d + 15 = h. Suppose -23 = -h*y - 0*x - 3*x, -x = y - 6. Solve -y*s + 14 = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224263 less than -7.2404046?\nAnswer: -224270.2404046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(-2*(-1)\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379846 is divided by 408.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - m - 6588 + 6597 = 0, 2*p = -2*m - 14 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by -1614\nAnswer: -117\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 19*t**5\/60 + 5*t**4\/6 - 23*t**2. What is the second derivative of n(m) wrt m?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 6*s + 3. Let u be y(6). Suppose 15 = u*i - 5*q - 15, -3*i = 5*q - 30. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/57 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -125 (b) 0 (c) -346\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 6) to base 13\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.003 + 14.903. Sort -0.4, g, -2\/2645.\nAnswer: -0.4, g, -2\/2645","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188040560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222022221001001 + -100?\nAnswer: -222022221001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6752 (base 8) to base 4\nAnswer: -313222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20607708 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-366)*12\/(-324)*-18.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2 + 5*j - 5. Let b(x) = -x**2 - 2*x. What is a(i) + 4*b(i)?\nAnswer: -i**2 - 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*q - 2 - 12, -3*q = 2*y - 1. Let u be ((-175)\/(-50))\/(2\/y). Let k(c) = c**2 + 9*c + 10. Determine k(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702152804 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9633411*y + 1667471 wrt y.\nAnswer: 9633411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68479, -134320, -200161, -266002, -331843, -397684?\nAnswer: -463525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 80, 1, -4, 5 in descending order.\nAnswer: 80, 5, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3470705 to the power of 1\/2, to the nearest integer?\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142, -335, -2 in ascending order.\nAnswer: -335, -142, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4338 times 0.2\nAnswer: 867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t + 5. Let g(b) = -2*b**3 - 9*b**2 - 7*b + 20. Let w be g(-5). Let u = -93 + w. Let x(j) = -15*j - 11. What is u*q(i) - 6*x(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 3*d**2\/2 + 937491*d\/2 - 937497 = 0.\nAnswer: -312499, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -71*r + 76*r - 2*b, 5*r + 6*b + 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kqqqqqkqqqllqbkqk?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v - 131. Suppose -4*h - 29 = 4*m + 27, -5*m - 4*h = 70. What is the tens digit of q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + ((sqrt(468) - ((0 + sqrt(13))**2 + -4))*-2 - (4*sqrt(143)*-1)\/(-5*sqrt(22)\/sqrt(2)))).\nAnswer: -56 + 256*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 40*o + 4*o + 2*o**2 - 12 + 0. Let v(r) = -r**2 - r + 2. Let x(u) = -p(u) - 6*v(u). Determine b so that x(b) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 28. Let k = t + 1. Suppose -5*c - 2 + 22 = 0. Solve x + k = c*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2952*q + 1569*q - 1 + 1769*q)*(1 + 0 + 1) to the form v + m*q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 10, y: 6, a: 2}. Give prob of picking 2 v.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -603608.3 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798 by 57.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 27*h + 92. Give a(12).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4320 and 54267280?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1008853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -352429.6890865 + 352430. Let v = s + -0.311. What is v rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1208\/5 or -1?\nAnswer: 1208\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*i + 4 - 3)*(-1136 + 2235 + 557 + 1463).\nAnswer: 12476*i + 3119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -10.7. Let k = j + -0.3. Put k, -4, 0.2 in descending order.\nAnswer: k, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -82 + 2188 + -2125?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -9*i**2 + 349*i + 51. Let s be a(39). Which is greater: s or -35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32\/535 - -92\/107. Let r be (-1*3\/4)\/(-1). Which is the fourth smallest value? (a) 1 (b) 5\/16 (c) r (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2738142 + 0.059\nAnswer: 0.3328142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1104055, 2208111, 3312167, 4416223, 5520279?\n\"Answer: 1104056*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2372362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 409 divided by -56742\nAnswer: -409\/56742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2809757639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321510 + -117?\nAnswer: -321627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*s + 27, d - 5 - 1 = 4*s. Let z = d + 4. Which is the nearest to z? (a) -5 (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1027 + j - 96 + 5580 + 2581)*(-4*j**3 + 4*j**3 - j**3).\nAnswer: -j**4 - 9092*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r - 40*r - 17 = -87*r + 3*f - 2*f, 3*r - 59*f = -8*f - 123 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 16080 = 34*l. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71408476 is divided by 81?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5 = -5*t. Let o be t\/1 + 2\/1. Suppose 4*p = -5*d + 250, -5*d = -o*p - 114 - 136. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a milligram in micrograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (41511\/(-505) + 59)*-5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + 13*d - 2. Let q = -4 + 8. Let u(l) = -4*l**2 + 12*l - 2. Let p(s) = q*u(s) - 3*r(s). List the prime factors of p(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12960*n - 22224 = -14349*n for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 21*d - 82. Give k(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 2*r - 2*r**2)*(22*r**2 + 22*r**2 + 25*r**2) as z*r**2 + m*r**3 + f*r + a*r**4 + d and give a.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/10)\/(18\/60). Let s(r) = -8*r**3 - 8*r**2 + 8*r + 8. Let q(g) = 9*g**3 + 9*g**2 - 9*g - 9. Let c(h) = m*s(h) + 5*q(h). Factor c(u).\nAnswer: -3*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 8*j + 50*j + 10*j. Let u(z) = 2*z**2. Calculate s(u(a)).\nAnswer: 136*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y - 8 = 0. Let a = -30 - -59\/2. Put a, y, -0.3 in ascending order.\nAnswer: y, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196198.9 grams to milligrams.\nAnswer: 196198900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/((-240)\/(-280)*4\/(-3))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + (-3 - 3 - -3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51345 and 29340?\nAnswer: 205380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*j - 7, 50 = 4*l + 4*j - 6. Suppose -3 = 4*u + 5. Let i(q) = -2 - 2*q + q + 3*q. Let g(h) = 8*h - 9. Determine l*i(n) + u*g(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 6*t**2 + 91*t**3 - 179*t**3 in the form s + c*t**3 + w*t**2 + u*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4742295 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:47 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -10.6, 1\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)\/t**3*t**(-4\/7)*t*t\/t**(-3) assuming t is positive.\nAnswer: t**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 3, g: 9}. What is prob of picking 2 m?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/105 + (-4)\/(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130114 >= -130115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyym when four letters picked without replacement from yyyyyyyhyyyhyyhm?\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (12 - (9 - -6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -15*d**3 - 18*d**2. Let q(o) = -o**2. Let h(c) = -q(c) - s(c). What is the third derivative of h(x) wrt x?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2777522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(45) - sqrt(135)\/sqrt(3))**2 + 6*(sqrt(20))**2)*5*1*-1.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 771 and 7786329.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*t = 131*t + 11*t - 7964 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 + 2*p**2 + 4*p - 10. What is q(3)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11120138 rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 4. Let h be z(3). Suppose 4*q + m = 9, 3*m - 1 = -5*q + h. What is the second derivative of 4*r - r**3 - 6*r + 3*r**q wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6100*p**2 + 45*p + 82. What is the ten thousands digit of g(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 + y**2 + y - 2. Let m(v) = -6*v**3 + 3*v**2 + 2*v - 7. Let i = 286 + -527. Let n = 243 + i. Determine n*m(x) - 7*r(x).\nAnswer: 2*x**3 - x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0142384753 to 4 dps.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112840 is divided by 19872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a = -9 + 9 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -236691, -236694, -236697?\n\"Answer: -3*r - 236688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 240754 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -102, -132, -142, -126, -78, 8, 138?\n\"Answer: b**3 + b**2 - 54*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mii when three letters picked without replacement from {m: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001015163 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**3 - 82*w**2 + 43*w + 8. Give z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/3))\/k*k**(2\/5)*k*k*k**(1\/2)*k*k\/((k**(-1\/5)\/k)\/k) assuming k is positive.\nAnswer: k**(203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321*v*y**3 - v*y**2 + 4190*v*y - 2*y**3 wrt y.\nAnswer: 1926*v*y - 2*v - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((1 - -2) + -1). Let s(y) = 0*y**x + 3*y**2 - 2*y**2. Let d(b) = 102*b. Let n(q) = 69*q. Let l(z) = -4*d(z) + 6*n(z). What is s(l(j))?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1894708?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q. Let o(i) be the second derivative of -i**5\/20 + 7*i**4\/12 + i**2 - 6*i. Let j be o(7). Let k(a) = -3*a**2 + 4*a**2 - 7*a**j. Determine y(k(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g + 7. Let z be 1\/(3\/54*g). Let i(p) = -9*p**3 + 11*p**2 + 13*p + 11. Let f(v) = 4*v**3 - 5*v**2 - 6*v - 5. What is z*i(r) - 13*f(r)?\nAnswer: 2*r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 5150?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115179?\nAnswer: 3, 38393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwiwjyihwjijiyiiw. Give prob of sequence iwj.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4157440003\/54 + -76997741. Let f = -24326\/3 - k. Find the common denominator of -53\/24 and f.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75290)\/(-28)*(-16)\/(-20). Let c = -2159 + b. Let q = 4\/989 + 24609\/28681. What is the common denominator of c and q?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 - -90. Suppose -2*v = p - 64, -p + 38 + 32 = i*v. Suppose 24 = 2*s + j, 0 = -3*s - j + p - 23. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:06 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3360)\/(-896) + 8\/(-16).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -26*32\/128*8\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 187 + -76. Suppose g + 77 = 2*a. Calculate the remainder when a is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 f when three letters picked without replacement from {h: 9, u: 1, f: 4, e: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35475588 by 4.\nAnswer: -8868897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 152364 - -4146?\nAnswer: 156543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.8 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*r + 3, -5*r = -4*l - 0*l + 5. Suppose -6*t - 4*w = -t + 1, 0 = -2*t + 5*w + 26. Is (r + (-84)\/(-9))*t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 + 3 = 2*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4168.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - g. Let p(x) = -x**2 + x + 2. Let l be p(0). Suppose -l*h = h + 3. Put 2, h, g in increasing order.\nAnswer: h, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/73199 + 141566844\/805189. Let f = a - 176. Calculate the common denominator of -65\/6 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h. Let i(k) = 11*k - 407. Let y be i(37). Let u(v) be the third derivative of 0 + 0*v + v**2 + 1\/24*v**4 + y*v**3. Calculate c(u(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6*v - 189004*c**3*v - 3*c**2*v - 45*c*v - 22*c - 1 wrt c.\nAnswer: -120*c**3*v - 1134024*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2757800 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*p - 171 + 171 - 196*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -48. Let t(g) = 1368*g + 5. Is t(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306891 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1\/60*a**5 + 0 - a**2 - 2*a + 1\/24*a**4 + 1\/2*a**3. Let y(n) be the first derivative of j(n). Give y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from cifqqpc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36757959*s**3 - 2*s - 1253004 with respect to s.\nAnswer: 110273877*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114454, 228870, 343286?\nAnswer: 457702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74)\/(-111)*(-6)\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -25\/22*r**4 - 4\/11*r**2 - 3 - 40\/33*r**3 + 0*r. Suppose h(y) = 0. What is y?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10169 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 32*z - 23. What is the units digit of n(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j - 5*j - 4*j. Let p(v) = 26*v. Calculate p(b(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3 = 5*r. What is the derivative of -3*z - 78*z**3 + 68*z**r + 3*z - 6 wrt z?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 8*s**2 + 4*s - 5. Let g be b(-6). Let t = g - -21. Let u be ((-48)\/t)\/((-2)\/24). Calculate the greatest common divisor of 81 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0 + 1\/60*f**5 + 2*f**2 + 5\/6*f**3 + 0*f + 1\/24*f**4. Calculate the remainder when x(5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 6*z + 1. Calculate m(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 124*i**2 + i + 1. Let v(c) = c + 7. Let r be v(-8). Let o be u(r). Let m = 57 - o. Round m to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015453 to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21350215 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.44750853 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - f = -o + 32, -4*f = o - 2. Suppose -5*d - 105 = -250. What is the remainder when d is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445 is divided by 1220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 56, -52 in descending order.\nAnswer: 56, 4, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + 6 + 2*h**3 + 40*h + 28*h**2 + 2*h**3 - 4*h**3 + h**3. Is n(29) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8011254 to the nearest integer?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**4 - 35*l**3 + 120*l**2 + 900*l = 0. What is l?\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1513924 and 12908.\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/9 and 41\/40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 0*j = 36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.72 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 20*j**4 - 5*j**2 + 74. Let w = 75 + -81. Let h(l) = -l**4 + l**2 + 1. Let z(k) = w*h(k) - a(k). Differentiate z(g) with respect to g.\nAnswer: -56*g**3 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -458 divided by -12\nAnswer: 229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 49484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = r - 4*r + 23, 3*v + r = -11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = -171*j + 167*j - 2*b, 75 = -4*j - 3*b for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68.9 + 69. Let f = s + -0.5. Let c = 0.8 + -0.3. What is the closest to -0.4 in f, -2\/7, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/14 + 3\/(-21)*-52. Suppose 4489 = k*r - 1247. What are the prime factors of r?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 3*c**2 - 72*c**2 + 75*c**2.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1069*y**3 - 4*y**2 - 24*y + 7. Let o(p) = -2138*p**3 - 7*p**2 - 42*p + 13. Determine -7*k(n) + 4*o(n).\nAnswer: -1069*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31314218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -13*u + 8. Let h be (4\/(-3))\/(2\/(-24)). Calculate the greatest common factor of u and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 872260 and 872347 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 236*p**2 + 263*p + 6159. What is r(-237)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 2:03 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 10. Let j = h - -18. Suppose 0 = 2*f - j, c + 4*c - f = -3. Sort -3, c, 2 in descending order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82 - (-48 - -99 - 136).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - d)*(3 + d - 1 + d)*(-4*d + 4*d - 4*d).\nAnswer: 16*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -w + 50, -55*w + 92 = -53*w + 2*l. Calculate the remainder when w is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + (8 - 3 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13447 and 1017?\nAnswer: 121023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 36. Let v be t(-12). Suppose -49 = -a - v. What is the closest to a in 0.4, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70173 (base 10) to base 15.\nAnswer: 15bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 81*j + 666. Let x be m(-8). Calculate the greatest common divisor of x and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1279264200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7359792 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -11*f**3\/3 - 7*f**2 - 4*f - 227. Calculate z(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 940194074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 164*o**2 + 4610*o + 2. Determine n(128).\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/26 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/((-4)\/(-234)). Let g = -40 - -66. What is the greatest common factor of j and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 25, 13, -3?\n\"Answer: -2*t**2 - 2*t + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-11)\/(-2))\/(3\/6). Let d be 1817\/15 - (-12)\/(-90). Calculate the highest common divisor of r and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, z: 2, s: 1, d: 1}. What is prob of picking 1 s and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046 is divided by 513?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or 173?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let t(a) be the second derivative of 115*a**3\/6 + 7*a - 20. Give t(y(u)).\nAnswer: 115*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 + 3*t - 3. Let w be d(-5). Let p(f) = 2*f - 10. What are the prime factors of p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*f + 4*b = -420*f + 17, -4*f + 38 = 6*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-108)*(-3)\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 60 - 9*g)*(5*g**3 + 11 - 10 - 8) as j*g**4 + v*g**3 + l*g**2 + p + w*g and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504658 = 12672*j - 124498 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -l + 22021, 5*l + 20*h = 22*h + 110117. Let k = 792971\/36 - l. Calculate the common denominator of k and 173\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*k, 2 = -2*u - k + 9. Solve 5*h + 2*s - u - 1 = 0, 9 = h + 3*s for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 252 = 2*c - 232, 3*v = 42*c - 3*c + 86 + 424 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(325) + 4)*3)**2 + -4.\nAnswer: 180*sqrt(13) + 2957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3828970*a**3*n**3 + a**3 - 433109*a**2 + 4*n**3 wrt a?\nAnswer: -22973820*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g = -2292. Is 3\/(-9) + g\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234973311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0871, -4, 0.02?\nAnswer: 0.0871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**3 + d - 1. Let g be a(1). Suppose 0 = -k + g. Which is smaller: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/5*31\/(1426\/115)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*7\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 151, -0.6, -1, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -65. What is the smallest value in 0.2, -0.1, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4022 (base 5) to base 12.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n - 22. Let d be h(11). Let c = 175 - d. What is the greatest common factor of c and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = -22*i + 18*i, 0*j = 4*j - 28 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2599983753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 807841 and -0.1.\nAnswer: -80784.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9646, 9645, 9644, 9643, 9642, 9641?\n\"Answer: -y + 9647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.05, 2.4, -6\/5, 4\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2*f - 5 + 5.\nAnswer: -2*f + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*j + 590 = 0, -1 - 5 = 3*j. What is the highest common divisor of 66 and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 10:11 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 1373*o**2. Let t(m) = 158*m**2 - 256*m. What is t(r(d))?\nAnswer: 297850382*d**4 - 351488*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118 - -175. Suppose m = k - 28. Suppose 6*x = k + 227. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966272*d**2 - 966272*d**2 + 26541*d**3.\nAnswer: 26541*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 30*u - 16*u + 2 = 0, -u - 8 = b - u - 7*u for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 22. Let u(x) = x**2 + 9*x - 4. Let i be u(-7). Let k be (-66)\/i + 4\/3. Is 21 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 31536 = -338*g - 522*g for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10008 + a**3 - 22*a + a**2 + 10007 + 109*a in the form r + g*a**2 + p*a + k*a**3 and give p.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3726847672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*r = 28*r - 1075 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 20*f - 64. Let k(h) = 4*h**2 - 267*h - 534. Let w be k(-2). Give n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-22)\/(-102). Let q = -0.714 + 2.274. Let c = -8.44 - q. Is c <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**13*w\/w**(-1\/4))**(-1\/13)\/(w*w*w**(-1\/9)*w*w*w**(-4))**(9\/8) assuming w is positive.\nAnswer: w**(-109\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-15) + 129\/(-15). Let i = 13 + d. Suppose 0 = 4*a - 4*k - 96, 0 = -0*k - i*k. Calculate the remainder when a is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136672 divided by 4271?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14*q + 2. Suppose j - 3*j + g - 4 = 0, -4*g = 16. Let u(t) = -13*t + 3. Calculate j*b(v) + 3*u(v).\nAnswer: 17*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 - 32300*d**2 - 297581 with respect to d.\nAnswer: 8*d**3 - 64600*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/6*2*-1*197\/2758.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 15) in base 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -22 (c) -2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1419 and 129.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5228 and 71\/48100214.\nAnswer: 96200428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 40 (c) -3 (d) 7 (e) 0.32 (f) -0.3 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/924 and 51\/308.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -12\/1745?\nAnswer: -12\/1745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950973 a multiple of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619871964.\nAnswer: 2, 654967991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/5 (b) -5 (c) -1\/3 (d) -0.05 (e) 497\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2379 + 705 = -a, -a = 5*x - 5124. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 - -75. Is -1*(c + 4) - -1546 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6367870?\nAnswer: 2, 5, 43, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 9*o - 29. What is b(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13\/j)\/j*j*(j\/j**(5\/4))\/j*j*(j**(-3)*j)**45 assuming j is positive.\nAnswer: j**(-313\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 + -26. Let l(p) = 4*p**2 - s*p**3 + 10*p**3 + 0*p**3. What is the lowest common multiple of l(-2) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 10*w**2 - 12*w + 4. Let c(h) = 11*h + 73. Let z(i) = 21*i + 146. Let k(u) = 7*c(u) - 4*z(u). Let n be k(-12). What is o(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/35)*o)\/(o**(-1)\/o) assuming o is positive.\nAnswer: o**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/24 + (-4)\/(-6). Let u(d) = d**3 - 10*d**2 - 2. Let o be u(10). Which is the third smallest value? (a) 2 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(243) - (-3*sqrt(243)*4)**2 - (sqrt(243) + 1*sqrt(243)*-3 + sqrt(243))**2).\nAnswer: -70470 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3209 + -1260. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 3*l - 5. Let y be v(-5). Suppose -4*q = -y*i + 9, 3*q - 19 = 2*q - 3*i. Solve 0 = 4*t - o + 16, -2*t + 2*o = -t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5514200*i**3 - 333449*i?\nAnswer: -33085200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/28 and (-9)\/11*(-19)\/6.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*b**6 - 61*b**6 - 68*b**6 + 21*b**2 wrt b?\nAnswer: 1200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 + 6716*u + 6715 = 0.\nAnswer: -6715, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066601306.\nAnswer: 2, 41, 587, 22159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 23. Solve 0 = -3*u + 3*l + 3, l + 3 = -5*u - f*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.5. Which is the third smallest value? (a) u (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.83038 rounded to two dps?\nAnswer: 17.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 3*w + 25*w**3 + 30*w**3 + 3*w**2 - 55*w**3 + w**4 to f*w**4 + y*w**3 + u + b*w + x*w**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177581418 to the power of 1\/2, to the nearest integer?\nAnswer: 34316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -18. What is the third derivative of 6*t**2 + d*t**2 - 5*t**2 + 11*t**4 - 2*t**2 wrt t?\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 100, 198, 296, 394?\n\"Answer: 98*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -2*i + 1\/6*i**6 + 0 + 7\/80*i**5 + 11\/168*i**7 + 0*i**2 - 1\/24*i**4 + 0*i**3. Factor b(u).\nAnswer: u**2*(u + 1)**2*(11*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/5, -4\/5, -31, -24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.74034944 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -26994, 4, -2, 2, 0 in ascending order.\nAnswer: -26994, -3, -2, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 6*p + 3. Let z be l(0). Suppose z*s + 24 = 5*s - w, s - 3*w - 12 = 0. What is the highest common divisor of 30 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + i)*(-6*i + 5*i - 7*i)*(7 + 7 - 6)*(0*i**2 + 3*i**2 - 6*i**2) to g + y*i + p*i**3 + q*i**2 + w*i**4 and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*219.7.\nAnswer: 109.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**5 - 13785*i**4 - 228663*i**3 - 978681*i**2 - 326463*i + 437346 = 0?\nAnswer: -9, -7, -1, 1\/2, 2314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410520 divided by -11.\nAnswer: -37320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*v + 3*v. Let j = v - 6. Is (-6)\/8 + 175\/j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 2)*2 - 1. Suppose -4*z + j + 236 = 0, -2*z + j - 286 = -7*z. Suppose f - 2*f = g*d - z, 26 = d - 3*f. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 37376?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/3528*28)\/(-3*111\/(-162)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3031*v**3 + 1962*v**3 + 1583*v**3 + (2*v**2 - 2*v**2 - 2*v**2)*(-3 + 3 - 2*v).\nAnswer: 518*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9089029.\nAnswer: 79, 103, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003669631698 to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-21)*-1)\/(-203 + 202)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1108, -4, 0.32 in ascending order.\nAnswer: -4, 0.32, 1108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d - 39. Sort 0, 2, d.\nAnswer: d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/3 + 710*j**2\/3 - 5584*j\/3 + 11104\/3 = 0. What is j?\nAnswer: 4, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 23*r**2 - 33*r - 243. Let k be l(-22). Which is smaller: k or 24\/79?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.8+-68759118\nAnswer: -68759135.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 8}. Give prob of picking 3 i.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002252 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4082786mg to tonnes.\nAnswer: 0.0000000004082786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*a**2 + 36*a**2 - 5*a**3 + 105*a**2 - 70*a**2 + 0*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(2 + (28\/2 - 16390\/2086)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(19) + 5 - sqrt(19))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -325*u + 354*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 20 = 5*y, y = -y + 2*i + 20. Let z(h) be the second derivative of h**3\/6 - h**2 - h. Let a be z(y). Solve 5*d + 18 = a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 5*a**2 - 5*a + 6. Let w be m(6). Let l be (-28)\/(-16)*(2 + 4 + 2). Suppose -l*h = -w*h - 20. What is the highest common divisor of h and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let y(w) = w**2 - 3. Let d be y(3). Let r = d - 2. Solve 5*i + m - 27 = 0, -3 = r*i - q*m - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/588504 and 25\/12204?\nAnswer: 5296536","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - z**3 - 3*z**3 + 3*z**3 + 7 + 4*z - 2*z**2. Let u be c(-4). What is the greatest common factor of 33 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 1\/5, -46, -1\/8, 0.08?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*f**3 - 1\/4*f**5 + 5\/2*f**4 + 0 + 14*f**2 + 0*f.\nAnswer: -f**2*(f - 14)*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -928 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 3*u + 310. Let l be 36\/96 + (6\/16)\/(-1). Is 21 a factor of v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 359135023 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 151715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 23\/6.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 15*i - 68 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3158*z + 56733 = 993*z - 49645 + 32768 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 5*k + 7. Let q(r) = -2*r**3 - 3*r**2 - 2*r - 3. Let h be q(-2). Let v(y) = -5*y**2 + 4*y - 6. Give h*v(l) + 4*c(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2520.4 + 2512.4. Let q be ((-1)\/5)\/((-4)\/10). Put 0, q, -3, p in descending order.\nAnswer: q, 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 9722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/45)\/(70\/25).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*z + 144*z = -118*z. Is 7\/2624 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 35 - 125. Suppose q - 6*q = -x. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (275\/(-33))\/(1\/(-93)). Suppose 2*y - r = -3*y - 5*d, 620 = 4*y - 3*d. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 13 + 5. Let u be 2 + (0 + b - -2). Suppose 4*j - 16 = 2*j. Solve -u*p = 2*p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -110 - (31 - (3 + -12 - (7 - 36)))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*g + 53*g - 837*g - 154*g.\nAnswer: -853*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -y**5\/80 + 151*y**4\/2 - 182408*y**3 + 220348864*y**2 - 3*y + 243. Factor f(o).\nAnswer: -(o - 1208)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 21 = 234. Let k = -3 + f. Solve -4*l - k = 3*o, 3*o + 5 - 36 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12439 + -12435. Solve -4 = -4*t + h*m, 7 = 2*t + 2*m - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttctttcttctttt. Give prob of picking 3 t.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -17411.216689236?\nAnswer: 17416.216689236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 1. Let t(s) = -2*s + 8. Let q(y) = 6*n(y) - 2*t(y). List the prime factors of q(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32011997.\nAnswer: 67, 477791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*j - 222*j + 126*j - 240*j in the form o*j + f and give o.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/99 and 8\/59301.\nAnswer: 59301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1112?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2))**(-14))**(-25))**(4\/7) assuming u is positive.\nAnswer: u**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 12:05 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -26*c - 7. Let w be g(-5). Suppose -5*r = 3*q - 697 + 160, 190 = q - 2*r. Let p = q - w. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.046 + 4.754. Let g = -0.2 - t. Let d be (-10)\/(-6) - (3 - 1). Put g, d, -4 in descending order.\nAnswer: d, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1490947.\nAnswer: 263, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 175*h*k*r + 36460760*h*r + 70243*k*r wrt k.\nAnswer: 175*h*r + 70243*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 4*w**3\/3 - 12*w**2 - 64*w - 25. Determine r, given that n(r) = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 - 56*m**2 + 56*m**2.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**2 + 2292 + y**4 - y**2 - 17667 - y + 6806*y**3 wrt y?\nAnswer: 4*y**3 + 20418*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Let w(s) = -s**2 - 3. Calculate c(w(t)).\nAnswer: t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4321 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -56*f + 50*f. Solve -f*d + 3*u - 7 + 1 = 0, -3 = d + 4*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2385, -27, -2, -4 in decreasing order.\nAnswer: 2385, -2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137572 to the power of 1\/2, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -13056523740692?\nAnswer: 13056523740694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 5\/(35\/(-2)) + 172\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(630)\/(1*sqrt(1000)))\/(sqrt(9) + sqrt(9) + (-2*sqrt(90) + sqrt(90))\/sqrt(10) - -6*sqrt(36)).\nAnswer: sqrt(7)\/130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281196371.\nAnswer: 17, 19, 870577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13 and 1967?\nAnswer: 1980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 50291*h + 687. Let l be t(43). Round l to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.63, 0.4, 2\/9, -52?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29817623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 516 a factor of 220848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 5 (b) 1\/25 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 - 294. What is the lowest common multiple of v and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6151248 less than 6151137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 36063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1. Let o(i) = i - 6. Suppose -24*c = -27*c - 18. Let s(v) = c*p(v) - o(v). Let w(d) be the second derivative of -2*d**3\/3 - d. What is w(s(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 + 2*f**2 - 2. Let d(m) = -m**3 + m**2 - 1. Give -2*d(t) + i(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5691?\nAnswer: 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21653*y + 23379*y = -179504 for y.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -18979 + 247*i**2 + 18979. Let w(r) = 3*r. Determine w(p(m)).\nAnswer: 741*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2 + -1 - 0). Let p(c) = -3*c - 41. Let m be p(-15). Solve 0 = 5*h + 4*v - 28, 0*h + m*v - o = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 80 = -8*n. Which is greater: n or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**7\/35 + h**6\/120 + h**5\/60 - h**3 - 67*h**2. Find the third derivative of z(q) wrt q.\nAnswer: 144*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2226626298 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 7 (c) 0.0053 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 416271657 + -4?\nAnswer: 416271653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*h + 2*h - 39469 = 0, -h = p - 13158. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*l - 2*g, -49*l - 115 = 61*l - 99*l + 4*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 360012*n**2 - 1440112*n.\nAnswer: 4*n*(n - 4)*(n + 90007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 435 - 31?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.093204 and 21.\nAnswer: -1.957284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.53 + -84.47. Let i = 49 + z. Let q = i + 37.00000074. Round q to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) 2\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -4, -77\/6, 2\/19 in ascending order.\nAnswer: -79, -77\/6, -4, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 1:31 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - -5*sqrt(105)\/sqrt(3))\/((sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270226233 divided by 3?\nAnswer: 90075411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/101 in 0.42, 1\/4, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 150\/140*168\/120. Factor -j*s**2 - 30*s - 150.\nAnswer: -3*(s + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-330)\/(-5))\/(-11) - -10. Put a, -0.5, 2, 4\/7, -0.3 in increasing order.\nAnswer: -0.5, -0.3, 4\/7, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*i)*(0 + 1 + 3) + 1 + 0*i - 3 + i.\nAnswer: -7*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -128 + 4?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -21222022012?\nAnswer: 21222022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 5:38 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 15*u - 13. Calculate s(17).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/5 + 251*j**4\/5 + 2730*j**3 + 9436*j**2\/5 - 209656*j\/5 + 53664 = 0.\nAnswer: -172, -78, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 517 and 282?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -56474.53 to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 4*t**2 - t + 1. Let x be k(4). Let y = 16 + -11. Which is the second smallest value? (a) y (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/(-104)*(-2 - 2\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nujs when four letters picked without replacement from {q: 7, n: 4, j: 2, u: 1, s: 2, g: 4}?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/1660541 or 0?\nAnswer: 7\/1660541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2 = -r, -48*r + 45*r = -21*z - 99 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 394540?\nAnswer: 1183620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 8*v + 13. Suppose -4*x + 54 = 5*x. Let m be b(x). Solve 5*n + 4 = -m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-1)\/g))*g)**49*(g**(-2\/5))**8 assuming g is positive.\nAnswer: g**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3782, 15025, 33722, 59873?\nAnswer: 93478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 253 = -232. List the prime factors of c.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143, -148, -153?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/93, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822695?\nAnswer: 5, 181, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 633183095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {f: 3, q: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((3\/2)\/(27 + -8 + 2631\/(-138))).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -425 - 427*z**2 + 851*z + 339*z**3 - 683*z**3 + 345*z**3.\nAnswer: (z - 425)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/12 - l**3\/2 - 83*l**2 - 11. Let z(p) = p - 2. Calculate -5*a(b) + 8*z(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17014*i - 34090*i + 17079*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 372162.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -85639.23 to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, p: 3}. Give prob of sequence pp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -10. Which is the nearest to 0.1? (a) m (b) -0.2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n + 34. Let t be f(5). What is the units digit of ((-9)\/t)\/(6\/332)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.8 + 44.1. Which is the closest to 2? (a) z (b) -2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -29*k**2 + 36*k**2 + 112896 + 1344*k - 3*k**2 = 0.\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.2717.\nAnswer: -0.02717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 3:18 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 652971223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/sqrt(4).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -11*v**8\/56 + 61*v**4\/24 - 42*v**2 - 2*v. What is the second derivative of a(l) wrt l?\nAnswer: -1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (249375*r - 249375*r + 20*r**2)*(-3 + 2*r + 3 + 2*r - r - 3*r + (-4*r - 3*r + 6*r)*(-2 + 3 + 0) - r + 0*r - r).\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 113222794*j. Let x(d) = 2*d**2. Calculate x(b(c)).\nAnswer: 25638802162332872*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = 5*r. Suppose 0 = 4*a - 15 - r. Suppose a*u - u - 2*p = 1419, u = -p + 468. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n - 24 = 3*o, -3*o + 32 = -4*n. Let v be (n\/6)\/((-38)\/(-3)). Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4641363*q**3 + 71619*q**2 - 2*q wrt q?\nAnswer: -27848178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - 3*(2*sqrt(7) + sqrt(7)))*5 - ((sqrt(84) - sqrt(21))\/sqrt(3) - sqrt(7)*-1*1))**2*-3.\nAnswer: -37044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h, 5*h = -m - 0*h + 60. Calculate the remainder when m is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 764512 + -420812. Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 10 = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((270\/100)\/(-9)*(-1170)\/135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, -8, -28, -20, 22?\n\"Answer: h**3 + 5*h**2 - 64*h + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b - 16. Suppose -14*a = -116 + 130. Sort 4, 2, b, a in decreasing order.\nAnswer: 4, 2, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -2667?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = 3*b + b, -3*l - 2*b = -10. Solve -p = -l*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-2 + (-28)\/(-8)) + 44?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 >= -23\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79731*b**2*c**3 - 2*b**2*c**2 - 6*b**2 + 243*b*c**4 - 6*b*c**2 - 182*b + 15*c**2 - 5 wrt c.\nAnswer: 478386*b**2 + 5832*b*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4*14\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -36, -55, -74, -93, -112?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 2 = -3*k, 3*k - 6 = 3*i. Let f be ((-1)\/(-2))\/(8\/(-32)) - -2. Solve -v - 2*l + 11 = f, k*l - 20 = 2*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 1\/5, -0.2, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62.2 - 11. Let o = -3020 - -3093. Let s = o + z. What is the biggest value in 8\/9, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 3, v: 5, p: 1}. What is prob of sequence jz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 y when four letters picked without replacement from ddyyyydydydwdyydd?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from {e: 4, t: 2, j: 2, n: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**5\/60 + k**4\/4 + 3*k**2\/2 + 1. Let b(v) be the second derivative of q(v). What is the second derivative of b(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))**2 + sqrt(3))*-1 - sqrt(3) - -2*sqrt(48).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Let x(s) = 5*s + 4. What is 5*q(j) + x(j)?\nAnswer: 10*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -9 (b) -926 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4007032 divided by 4\nAnswer: 1001758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-324)\/810 + (-451)\/(-15) + (3 + -7)*2.\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3 - 3*z**2 + 266*z + 5*z**2 - 262*z - z**2. Determine n(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 8*n + 4. Suppose 0 = z - n*z + 27. What is the smallest common multiple of z and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139830 and 89826792?\nAnswer: 449133960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + 1188957.1.\nAnswer: 1188946.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*v + 160. Let b = -7 + v. Let k be (-12)\/(-18)*b\/2. Solve s + k*s = 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 8*z + 6. Let o = -7 + 15. Let t be v(o). Suppose 4*s = -5*q + t, 0*s - 2*s - 5*q = -30. Solve 0*g - 5*g - s = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.164106169 less than 968?\nAnswer: 960.835893831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus -487173.2386474?\nAnswer: -487172.0386474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*u - 17*u - 1064 = 3544 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 4*l**2 + 7 + 1 - 10.\nAnswer: 4*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 4. Let o be u(1). What is the second derivative of d + 47 - 14*d**o - 22 - 25 wrt d?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 4*k - 16. Suppose k*h - 5 = -h. Is h greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 25 + 11 - (-30 - -18).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, m: 10}. What is prob of sequence mr?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 48.5, 2, -4, 14\/31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/2 + 2424*d**4 + 2888606*d**3 - 120449616*d**2 - 1204227232*d + 2867105280 = 0.\nAnswer: -2444, -10, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9078 - 0.0922. Let d(l) = l**2 + 5*l + 5. Let w be d(-3). Which is the closest to 8? (a) w (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0.1041\nAnswer: 2.1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 1.037\nAnswer: -1.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.9 - 2.8. Let b be (-5)\/((-15)\/(-51)) + 5. Is b not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270 + 274. Put b, 3\/2, -5, -2\/17 in decreasing order.\nAnswer: b, 3\/2, -2\/17, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2156888*k**3 - 142*k + 196.\nAnswer: -12941328*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -854929*q**3 + q - 46614959?\nAnswer: -2564787*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, -7, -56, -161, -340?\n\"Answer: -3*t**3 - t**2 + 13*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 14 = 3. Let j = -28987 + 29003. Solve -9*w = -j - c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5\/19 - 2*f**4\/19 - 14*f**3\/19 + 2*f**2\/19 + 12*f\/19 = 0?\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58\/7985 or -1?\nAnswer: -58\/7985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - 5638 = -19350. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -80 + 81. Let r be 1\/(-1*(-2)\/4) + g. Let t = -16 + 22. Sort t, r, -2 in descending order.\nAnswer: t, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t = 86, 2*t + 4 = -0*t. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65312 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -26*f**2 + 10*f + 1. Let t(k) = 11*k**2 - 5*k + 2. Give 9*t(o) + 4*u(o).\nAnswer: -5*o**2 - 5*o + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t. Suppose -59*z - 3*z - 6*z = 18*z. Let h(a) be the first derivative of 1\/3*a**3 + 0*a + 8 + z*a**2. Calculate h(c(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiyiiyiiiyiiii. What is prob of sequence iyy?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9400, -19107, -28814, -38521?\n\"Answer: -9707*d + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -7.25 (c) -0.11 (d) 3 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - -5*(sqrt(17) + (sqrt(17)*-2 - sqrt(17)) + sqrt(17))) + -2.\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 8*v = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 470*o - 90. Let b(a) = -94*a + 18. Let p(d) = 14*b(d) + 3*r(d). Does 21 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*i*v**3 - 12*i*v**2 + 175*i + 22*v**3 wrt v?\nAnswer: 1068*i + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393358048.\nAnswer: 2, 439, 28001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93936*f**3 + 0*f**2 + 94237*f**3 + 0*f**2.\nAnswer: 301*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20559 and 792?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1260305.852 and 0.5?\nAnswer: 1260305.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -905 + 525. Is -381 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1584264?\nAnswer: -1\/1584264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -40*a - 36. Let z be g(-1). Solve 2*m + 2*q + z = -2, 2*m + 1 = 3*q for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376324 divided by 4?\nAnswer: 344081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/9 and 261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/3)*11672\/188211\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 2:39 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 84?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**2 + 10*r. Let o(y) = 128 + 11*y + 187 - 315. Give o(h(i)).\nAnswer: 99*i**2 + 110*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3477978421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 15) in base 10?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:12 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 6*r**2 - 6*r + 6. Suppose 5*u + 2*a = -3*a - 60, 2*u = a - 9. Let z be v(u). Find the common denominator of z\/(-2) - 189\/(-24) and -41\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73247041459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) -5 (c) -126 (d) -2 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m - 18*m + 12*m - 10*m to j*m + a and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (33 + (25 - 48) + 17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3, f: 1, e: 2, m: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -37. Let o = 23 - i. Is 0.17 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143177239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/3*3\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13597487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13373, -59941, -137553, -246209, -385909?\nAnswer: -556653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8281195.\nAnswer: 5, 13, 127403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2*l**2 - 37*l**3 - l + 10 + 34*l**3 + l**4 in the form k*l**4 + g*l**2 + v + a*l**3 + s*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -10. Let u = p + 2. Sort u, -1, -2 in ascending order.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-4*(-15)\/(-6). Suppose 2*b = -2*i + 148 + 10, -i = -3*b - 71. Let t = i + z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4408 and 31312?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -259 smaller than -266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 34 - 21 - 8*g as n + t*g and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 1143440221?\nAnswer: 1143440225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 19 - (10 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 3*q**4 + 2*q**4 + (21*q**2 + 3*q**2 + q**2 - 4*q**2 + 0*q + 0*q + (-3*q + 3*q - 2*q)*(-1 + 1 + q))*(2*q**2 - q**2 - 3*q**2).\nAnswer: -33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 0)*5 + (sqrt(475) - (4 + sqrt(475)*-1 + sqrt(475)) - sqrt(475) - sqrt(475)) + 0.\nAnswer: -4 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 - 7 = 0. Sort -3, q, 9 in increasing order.\nAnswer: -3, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, 9, -20, -3 in descending order.\nAnswer: 15, 9, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1078\/(-294)*((-4)\/(-6))\/(22\/99)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 - 0.63. What is the second smallest value in 0.4, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 298 - 301. What is the closest to -5 in -2\/11, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18042517811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*r**3 + 39*r**3 - 37*r**2 - 265*r**2 + 41*r**3 + 32*r**3.\nAnswer: r**3 - 302*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12285, 12316, 12347?\nAnswer: 12378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3265 + 0?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 15 = -3*p. Let h be 5\/((-6)\/p - -1). Let c = 92\/3 - 31. Sort 0, h, c in descending order.\nAnswer: 0, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36426 + 31258.9. Round g to the nearest ten.\nAnswer: -5170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 143. Let i = 99 - q. Solve 5*o + 0*g + g + 14 = i, -4*o - 13 = -g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -197 (base 10) to base 7.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**3 + 3*t**2 + t. Let c be i(3). What is c rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29761148 + 29761158 + 13*p - 59522306.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 + (-93)\/33. List the prime factors of ((-2)\/(-5))\/(g\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*16\/(-24). What is the second derivative of 17*g + 1 - k - 30*g + 10*g**3 wrt g?\nAnswer: 60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 + b + 1. Let p be u(3). Solve 0 = -4*q - 16 + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878083978 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 8 - (-8 - -2)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -377, -607, -891, -1247, -1693, -2247?\nAnswer: -2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 1464?\nAnswer: 19032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 43*p**2 - 39*p + 32. Give v(-22).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((8\/(-36))\/(7 + (-58)\/(-6)))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 27. Let l(i) = -53*i + 323. Let y be l(6). Solve f*c = 16*c - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11163 and 0.453.\nAnswer: -11162.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 1122 = -31*s. Calculate the highest common factor of s and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 24*z + 48. Does 48 divide g(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b3 (base 13) to base 3\nAnswer: 12102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*u + 3*u, 0 = -3*s + 5*u + 295. Let r = -105 + s. Let c(a) = 3 + 2*a**2 - 5*a**2 + 4*a**2. What is c(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 224394.1g?\nAnswer: 224.3941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bdbwwbbrwddwfrdbddbd.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/33 - 574\/(-11). Let z = x + -30. Let g be 26316\/(-14) - z\/77. What is g rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(16\/120 - (-28)\/15). What is the tens digit of (-5)\/u*256432\/310?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/7)\/(q\/q**(-7))*q*q**10*q*q**(-6\/5))**(-8\/11) assuming q is positive.\nAnswer: q**(-664\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppnppppppppnnppppnp. Give prob of picking 1 n and 3 p.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 3046?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3252 - -3253. Let z = -0.1 + 0.09. Which is the closest to 1\/3? (a) s (b) -2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -691161571*h**3 - 410281505*h wrt h.\nAnswer: -4146969426*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 706*m - 501*m - 19*m**2 - 205*m. Let z(v) = -44*v. Calculate z(b(j)).\nAnswer: 836*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65335, -65260, -65189, -65122?\n\"Answer: -2*z**2 + 81*z - 65414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/12 and 53\/86.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020123213 (base 4) to base 13.\nAnswer: -a5066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 + 3. Let s be u(0). Suppose -s*h - 9 = -4*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from sesbbjejjjea.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/2 - 1824*g**2 + 141237*g\/2 - 68796 = 0.\nAnswer: 1, 39, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 650 by 325.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, -2\/5, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Calculate the remainder when (-1 - g)\/(2\/(-16)) is divided by -1 - -8 - (-3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-420) + ((-63)\/30)\/7. What is the nearest to -1 in 4, 2\/405, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -0.1 (c) -231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 6490.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 305*n + 32053 - 45185 - 47868. What is the remainder when 6598 is divided by n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -118 + 3424\/29. Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-6)*2052000\/(-12). Round d to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - (-88)\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (12 + -40)) + 5 + 0 + -6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-5)*f**(-2)\/(f*f*f**(-1\/6)*f*f) assuming f is positive.\nAnswer: f**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 - (-2)\/(-6). Let m(x) = o*x + 1 + 0*x + 15*x**2. What are the prime factors of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Let w = 35 + -17. Calculate the remainder when ((-6)\/g)\/(6\/(-208)) is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, q: 2, d: 7}. What is prob of sequence qqdd?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1028*c**2*d**2 - 315*c*d**2 wrt c.\nAnswer: -2056*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13830.\nAnswer: 2, 3, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 713 + -682. Suppose -3*s - 4*a = 2*s + z, -3*a - 6 = -2*s. Sort -0.1, s, 0.054 in increasing order.\nAnswer: s, -0.1, 0.054","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37406 and 17051.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 118 in 41\/8, -0.32, -0.1?\nAnswer: 41\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 493*a - 743*a + 404*a - 2 + 2 + 3*a + (8 - 19 + 5)*(3 - 3 + 2*a) to the form f + r*a and give r.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80, 71, 58, 41, 20?\n\"Answer: -2*j**2 - 3*j + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - a = -8, -4*c - 5*a = -6*a - 7. Solve 2*v - 6*v = -3*m, 0 = -v - c*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*5\/(-30))\/((-16)\/108*12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -20. Let d(a) = -2 + a**2 - 6*a + 4*a + g*a**2 + 1. Let z be d(-1). Solve 0 = 2*l - 4*o + 6, -5*l + 2*o - o = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/29))**(-1) assuming h is positive.\nAnswer: h**(-2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) -0.6 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-144)*-3*20\/(-875)*63\/6.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1724 is divided by 124.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 212, 662, 1518, 2912, 4976, 7842?\nAnswer: 11642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0334 - -12.1634. Let r = q + -2.73. Put 0.5, r, -0.5 in descending order.\nAnswer: r, 0.5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -22*w + 0*w**2 - 5\/2*w**3 - 1. Let g(c) = c**2. Give z(g(h)).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 254537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 448380*u - 222 - 448375*u - 63*u**4 - 108*u**4 wrt u?\nAnswer: -684*u**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 120*k**2 + 600*k - 5. Let q(c) = 28*c**2 + 590*c + 2*c**3 + 152*c**2 - 7 + 310*c. Let i(h) = -7*o(h) + 5*q(h). Determine u so that i(u) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -39*v + 41. Let k(x) = -209*x + 204. What is -2*k(n) + 11*y(n)?\nAnswer: -11*n + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11059*w = 11064*w - s + 10, 4*w = 2*s - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.102 + 30.150826. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -327. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 232, 536, 962?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -1503\/145?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37857644?\nAnswer: 2, 11, 29, 29669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 7}. Give prob of sequence jjjj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -25, -1, 9, 0, -107 in descending order.\nAnswer: 9, 0, -1, -4, -25, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 14*w**2 + 9*w - 12. Let s be r(-15). Let p = s - 16. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-72))\/(54\/(-432))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17094 divided by 1221.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13691940 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Sort 0.2, z, 0.1 in descending order.\nAnswer: 0.2, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/94666123?\nAnswer: -2\/94666123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 26872254?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26057902.54000692 + -26057904. Let t = 1.46 + l. What is t rounded to 7 dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*c**2 - 1432 + 142 + 758*c**2 + 365*c**2 wrt c?\nAnswer: 2616*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - -116. Suppose 16 - c = 11*y. Let a be (2\/y)\/((-4)\/(-12)). Are a and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 205053 - -242?\nAnswer: 205335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:16 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -456 + 448. Let b be (146\/18 + m)*3\/2. Factor 0 - b*v**5 + 1\/2*v**3 - 2\/3*v - 1\/3*v**4 + 2\/3*v**2.\nAnswer: -v*(v - 1)**2*(v + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 + 10*k + 9. Let j be o(5). What is the greatest common divisor of 136 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/2 - 3*q**2\/2 - 3*q. Let n be m(2). Let j be (n\/(-2))\/((-12)\/16). Solve -j*b + 6 = 2*p, -5*b + 11 = p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2 + 57\/(-38). Suppose 0 = -b*g + 1 + 8, -g - 313 = -4*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) - 418\/(-312). Let i = q + -12\/13. Let u = 0.4 + -4.4. What is the closest to 1\/4 in u, i, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {x: 2, u: 1, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 2*k**2 + k + 2. Let i be s(-2). Suppose 4 = 4*u - i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3875806 and 1023?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**8\/1680 - m**7\/210 - m**6\/120 - 5*m**3\/2 - 36*m**2. Let a(x) be the first derivative of p(x). Factor a(i).\nAnswer: -i**2*(i + 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13826.2 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 140.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170 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: Expand (-c + 2 + 0 + 4*c)*(0*c + 3*c - 4*c - 2).\nAnswer: -3*c**2 - 8*c - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1134*h + 53*h - 207*h - 774*h + 161*h as q + t*h and give t.\nAnswer: -1901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve -308*u + 310*u - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 562859 divided by -1\nAnswer: -562859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -383308 - -545569. Let o = -162250.39948 + s. Let t = o + -10.6. Round t to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4266\/(-1458) - ((-10)\/(-27))\/5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 + 10*f**2 - 9 - 51*f**2 - 2*f**2 - 2*f**2 + 2*f**2 + (2*f - 1 + 1)*(3 - 3 - f).\nAnswer: -45*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 109*k**2 - 116*k - 655. Let r be m(-110). Let j = 3.9 + 0.1. Which is the closest to 0? (a) -8 (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -117054*a + 1989919. What is h(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 20*z**2 + 46*z**3 - 71*z**3 + 26*z**2 + 15*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -313784*p - 3858. Let b(v) = -651*v - 8. What is 1929*b(n) - 4*r(n)?\nAnswer: -643*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*r = -0*r + 405 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*p + 38*p - 16*p**2 + (-2*p + 1 - 1)*(p + 2*p - 4*p) + 590 - 3*p - 590 + 13*p**2.\nAnswer: -p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24666\/35 - 0 - (-33)\/(-55). Let g = -703 + s. Factor -g*t + 2\/7*t**2 + 8\/7*t**3 - 2\/7.\nAnswer: 2*(t - 1)*(t + 1)*(4*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.53739\nAnswer: -3.07478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 424731 less than -0.02?\nAnswer: -424731.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.66 in 0.3, 33, 3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b0887 (base 13) to base 4.\nAnswer: 21230330200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 414, 825, 1236?\n\"Answer: 411*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26656593?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -10*d - 26. Let c be a(7). Suppose -2*w + 152 = -w. Let q = c + w. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.28 + 1.28. Let x = 382.02 + -382. What is the nearest to 2 in x, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4296716*q**4 + 126*q**2 - 5*q - 937.\nAnswer: -103121184*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:03 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -19*p**6\/120 - 5*p**4\/24 + 32*p**3\/3 + 62. Let n(a) be the third derivative of q(a). Differentiate n(f) with respect to f.\nAnswer: -114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, -0.02, 1\/23, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f - 50 + 34. Let s(v) = 11*v + 19. Let l be s(f). Solve -4*x - 4*t + 16 = 0, 3*x + 4*t + l = 19 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -23395, -23398, -23401, -23404, -23407?\n\"Answer: -3*r - 23392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25*o + 136*o + 123*o)*(-5*o**2 + 5*o**2 + 2*o**3 + o) in the form b*o**2 + r*o**4 + j + i*o + f*o**3 and give r.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 266821959?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z + 15 = 0. Let h = 8 - 6. Which is the closest to -0.1? (a) h (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -4*c + 3 + 1\/2*c**2. Let y = -23 - -23. Give o(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:56 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004425 rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:37 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p - 479*p**2 + 1 + p + 218*p**4 + 485*p**2 - 13*p**4 + p**3 to d*p**4 + s*p**2 + j*p**3 + z + t*p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -34. Let n be (-3)\/(-10)*w\/(-24). Which is the second smallest value? (a) n (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**3 - j**2 + 4*j - 84. Let t(q) = -5*q**3 - 2*q**2 + 6*q - 84. Calculate -3*p(w) + 2*t(w).\nAnswer: 2*w**3 - w**2 + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*m + 45, 2*m = j + m - 45. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*o + 3*x, 8*x = 4*x - 4. Suppose o*y = -2*y + 252. Does 42 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.009, -0.2, 5, 180?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 22424?\nAnswer: -22434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, 5, 25?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 49*o**2 + 511*o + 249. What is d(-10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410824150.\nAnswer: 2, 5, 11, 29, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(((-2)\/(-5))\/2*1). Let t(b) = b**2 - 22*b + 43. Let m be t(z). Differentiate -m*v + 0*v + 2 - 2*v with respect to v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 271, 1945, 6429, 15127, 29443, 50781?\n\"Answer: 234*r**3 + r**2 + 33*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03346 + 0.2.\nAnswer: 0.23346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 386527 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (sqrt(11) - sqrt(33)\/sqrt(3)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1271626000 to the nearest 1000000.\nAnswer: -1272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(-1 + 3 + -2 + -2*sqrt(108) + 3))**2.\nAnswer: -8820 + 1440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 5. Let q be u(9). Suppose q*d - 4*c = -8, -8 - 2 = 2*d - 5*c. Suppose d*o = o - 22. Calculate the remainder when o is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2 - 7.8. Let v = o - -15.0000037. Round v to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -2*x, -4*c = -1598*x + 1600*x - 94 - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.9 + -31.1. Let w = r - -0.2. Let g = 42 - w. What is the third biggest value in -1\/3, -0.6, g?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1 - 188\/(-186)). Let x = t + -99. Let r be (-22)\/x - ((-8)\/(-3) + -3). Solve 3 - 15 = r*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -799.64 - -849. What is g rounded to 0 dps?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 1432\nAnswer: 4\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from {q: 1, w: 2, j: 2, z: 6}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 127.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.089 + 0.011. Which is the nearest to q? (a) 1 (b) -2\/3 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 810?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153256 and 246.\nAnswer: 18850488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(225) + -5*sqrt(225)*3 + sqrt(225))\/((sqrt(60) + sqrt(3840))\/sqrt(12)))**2 + 4.\nAnswer: 872\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*i - 55 = 0, 4*i - 75 + 162 = -3*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*p + 11. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(700) + -1*sqrt(700) + 2)**2*2*-1*3 + 2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*d + 3*h - 1242, -d - 252 = 3*h. Let z = -220 - d. Calculate the highest common divisor of 58 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1708 - 1175. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/(3 + 4) - -664.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**3 + 11. Let b(k) = k**3 + 1. Suppose 0 = -4*d + 6*d - 4. Determine d*v(j) - 22*b(j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3011002510.\nAnswer: 3011002511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -353*o**4*w - o + 10*w + 1 wrt o.\nAnswer: -1412*o**3*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-17 - -6)\/((-5)\/5) and 393?\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 621579.7 millilitres?\nAnswer: 621.5797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d + 9. Let w(m) = -284*m**3 + 2*m**2 + 484*m - 18. Let n(i) = w(i) + 2*y(i). What is the third derivative of n(z) wrt z?\nAnswer: -1716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*a**3 - a**3 + 2*a**3)*(1 + a - 1 + (2*a + 0*a - 3*a)*(-2 - 2 + 6)) as r + w*a**3 + p*a**4 + z*a + j*a**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 6) to base 10\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*t + 480, 2*y + 3*t = 4*y + 335. Let n = y + 183. Calculate the least common multiple of n and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 14. Suppose 2*v + a*g - 4 = 0, 2*v - 4*g - g = 24. Is 7 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.4 times 0.3?\nAnswer: 16.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186955800 divided by 10200.\nAnswer: -18329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 9*g + 2. Let k be b(9). Suppose -6 = -2*l, k + 3 = -2*i - l. Sort -0.2, 2\/21, i.\nAnswer: i, -0.2, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 23*f + 129. Calculate g(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)\/p**(-2\/9)*((p**(-2\/9)*p)\/p)\/((p*(((p*p\/p**(-1\/3)*p)\/p)\/p)\/p)\/p) assuming p is positive.\nAnswer: p**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, n: 16}. What is prob of picking 1 q and 3 n?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42864 >= 42853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 28 + 257*y**3 - 1 + 24 - 204*y**3.\nAnswer: 53*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 5*h)*(-3*h - 3*h + 5*h) + (h - 2*h + 2*h)*(1 - 2*h - 1) + 9*h**2 + h**2 - 2*h**2.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3542, 14410, 32606, 58130, 90982?\nAnswer: 131162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 s when three letters picked without replacement from {r: 2, i: 4, s: 8}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b46 (base 15) in base 8?\nAnswer: 22113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 994278 and 50.\nAnswer: 24856950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + q + q)*(5*q - 2*q + 7*q) to the form p*q + y + o*q**2 and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*h = -753, 2*t - 416 - 94 = 4*h. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*(5 + (sqrt(19) - (sqrt(209) - 1*sqrt(209))\/sqrt(11)) - (sqrt(2736) - ((sqrt(2736) - -2*sqrt(2736)) + -5))))**2.\nAnswer: 47503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -6*r**2 + 1\/3*r**3 - 271 + 28*r. Determine u(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/4))**36*((m\/(m\/(m**2*m)))\/m)**(-27)*(m**9*m)\/((m**(-1\/6)*m)\/m)*(m**0)**(-7\/5) assuming m is positive.\nAnswer: m**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-7 - 2) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*o + 23 - 23)*(3*o**4 - 2*o**4 + o**4).\nAnswer: 90*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117356 is divided by 58649.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127.17 - 127. Let b = 26 - 24.83. Let c = b - h. Sort 1\/4, c, -3, -0.3 in descending order.\nAnswer: c, 1\/4, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclclllccllc. Give prob of picking 2 c.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*f + 4437 - 13307 + 4271 + 4347 in the form k + t*f and give k.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*c**2 + 1043*c**2 + 6 - 6 + 0)*(-21*c + 7 - 4 + 18*c).\nAnswer: -3282*c**3 + 3282*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7236095969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, 6, 18, 22, 12, -18?\n\"Answer: -g**3 + 5*g**2 + 6*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -o + r + 454, -3*o - 5*r + 1836 = 0. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 336*h.\nAnswer: -h*(h - 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8113 - 4663 = -793*n - 16375 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2098 + 2123 + 1 + -15\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) - (2*sqrt(7) + sqrt(7))**2 - sqrt(7)) + -3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 2, a: 6, n: 3, h: 1, y: 1}. Give prob of sequence ff.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g - 7. What is f(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 70068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 811 = -3*l + 5*l, -5*l + 2047 = 4*q. Suppose -s = -3, -3*v - 4*s + l = 2*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*r + 21 = -33*r - 3*v, 6 = -3*r - 5*v. Let m(j) be the first derivative of -7 + j**5 - 5*j + 5\/2*j**4 - 5*j**2 + 0*j**r. Factor m(f).\nAnswer: 5*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, m: 7}. What is prob of picking 1 m and 2 n?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/735)\/((-1)\/165*-10)?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -177 - 9*h**2 - 7*h + 55 + 57 + 58. Let r(p) be the second derivative of 3*p**2 + p + 0 + p**3 + 2\/3*p**4. Determine -7*r(u) - 6*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(396) + 1)*-4 + (sqrt(11) - (sqrt(1584) + 0 + sqrt(11))) + 3.\nAnswer: -36*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*b**4 - 47316*b**3 + 298684*b**2 - 601980*b + 392400 = 0. Calculate b.\nAnswer: 5\/3, 3, 1308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/((-1400)\/(-1250)*(-1 + 6) - 5). Let o(a) = 8*a**3 - a**2 - 4*a + 3. Let r be o(2). Is r bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2789 - -2788.7. What is the nearest to -1 in -5, -8, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102)*1)\/(sqrt(6)*1*3))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 32 = 5*u, 2*u + 12 = 4*u + i. Let l be (0 + (0 - 0))\/(u + -9). Which is the second smallest value? (a) 1 (b) -5 (c) l (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 29667*a - 29663*a + 22 = -33, 3*t = -5*a - 68 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0*y - 17 = 7*y + a, -4*a = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 6, 10, -0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:46 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m + 7. Suppose m*w - 128 = -4*k + 2*w, 0 = -4*k - 4*w + 124. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -612*g**3 - 23*g**2 + 29*g + 31. Calculate h(-1).\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + 70*j - 30 = 0. Let g(v) = -v + j*v + 1 - 4*v + 11*v. Calculate g(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4269 is divided by 696.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5461 divide 221148656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*x + 5*x + 70 = 0, 28 + 7 = -2*x - 39 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(165)\/(sqrt(11)*-3))\/((sqrt(15) + (sqrt(1815) - (sqrt(1815)*3 + sqrt(1815) + sqrt(1815))))\/sqrt(5)).\nAnswer: -5*sqrt(5)\/129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 2.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5518 + -5491. Solve -65*p + d*p + 190 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 5*p**2 + 9*p + 20. Let t(a) = a**3 + a**2 - 2*a - 6. Let b be t(0). Let x be j(b). Solve 5*f + l = -x*l + 37, f + l = 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 127 = -42 + 15 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151 + 164. What is the greatest common factor of 78 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r\/(r*r**0)))))**43)**(17\/5) assuming r is positive.\nAnswer: r**(731\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9024 is divided by 902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47962554 + 5?\nAnswer: -4796254b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/8 + 847*g**3\/4 - 5807*g**2\/8 - 76570494*g + 16345043208 = 0. Calculate g.\nAnswer: -1159, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 6 - 8. Let b = 5 + p. Let i = 4 + b. Calculate the lowest common multiple of 3 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36601117, 0, -2 in increasing order.\nAnswer: -2, 0, 36601117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100516457?\nAnswer: 37, 2716661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231175.\nAnswer: 5, 7, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*x - 31*x - 53*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 65742848*v**2 + 120208. Let z(l) = -5469*l**2 - 10. Determine -5*h(j) - 60104*z(j).\nAnswer: -5464*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1\/4 (c) 3\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: What is the nearest to 1 in -0.3, -278881, 1.1, -1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, -2\/9, -1.5 in descending order.\nAnswer: 1, 0.7, -2\/9, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 4*q + q)*(-2*q - q + 5*q) - 651*q + 651*q + 32*q**2 to z + u*q + j*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7796 or -7797?\nAnswer: -7797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -487.9 + 488. Which is greater: 215 or l?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/3)\/(2\/6). Let z be (-88 - (-6903)\/78)*((-10)\/(-15))\/(1\/12). Determine y so that -z*y**2 - 1\/2*y**c + 0*y + 0 + 2*y**3 + y**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + u + 9, 0*d + 4*u = -d. Solve -3*a + 5 = -d*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**3 + 263*x**2 + 64*x + 204. Let u be l(-29). Suppose 2*k = 4*o - 310, -4*o - 2*k + 245 + 45 = 0. What is the greatest common divisor of o and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1428045544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55\/3, 0.22, -0.47, -1, 0.6 in descending order.\nAnswer: 0.6, 0.22, -0.47, -1, -55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1980.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:41 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**3\/3 + 41*d**2\/2 + 39*d. Calculate the remainder when k(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747918354.\nAnswer: 2, 3, 124653059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3984 and 1572864.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**5 + 140*i**4 + 1612*i**3 + 6020*i**2 - 1616*i - 6160 = 0.\nAnswer: -14, -11, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 35. Let f = -87 - -82. Let x be ((-46)\/(-9) + f)*3. Put -1\/8, x, -0.11, a in ascending order.\nAnswer: a, -1\/8, -0.11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*a**3 - 2 + 2*a**3 + 8*a**3 + 17*a**3 to the form k + h*a + m*a**2 + x*a**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 - 1127202*r\/11.\nAnswer: -2*r*(r + 563601)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 94 - 39 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*1*(-1)\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 6*h + 3. Let k be r(6). Let o = 25 - k. Let d = o - 16. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-8)*7\/(-21)*42?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**6\/720 + p**5\/240 + 4*p**3\/3 + 7. Let z(i) be the third derivative of f(i). Factor z(s).\nAnswer: s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times 322?\nAnswer: -386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860815124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*c, 5 = -3*o + o - 3*c. Suppose 57 + 58 = o*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3139919727\/1276 - -70711920\/29. Let b = a + 22411. Find the common denominator of -67\/24 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3302, 11\/17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 144597790 divided by -11210\nAnswer: -12899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g. Let t(s) = 4*s - 4*s**2 - 2*s + s. Give -3*j(i) + t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25324.01 from -0.1.\nAnswer: 25323.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000368863 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1185317 divided by 7\nAnswer: 169331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -92, -81, -62, -35, 0?\n\"Answer: 4*p**2 - p - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 378379\/189 + -2002. What is the common denominator of w and 55\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 0, 7, 16, 5 in decreasing order.\nAnswer: 16, 7, 5, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 4*x**3 + 3*x**3)*(0*x**2 - x**2 + 3*x**2) + (x + 3*x - 3*x)*(x**4 - 4*x**4 + 6*x**4) + x**5 + 4*x - 4*x.\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of s**3*v + s**3 - 231*s**2*v - 11*s**2 + 66*s*v - 495*s + 3*v - 3 wrt v.\nAnswer: s**3 - 231*s**2 + 66*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1085*u**3 + 10*u**2 - 10*u + 10. Let s(w) = 723*w**3 - 7*w**2 + 7*w - 7. Give 7*p(b) + 10*s(b).\nAnswer: -365*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -259487 + 444052. Is f 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 nuuuuvusvugs. What is prob of sequence uss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 226.32 + -227.4299. Round x to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 2*q = 1197. Suppose -5*j + 77 = -q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4 = 2. Let f be (36\/8)\/((-1)\/m). Let d = 9 + f. Solve d*v - 4*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296.725 >= -2\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2 (c) -3\/2 (d) 14.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 21. Let t be 3*l - 7\/(-21)*-3. Solve -4*w - 2 = -t*a - 8*w, -4*w = 3*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299219*o + 299218*o - 3*o**2 - 2*o**2.\nAnswer: -5*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 339\/17, -3\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, -2*v + 394 + 1406 = 2*h. Let a = -102 + h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20139, 161128, 543777, 1288902, 2517319, 4349844, 6907293, 10310482?\n\"Answer: 20136*p**3 + 14*p**2 - 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95266259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 56. Let t be s(11). Suppose -t*v + 24*v - 58814 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*b + 20 = -1094*b + 3*l, 2*l - 12 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/15)*i**(-5\/6)\/i)\/((i**4\/i)\/(i\/i**(1\/2)))*(i*i**5)\/((i\/i**(-5)*i)\/i)*i**(-2)*i*i*i*i**(-8) assuming i is positive.\nAnswer: i**(-157\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127752 and 162.\nAnswer: 3449304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 24. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27710\/11 - 2517. Let j = 251027\/40 + -6276. What is the common denominator of l and j?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56827 is divided by 56822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -143096, -143068, -143040, -143012, -142984, -142956?\n\"Answer: 28*j - 143124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24163813 is divided by 2311.\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Divide 100 by -25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - i + 18 = 4*i, -3*r = 3*i - 18. Let q(a) = -9*a + 4*a + r*a - 2. Give q(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35552 divided by 2222?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5036 - 89*a + 5036)*(3*a - 5*a + a + (-4 + 3 - 1)*(0*a + 3*a - 2*a) - 5*a + 3*a + a - 4 + 4 + 2*a - 4*a + 0*a - 4*a).\nAnswer: 890*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.14 (c) -2\/1195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, and 1 l when three letters picked without replacement from {p: 3, o: 2, n: 8, j: 2, l: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 31. Let a be j(0). Suppose 3*s - a - 17 = 0. Calculate the remainder when 46 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 1140*z\/11 + 2272\/11.\nAnswer: 2*(z + 2)*(z + 568)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5300 * -2741\nAnswer: -14527300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4, -259 = -5*h - 0*v + v. Let i = -3 + h. Let t be ((-60)\/(-42))\/(1\/7) + -3. Calculate the greatest common divisor of t and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82708918?\nAnswer: 2, 41354459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191940 by -1.\nAnswer: -191940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/15, -11\/4, -0.1 in increasing order.\nAnswer: -11\/4, -0.3, -0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -223310 - -1064?\nAnswer: -222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**8*x)\/x*x*x\/(x**(-14)\/x*x))**(2\/115)*x\/(x*x**(2\/5)\/x)*x*x*x**(1\/4)*x*x*(x\/(x**0*x))**46 assuming x is positive.\nAnswer: x**(2303\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97881?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-4))\/((-21)\/(-35)). What is the remainder when 32 is divided by 209\/55 - ((-14)\/y - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 + 9333*p + 9051*p - 18384*p.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-105)*1)\/((-4)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 5*p - 173*c + 171*c - 58, 0 = -p + 2*c + 32 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*u - 82*u - 75 = -3*f, 10*u - 26 + 141 = -f for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -9, 64, -5 in descending order.\nAnswer: 64, 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -71, 0, -3\/4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -9*y + 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -45. Let d = 23.9 - q. Let l = d + 0.1. Which is the biggest value? (a) 1\/10 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44511 (base 11) in base 3?\nAnswer: -10021111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 61 = -13. Solve -5*c = 9 + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8, -13, -20, -29?\n\"Answer: -j**2 - 2*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2203498 and 2203494 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 u when four letters picked without replacement from aaaaaauaaua.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 5, -0.4, 3, -2652?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.085, 0.5, -0.3, 0.4, -160728?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kckkwwcwcwcwwwww. Give prob of picking 4 c.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*d**2 + 33*d + 1.\nAnswer: (4*d + 1)*(29*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(17)*-6*-3)**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 6 - 7*k**2 - 3*k + 4*k + 3*k + 8 + 13*k to l*k**3 + w + v*k**2 + r*k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 958 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 5*z - 6*z. Suppose 14 = n + n. Let m(a) = -a. Let q(i) = i. Let x(b) = n*m(b) + 5*q(b). Give x(s(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 6*g**2 - 11*g - 2. Let m(a) = 4*a**3 - 7*a**2 + 12*a + 2. Calculate 4*m(b) + 5*r(b).\nAnswer: b**3 + 2*b**2 - 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 1. Let j(a) = -7*a. Let u(v) = 5*h(v) - 4*j(v). Let n be (-6)\/(-15)*8 - 2\/10. Let t be (33\/3 - n) + -4. Give u(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = 152*i - 95*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**2 - 11*q + 414. Let k be u(10). Sort -3, 3, 1, 2, k in descending order.\nAnswer: k, 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-1) - 0) + -1. Let l = r - -11. Determine d, given that 1\/3*d**4 - 1\/3*d**2 + 0*d + l*d**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -47*r + 669. Is y(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z. Let o(l) = 299388843*l. What is o(v(d))?\nAnswer: -598777686*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 164*h**2 + 825*h + 31. Determine z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -f + 8, -202*f - 5*r + 14 = -201*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144720\/(-144)*10\/(-1500)*10?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -2640926 in ascending order.\nAnswer: -2640926, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - c**2 + c**2)*(-93 - 1 + 34).\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.72 - 13.28. What is the closest to n in 5\/2, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1372.934\nAnswer: 4118.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11977709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c635 + 5d?\nAnswer: 1c693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 114834.162 rounded to the nearest 100?\nAnswer: 114800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5*a + 10, 4*i - 4*a - 22 = i. What is the third derivative of 77*g**5 - 22*g**5 + 21*g**i - 21*g**5 wrt g?\nAnswer: 2040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - (sqrt(216) + -4*4*sqrt(216)))\/(-3*sqrt(12)*-2)*-3)**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*c + 1, 4*u = 2*c + 3*u - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, z: 8, s: 5, q: 3, e: 2}. Give prob of sequence vq.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 22*i - 34. Let y be l(-15). Suppose -3*p - 3 = 3. What is the units digit of p*y\/(-4)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 94*y - 89*y - 5*x, 4*y - 46 = x. Solve -5*m + 5*s = -25, -y*m + 7*s + 13 = -17*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1459143 is divided by 12261?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4142537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -88. Let x be (7624\/10*4\/(-16))\/1. Let k = 190 + x. What is the third smallest value in -2, -12, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.37+-4.60388\nAnswer: 21.76612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*a - 2182, 14*a - g + 2910 = 18*a. Calculate the smallest common multiple of 77 and a.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*l**2 - 175*l**2 - 116*l**2.\nAnswer: -214*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 11*m - 4. Suppose -48 = -3*h + 81. Suppose -x - 31 = -5*u, -5*u - 2*x = -0 - h. What is the remainder when s(8) is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-5 - 154\/(-30)) + (-26624)\/780).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68983381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -512, -1, 5, -4, -21\/2 in ascending order.\nAnswer: -512, -21\/2, -4, -1, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (30\/(-9)*7)\/((-2)\/288)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 2, m: 4, c: 1, t: 2, a: 1}. What is prob of sequence at?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is -28.1 rounded to 0 decimal places?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/165*(-2*90\/(-8))\/(-3).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/4*10 + (-12 - -15). Calculate the greatest common factor of 1106 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 448, 0.48, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 780. Let i(w) = 781*w. What is i(g(b))?\nAnswer: -2343*b + 609180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24202547 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 425428 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 n(y) = y + 5. Let z be n(-6). Let w(l) = l. Let f(o) = -4*o - 1. Calculate z*f(c) - 2*w(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314880 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 370.663 + -369. Let o = -2 + f. What is o rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j + 6*j. Let a(r) = r**2 + 4*r + 3. Calculate a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -54*a**2. Let r(z) = -5179*z + 5 - 5 + 5179*z + 6*z**2. Determine r(s(o)).\nAnswer: 17496*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 - -2) - -3. Suppose -w*v + 108 = 2*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 - ((-11728)\/6)\/4. Suppose 0 = -f*z + 483*z + 3410. List the prime factors of z.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 227290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -109245.\nAnswer: 2\/109245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 239 + -25. Let g = k - 166. Suppose -5*r + 5*v + 365 = 0, 0 = 4*r - 2*v - 172 - 118. Calculate the highest common divisor of g and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 270.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 464, 3682, 12416, 29426, 57472, 99314, 157712?\n\"Answer: 460*p**3 - 2*p**2 + 4*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 4 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15594332 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, -2, -4, 5, 6 in descending order.\nAnswer: 6, 5, -2, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-14\/3)*l))\/l*l\/(l\/l**(-17)*l*l)*l**(5\/6)*l**(-24)\/l assuming l is positive.\nAnswer: l**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8660566, 17321133, 25981700, 34642267?\n\"Answer: 8660567*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**4 - 24*a**3 + 114*a**2 + 1427672*a?\nAnswer: 108*a**2 - 144*a + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 7*v**2 - 3*v - 5. Let r be d(6). Let f = 13 - r. Solve -5*g = 2*t - 0 + 1, 2*t + 6 = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8264190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.725 - -12.732051. What is c rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**21*w*w\/(w*w\/w**(-6))*w assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k + 22*k - 11*k)*(-31 + 100 + 79 + (1 - 2 - 1)*(-1 - 2 + 2)) in the form u*k + w and give u.\nAnswer: 2550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9684 = -9670 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*d + 89 + 20, 3*t + 2*d - 271 = 0. Let r be (3\/t)\/(3\/12). Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.65, 4, 2\/9, -179, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/2)\/((f\/(f*f**20))\/f) assuming f is positive.\nAnswer: f**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 8. Suppose 2*y + 3*a = 52, 4*y + 2*a - 14 - 82 = 0. Let j be (2\/26)\/(y\/(-966)). Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121977481 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -228 + 157. Let l = p - -73. Solve -25 = u - 6*u - 2*c, -l*u - 4*c + 26 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 288\/30 - (-4)\/10. Suppose 4*p - 8 = 0, -5*o - p + 2 + g = 0. Solve v + 1 - 11 = o*u, -5*u - 27 = -3*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15767*r**3 + 15751*r**3 + 15768*r**3 - 47305*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2. Let c be n(-1). Let h(o) = -o + 5. Let x be h(3). Suppose 5*g + 2*s - 1 = 1, 4*g + x = 2*s. Solve c*u - u = g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 + -62. Let j(k) = -3*k**3 + 1. Let z be j(s). Let n = -166 - z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -597.5 + 497. Let q = p - -100. What is the nearest to 2\/39 in -1, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465195368.\nAnswer: 2, 11, 251, 21061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*d + 20. Let c = 70 - 70.3. Let t = -0.5 + -2.5. Put t, d, c in decreasing order.\nAnswer: c, t, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2 + 4*h - 3 + (-1 + 1 + 3)*(5*h - 3*h - 3*h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let g(t) = 9*t - 23. Let h be g(c). Let u be (4\/(-6))\/(-1 - h\/60). What is the closest to 2 in -21, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.75. Let m = -0.15 - k. Round m to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2761*i + 22 - 666*i - 22 + 7241*i as p*i + o and give p.\nAnswer: 9336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrrrror. Give prob of picking 4 r.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.1. Let h = 2 - 1.5. What is the closest to z in 2, -3\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-16))\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/1170 (b) 69 (c) -5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68138 is divided by 1918?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - -5. Suppose d = q + 21. Suppose -n + q = t, -4*t = 5*n + 22 - 131. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*i - 809*i + 33106 = -1537*i - 212 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:16 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dduqeddqddqqeucdqq. Give prob of picking 2 u.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -196923765 + 12851.\nAnswer: -196910914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8832, 17652, 26470, 35286, 44100, 52912?\nAnswer: 61722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 181*i**2 + 1725*i - 2169. Calculate q(171).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 19, 4, 0.1, -0.1, -7, 0.5, 35\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = 3*b, -2*l - 3*l + 4 = -4*b. Suppose 9 = -l*c + c. Suppose 14*y - c*y = 65. What is the remainder when 38 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 3*s**2 + 5*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 364\/519 + -6\/173. Which is bigger: p or 0.1774?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*t**4 + 393*t**3 - 346845*t**2?\nAnswer: 816*t + 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 209836?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from bunae.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:09 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -638d (base 16) to base 15\nAnswer: -7840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1709*m**3 - 9*m**2 + 5*m. Let j(d) = 1709*d**3 - 6*d**2 + 5*d. Determine -3*j(c) + 2*s(c).\nAnswer: -1709*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105*q - 1550 wrt q.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 3, i: 2, j: 3, t: 7, c: 1, o: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1209 and 124?\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 393 and 5449?\nAnswer: 2141457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-36)\/468*403?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**2 - 66*a - 12. Let p(y) = -16*y**2 - 98*y - 18. Determine -7*n(w) + 5*p(w).\nAnswer: -3*w**2 - 28*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppa when three letters picked without replacement from {a: 2, p: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 20 - 11 + l.\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 1, -1\/6, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v + 6 - 6*v + v**3 + 2 - 12*v**2 - 12*v. What is the smallest common multiple of 2 and f(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 14*m + 17. Let y be p(7). Let n be (-2)\/(-11) + (-23310)\/y. Calculate the common denominator of 8\/(-28) + n\/14 and -151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5862 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/11814 and 83\/22.\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1080 - 512. Let g = a - 139. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3730 + 3729.7. What is the closest to 0 in d, 3, 96, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4999?\nAnswer: 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/3 - 835420*k**3\/3 - 174490833478*k**2\/3 - 1279498361460*k - 7037055668907 = 0.\nAnswer: -417699, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212100 + 21120012?\nAnswer: 22102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -5 - 0) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6494\/5 - -1287. Let y = 2216 - 5314. Let p = -21729\/7 - y. Find the common denominator of i and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 88. Solve 2*m + n = 3*j + j, -j + 3*m = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 12*i = -806. Calculate the remainder when i is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(45)*-1*3 + (sqrt(2205)*1 - sqrt(2205)))\/(-2*(sqrt(99)\/(-2*sqrt(11)) + sqrt(9) + sqrt(9))) + -5.\nAnswer: -10 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 434, 652, 870, 1088?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60a00 + 4?\nAnswer: 60a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207991 is divided by 29711.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 3*x + 82. What is v(-9)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -69*m**2 + 13 + 69*m**2 - 39*m**5 - 100*m. Differentiate s(y) wrt y.\nAnswer: -780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f - 1. Let i be x(2). Suppose 20*g = 8*g + 36. Solve g*s = -i*w - 18, 3*w = 5*w - 2*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-16)\/(-6)) + (-20703)\/2472?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 5 (c) -2\/1079337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1001000011101 (base 2) to base 8\nAnswer: -11035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 820238.3 micrograms?\nAnswer: 0.0000008202383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 346\/7. Let v be (3 - 7 - (5 + -5)) + 4. Suppose 2*g - 12 + 22 = v. Sort g, x, 11.\nAnswer: g, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263 + 261. What is the second smallest value in t, 0.06, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -104. Calculate the smallest common multiple of 4 and 126\/27*(-1)\/(1\/m).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:20 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0908 times 0.19?\nAnswer: 0.397252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/13 (b) -1 (c) 1\/4 (d) 0 (e) 308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51096619 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 3\/10, -0.091, -10\/7, 15?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 2000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 19*n**2 - 20104*n - 38195. Calculate r(1060).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, p: 3, j: 10}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 - 124. Suppose s + 134 = 4*v. List the prime factors of v.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -71, 1, -53, 0, 11 in increasing order.\nAnswer: -71, -53, -4, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66.139 + -0.661. Let f = -68.8 - a. What is the third smallest value in 3, f, 0.52?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 34 + 26 - 100 + 18*l**2 - 3*l + 30 to the form p + q*l**2 + x*l and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 12) to base 14\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1120110201022111?\nAnswer: 1120110201022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 863094 (base 11) to base 8\nAnswer: 5207776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.9021681 to 0 dps.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**2 + 18*m - 4. Let v be y(-15). Suppose -7*n + n + v = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 + 7*v + 9. Let u be k(4). Suppose -q - 1344 = -u*q. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15365 and 770.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zznnn. Give prob of picking 2 n and 1 z.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jffjdfjdjfjf. Give prob of sequence jdj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - l + (3 - 2 - 3)*(l + 3*l - l) + 3 - 2*l - 3)*(-7 - 2 + 2).\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 88 + -46. What are the prime factors of d?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - 6*sqrt(108)) + ((sqrt(147) - sqrt(3)) + 3)**2.\nAnswer: 6*sqrt(3) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(99))**2 - -6*(sqrt(704)*-2)**2.\nAnswer: 19272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + 0.06. What is the nearest to 0.5 in z, -0.3, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**2 - 5*n + 2. Calculate the remainder when 3\/(-9) + 110\/6 is divided by x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(12) - 1*sqrt(12)) + sqrt(192) + sqrt(192) + sqrt(192)*-1.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 416, 1653, 3714, 6599, 10308, 14841?\nAnswer: 20198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:31 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + w - 507 = 2*w, 3*w - 271 = 2*i. Let g be 3 + -3 - 4 - i. Let a = g + -73. Calculate the remainder when a is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -6 (b) -11 (c) 0 (d) -21.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*r - 140, -301 = -5*b + r - 75. Let a be 100\/36 - (-10)\/b. Let v be (-2 - (-1 - -1)) + 9. Solve -v*t + a*t + 7 = i, 5 = 5*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 50. Sort -4, z, -5, -6 in descending order.\nAnswer: z, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 39631 = -86326. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278*j**2*n*q + 8*j**2*q**3 - 6*j**2*q**2*r - j*n*q**3 - j*q**3 + 7*n*q**2 - 327*n*q*r + q*r wrt j.\nAnswer: 556*n*q + 16*q**3 - 12*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7004730407 to the nearest 1000000.\nAnswer: 7005000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) -2.1176 (c) 0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143883040 by -1027736.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*o + 609 = 82*o. Let a = -597 - o. Put 4, 5, a in descending order.\nAnswer: a, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 12:03 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from qqqqqoqqocjqwh?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**5 - 3*b**5 + 2*b**5 + (-3*b**3 + 3*b**3 + 2*b**3)*(5*b**2 + b**2 - 4*b**2) - 4*b**5 - 3*b**4 + 0*b**4 + 2*b**4.\nAnswer: -b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921 = -180*j + 419 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**5\/120 - 10*y**3\/3 - 8. Let s(c) be the third derivative of j(c). Calculate s(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than -10166234220?\nAnswer: -10166234220.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11683 + 350527\/30. Let s = t - 9\/10. Which is the nearest to -1? (a) -3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 + 84*w**4 + 4545*w**3 + 8826*w**2 + 4368*w = 0.\nAnswer: -26, -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511203228.\nAnswer: 2, 3, 863, 49363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59588 + -59438. Suppose -b = 2, -3*x + b = -2*b - 123. What is the remainder when w is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -5*l**6\/6 - 34*l**5 - 315*l**4 + 1080*l**3 - 687. Factor n(a).\nAnswer: -5*a**2*(a - 2)*(a + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1195113983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*n - 2*p + 1, 10 = -5*p. Let f(w) = -w - 4. Let y be f(n). Let k = 12 + -10.9. Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + -11 + 4*1. Suppose 2*p + l = 0, -3*p = -0*r + 4*r + 102. What is the common denominator of (39*2\/(-9))\/(-2) and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165683, 331369, 497061, 662759?\nAnswer: 828463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h + 2. Let f be a(2). Let k(w) = -w**2 - w + 1. Let x(o) = 2*o**2 + 6*o - 6. Let n(c) = f*k(c) - x(c). What is the units digit of n(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004403 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-18))\/(2 - (-6)\/(-4)). Let m(w) = 4*w**2 + 2*w. Let s(i) = -i. What is h*m(o) - 2*s(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*y + 347*y - 706*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11193.7 * -112.5\nAnswer: 1259291.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1648, 2, -2, -8, -37, -5 in decreasing order.\nAnswer: 2, -2, -5, -6, -8, -37, -1648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1, 4, 8 in increasing order.\nAnswer: -1, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1211362ns in seconds?\nAnswer: 0.0000000001211362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 18*o**2 + 18*o - 2. Let n be a(-17). Is n less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 8. Let t be b(-8). Solve t = -3*r - 2*i, i = 5*r - 8 + 30 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14.29550699 * -4\nAnswer: 57.18202796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2002239 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.01, 2\/17, -6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 609, 1398, 2373, 3546, 4929?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2284044 divided by -21?\nAnswer: 108764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*p**2 - 108*p**2 - p**3 - 2*p + 66*p**2 - 7*p**4 + 3 to the form l + g*p**4 + z*p**3 + u*p**2 + b*p and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**2\/5 - 14757*g\/5 - 1476 = 0.\nAnswer: -1\/2, 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -146, -420, -828?\n\"Answer: -67*z**2 + 61*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 5*u - 5, 0 = 3*u + 2*x - 12. Let w(a) = -a**3 + 3*a**2 + 4*a - 6. What is w(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17720533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/267133?\nAnswer: -1\/267133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333254193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19208800 or 19208789?\nAnswer: 19208800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + -2 + sqrt(80))*4 - ((sqrt(80) - (sqrt(80) - -1*(sqrt(80) + -1))) + 3)) + 1)**2.\nAnswer: -920*sqrt(5) + 2529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 4, -6\/7, -2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -4, 0, 1\/6, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 0.11069997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -0.7 (b) 5 (c) -2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*t + 232 + 224 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47885611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115929?\nAnswer: 3, 11, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-67)\/(-4) - (-6)\/24. Let f(d) = -d + 36. Let p be f(o). Differentiate p*h**2 - 27 + 4 + 23*h**2 + 1 wrt h.\nAnswer: 80*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 738 and 30?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1211135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 896, 3015, 6300, 10745, 16344?\n\"Answer: -h**3 + 589*h**2 + 359*h - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-1)\/(-3)*-4*27759\/(-18506).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 6 - 21. Suppose 2*n + 8 = 4*l + n, 0 = -5*n. Suppose -l*f + z = -f. Solve f*g = 2 + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvjj when four letters picked without replacement from {j: 12, v: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**4 + 2*c**3 - 3856*c**2 - 203313 wrt c?\nAnswer: -4*c**3 + 6*c**2 - 7712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) -3 (b) -0.5 (c) -2 (d) 2\/3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -406062.931 rounded to the nearest 1000?\nAnswer: -406000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 619*a**3 - a**2 + 10*a - 107. Let q(r) = -309*r**3 + r**2 - 4*r + 54. Let o(z) = -2*n(z) - 5*q(z). What is the third derivative of o(k) wrt k?\nAnswer: 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055438355 rounded to 6 dps?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 - ((-28)\/12 - -2). Let f = 288 + -286. Which is the closest to y? (a) -2.4 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6597.49 and 0.26277?\nAnswer: 6597.75277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214 - -5?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152726857?\nAnswer: 359, 425423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 4*x**2 + 2*x + x**3 + 0*x**2 - 1. Let l be ((-8)\/(-10))\/(16\/40). Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**6\/1260 + n**5\/420 - n**4\/42 + n**3 - 1. Let q(t) be the third derivative of l(t). Factor q(z).\nAnswer: 2*(z - 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 17579049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69679330*o**2 - 18745123*o wrt o.\nAnswer: 139358660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - g**2)*(-g**2 + 2*g**2 + g**2)*(35 + 18*g - 35).\nAnswer: -36*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/((-26560)\/(-1577))*4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-60)\/10)\/(20\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -13, -20, -27, -34, -41?\n\"Answer: -7*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5893\/276 - -493\/23. Let r(i) be the third derivative of -1\/30*i**5 + 1\/24*i**6 + 0*i - 1\/6*i**3 - d*i**4 + 4*i**2 + 0. What is r(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6906109?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 + 55*l**4 - 285*l**3 + 225*l**2 = 0. Calculate l.\nAnswer: -15, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/18272 and -121\/257600.\nAnswer: 147089600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 + 3)*1)\/(14\/21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o + 8, -4*g = -0*g - 2*o + 20. Let j be g\/4 - 154\/(-88). Which is the smallest value? (a) -0.4 (b) -0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1684848 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 81*y**3 - y - 2. Let l be w(2). Suppose -4*f = 260 - l. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747127.5l to millilitres.\nAnswer: 747127500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -186*k + 3644. Determine b(20).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q**(1\/4)*q*q*q**6)\/(q*q\/(q**(-3\/2)*q)*q**(1\/2)\/q))**(-13) assuming q is positive.\nAnswer: q**(-533\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -23. What is the third biggest value in 2\/7, d, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18666.2063 to the nearest ten.\nAnswer: 18670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 4.6418571.\nAnswer: 9.6418571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5408 - 4666. Calculate the lowest common multiple of o and 901.\nAnswer: 12614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 21\/2*x**2 + 1\/540*x**5 + 4 + 1\/27*x**4 + 8\/27*x**3 + 0*x. Let s(z) be the second derivative of n(z). Factor s(b).\nAnswer: (b + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n**2. Let a(b) = b. Give u(a(t)).\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -1.23425.\nAnswer: -1.13425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 1110 = -5*j. What is the remainder when 52 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11544837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:00 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-5*(sqrt(396) - (1 + sqrt(396) + sqrt(396) + 1) - sqrt(396)))**2 - (sqrt(396) - -6*(3 + sqrt(396)) - (sqrt(396) + -3)*2))*5.\nAnswer: 5850*sqrt(11) + 198385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2 - 23*o**2 - 48 + 15*o + 11*o**2. Let y be u(10). Solve j = y*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3b173b (base 12) to base 10\nAnswer: -977375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-8)\/30)*4\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 10 = 14. Calculate the remainder when 20 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/31)\/n*n*n)\/(n**1*n))**(5\/7)\/((n*(n*n**0*n)\/n*n**(-2\/7)*n*n)\/(n**1)**(5\/4)) assuming n is positive.\nAnswer: n**(-2719\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 0*c**2 + 0*c**2. Let v(m) = -6*m**2. Let n(x) = 12*x**2. Let s(i) = -6*n(i) - 13*v(i). Determine s(j(d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-2 + sqrt(1000) - sqrt(10)*1*-6)\/(sqrt(45) + (sqrt(45) - sqrt(315)\/(sqrt(343) + sqrt(7))) - sqrt(45)).\nAnswer: -32*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 4548855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50325 - 5?\nAnswer: 50320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 e when three letters picked without replacement from {e: 7, w: 4}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**2 - 24458*u + 724751 with respect to u.\nAnswer: 2*u - 24458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 8*m + 6. Let j be s(-6). Let f be (-2 - 57\/j)*40. Suppose 0*z - f = -5*z. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1122*275094\/(-21576).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13926*p - 3. Let q(x) = -61*x - 1. Give 3*q(h) - z(h).\nAnswer: -14109*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1573 and -1573 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3. Give m(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p = -3*p + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045184591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) 0.3 (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*n**5 + 15*n**5 - 2*n**2 + 8*n**5 + 5*n**2 wrt n.\nAnswer: 1380*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:44 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2906885.\nAnswer: 5, 581377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*(i*(i*i**(-3))\/i)\/i)))\/(i**4\/i)*(i*i*i**5*i)\/i**(7\/3)*(i\/(i*i**(-1\/4)))**0*(i\/((i\/((i**2*i*i)\/i))\/i))**(-1\/11) assuming i is positive.\nAnswer: i**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -19*t + 12. Suppose 15 = p + t*p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {k: 3, d: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35223048823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10 + 9*v**2 - 2 + 4 - 8*v. Let c(k) = 3*k - 8*k - 3 + 3*k**2 + 2*k. Determine 8*c(t) - 3*l(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 14829 - 1.6\nAnswer: 14827.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x. Let o(y) = -4*y + 33. Let g(v) = -6*d(v) + 3*o(v). Let r be g(-16). Solve -5*s - 11 = u, 3*u - r*s = s + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210ab (base 13) to base 12\nAnswer: -2a4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*f - 38 = 0, 48 = w - 4*w + 6*f for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -18*p + 16*p + 9, -10*s - 21 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/35 and 1607153 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-28)*l\/(l**2*l))\/((l\/(l*l*l**(-2))*l)\/l**(-4)) assuming l is positive.\nAnswer: l**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 (base 10) in base 5?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1320447 is divided by 741.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755*g = -1754*g + 5*f + 67, 5*g + 4*f = -62 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342402761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.1, 6, 24, -3\/5 in increasing order.\nAnswer: -3\/5, -0.1, 0.1, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*0\/(-48)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/13 + 790584*q**3\/13 - 3162358*q**2\/13 + 3952956*q\/13 - 1581184\/13 = 0.\nAnswer: -395296, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -53, -31, 11, 79, 179, 317, 499?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/15)\/((-6)\/15). Let n be (-16)\/140 - s\/5. What is the nearest to -1 in n, 0.4, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x + 1. Let g be a(-4). Suppose 2 = g*z - 33. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 142*n**3 + 110*n - 147*n**3 - 203*n**4 + 208*n**4 wrt n.\nAnswer: 60*n**2 - 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -801, -3534, -8089, -14466?\n\"Answer: -911*u**2 + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5681992 or -5681875?\nAnswer: -5681992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:20 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 91 - 4?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2454 - -4926. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 n, and 1 c when three letters picked without replacement from pppcpoinccippo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 21 = 5*i. What is the lowest common multiple of (6\/i)\/(15\/(-20)) and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 24*h = -6. Suppose -5*j - 6*u + h = -2*u, 0 = u + 1. List the prime factors of (-388)\/(-14)*(6 + j - 0).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-1)\/(-3))\/1)\/(9\/378). Suppose s - 4285 = -y, 10*y - 12883 = -3*s + m*y. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -220. Let m be (-11)\/3 + (-2)\/(-3). Let x be 24\/13*m\/j. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107725777.\nAnswer: 107725777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*f = -646*f - 3410 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6 = 4*d. Let x be (-3)\/6*(d + -2). Is 1\/4 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 38*w**2 + 644*w - 3920.\nAnswer: -2*(w - 28)*(w - 5)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235979 - 8*k + 235979 + 22*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Put -5, o, 2 in descending order.\nAnswer: 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20)\/((-3)\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2 + 10*w - 1. Let r be z(-7). Calculate the remainder when 1 + 60 + 1 + r is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.211 + -2.688. Let u = 64 + z. Let s = 0.001 - u. Which is the nearest to s? (a) 4\/9 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -21*g. Let x(f) = 4*f**2 - 2*f. Give r(x(t)).\nAnswer: -84*t**2 + 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7 - 1\/(2\/(-10))). What is the closest to b in 0.6, -2\/15, 2\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12 = 3*d. Suppose 5*m = -16 - d. Let i be (m\/(-6))\/(5\/30). Solve 0 = -i*r + 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/36*((-7)\/2 - -2). Suppose -v = -t - 4*t. Put 3, 39, t, 4 in decreasing order.\nAnswer: 39, 4, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*t - 2*g = 240*t + 7, 4*t + g = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/9 - 10*j**4\/9 - 14*j**3\/9 + 10*j**2\/9 + 4*j\/3 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -32. Let f be 3\/2*6\/(-9). What is the units digit of 1\/(f - q\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/10)\/((-1)\/74). Let y = -145 + t. Let a(z) = z**3 + 5*z**2 + 5*z + 2. Let f be a(-3). Solve 2*i + i + f*g = -15, i + y*g = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*k**3 - 428*k**3 + 555*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 140 = 3*m - 2*m, 3*m = -3*p + 66. What is the greatest common factor of 216 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 7*c + 85. Let m(j) be the third derivative of j**4\/12 - 14*j**3\/3 + j**2. Calculate the smallest common multiple of m(c) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 21612621 divided by 7204207\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - k - k)*(-2 + 3 - 5*k + 3*k)*(-4 + 0 - 2)*(2 - 5 + 2) in the form p*k + y*k**2 + s and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a factor of 4394637066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659, -1501, -2727, -4529, -7099, -10629?\nAnswer: -15311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 29*s + 108 = -4*j, -s = -3*s + 5*j + 36 + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 296.\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15762 or -15761?\nAnswer: -15761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + 28*a - 28*a**2 + 25*a**2 + 8 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01215*0.5\nAnswer: 0.006075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4564 + -4556. Which is the nearest to 1? (a) -2 (b) 1 (c) 9\/4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 9*t - 36. Suppose w = t*w - 258. Suppose -w - 258 = -3*s - r, 2*s - 5*r - 201 = 0. List the prime factors of s.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*6\/60*-5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 982, 994, 1012, 1036, 1066, 1102, 1144?\n\"Answer: 3*c**2 + 3*c + 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-70)*(-14)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 5, -3, 3 in increasing order.\nAnswer: -152, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1219 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwttvettgwgttwwttt. Give prob of picking 1 v, 1 t, and 1 g.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b + 14. Suppose 17*t - 24 = 21*t. Give v(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2773 + 2773 - 1714*j**2.\nAnswer: -1714*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkzxzxzxk. Give prob of sequence xzkx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2061200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 26373072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(4\/10 - 110\/(-100))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11305863*a**2*m - 4*a**2 + 2249712*a wrt m.\nAnswer: 11305863*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {d: 2, y: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 812*c - 25 = -817*c, 0 = -4*c + 12. Solve 5*a + z - 63 = -43, -3*z = a + w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 15*v - 25. Suppose -3*y = -3*l + 45, -9*l + 3 = -10*l - 5*y. Let q be u(l). What is the greatest common factor of 979 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04123759816 rounded to 6 decimal places?\nAnswer: -0.041238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2957 (base 11) to base 7.\nAnswer: 14055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -912 - -914. What is the closest to -2 in 3\/8, -0.8, v?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12290, -49368, -111236, -197894, -309342, -445580, -606608?\nAnswer: -792426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 136*w - 1493. Let n be t(11). Solve 5*u - 5*o + 25 = 0, 12 - 32 = n*u - 4*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 + 12 - (-2 - -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6) + sqrt(150))*-2.\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.8 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18933883 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (6 + (-17)\/3 - 50\/15)*-1 and (-9)\/(-2)*(-14)\/(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94.3 or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from osdxdfg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 158*j. Let g(h) = 687*h - 1373*h + 688*h. Calculate z(g(o)).\nAnswer: 316*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5)*a)\/a**(-2\/3)*(a\/a**(-2\/5))**48*(a**5*a\/(a*a**(3\/4)))**(-32) assuming a is positive.\nAnswer: a**(-917\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -20380, 1, 3 in ascending order.\nAnswer: -20380, 1, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 363.\nAnswer: 580\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, -0.01, 3\/4, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 4. Let j(c) = 3*c + 3. Let n(y) = -5*h(y) + 7*j(y). Let g be n(-1). Solve g*q - 5*p - 13 = -2*q, 3*q - 3*p = 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6*o + 16 = -2*o, o - 4 = 4*r. Let q be (4 - r) + (-66)\/18. Let n = -12 - -11. Which is the closest to 3? (a) q (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 + 0 - 40*j - 3*j. Does 12 divide c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen ninths of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588206, -2352806, -5293806, -9411206?\nAnswer: -14705006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1655 + -400. Suppose 4430 = 5*u - a. Let o = 2614 - u. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 1 - 36. Suppose -o*x + 2*x = -30. Let s be 4\/(8\/x) - 1. Let p(n) = 2*n**2 + 2*n. Let u(d) = d**3 + 9*d**2 + 9*d. Determine s*u(f) - 9*p(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 18 - 19 = 9. Suppose 0*l + 9 = 2*v + l, -2*l + 14 = 3*v. Solve -2*y = -v*y + 3*x + 11, 3*y + 16 = -b*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 3. Let a be h(-3). Let y be (a\/(-5) - 1)*-1. Sort 5, 4, y in increasing order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7484393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Which is smaller: -4\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0202 and -2.9.\nAnswer: -2.8798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 2*y**2 - 2*y. Let b = 5 - 3. Let j = -3 + 11. Let h(o) = j*o**3 - 6*o - 3*o - 29*o**3 - 9*o**2. Give b*h(a) - 9*g(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -208, -295, -380, -463, -544, -623, -700?\n\"Answer: a**2 - 90*a - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011881129 to five decimal places.\nAnswer: -0.01188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278, -37, 9 in descending order.\nAnswer: 278, 9, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/420 and 143\/84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*z + 9. Find the second derivative of 17 - 17 + 4*h + z*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/((-21)\/6) - (-41 + 1). Suppose 403 - f = w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(2*(sqrt(2401) + -2*sqrt(2401)))\/(sqrt(42)\/(sqrt(486)*1)).\nAnswer: -1134*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -827311, -1654201, -2481091?\n\"Answer: -826890*n - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/30)\/(-1))\/(2\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/9 (b) 2130 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182332 and 28124.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23714928 is divided by 1693902.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0265\nAnswer: 0.01325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:47 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32668213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -221 + -14?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + 147 + (3 - -1). Let w be 44\/(-10) + k\/(-260). What is the nearest to w in -4, 1, -35, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -6, -4\/7, 206689?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2040\/(-50))\/34*69 + 1*3\/(-15).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6361*l - 4808. What is the units digit of m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 8*z + 30. Solve -3 = -z*j - 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5 - 3*x**2 - 5 + 5*x**2. Let b(u) = 5*u**2. Determine b(v(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18991 = 3862*r + 323186 + 32437 for r.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**2)**(2\/9)\/(n**(-1\/3))**(-12) assuming n is positive.\nAnswer: n**(-38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 68 - -1 - -4. List the prime factors of w - (-2 - -2)\/(-5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - -1. Let c = -1.162 - -2.162. Suppose -2*t + 1 = 5. What is the closest to c in -1, t, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -22 (b) 2\/3 (c) -0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -395*j + 397*j = 512. Let h = j - 227. What is the remainder when 136 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246.520602 rounded to the nearest ten?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 499571106?\nAnswer: 499571107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 12) to base 7\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 3 - 5 - l**4 - 107559*l**2 - l - 8*l**3 + 107560*l**2 to i*l**2 + n*l**4 + y*l + c*l**3 + u and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 23338.\nAnswer: 23337.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. What is the third derivative of -10*m - m**2 - 2*m**3 + 10*m - d*m**3 wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -16 (b) 197 (c) 2\/5 (d) -1\/4 (e) -41.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g**2 - 1\/84*g**4 + 3 - 1\/280*g**5 - 13\/3*g**3 - 1\/2520*g**6 + 0*g. Let x(v) be the third derivative of w(v). Factor x(l).\nAnswer: -(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let p(h) be the third derivative of h**5\/4 - 3*h**2. Let s(a) = 3*a**2. Let l(v) = 2*p(v) - 11*s(v). Calculate g(l(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + t + 2*t = 0, 2*q - 4 = t. Suppose 0 = s + q*s - 75. Let n = s - 4. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1341*n**3 - 1622*n**3 + 7184472*n**2 - 7184474*n**2.\nAnswer: -2963*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4914 + -39369\/8. Calculate the common denominator of d and -15\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 71 = -25*k. Suppose -6*j - 23 = -k. Suppose -1162 = 6*c - j*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 2. What is the units digit of (-3 - (-44)\/z)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/9)\/j)\/j*j**(-4\/5))\/((j*j**(2\/7))\/j)**(3\/5) assuming j is positive.\nAnswer: j**(-866\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1)**(-12\/13))**(7\/8) assuming j is positive.\nAnswer: j**(-21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -634 - -1660. Suppose 762 = 4*c - q. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r**2 + 2*r**5 + 13*r**2 + (0*r + 18*r - 5*r)*(-3*r**4 - 2*r**4 + 6*r**4) - 9*r**5 + 11*r**5 + 22*r**5.\nAnswer: 39*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5121*p**2. Let j(m) = -2*m**2. Determine j(k(h)).\nAnswer: -52449282*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23966\/19953 - 35\/2956. Let v = 618 + -36983\/60. What is the common denominator of v and y?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314723277.\nAnswer: 3, 11, 19, 167317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -41 + -107 + 146 - 96.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 638389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20957?\nAnswer: 19, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-618.\nAnswer: 4326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 1658 = 68. Suppose 5*s = 116 + x. Does 20 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2168 - -2180. Let n(b) = 2*b**2 - 24*b + 9. What is n(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22425 or -22381?\nAnswer: -22425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556 - 467 = -5*l - 41*i - 1028, 3*l = 4*i + 217 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - 2*sqrt(528))\/(sqrt(432)*1) + (sqrt(176) + sqrt(176)*1 + sqrt(176) + -5)**2 + (-5 + -1 + sqrt(176) + sqrt(176) + sqrt(176))**2 + 2)*-1.\nAnswer: -3231 + 3175*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 6. Suppose -3*j - 45 = -8*j. What are the prime factors of q(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b. Suppose y + 15 = -4*y - 5*l, 10 = -2*l. Let o(m) = 3*m**2 - 8*m**y + 0*m**2 + 2*m**2. Calculate a(o(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 4*n**3 + 154500*n**2 - 154512*n - 309008 = 0.\nAnswer: -38626, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 61. Determine i(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*a - 179*a - 84*a - 98*a**2.\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780679?\nAnswer: 780679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 570*u - 639*u - 483 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*o + 0*o - 2 + 2 to j*o + u and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95423?\nAnswer: 37, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -7. Let x be ((-1)\/(-2))\/(f\/(-4)). What is the first derivative of -7*d + 5*d + 3*d**2 + 2*d + x wrt d?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4334.\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4204235*y**3 - 16*y**2 - 262799957 with respect to y.\nAnswer: -12612705*y**2 - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6 and 52\/1855.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/4 - 3320*l + 5089575\/4 = 0. Calculate l.\nAnswer: 395, 12885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 12 (c) -167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*m + 41*m = -264. Calculate the remainder when 33 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*c + 598 = 0, -5*v - 2*c = -500 - 1031. Let q = v - 294. Calculate the highest common factor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**6\/90 - q**5\/12 + q**4\/12 + 5*q**3\/18 - 2*q**2\/3 + 42*q. Factor a(y).\nAnswer: (y - 4)*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 20644.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 143961975 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169\/5 + 33. Let w = -5 + 2. Sort r, 3\/7, w in decreasing order.\nAnswer: 3\/7, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a + 10. Let j be p(2). Let y = 13 + j. What is the greatest common factor of y and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149\/267 - 20\/89. Put -1, g, 0.06 in decreasing order.\nAnswer: g, 0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -419\/3 - -10477\/75. Is 0 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s**3 - 8*s**2 - 78*s - 29. What are the prime factors of t(12)?\nAnswer: 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 - l**2 + l**2 + (-5*l**4 + 2*l**4 + l**4)*(0*l - l + 3*l) - l**5 - 3*l**5 + 2*l**5.\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.639 and -1371691.\nAnswer: -1371689.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let v = -0.01 - -3.01. Let y = -5.09 - -0.09. What is the nearest to i in -1\/3, y, v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -552604 = -11*n + 95659. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 7798*q**3 - 31234*q**2 + 39030*q.\nAnswer: 2*q*(q - 3903)*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 - 144*f**2 - 2730*f - 4900 = 0. What is f?\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(55)\/sqrt(5) + -4 - (sqrt(11) - sqrt(66)\/(sqrt(6) - -3*sqrt(6)))) + -2*(sqrt(176) + 2) + -4)**2.\nAnswer: 162*sqrt(11) + 10323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s + 5*h, -s - 2*s + h + 7 = 0. Suppose -d = -3*d - s*d. Suppose 2*p = -d*w + w + 228, 0 = -4*w. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-3\/16)\/g)\/g)\/(g**(2\/73)\/g))\/(((g*g**(1\/51)\/g*g)\/g)\/g**(-22)) assuming g is positive.\nAnswer: g**(-1384033\/59568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000028694 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0118 times 38.3\nAnswer: 0.45194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxupipiixxpbxprxiipb. Give prob of picking 1 i and 1 r.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from sfqlccdslfsdll?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -9 + -12 + -5 - -2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + a3151?\nAnswer: a3156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:56 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*j + 20 = 0, -5*d - 4*j = 70 - 86 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -104, 5, 276, -8, 3 in increasing order.\nAnswer: -104, -8, -4, 1, 3, 5, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 2*b - 201*b**2 - 284*b**2 + 285*b**2 to x*b + u + o*b**2 and give o.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/1120 - n**7\/70 - n**6\/10 - 2*n**5\/5 - n**4 - n**3\/2 - 5*n**2. Let z(r) be the first derivative of w(r). Factor z(d).\nAnswer: -3*(d + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 13\/60*p**5 + 0*p**3 + p**2 + 0*p**4 + 0*p + 0. Does 13 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(11) - ((sqrt(44))**2 + sqrt(11)))*-5)*6 - (sqrt(11) + -1 + 5 - (sqrt(22)\/(sqrt(2)*-1))**2).\nAnswer: -sqrt(11) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53156 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 439398344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31))**(-1\/6) assuming u is positive.\nAnswer: u**(-1\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33330*i*q + 28*q + 82 wrt i.\nAnswer: -33330*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (sqrt(891) - (sqrt(891) + -2)) - sqrt(891))*4 + -4 + -5 - (sqrt(891) + -3 + -5 + 5*(sqrt(891)*2 - sqrt(891))))**2.\nAnswer: 972*sqrt(11) + 32157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - v + 5*v + 4 = 0, 2*z = v + 7. Let w be 0 - z*(3 + -5). Solve -w*r = -m + 1, r + 12 = -3*m - 2*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*d + 188. Suppose 2*b - 5*z - d = 0, 25 = -z - 4*z. Let c(w) = w**2 - 3*w + 4. Calculate the remainder when c(-4) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let z be 1\/i + 477\/6. Let b be (0 - (-12)\/9)*24. Calculate the highest common factor of b and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 7*m + 3. Let x be 4\/(-5)*(-75)\/10. What is j(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(-2*h - h + 2*h) - h + 2*h - 3*h)*((6 - 2 - 3)*(-1 + 37 + 27) - 3 + 1 + 1).\nAnswer: -186*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 35 + 21)*(3 - 2*q**3 - 3)*((0 + 2*q + 0)*(5 - 3 - 1) - 3*q + 4*q + q)*(3*q + 3*q - 4*q).\nAnswer: -1328*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*232\/(-1218)*7?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 924\/5 - 185. Suppose 2*r - 24 = 6*r. Which is greater: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*98\/588*-2*1*112\/8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1960128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -23*w**4\/12 - 218*w + 1. Let h(x) be the third derivative of 0 + 0*x**3 + 1\/12*x**4 + 0*x + 2*x**2. What is i(h(r))?\nAnswer: -92*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 55, 79, 103, 127?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -8)*(-214)\/(-23326)?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17142*n + 18964*n - 7165*n - 5039*n to o + q*n and give q.\nAnswer: 23902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 265473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2. Let x(m) = -623*m**2 - 12*m. What is x(j(q))?\nAnswer: -9968*q**4 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 5*f + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 197497756 from 1638771.\nAnswer: -195858985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.0289 from 3159.\nAnswer: 3161.0289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1188 + 1199. Suppose -2*v + 4*h = -0*h - 26, 4*v - 36 = 4*h. Sort v, j, 3 in ascending order.\nAnswer: 3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 1:18 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 15, i: 2, b: 3}. What is prob of sequence nnbi?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 217 = -187. What is the remainder when q is divided by ((-52)\/(-6))\/(6\/18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4555, -9110, -13665, -18220, -22775?\n\"Answer: -4555*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 205 + 7. Suppose -2*x = 3*w - m, 3*x = -0*x - 2*w + 62. Suppose -15*l = -x*l + 1521. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8594*j**2 - 6*j - 160. Let a be w(-16). What is a rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bggg when four letters picked without replacement from {g: 3, b: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11630422609 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 32 = -4*a. Let c be ((-60)\/16)\/(12\/a). Solve -4*z + 4*b - 20 = 0, -z - 3 = z + c*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/4 (b) 2\/5 (c) 0.06 (d) 1.19 (e) 0.1 (f) -1476\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x. Let q(w) = 2096*w. Calculate q(g(p)).\nAnswer: 33536*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -52*v**2 - 48*v - 48. Let r(u) = -2*u**2 - 2*u - 2. Let y(j) = -g(j) + 24*r(j). Let l(o) = -131*o - 2. Determine l(y(w)).\nAnswer: -524*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/6) + -2. Let c(a) = a**2 + 9*a + 1. Let w be c(-9). Is v\/((-108)\/(-106) - w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 53 - 7 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.23 - 3602.77. Let n = y + 3491.1. What is n rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -182958.\nAnswer: -182978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + -5.79. Let p = 2 + s. Put 3, p, -1\/5 in decreasing order.\nAnswer: 3, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s - 2*s + 2 + 3*s + s. Let k be y(0). Factor -4*n - 6 + 0*n + 3*n**2 + 0*n - n**k.\nAnswer: 2*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5292662 + -1.7.\nAnswer: -5292663.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3059657817 to the nearest integer?\nAnswer: 55314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(((-1)\/(-1))\/(741\/19))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 10*y**2 - 16*y + 20. Let d(b) = -b**3 + 3*b**2 + 4*b + 4. Calculate the lowest common multiple of s(8) and d(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 108.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + 348807?\nAnswer: 348714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -32*k**2 - k. Let q(l) be the third derivative of -13*l**4\/6 + 154*l**2 + l. What is q(v(d))?\nAnswer: 1664*d**2 + 52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27857 minus 1379296.9?\nAnswer: -1407153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748418205.\nAnswer: 3, 5, 5563, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70\/381 - 2363\/2032. What is the common denominator of 127\/72 and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**3*k)\/k)**39*(k**(-9\/7)\/k)**(-48) assuming k is positive.\nAnswer: k**(2406\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 94*l + 44*l + 52*l)*(0*l**2 + 5*l**2 - l**2) + 9*l**3 - 9*l + 9*l + (0 - 1 + 2)*(0*l**2 + 3*l**3 + 0*l**2).\nAnswer: 20*l**3 - 88*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - 220. Let l = 232.5906246 + -97.5906088. Let j = k + l. Round j to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303121130 - 3?\nAnswer: -303121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d - 4. Let i be m(-8). Let b = 6 + -3. Solve i = -a - b*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 7*t**2 - 4*t + 7. Let b be w(-6). Let k = b - -13. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11640904, 4\/5, -1.2, 5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 829 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 889190680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4202144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 230*s**2 - 3654*s + 15714.\nAnswer: -2*(s - 97)*(s - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44.9 times 4.4\nAnswer: 197.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 15. Let u(a) = 2*a**3 - 9*a**2 + 4*a + 3. Let b be u(4). Sort b, n, 0 in decreasing order.\nAnswer: b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*j + 201, -5*j - 2*f - 335 = -f. Let i = j + 230. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(200)*1*6 - sqrt(200))*-6)**2.\nAnswer: 6480000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3 = -3*u - g, g = 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rexr when four letters picked without replacement from xxxpxexxrxpxxrxx?\nAnswer: 11\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(704))**2 - sqrt(11) - sqrt(11)) + (sqrt(99))**2 + sqrt(11) + 5 + -4.\nAnswer: -sqrt(11) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10995, 21693, 32391, 43089, 53787, 64485?\n\"Answer: 10698*w + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 529\/21 + -536\/21. Sort -3, 72, v, 3 in increasing order.\nAnswer: -3, v, 3, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(25)\/(sqrt(5) + sqrt(25)\/sqrt(5)).\nAnswer: -5 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -689 = -689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d. Let a(m) = -1700*m**2. Give a(g(n)).\nAnswer: -108800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*v**4*x + v**4 - 9*v**3*x - 330*v**3 + 5*v**2*x - 2*v**2 - 229*v - 24*x wrt v.\nAnswer: 480*v*x + 24*v - 54*x - 1980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.1 (c) 2\/3 (d) 0.5 (e) 28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 14773.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 71863 in ascending order.\nAnswer: -4, 3, 71863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 41 - 48 + 86.\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 27. Let v be i(13). Let x be (2\/(-4)*v)\/(4\/40). Solve -2*f + 31 = x*g, g = -2*f - 2*g + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g\/(g*g**(-1\/12)))\/((g\/(g*g*g\/(g*(g**7\/g)\/g*g)))\/g**(4\/9)) assuming g is positive.\nAnswer: g**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(397\/5)\/(22\/55). Let c = o + 1575\/4. Which is smaller: c or -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 874?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -293*q + 294*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14621, 58500, 131633, 234020, 365661, 526556, 716705?\nAnswer: 936108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41852*c**3*m - 2*c**3 - 2*c**2*m - 152426*c**2 wrt m?\nAnswer: -41852*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -118. Suppose q + 55 = 2*x, -d = -0*x - 5*x - q. Let p = x - 44. Is p bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-273*t**2 - 625 + 625)*(4*t - t + 60 - 56).\nAnswer: -819*t**3 - 1092*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1\/10, -3, -18, -12, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 - (-92840)\/(-46415). Let h = m - 807593\/129962. What is the common denominator of h and 23\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58881932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3. Let k(t) = 2*t**4 - 16*t**3 + 48*t**2 + 1. Let n = 59 - 56. Let r(o) = n*x(o) - k(o). What is the third derivative of r(i) wrt i?\nAnswer: -48*i + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270115777 to the power of 1\/3, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1834456.102 + -0.7121.\nAnswer: -1834456.8141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*b - 16*b**2 + 40*b + 1 + 35*b.\nAnswer: -16*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14820, 29761, 44702, 59643, 74584?\nAnswer: 89525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - h)*(-4*h + 3*h + 3*h)*(-2*h - 2*h + 5*h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 11. Suppose 0 = -2*r - 4*o - 4, 4*r - 2*o - 2*o = 4. Suppose 0 = -3*v - r*v. Determine j(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111310000 (base 4) in base 16?\nAnswer: 15d00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - b**2 + 3*b - 1. Suppose -2*c = 4*g - 8, 0*c + 8 = 2*c - 3*g. What is a(c)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2134 = 3*l - 68, 2*j + 3*l - 4132 = 0. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z + 3*z**2 + 2*z + 50*z**3 - 48*z**3. Let p be k(-3). Let f = p - -20. Solve h - 4*m + 9 = 0, -4*h - f*m + 12 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*p - 50. Let s(q) = -q**3 - 11*q**2 - 9*q + 14. Does 2 divide s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuu when three letters picked without replacement from uuupuuaafipiiauii.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 13584.\nAnswer: 27168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (-1*2*sqrt(77) + sqrt(77) - sqrt(77)))\/(sqrt(7)*6*-4).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 568 = -4*l, -h + 3*l - 41 = 113. Which is smaller: -143 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 15 = -n. Let j(v) = -2 + 2 + 4 - n. Let b(c) = c - 6. Let s(o) = 3*b(o) - 15*j(o). Determine s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-147)*7*6. Which is the nearest to 2? (a) 0.4 (b) -1.7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5254?\nAnswer: 2, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 4*p + 0*p)*(1 + 0 - 2) + (p + 3*p + 0*p)*(2 - 2 - 2))*(0*p**2 + 3*p**2 - p**2).\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/10*(2\/2 + 9). Suppose 0*j + 8 = 4*o - 2*j, 6 = 3*o + 4*j. Solve 3*h**o - y*h**4 - h**2 + 20*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 754080 divided by -1571\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v. Solve 2*g + v + 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 17 = -3*n, 2*r + 1 = 5. Suppose -n*p - 30 = -9. Does 6 divide p*1*(-3)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggfffgfqqqqfqfgwf. What is prob of picking 1 w and 2 f?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11836 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 - a0?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) - 20\/(-9). Suppose w*f - 9 = -5. Suppose f*v - 96 = 146. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 26\/15 (c) -0.104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -512329.6 less than 108.2606?\nAnswer: 512437.8606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011 divided by -5011?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 93 - 44 - 3*v**2 - 47 + 3*v**3 in the form w + h*v**3 + r*v + z*v**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.793787 millimeters?\nAnswer: 8793.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iirijkrrrkjrijrirj. Give prob of sequence jki.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8650*v - 8659*v + 17310*v. Let o(n) = -n + 4*n - n. Give o(h(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1047586648 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/2)*d*d*d**5 assuming d is positive.\nAnswer: d**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + -3 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37227 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326685351 + 225.\nAnswer: -326685126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8246 - 8329.98. Let d = 83 + q. Let m = d - -0.98. Which is smaller: -13 or m?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-176)\/(-16))\/(-11))\/((-2)\/10))\/(-4).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -50534.\nAnswer: -3\/25267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 4 + 2, 0 = 5*y + 4*m + 37 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {z: 3, c: 9, v: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 h when two letters picked without replacement from {v: 1, s: 4, p: 1, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551 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: Suppose -5*s**4 - 868*s**3\/5 + 263*s**2\/5 + 126*s = 0. Calculate s.\nAnswer: -35, -18\/25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3810826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100a2 - 4?\nAnswer: 10099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/9 in 1\/3, 36, 188, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, 3765, 45, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111 or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -107270 by 2.\nAnswer: -53635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11940971, 23881945, 35822919, 47763893?\n\"Answer: 11940974*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:02 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 + 3*i**2 + 3*i + 2. Let b be k(-3). Let w(o) = o**3 + 5*o**2 - 8*o - 8. Let f be w(-6). Suppose f*z + 37 - b = 0. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 4*a**2 + 2. Suppose v = -21*k + 16*k + 21, 5*v + 2*k = 36. What is the smallest common multiple of y(4) and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 4)\/((-3)\/2). Suppose -g*o = 2*o - 732. Suppose -79 = -i - i + q, 3*q = -4*i + o. What is the greatest common divisor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 5*d**2 + 20*d + 21. Let q be f(17). Suppose 16204 = 7*s + q. What is the first derivative of -1318*x**2 + 0 + s*x**2 - 32 wrt x?\nAnswer: 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 12*u**2 - 2*u + 1. Let h be i(12). Let k = h + 20. Which is the biggest value? (a) 5 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134786 is divided by 3056?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 4*v**3 + 20*v - 7*v - 6*v - 23*v.\nAnswer: -4*v**3 - 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 279 in 5, 0, -2, -1, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 116.32. Let q = i + 154.32. Let o = 151.000069 - q. Round o to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 312 = d. Suppose d = 2*t + 2*t. Calculate the remainder when t is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 + -67. Suppose -5*g - 3 = -h*q - 9, 2*g + 5*q = 9. What is the units digit of 0 + g + -2 + 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -1\/2*w**4 + 11 + 0*w**3 + 2*w**2 + 0*w. Let f(z) = 4*z. Calculate o(f(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/22 and 103\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5723 + -5714. What is the remainder when 239 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6439 divided by 12074\nAnswer: 6439\/12074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-6)*((-4)\/1)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2)**(-7)\/(m**(-8\/5)*m*m**(-7)\/m*m) assuming m is positive.\nAnswer: m**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 115, 184, 287, 436, 643, 920, 1279?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (51\/15 + -2)*5. Let k be 1 + (0 + 2 - -1). Suppose -k*c = -3*c - v. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -67?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 - 6. Let q(k) = -17*k + 32*k - 9*k. What is j(q(p))?\nAnswer: 180*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 + 225*y**3 + 933*y**2 + 1179*y + 474 = 0. What is y?\nAnswer: -2, -1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21 or 1481?\nAnswer: 1481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 - 24 = 0. Let n be ((-4)\/q)\/(6\/9). Solve 5*j - 1 = -0*w + 2*w, n*j - 4*w - 10 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*x - 4*t, -5 = x - 4*t + 2*t. Suppose -f - 36 = -6*q + 2*q, -x*q + 3*f + 27 = 0. Suppose -n - q = -4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 8*b + 4. Let n be x(7). Calculate the least common multiple of (8\/64*8)\/(n\/(-27)) and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 1. Let d(t) = -199*t - 30. Let j(q) = -d(q) + 4*k(q). Let o be j(-6). What is the tens digit of o\/(-17) + (-2)\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5 - 18*c**4 + 54*c**3 - 54*c**2 = 0 for c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -16. Let u = j - 9. Let d be 0 + 1 - u - 2. Solve -d*i - 4*v = -7*i - 33, -3*i + 3*v = 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 5*d**9\/12 - 617*d**5\/15 + 169*d**2 - 1. Find the third derivative of n(l) wrt l.\nAnswer: 25200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 >= 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -24580*g + 270335. Give w(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6677\/12 - -556. What is the common denominator of -31\/60 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 + 43. Let d be ((-12)\/(-10))\/(9\/30). Are d and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/4890 and -37\/90.\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-14)*(-2)\/(-45)*-21. Let s(w) be the first derivative of -b*w + 2 - 6\/5*w**2 - 1\/5*w**3. Suppose s(n) = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30732 is divided by 136.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0212705758 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*350\/(-21) - -33.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889 divided by -963?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -124, -139, -148, -145, -124, -79, -4, 107?\n\"Answer: z**3 - 3*z**2 - 13*z - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnxnx. Give prob of sequence xnnn.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 87\/290 - 2\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50\/(-90) + (-50435)\/(-63) is divided by 255?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168.0000003763 - 168. Round r to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2. Let w(y) = -2*y**2 + 31 - 23 - 8. Give j(w(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51737860 to the nearest integer?\nAnswer: 7193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.2605 - 75737.\nAnswer: -75757.2605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 0.4, 21\/10 in decreasing order.\nAnswer: 21\/10, 0.4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0, 0.5, -10\/9, 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 47 - 3ee?\nAnswer: -3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*(-8)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 827 divided by 10609\nAnswer: 827\/10609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 + 11*b + 6. Let l be s(7). What is the third derivative of -8*i**4 + l*i**4 + i**2 + 4*i**4 + 5*i**5 wrt i?\nAnswer: 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*f**3 - 4*f**2 + 2481*f**3 + 2*f**2.\nAnswer: -13*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 951091 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2159 and 5.\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-3\/7))**(11\/4)\/((s*s*s**(-1\/5))\/(s\/(((s**(-4)*s)\/s)\/s))) assuming s is positive.\nAnswer: s**(569\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/1)\/6)\/(2\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*c**2 - 4 + 0 + 16*c**3 + 2*c**2 as t*c + h*c**3 + q + v*c**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6104417430 to the nearest one million.\nAnswer: 6104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 8*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 12:02 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-2 - 0) + 939 + -938\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11729 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -27, -37, -47?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.4, 0.4, -15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 2)*2\/4. Let z be ((-1)\/1)\/(j\/6). Let y be 1\/(-2)*2 - z. Solve 4*b = -11 - y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 6*x**2. Let l be j(6). Let h(g) = -g**3 + g**2 + 3*g + 2. Let n be h(3). Is 18 a factor of (l - 7)*1*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.07231705329 and 2.35?\nAnswer: 2.27768294671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 6690?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(14)\/sqrt(2) + sqrt(7)) - sqrt(13) - (sqrt(325))**2*-4.\nAnswer: -sqrt(13)\/2 + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c + 24. Let g(f) = -22*f - 138. Let h be g(-4). What is the remainder when 120 - 10\/h*-10 is divided by o(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 12792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(28) + 1 - (-2 + sqrt(847) + 3))**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31572544 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31738*l**2*r**4 + 384*l**2 + 42*l*r wrt r?\nAnswer: 380856*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 11:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3.1, 16, -1086?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94552315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/15 + (-148)\/(-20). Let r be (-1 - -2 - -1)*32. Suppose c*u - 4*u = r. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 3*d. Let z = -28 - -26. Determine y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 10*r = 6*r + 255, -4*a - 4*r - 73 + 9 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k**3 + 1 - 24*k**3 - 37*k**3 + 17 - 18.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/b**(-4)*(b**(-1))**(-3\/25)*(b*b**(-1)*b*b*b)**(-1\/87)\/(b**(3\/4)\/((b*b**(3\/2)\/b)\/b)) assuming b is positive.\nAnswer: b**(14023\/2900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2. Let v(t) = 8*t - 39. Let l(k) = -k + 6. Let g(y) = -14*l(y) - 2*v(y). Calculate g(b(j)).\nAnswer: 8*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8232\/39396*26\/182?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 28 (b) -7 (c) 15\/8 (d) -28 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(2\/5)*f))*f)**1*(f*f**(-1\/11))\/(f\/(f\/((f\/f**(-8))\/f))))\/(f**10\/f*f**(-13))**29 assuming f is positive.\nAnswer: f**(6122\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-264)\/(-66).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45718514 is divided by 6601.\nAnswer: 6589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2100) + sqrt(2100)*-5 - sqrt(2100))\/((sqrt(847) - (sqrt(847) + -1*sqrt(847))) + sqrt(7) - sqrt(7))*4.\nAnswer: -200*sqrt(3)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h\/h**(-3)))\/h**(-2\/19))**(1\/18)\/((h\/h**(2\/11)*h**(-1\/3))\/((h\/h**(-6))\/h*h**8)) assuming h is positive.\nAnswer: h**(50657\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/1 + -765 + 756?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 209, -1.4, 4.3, 2\/7, 0.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*s**2 - 9*f*s - 10*f - 33*s**5 wrt s?\nAnswer: -2*f - 660*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31671, 5, -16\/7, -3\/4.\nAnswer: -16\/7, -3\/4, 5, 31671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/7470876?\nAnswer: 1\/7470876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3532 - -5149. List the prime factors of h.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 0.3. Let r = -13.9 - -13.69. What is the biggest value in r, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 760920916 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 1748.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.77917cm to nanometers.\nAnswer: 97791700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*z**2 + 39*z**2 - 248*z**2 - 1209*z**2.\nAnswer: -2536*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 46*h + 13*h + 1 - 34*h. Give p(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 20, 0 = -w - w + b - 36. Is 3 - w - (-2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -109 and 188.2355?\nAnswer: 297.2355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13752 + 4103 = -529*i + 14685 for i.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 29 + 4719\/(-195) - (-1 - -3 - -2). Let -2\/5*j**5 - 8\/5*j**3 - x + 8\/5*j**4 + 2*j - 4\/5*j**2 = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*c**2 - 18*c**2 - 13*c**2)*(-c**2 - c + 0*c + 3*c**2).\nAnswer: -40*c**4 + 20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**0\/m)*m)**(-12\/13)*(m**1)**(-39) assuming m is positive.\nAnswer: m**(-555\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 29. Let k be t(16). Let p(j) = j**3 + 2*j**2 - 5*j - 1. Let l be p(k). Calculate the greatest common divisor of 232 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*h + 3*h. Solve h*m = -4 - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110010110 (base 2) to base 3.\nAnswer: 2122221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 813 = 80*m - 2787 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) 0.04 (c) 4 (d) -2\/7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 555940 and 14476.\nAnswer: 26129180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p - 15. What is the remainder when n(6) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(-3*b**4 + 4*b**4 + b**4) + 2*b**4 + 5*b + 0*b**4 + 0*b.\nAnswer: 6*b**4 + 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - v**3 + 2*v**3 + (3 - 2*v - 13 - 10)*(-76*v**2 - 77*v**2 + 89*v**2) as i*v + r*v**3 + a*v**2 + z and give a.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k**2. Let w be (-108)\/(-51) - (-22)\/(-187). Let j(n) be the third derivative of 0 + 0*n**4 - 2*n**w + 1\/30*n**5 + 0*n + 0*n**3. What is j(q(f))?\nAnswer: 450*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by -25904\nAnswer: -185\/25904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*u + 3624, 4*u - 891 = -t - 0*u. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 45, 113, 249, 477, 821?\n\"Answer: 4*v**3 - 2*v**2 + 2*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 17. Let f = -1919 - -1921. Sort f, 1, s in decreasing order.\nAnswer: f, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:03 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(64)\/sqrt(2))**2 + 1 + ((-1 + sqrt(288))*4 - (sqrt(288) + 1 + -2))**2)*-1.\nAnswer: -2637 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.400526 millennia to centuries.\nAnswer: 84.00526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1108246 or -32139150\/29?\nAnswer: -32139150\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, c: 4, j: 3, r: 4}. What is prob of sequence frcf?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u*(u*u**(-5))\/u*(u**(4\/5))**(-1\/55) assuming u is positive.\nAnswer: u**(-3029\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 - 7*c + 34. Let a(b) = 18*b**2 - 20*b + 100. Let r(i) = -3*a(i) + 8*q(i). Let v(k) = k**2 - k - 1. Let z(o) = -r(o) - 5*v(o). Calculate z(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.7 - -3.05. Let w = -4.35 + f. Let r = 0.33 + -0.33. Which is the closest to -0.07? (a) 2 (b) r (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + sqrt(1900)*-2 + -4 + 2*sqrt(19))*-6.\nAnswer: 24 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = x - 2*q - 5, 5 = -q. Let v = 11 - x. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**2 - 7959*l + 521664 = 0?\nAnswer: -2717, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13105037 (base 8) to base 4.\nAnswer: 23020220133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24286578 and 20?\nAnswer: 242865780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve -171*r + 169*r = 18 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496511 is divided by 123630?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Suppose 0*h + b*h - 72 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344161 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*d**5*h - 5210*d**4*h - d**3 + 3*d**2 - 4*d + 2*h wrt d.\nAnswer: -180*d**2*h - 125040*d*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3517654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z + 2. Let g(b) = 26*b**2 - 5*b - 4. Give g(d) + 2*j(d).\nAnswer: 24*d**2 - 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l - 69*l = 341 - 983 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401688?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41466328?\nAnswer: 2, 5183291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z**2 + 6. Let f(v) = v + 22. Let x(s) = -2*s - 44. Let u(o) = -13*f(o) - 6*x(o). Let i be u(-16). Let c(w) = 1. Give i*c(h) + r(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -150 + 150 - (-1 + 10 + -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/(-2) + 1\/(-2). Suppose -2*i + q = i. Suppose -4*t = -3*d + 7, 2*t - 2 = -d + i*t. What is the remainder when d is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -159, -411, -663, -915?\n\"Answer: -252*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 + 17*u**2 + 35*u**2 + 12*u**2.\nAnswer: 58*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 816, 1407, 1836, 2103, 2208?\n\"Answer: -81*z**2 + 834*z + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*k + 2*w, 2*w - 187 + 211 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 9. Let d be r(-6). Let q = 2 - d. Let y(s) = 5*s**3 - 3*s. Let w(t) = 10*t**3 - 5*t. Let n(u) = 6*w(u) - 10*y(u). What is n(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28373, -28354, -28325, -28280, -28213, -28118, -27989, -27820?\nAnswer: -27605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Suppose -7 = 5*u + j*r, -2*r + 7*r + 18 = 3*u. Solve -5 = 3*z + u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 2*v - 6*v)*(-5 + 0 + 3)*(3*v - 3*v - 2*v)*(2*v**2 - 2*v**2 - 4*v**2) in the form p*v + u*v**2 + b + s*v**3 + r*v**4 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**14*x*x**(-12))\/(x*x**(-8)\/x*x**(-1\/9)) assuming x is positive.\nAnswer: x**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -344588 (c) -0.1 (d) -1 (e) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -31\/15*r**5 + 0*r**6 + 0*r**4 + 0*r + 96*r**2 + 0 - 37\/70*r**7 + 0*r**3. What is the third derivative of n(i) wrt i?\nAnswer: -2664*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 - s**2 + 2*s - 1. Let f be a(1). Let l be (-2)\/(-24) + (-3)\/((-324)\/531). Solve l*b - f = 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4871 divided by 5?\nAnswer: -4871\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -5*i, -5*i - 10 = -5*m - 3*i. Let a be 2\/4*4*m. Let f be -2 + a + (0 - -1). Solve 2*x - 14 = 4*o, -x - f*o = 4*x + 17 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636776179?\nAnswer: 13, 37, 103, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11563355.\nAnswer: 5, 229, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 28 = -44. Suppose m - 4*m = -v. Calculate the greatest common factor of 32 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 72837*q - 5403. Is j(40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bti when three letters picked without replacement from ebceccieeitbbteecee.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 433077632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/5)\/m**(3\/29) assuming m is positive.\nAnswer: m**(-102\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -28, -45, -78, -133, -216, -333?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -97*z + 100*z + 21, 5*m + 2*z = 0. Let d = 8 + -4. Suppose -d*g - 3 = -5*g. Solve -g*x = -2*w + x - m, -4*x + 3 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 5103?\nAnswer: 5103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, -5, 0, 3, -4 in decreasing order.\nAnswer: 306, 3, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 70994184 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 3\/3 - -5. Let m(n) = 5*n - 37. Let o be m(h). Sort 1\/3, 2, o in descending order.\nAnswer: o, 2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-12) + (-2066)\/(-4). Suppose -a = 159*t - 166*t. Suppose 3*c + 2*y - 214 = -0*c, 5*y = 4*c - 316. Is c > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 7*c - 22. What is u(7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 - -12 - (11 - 86).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10823200 rounded to the nearest 100000?\nAnswer: -10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 - 2864 - x**2 + 2864.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 387408 - 387400.29596. Let p = -7.7 + d. What is p rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t - 2314 = 350. Calculate the lowest common multiple of t and 4203.\nAnswer: 16812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axlllxlxxxialiyxn. Give prob of picking 1 i and 2 x.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32.1 - 5.9. Let f = 37.99999959 + l. What is f rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3217033671 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6344*n + 157. Give d(1).\nAnswer: 6501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -288.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11.8 (b) 1\/5 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21505*m - 21505*m - 5*m**2.\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-9))\/(t**14*t*t) assuming t is positive.\nAnswer: t**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0*n - 2*n**2 - 1\/6*n**4 + 1\/2*n**3 + 8 - 1\/30*n**5. Calculate c(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 841 is divided by 108?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9427 - 2371 = -2*b. Let h be -3 + b\/(-875) - 1. Which is bigger: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tdqqtqqqqqttqqqqt?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let t(k) = k. Let a be 1\/(-2) + 90\/12 + 0. What is a*t(n) - 3*m(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 11, i: 2}?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(108\/(-8))*18\/(-16).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 33 = -5*r, 0 = -0*r - 4*r - 3*m + 33. Let s = 9 - r. Suppose -8*k = -s*k. Solve k = -3*i + 4*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u**2 + 6*u**3)*(-3*u**2 + 4*u**2 - 2*u**2) + (-3 + 3 - u)*(1 - 1 + u**4) - u**5 - u**5 + 0*u**5.\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 117*x + 1639. What is the remainder when 1322 is divided by w(-69)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:33 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152 - -147. Let y be 1\/(-4) - ((-6)\/24 + f). Solve -y*c + 1 = 3*w, 0 = 2*w + 3*c - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1039\/4 + 3113\/12. What is the fifth smallest value in h, 0.1, -4, -21, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21012021 (base 3) to base 13\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahh when three letters picked without replacement from aaphrah?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34c848 + 4?\nAnswer: -34c844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/2*(-2)\/(-5). Suppose n*l - 364 = -2*l. Suppose l = 5*h + 16. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11740 and 1711692?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*4\/(-84))\/(-621*9\/567)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -366747, -0.3, -1\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2324 is divided by 139.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5088114 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0*u**2 + 2*u**2 + 0*u**2. Let y(t) be the first derivative of -9*t**2\/2 + 1. Calculate y(w(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 666531 (base 8) in base 7?\nAnswer: 1623546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50243228 and 2307087?\nAnswer: 452189052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 6*w + 2. Let p(u) = u - 100*u**2 - 4 + 5*u + 105*u**2 + 7*u. Determine -9*j(o) - 4*p(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/26333557 and -79\/6.\nAnswer: 158001342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r)**(-5\/2)*((r*r**1)\/r)**31*r**(-5\/4)*r**5\/r*r\/r**(-2\/5)*r*r*r**(-1\/2) assuming r is positive.\nAnswer: r**(733\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b - 1 + 2 + 0 + 0*b + b + b + (-5 + 1 + 2)*(-2*b - 4 + 4).\nAnswer: 12*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 356*w - 3912. What is y(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 2:35 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6)*((-9)\/9 - -2). Let s = -1.1 + 1. Which is the nearest to g? (a) 3 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2818 + 342 - (6 + 0). What is g rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvbdxkdvddxvbbdx. What is prob of sequence bsxd?\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*-2*sqrt(605) - ((sqrt(605) - (2*sqrt(605) + -2)) + sqrt(605))) + 6*(sqrt(605) + 1) + 1 + sqrt(605) + 4)**2 + -1)*-3.\nAnswer: -2055 - 594*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -2, -0.04, -0.1, 1 in ascending order.\nAnswer: -2, -0.1, -0.09, -0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(6\/3)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3058 or 3094?\nAnswer: 3058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(9\/((-495)\/(-32)) + (-2)\/11)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 101 = -398. Let g = p - -33. Solve o + o + 5*u + 11 = g, -2*o + 13 = -3*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -56 - 28. Suppose m = 6*f + 3. Solve -4*h - 2 = 2*p, f*p - 4 = -4*h - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1545.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + 25*r + 24. Let h be u(26). Let b(o) = -o**3 - 2*o**2 - o - 2. Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133049341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -822380000 rounded to the nearest one million?\nAnswer: -822000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0133 + -11776.4526\nAnswer: -11776.4393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0794514 - 9597.\nAnswer: -9596.9205486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 20, 2 in decreasing order.\nAnswer: 24, 20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1.456551\nAnswer: 0.456551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 2, e: 1, l: 5, r: 6}. What is prob of picking 2 r and 1 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42611441 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -6, 265, -5 in descending order.\nAnswer: 265, 4, -5, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 2928\nAnswer: -7\/976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -5 (b) 0.4 (c) 1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 58061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 5 (c) -199 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:44 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**5 - 104*m**4 - 456*m**3 - 704*m**2 - 476*m - 120 = 0.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-35))\/((-8)\/(-10))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -8297117?\nAnswer: -10\/8297117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 7*t + 47. Suppose -3*k + 36 = 3*w, 2*k - 10 = 3*w - 41. Let f be b(w). Solve -m + f*m = 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 28\/(-6 + 10). Suppose t*b - 7629 - 10906 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q + 6. Let j be ((-4)\/(-2) - -3) + 0. Suppose j*w = 11 + 4. Suppose 3*z + w*i = -24, 3*z - 4*i = -i - 6. Give s(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/193805 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 - 17*d**2 + 0*d**2 + 5*d**2 as y*d**2 + i + l*d and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (171748\/12 - 3)*((-189)\/(-42))\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 i when four letters picked without replacement from {i: 3, g: 1, w: 5, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a10 + -a68?\nAnswer: 1a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(117)*5.\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8979339271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.076 + 0.124. What is the third biggest value in 1\/34, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1924*p - 1. Let f be l(-7). Suppose 9983 + f = 5*y. Let b = y + -28055\/6. Calculate the common denominator of b and 9\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/22, -0.3, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 611 + 929 = 0. Let l = -120 + b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**7\/5040 + r**6\/72 + r**5\/15 + 5*r**2. Let j(i) be the third derivative of s(i). Calculate j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*a**4 + 9*a - 36*a**4 + 3*a**2 - 4*a in the form g + c*a**4 + d*a**2 + n*a**3 + b*a and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*j + 30265 - 29329 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 4180 = -134*p - 1449 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 200*y**2 - 4*y + 195*y**2 - y**3 + 2*y + 46 - 395*y**2 as r*y + m*y**2 + j*y**3 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*m + 176 = 650 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-1 - 2 + 7)*(3*g - 2*g + 4*g) as q + c*g and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26111 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230266?\nAnswer: 2, 115133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*k - 203*k - 10528 = 220*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1130 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g*p - 171*p wrt g?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 i, and 1 q when three letters picked without replacement from {l: 2, d: 4, c: 1, q: 1, i: 3, a: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129413 is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + 0*b)*(-2*b**4 - b**3 + b**3).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u + 2. Let q be a(4). Let r = q - -17. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 2. Let z(o) = o**2 + 8*o + 2. Let k be z(-8). Suppose 2 + l = h, 2*n - 2*h = -k. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 278.7 + -275.9. What is the closest to 0 in 5, -2\/3, 3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.6 (b) 1 (c) 4 (d) -130 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-4*k**4 + 3*k**4 + 0*k**4) + k - 18*k + 350*k**4 - 3*k + 4*k - 14*k.\nAnswer: 352*k**4 - 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.6 - -4.4. Let s = -89.901 + 5.531. Let z = u + s. Round z to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20983623 - -0.2.\nAnswer: -20983622.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1376 + -1964. Do -587 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, g: 16}. What is prob of sequence ggw?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*p + 4*w, w = -0*p - 2*p - 6. Sort p, -7, -10 in decreasing order.\nAnswer: p, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202 + -4204 - 5\/1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:34 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 5*z - 2. Suppose -5*j - 60 = 3*d - 2*d, -2*j - 2*d - 24 = 0. Let i = 7 + j. Determine t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 26\/4)*1\/(-3). What is the nearest to 0 in -1\/4, 3, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1577 (base 11) in base 3?\nAnswer: -2202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10953008 is divided by 1790.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22742 and 5696863.\nAnswer: 5674121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a - 3576 = -102*a - 362*a. Calculate the highest common divisor of 35984 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvttttttvtttttt. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 256 + -234?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -27*c + 88 - 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 207\/4. Let p = 761\/15407 + -26\/217. Let m = -67\/1065 + p. Which is the second biggest value? (a) m (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -243, -485, -727?\n\"Answer: -242*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) - 13\/5. Let v(y) = -y - 2. Let h be v(0). Put 5, h, j in ascending order.\nAnswer: j, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 - -1)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185262 is divided by 92625.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -3.3. Which is the nearest to i? (a) -2 (b) -2\/3 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81931 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 9, what is -6016 - 265782?\nAnswer: -272808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -28*p. Let v(g) = -g. What is v(s(o))?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6291, -25319, -57025, -101403, -158447, -228151, -310509, -405515?\nAnswer: -513163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 4*r**2 - 6*r - 3. What is s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -13c6bc0?\nAnswer: -13c6bc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11786753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2, 4\/9, 219\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 74, -23 in decreasing order.\nAnswer: 74, 5, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 2*c - 3*c)*(5*c**2 - 4*c**2 + 5*c**2 + (-c - c + 0*c)*(-2*c + 6*c - 2*c)).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 35.48.\nAnswer: 816.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 - 640 = -10*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 246 or 0.2?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 889 - 5*q**3 - q - 2*q**2 + 3*q**3 - 888 + 2*q**4 + 0*q**2 + 4*q**4 as v*q + i*q**3 + z + c*q**4 + a*q**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57827115, -115654237, -173481359, -231308481?\n\"Answer: -57827122*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.085 in 0, -3\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 61. Let m = 101 - f. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/5 - (-452)\/(-6). Let p = i + 401\/6. Calculate the common denominator of p and (-15)\/6*26\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-39497 - 7)\/(-8) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37853*c - 69249 with respect to c.\nAnswer: 37853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*b**3 + b - 71*b**2 - 86*b**2 + 12*b**2 - b wrt b?\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/40 - 3*q**4\/8 + q**3 - 2*q**2. Factor g(t).\nAnswer: 3*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -1 + (7 - 92) + 67.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 4*a + 4. Let z(d) = 2*d**2 - 8*d - 7. Let f(k) = -5*y(k) - 3*z(k). Let b be f(5). What is the units digit of b\/14 - (-153)\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(0 + 7\/8) and 32\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*15*4\/12*1. Solve 5*k - p*m - 5 = 15, 0 = -k + 2*m + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380695.\nAnswer: 3, 5, 43, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -14. Let q be (63\/(-231))\/(4 + f). Let j = 14 - 11. Which is the third smallest value? (a) q (b) j (c) 4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-3))\/((-304)\/(-144)))\/(-3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-10) - 1*231658\/(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -40, -138, -326, -634, -1092, -1730, -2578?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/16)\/((-6)\/70) - -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7896.122 + -8832.3. Let g = 940 + z. What is g rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 215\/35 + 1\/(-7). Let f be (-4)\/14 - (-10)\/35. Suppose i*n - 7*n + 32 = f. What is the remainder when n is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (94\/(-5))\/((-3)\/(-165)). Let b = 1448 + f. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 2*r**2 + 5*r**2 + 2*r**2 - 3*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 2*t + 7. Let d(l) = -81024 + 81024 + l**2. Give d(v) - z(v).\nAnswer: -v**2 + 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1119383*x**3 + 14*x - 2 - x - 10*x**2 + 1119382*x**3 to n + m*x**2 + b*x + j*x**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1104*i - 1095*i - 81 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.7 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, -7, -8, 1, 4 in decreasing order.\nAnswer: 4, 1, -7, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aht when three letters picked without replacement from tkakthhktakhaa?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 964*q - 1958*q + 1 + 2 + 998*q + 122*q**2 to the form y*q + c*q**2 + n and give c.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92\/6 - 80\/(-1200)*-195.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 34497*f + 310489. Determine t(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(sqrt(175) + sqrt(175)*-3 + sqrt(175))*-4.\nAnswer: -360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (32\/(-5))\/(-4) - 1. Which is the third smallest value? (a) -1.2 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5829.8 times 31.01\nAnswer: 180782.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 30 + 36 + 27 - 92. What is x(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2808056982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 13. Let x be t(11). Factor -10*i - 41*i**3 + 26*i**3 - 17*i**3 - 45*i**x - 25*i**4 - 28*i**3.\nAnswer: -5*i*(i + 1)**2*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(55\/10) - -1)*-2. Let q(g) = -5*g**3 + 6*g**2 + 6*g + 6. Let r(h) = -45*h**3 + 55*h**2 + 55*h + 55. Give t*r(k) + 55*q(k).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 0.69, -3, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5821.366 hours in minutes?\nAnswer: 349281.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*s**3 - 521*s**3 - 162*s**3.\nAnswer: -984*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 167030210 divided by 4\nAnswer: 83515105\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.27876 + 0.40976. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*f**3*z**2 - 725*f**3*z + 2*f**3 + 5*f**2*z**2 - 40*f**2*z - 5*f - 2*z**2 + 479 wrt f.\nAnswer: 522*z**2 - 4350*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0 (b) -2 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 82 - 0 - (-1 - 21 - (361 + -396))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87477.\nAnswer: 3, 13, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (200*q**3 + 109 - 109)*(-1 + 1 + 1) + 5*q - 5*q - 2*q**3 to the form y*q**3 + u*q + d + s*q**2 and give y.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3*m - 2*s + 20 = 0, 4*m = 3*s + 55. Let a = 21 - m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(6\/32) + 20\/(-15). Suppose -4 + a = -6*s. Suppose -3*j + 7 - 1 = s. Solve j*u + 9 - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = 10*p - 1801. Let t be (8\/10)\/(2\/10). Suppose p = 2*a - b, 0*b + 224 = 3*a + t*b. Is a a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7, 31, 101, 241, 475, 827, 1321?\n\"Answer: 4*p**3 - p**2 - p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 1)*((-2728)\/(-132) + -24).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -274*f - 415. Is u(-16) a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 20*u - 45*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 20 - 4. Let h(l) = -18*l - 13. Let s be h(b). Factor -30*t**3 - s*t**3 + 9 - 15*t + 56*t**3 + 3*t**2.\nAnswer: 3*(t - 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 + -79.95. Let n = -0.05 + u. Are -0.2 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - (72 + -50 + -51).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looouuuuuuroouuoo. What is prob of picking 1 r and 1 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 0*(-1)\/2. Let l be (-2)\/4*(0 + 8). Let w = d - l. Solve -26 = 5*k - 2*c, w*c - 12 = 2*k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 28*s**2 - 282*s + 318. Give y(11).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*q = -0*q + 117, q = 1. Let b be 20\/6*(-12)\/(-8). Suppose 3*k + b*g = g + 176, -3*k + 181 = -g. Calculate the greatest common divisor of k and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -1)\/(-9 - -10))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 11. Let a be h(-11). Suppose 3*y - 77 = -4*o, -4*y + 4*o + 71 - 15 = a. Solve -5*l = 4*r - 2*l - 26, 5*r - y = 3*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4563\/(-2))\/(-39))\/((-3507)\/(-668)).\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128\/(-62) - -2 - (-85608)\/(-10788)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**6\/720 + h**5\/24 - h**4\/8 + 2*h**2. Let u(w) be the second derivative of y(w). Let g = -2 + 6. Calculate u(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-8)*(-511)\/73?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 + 2 = 0. Let h = 42 - 44. Which is the nearest to h? (a) o (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -61, 0.2, 5, -3, 2\/11, 6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -31) + (0 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8227 - 0.0133. Let h = q - -0.036. Let n = h - -1.800116. Round n to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-7 + 5 + 12 - (1 + 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18265 by -108.\nAnswer: -18265\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -10*c - 153. Determine w(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/4 + 2465*w**3 - 5138751*w**2\/2 - 17288768035*w - 49191973662601\/4.\nAnswer: -(w - 6083)**2*(w + 1153)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 c, and 1 w when three letters picked without replacement from mtatwawatct.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815685391.\nAnswer: 13, 17, 19, 181, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 21 = 108 + 1 for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 + 95 + 303 + 186)*(-g - g + 3*g)*(-2 + 1 + 0).\nAnswer: -507*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9809 - -206. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 less than -4846.6?\nAnswer: -4820.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 7, w: 5, e: 5}. What is prob of picking 3 a?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 2*n + 0*n - 2*n - 5*n - 12*n + (8 - 8 + 9*n)*(8 + 8 - 7))*(0*n**3 + n**3 + 2*n**3) to the form m*n + q*n**2 + b*n**4 + u + z*n**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -525 divided by -105\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(3*o**2 - 2*o**2 - 2*o**2)*((-3 + 1 + 0)*(3 - 3 - 3*o) - 30*o + 21 - 21).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*q = -18, y + 2*q + 12 = -3*y - 4 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let c be 24\/(-840) - (-6)\/14. What is the nearest to -1\/2 in t, c, 6\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 2200221?\nAnswer: 2201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20*t**3 - 2*t**2 + 2*t + 4. Let x be k(-2). Let z = -93 + x. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(462) - 6*-2*sqrt(462))\/(-3*sqrt(33)\/sqrt(3) - sqrt(11)))\/((-1*sqrt(72))\/((sqrt(27) - sqrt(432)) + sqrt(3))).\nAnswer: -13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Suppose 4*u**4 - 8*u**d + 2*u**5 - 4*u**3 + 252 + 2*u + 0*u**3 - 248 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23469 less than or equal to 23470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**3 + 952*h**2 - 3794*h - 63. Calculate s(4).\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 314, -5\/3, -0.1, -2.44, -4, 2, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -86a457 (base 11) to base 12\nAnswer: -570566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 177*(-5)\/(-45) + -471 + 449?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1213*w + 21301 = 40*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 1, j: 2, v: 4, a: 2, i: 1}. Give prob of picking 1 a and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.2 + 6.2. Let h = -1753.5 - -1753. What is the third smallest value in h, 2\/7, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000524107 to six dps.\nAnswer: -0.000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + i + 2. Let x be r(-2). Let w = -1 + x. Factor w*a - 5*a**2 - 2*a**2 - 3*a + 2*a**3 - a**2.\nAnswer: 2*a*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1778841732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038844799 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*s - 1401*s - 527*s - 58616 + 5534 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-620)\/(-50)*42865\/11 + 6\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucxoomxxmoujcmcmx. What is prob of picking 1 j, 1 m, and 1 c?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5530 and 30415?\nAnswer: 60830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005042 to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -328.4 * 653.3\nAnswer: -214543.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 520? (a) 1.1 (b) -4 (c) 5 (d) 29 (e) 2 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1626, -13641, -46226, -109665, -214242, -370241, -587946, -877641?\n\"Answer: -1714*s**3 - s**2 - 14*s + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-744)\/558)\/((-8)\/(-38)))\/(3\/(-9)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 3*f**2 - 24*f + 126. Let o be q(6). Which is greater: -2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2329738*b**3 - 36*b**2 - 12642*b.\nAnswer: 13978428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*p - 23, -100*b - 2*p = -103*b + 13 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 43, -3636, 8.8?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 + 291. Let b(z) = 10*z**2 + 6. Let y(k) be the third derivative of -k**5\/30 - k**3\/6 + k**2. Calculate s*b(a) - 11*y(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.2, 1, -2\/29, 8782?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 34*i**4 - 2*i**2 - 42*i. Let m(r) = 67*r**4 - 5*r**2 - 84*r. Let b(o) = -5*a(o) + 2*m(o). Find the second derivative of b(u) wrt u.\nAnswer: -432*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7680\/(-2880)*6\/(-116)?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3 = -3*y, 3*o - 2*y = 6. Let -o*q - 4 + 0*q**3 + 2*q**4 + 2 + 4*q**3 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3379 - -3385. Let x(z) = 2*z - 7. Let j be x(5). Solve 0 = j*f + 2*r - s, 0 = 4*f + f + 3*r - 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 0.2, -2\/47 in decreasing order.\nAnswer: 0.2, -2\/47, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 9*g + 3. Let n(h) = -2*h**2 - 10*h - 4. Let o(a) = -2*n(a) - 3*q(a). Let v be o(7). Let w(z) = 3*z**2 + 1. What is the units digit of w(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p**2 - 17*p + 43. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*l - 4*r, 0 = l - 2*l - 3*r - 2. Suppose -k + 1 + 3 = 0. Let s = k - l. What is the highest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72.19179 + -69.8817345. Let q = 2.31 - s. What is q rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 1412 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -24195 (b) -0.5 (c) -2\/6733 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 4*u + 172, -4*u - 172 = -53836*w + 53842*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, -23, 4.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*0 + 2. Suppose 4*l - 2 - 18 = j*d, -l = -4*d - 5. Suppose 0 = l*m - 5*t - 205, -5*m + 30 = -3*t - 177. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-389850)\/14125)\/(((-6)\/10)\/(-3))\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164 and 37250116?\nAnswer: 1527254756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**6\/10 - 39*v**5\/20 + 19*v**4\/4 + 33*v**3\/2 + v - 6. Determine o, given that x(o) = 0.\nAnswer: -1, 0, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2251*o + 13511. Let p be k(6). Sort -62, 1, p, -6 in decreasing order.\nAnswer: p, 1, -6, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/90*(-10)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 2006440. Let y = c - 2401288. Round y to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r. Let i(s) be the first derivative of 6*s**2 + 39. Calculate l(i(x)).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47.7 + -48. What is the closest to 1 in 0.3, -1, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 413 + -41. Suppose -18 = x*v - 374*v. Solve 5*y + 6 = -v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, -2, 0.2, 3\/13 in ascending order.\nAnswer: -4, -2, 0.1, 0.2, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - m - 15, 5*d - 5*m - 10 = 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -123*i**2 - 6*i + 8. Let h be p(2). Let b = h + 506. Calculate the highest common factor of 4 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.436813 years in months?\nAnswer: 5.241756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703303?\nAnswer: 277, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 18172*s**4\/3 + s**3\/6 + 5*s**2\/2 - 211*s. Let j be g(3). What is j rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -158. Let t = k + -42. Solve -4*b - 5*g - t = 2, 0 = 5*b + 4*g + 17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**4 - 2*d - 3 + 2*d**4 - 2*d**3 - 3*d**4 in the form s*d**2 + j*d**3 + i + w*d**4 + q*d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -23. Let x(z) = -z**3 - 19*z**2 + 2*z + 47. Calculate the least common multiple of 5 and x(i).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12727, -12731, -12735, -12739, -12743?\nAnswer: -12747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2*y + 4 = 0, -4*d = 5*y - 8 + 21 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 20, 53, 106, 185, 296, 445, 638?\n\"Answer: m**3 + m**2 + 9*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.0255 millennia in months?\nAnswer: 1488306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by 240\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*z + 61, 2*z = -23330 + 23306 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9163377802 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 greater than 8.726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19444 + -19450. Let r(p) = -p**2 + 5*p + 10. Let j(m) = m**2 - 4*m - 9. What is c*r(t) - 7*j(t)?\nAnswer: -t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12223 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3102573, -3102568, -3102561, -3102552, -3102541, -3102528?\n\"Answer: h**2 + 2*h - 3102576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*s + 12, -d - 3 = -s + 3. Let m(x) = 4*x - 8. Let u be m(3). Suppose u*a + 0*a - 4 = 5*z, z = a. Which is bigger: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 81357132 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*o = 343*o - 8415. What is the least common multiple of 187 and o?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57049, -114103, -171145, -228169, -285169, -342139?\nAnswer: -399073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 261 + 921 = 0. Let y be (-8)\/(-2) - x\/(-12). Let z(h) = 6997*h**3 + h**2 + 11*h - 1. Let k be z(y). What is k rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*(-1 + 1 + 1). What is the closest to 0.2 in 5\/4, j, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -241088932 and -7897.\nAnswer: -241096829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -690.08699 minus -7?\nAnswer: -683.08699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -758 - -1244. Round d to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2. Let l(s) = -111*s + 2. What is z(l(y))?\nAnswer: -49284*y**2 + 1776*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/60 - u**5\/15 - u**4\/12 - 50*u**2 + 3*u. Give p(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101111011100 (base 2) in base 3?\nAnswer: 210000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 339 + 457*x**2 - 168*x**2 + 170*x**2 - 315 in the form f*x + s + l*x**2 and give l.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -8 + -22 + (8 - 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*t)*(5*t - 3*t + 3*t).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 - 27*v**2 + 6 + 9 + 5*v**3 + 2*v**3 + 28*v**2 - v as i*v + t + z*v**3 + h*v**2 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 126)*4\/(-30). Which is smaller: -17 or t?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/15941024?\nAnswer: -1\/15941024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 3*m = -27, -2*w - 5*m = -0*m + 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1*(0 + -1). Suppose -10 + 26 = 8*x. Sort -2, -6, f, x.\nAnswer: -6, -2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80568490 and 5020.\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-4)*(-2 + 2). Suppose 3*m - 10 = 4*m - 2*y, 4*y - 16 = 0. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 12. Let i be y(5). Suppose k + 4*k - 28 = 2*d, -i*k = 3*d - 21. Suppose 0*v = k*v - 48. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 33. Let s(t) = -4*t - 3. Let n(v) = -5*v - 4. Let k(w) = p*n(w) + 4*s(w). Let u(y) = -9*y**2. Determine u(k(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1510*t - 2017*t + 393*t = -43876 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - y**5 - 2*y**2 + 25 + 3*y**5 - 25 + (-3*y**4 - 2*y**4 + 0*y**4)*(-y - 2*y + 2*y).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1450 - 3*s + 1450 + 104*s.\nAnswer: 101*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.8 - 17.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose u = 3*f + m - 25, -2*f + 5*f - 19 = 5*m. Let j = f - -5. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) 0.4 (c) 246 (d) -6 (e) 3443 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 48*h**2 + 680*h.\nAnswer: -2*h*(h - 34)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 23 + -8 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*r**4 - 1494*r**3 + 1155*r**2 - 20*r + 2 wrt r?\nAnswer: 1824*r - 8964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.099.\nAnswer: 0.0198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 22077364?\nAnswer: -11038682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 11 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(396\/80) + 288\/1584.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 216340549*g*n**3 + 1054*n**3 - 2*n**2 - 3*n + 3755 wrt g?\nAnswer: 216340549*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - a**2 + 2*a - 2. Let p(m) = 7*m**3 - 5*m**2 + 11*m + 29. Determine -p(l) + 6*r(l).\nAnswer: -l**3 - l**2 + l - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 798 and 2928660?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-3)\/3 - -5. Suppose x - 10 = 3*b, -3*x + 6*b - 9*b + 42 = 0. Suppose x = 5*u + i. Solve 0 = -3*r - 2*k - 2*k + 1, -u*k = r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 12, 2, -45 in increasing order.\nAnswer: -45, -4, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -289 - -297. What is the thousands digit of (-41660)\/(-36) - d\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1596 + -1428. Calculate the remainder when d is divided by 55.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.92665 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-14)\/((s*(s**(-11)*s)\/s)\/(s*s*s**(-4\/9)\/s)) assuming s is positive.\nAnswer: s**(-31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71521977*w**3 - 20246*w**2 - 1358.\nAnswer: -429131862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10135 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*p + 24 = -5*j, 8 = -2*j + 5*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 11*d**2 + 7*d + 5. Is s(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -65, -4\/3, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005125387 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 287476 and 287386 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*w - 36*w = 15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 18*o - 73. Suppose -2*r - 207 = 7*r. Is m(r) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1071*z**3 + 1064*z**3 + 25*z - 23 + 4 - z**4 - 6 - 2133*z**3 as g + w*z**3 + c*z**2 + t*z**4 + o*z and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7\/(42\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(-1)*2. Let w = 109 - 105. Sort u, 2, w in decreasing order.\nAnswer: w, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346967 divided by 22.\nAnswer: -346967\/22","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - x + 8, 2*i - 3*i - 3*x + 8 = 0. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s + 41. Let y be z(-6). Calculate the highest common factor of 135 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.88 and -0.3.\nAnswer: 6.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213565 (base 8) to base 5.\nAnswer: 4242131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5696282483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 68 (b) -3 (c) 5 (d) 2\/3 (e) 18\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**4*f + 2*a**4 + 8*a**2*f - 2*a*f + a - 370*f wrt a?\nAnswer: 36*a**2*f + 24*a**2 + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 3. Let g be d(-7). Suppose 4*a = 2*u + 42, 0 = 3*u - g + 2. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*q + 4*h, -3*h = q + 17 + 2. Put 0, q, -5, 4 in decreasing order.\nAnswer: 4, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.956602ug?\nAnswer: 0.007956602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppppmppppp. What is prob of sequence ppm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/(((-35)\/(-1))\/(-1680))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76 - -76) + 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3075, -2, -3, -165, -5, 4.\nAnswer: -165, -5, -3, -2, -1, 4, 3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15530487 divided by -739547?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3885 + -2764. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + b - 3. Give s(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-36))\/((-4)\/(-3)). Let t(c) be the second derivative of -2*c + c**2 + 0 - 1\/20*c**5 - f*c**3 + 1\/4*c**4. Give t(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -39, -4, 55, 144, 269, 436?\n\"Answer: f**3 + 3*f**2 + f - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1841 = -3*n - b, -8*b = n - 5*b - 627. Calculate the greatest common divisor of 561 and n.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/8 + 3 + 0. Which is the nearest to h? (a) -4 (b) 0.2 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 70*z**5 + 11775*z**4 - 1485410*z**3 + 4071945*z**2 - 3220760*z + 622380 = 0.\nAnswer: -253, 2\/7, 1, 3\/2, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 6. Suppose 0*q - 16 = -4*q. List the prime factors of p(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:35 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14897989.\nAnswer: 127, 117307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18866268 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8099.441 - -8108. Let z = 0.559 - t. Are -2\/41 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - -1) + 9 + -7. Suppose 0 = -3*j + 3*f + 6, 4*j - 5*f + 3 = i. What is the second smallest value in 0, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 31*d**3 + 0*d + d**2 + 173\/24*d**4 + 74. Differentiate s(u) with respect to u.\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 4*y + y)*(1 - 1 + 14)*(2*y - y - 2*y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*(m**(4\/27)*m)\/m*m)\/m)**46\/((m*m**(1\/6))\/m*m**(-1\/4)) assuming m is positive.\nAnswer: m**(15649\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**21*j**(8\/7)\/j*((j\/(j**(-10)*j)*j)\/j)\/(j**(2\/17)*j) assuming j is positive.\nAnswer: j**(3692\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4410 > -4411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 10\/53 (b) -2\/13 (c) 9\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.2251mg to micrograms.\nAnswer: 556225.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + 1 + sqrt(72) + -4 + sqrt(72))*1 - 3*2*(sqrt(72) + -1 + sqrt(72)))**2*3.\nAnswer: -972*sqrt(2) + 17523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -38\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -30, 4, 2\/5, -7 in increasing order.\nAnswer: -30, -7, 0.2, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (496\/(-112))\/31*21\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-71)\/(-4) - (-41)\/164. Suppose s*v + 4*v - 5038 = 0. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 20 = -3*x. Suppose 2*y + x*r = -2, -2*r = -3*y + 3*r + 22. Let j(g) = -2*g + 6. What is j(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6312 and -97\/846?\nAnswer: 889992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20950885 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjjjhjjjj. Give prob of picking 3 j and 1 h.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 323913873?\nAnswer: 323913873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 + 4787520*a - 5730086937600 = 0.\nAnswer: 2393760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhv when three letters picked without replacement from {v: 3, d: 1, t: 6, h: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 2, o: 1, q: 1}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 0, 6, 1182, 4, -1.\nAnswer: -4, -1, 0, 4, 6, 9, 1182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3217438 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 119*b - 599. Let n be p(5). Suppose -m - t = -2*m + 19, 0 = 5*m - t - 91. Let z be 2\/((m\/n)\/((-12)\/(-36))). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24680 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 17385.5511 to the nearest integer.\nAnswer: 17386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k - 2. Suppose 2*m - 24 = 6*m. Let n = -9 - m. Calculate o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-54)\/1395))\/(-2*2\/(-4)*-5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - 5*f**3\/6 + f**2\/2 - f. Suppose 25*t - 23*t = 110. Let j = t - 61. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 318551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 484157 is divided by 127.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.44 and 42.9757.\nAnswer: 18.909308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32152 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*z - 11844 = 108*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8 = 0, 22*m + 3*i = 17*m + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 5. Let x be j(-4). Suppose m + 0 - x = 0. Let v(o) = 1 + o + 3 - m. Give v(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 75266*f**2 + 72855*f**2 - f + 2*f - 151034*f**2 as t + d*f**2 + b*f and give d.\nAnswer: -2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.4, -1\/3, 10681, 3, 5\/6 in increasing order.\nAnswer: -1.4, -1\/3, 5\/6, 3, 10681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 3. Let u(i) = i + 2. Let c = 6 + -9. Calculate c*g(y) - 5*u(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 18*a**2 - 30*a + 36. Let g be m(-16). Let x be -3 + g + -3 + 13\/4. What is the second biggest value in -0.1, x, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 775*h**2 - 247*h - 17. Let o(i) = -172*i**2 + 62*i + 4. Let z(d) = -2*n(d) - 9*o(d). Determine z(-32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + 5 - (-64 + (-2 - -54))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62\/119 - 4\/17. Factor 2\/7*t**4 + w*t**5 - 4\/7*t**2 + 2\/7 + 2\/7*t - 4\/7*t**3.\nAnswer: 2*(t - 1)**2*(t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 7*f**2 - 9*f - 13. Give q(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 1, n: 1}. Give prob of sequence ne.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 44*c**2 + 64*c - 371. Is s(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 12*k - 24. Let r be a(-14). Suppose 980 = 2*s + 2*v, -r*s + 3*v = -2*v - 1987. Is s a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/11*i**4 + 6\/11*i**5 + 0 - 6\/11*i**2 - 18\/11*i**3 + 4\/11*i = 0. What is i?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*c + 79*c + 83*c + 9 - 294*c + 67*c.\nAnswer: 16*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -125*n**4\/24 - 67*n**3\/6 + 15*n**2 - n. What is the units digit of k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622677 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*l - 22, 27 - 12 = -5*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 39*p - 7*p - 19*p)*(-3*p - 2*p + 2*p) + 15 + 11*p**2 - 15.\nAnswer: 230*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 3*r**2 - 2*r + 6. Suppose 8*f - 4*f = 4*v - 4, 5*v - f - 13 = 0. What is the tens digit of x(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c + 58. Let u be y(-9). Let p = u + 5. What are the prime factors of 9\/p*28*(-25)\/4?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725845291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81050634*r**2 - 1694904*r + 2?\nAnswer: 162101268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 14, -1.6924, -0.5, -5, 1, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -6) + -2 + 0. Let u(f) = f + 23. Let d be u(-20). Put -5, d, p in descending order.\nAnswer: p, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 84*k - 6. Give w(42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.3651 + -2?\nAnswer: 296.3651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18*1\/(-4))\/((-5)\/(-10)*30)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 10. Let y be i(5). Solve -3*b + y*q = -3*q + 15, -5*b = 5*q - 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0971 + -6.0129. Let m = -178223.89297 + 178230. Let v = m + g. What is v rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 + 9*i**2 - 14*i**2 + 4*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -36, -34, -32?\n\"Answer: 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72376 and 12208.\nAnswer: 1013264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 15 = 0. Let c(p) = -4*p**2 - 739*p + 1848. Let j be c(-187). Calculate the greatest common factor of y and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 264687762818636 and 0.3?\nAnswer: 264687762818635.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-3 - sqrt(1344) - sqrt(1344)) + 1*(sqrt(21)*-2 + sqrt(21) - sqrt(21)))\/((sqrt(75)*1 - sqrt(3))*2*-4)*4.\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 - 260. Let i(k) = -k + k + 3*k + k**3 + 5*k**2. Let f be i(-4). Which is the third biggest value? (a) l (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 3, m: 1, x: 5}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/24 + 63*f**3\/2 - 3*f**2 - 22*f. Let m(y) be the first derivative of g(y). Let i(j) = j**2. What is i(m(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 + 5140*p**4 - 131105*p**3 + 846690*p**2.\nAnswer: -5*p**2*(p - 1002)*(p - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/150 + 619*x**4\/30 + 383161*x**3\/15 + 1994*x**2. Factor p(h).\nAnswer: 2*(h + 619)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/7, 3, -1015?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooof when four letters picked without replacement from foofofo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*u**2 - 340*u**2 - 216*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-8852)\/160*-4. Let k = -217 + j. Find the common denominator of (-135)\/(-12) - -1*1 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1060753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 0.04 (b) 4 (c) 130783\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -37. Sort b, 4, -0.1 in decreasing order.\nAnswer: 4, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 130, 137, 146, 157, 170, 185?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3*i + 3*i - 1. Let t(x) = -5*x - 4. Let d be 3*(-2)\/3 + 14. Let n be ((-8)\/d)\/(2\/(-3)). Give n*t(v) - 3*h(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 7938004?\nAnswer: -39690020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43113462 or -43113465?\nAnswer: -43113465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -34928*o**2 - 275058*o. Let k(u) = u**2 + 9*u. Calculate 91686*k(w) + 3*t(w).\nAnswer: -13098*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and -61\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64.4 and -11.\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 7. Factor -5*f - 8*f + 24*f**2 - 3*f + 36*f**3 + 10*f**a.\nAnswer: 2*f*(f + 2)**2*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3402 + -3399. Solve 2*t = -g*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*q**4 + 371*q**3 + 9*q**2 + 8578*q.\nAnswer: 600*q + 2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3\/v*v)\/(v*v**(4\/3)))\/(v**(1\/6)*v*v\/v**(2\/5)) assuming v is positive.\nAnswer: v**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -15, -26?\n\"Answer: -11*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201122 + 10011212?\nAnswer: 11220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14762169?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Suppose -8*r + 8 = -24. Let h(k) = -8*k. Determine r*x(d) - h(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16521 + 19339. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5 = -v, 3*v + 5*j + 17 = v. Let d be (-2)\/((-2)\/(-6) + v). Suppose 4*u = 5*f + u - 32, d*u - 24 = -3*f. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1755\/780*16\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/7 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2282, 2292, 2314, 2354, 2418?\n\"Answer: v**3 + 3*v + 2278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**4 - 2*v**2)*(4 - 8 - 2) - 2*v**2 + 2*v**2 + v**4.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31974*d + 32035*d - 41 + 468 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-10\/11)\/z*z))**3\/(z*z*z*z**(-5\/6)\/z)**(20\/3) assuming z is positive.\nAnswer: z**(-203\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510342751.\nAnswer: 331, 1541821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13894318 and 1964.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + j = 7, 2*c + 3*j - 7 = 3. Put 4, -3, c in descending order.\nAnswer: 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 69 - (10 - (0 + (22 - 14) - -5)).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1837 (base 15) to base 5.\nAnswer: -131402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**3 - 7*z**2 + 100*z - 636. What is r(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*x + 2 = 0, 0 = -5*f - 19*x + 24*x + 30 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 25617, 51232, 76847, 102462, 128077?\n\"Answer: 25615*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13481913631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-189)\/(-162))\/(2\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Let m = 23521 - 23516. What is the smallest common multiple of i and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let j = -0.022 - -38.022. Let f = -37.8 + j. Sort -8, q, f.\nAnswer: -8, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2620247909 and 11.5?\nAnswer: 2620247897.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 + 65 + 31)\/(-2*(-3)\/(-78))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.143 + -0.143. Let d = 446.9 - 402. Let j = s - d. Which is smaller: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**2*t**3 + 5*l**2*u**3 - 2*l**2 + 522*l*t*u**3 - 2*t**3*u wrt l.\nAnswer: -4*t**3 + 10*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2. Let c(p) = -3*p**2. Let r(f) = -4*c(f) - 3*y(f). Suppose 5*j = -k - k - 19, 2*j + 4 = -2*k. Let s(a) = a - 3 + k. Calculate r(s(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 46?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 138687598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291019 to the power of 1\/2, to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -10. Let x = 0.12 - -6.88. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6301586 divided by -6.\nAnswer: 3150793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*g**3*m**3*u**3 - 15*g**3*m**3 - 6*g**3*m**2*u**3 - m**2*u**3 + m**2*u**2 + 3*m*u**3 wrt m.\nAnswer: 402*g**3*u**3 - 90*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-88)\/33)\/((-1)\/21). Let r be 266\/b + (-3 - 0). Which is smaller: 2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) + (-46)\/(-8). Let h = y - 4. Let a = 180 - 181. What is the closest to -2\/3 in a, h, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -3 - (1 + -7). Let x be 1824\/(-336) - 6*g. Is x at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2436 and 185890?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250, -1028, -2324, -4138, -6470, -9320, -12688?\nAnswer: -16574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*3 + -5 + -4*sqrt(8)*-1)**2.\nAnswer: -350*sqrt(2) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372 = 3*m - 258. Suppose 0 = 2*v - 4*v - 162. Let r = v + m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13276505044\/1926009 - -1191921\/173. Let x = u - -1\/3711. Which is greater: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 - (-1 + 7 + -14). Let g(p) = -28*p**2 + 2*p - 2. Give g(t).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75385232 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/423 in -4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 34*r - 41. Let s(c) = -34*c + 40. Give 8*s(p) + 9*x(p).\nAnswer: 34*p - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 242, 484, 728, 974?\n\"Answer: b**2 + 239*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 0*s)*(2 + 4 + 3)*(-3 - 2 - 4).\nAnswer: 81*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 q when three letters picked without replacement from hqccqnqqqheni.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 + 8334*o\/5 + 17363889\/5.\nAnswer: (o + 4167)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3872 and -15485352.6.\nAnswer: -15485352.2128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/18*72\/(-80))\/(4\/136)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 11:27 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95970)\/(-41587))\/((-5)\/1)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 959*y + 327*y - 100*y)*(-2*y + 2*y - y) as c + b*y**2 + s*y and give b.\nAnswer: -1186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/2)\/(-5))\/(-14)*-2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 + 126 + 241)*(4*p - 3*p + 3*p)*(-4*p - 2*p**2 + 4*p).\nAnswer: -4000*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 333982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14910, -15532, -16566, -18012, -19870, -22140, -24822?\n\"Answer: -206*f**2 - 4*f - 14700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 3 = 0, 3*i - 4*t - 99 = -92 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 75 = 17 - 26. Solve -6*x - u*x = -36 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.2. Let t = -0.04516 - -12.04516. Let s = -28.4 - -28. What is the nearest to -1\/2 in j, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -7 - (1 + -11 + (-7 - -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:22 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -15*q + 13. Let b(r) = 11*r - 10. Let s(d) = -d + 1. Let o(z) = b(z) + 4*s(z). Let c(l) = -6*f(l) - 13*o(l). Let v(h) = 2*h. Determine c(v(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 50229, 92635, 135041, 177447, 219853, 262259?\n\"Answer: 42406*g + 7823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 6376932 and 6376929 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-6*-2*(-7)\/(-112).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 2. Suppose 3*d - 8 = n*x, d - 3*x = 2*d - 12. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39960 and 12.\nAnswer: 39960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3 - 5. Let z be ((-20)\/(-6))\/(q\/(-6)). Let u be (-312)\/(-22) - z\/(-55). Solve -4*g = 4*h - 2*g - u, 19 = 5*h + 2*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/5)\/g*(g**(-4)\/g)\/g assuming g is positive.\nAnswer: g**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22220, -89474, -201562, -358484, -560240, -806830?\n\"Answer: -22417*a**2 - 3*a + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 23.9894?\nAnswer: 2.39894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b - 16 = 4*p, 3*b + 3*p - 6 = 0. Suppose 96 = -2*s + b*s. What are the prime factors of ((-2)\/4)\/((-3)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 0.67, -5 in increasing order.\nAnswer: -5, -4, 0.5, 0.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12038802 or 1\/4?\nAnswer: -12038802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 3*b + 0*b)*(4*b**2 + 2*b**2 - 4*b**2)*(b - 6*b - 20*b + (1 + 1 - 1)*(-b + 3*b - b)) in the form d*b**4 + u*b + h*b**3 + z + v*b**2 and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 94. What is the smallest common multiple of r and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8680 and 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 6*g - 4. Let d be o(-5). Solve 4*i + 7 + d = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579675 a multiple of 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 10, 0.2, 0, 261.6.\nAnswer: -0.2, 0, 0.2, 10, 261.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 207701.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**3\/3 - 3*b**2 - 3*b + 7. Determine u(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/15 and 8\/305427?\nAnswer: 1527135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 23. Let f(v) = -v**3 - 7*v**2 + 5*v. Let l be f(h). Let x = l + 50. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8150 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-4))\/(-3))\/((-12)\/(-32))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 384660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -49. Which is the nearest to -2\/3? (a) f (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 - y + 3. Let t(l) = -10*l**2 + 4*l - 14. Suppose 0*g = -2*g - 3*c - 19, 0 = 4*g + 5*c + 41. Let s be g\/7 - (-18 + 2). What is s*o(q) + 3*t(q)?\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(36\/(-42))*(-4)\/(64\/16).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-15))\/((-576)\/(-360)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**22)\/(t*t*t**27) assuming t is positive.\nAnswer: t**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 345048?\nAnswer: -345076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*q - 6 + 30 = 0, -2*q - 6 = -c. Let x(i) = -4 + i**2 - 2*i**2 + 2*i + 5*i. Let f be x(c). Solve f*p - 1 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 7:25 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewe when three letters picked without replacement from vrvhewewp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-266)\/280)\/((-22)\/440).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*b + 2*b - 2*b)*(-28 - 22 + 29) as g + p*b and give p.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(121)*2 - sqrt(121)) - sqrt(121))\/(sqrt(891) + (sqrt(891) - sqrt(891)*1)) + -3.\nAnswer: -2 + sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27240400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -1 - (2752\/(-129) - 5)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153784 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1870 is divided by 67.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 9*n + 6. Let r(h) = -h**2 - h - 1. Let a(p) = -6*r(p) - t(p). What are the prime factors of a(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 48 = -3*k, -3*j = -3*k - k - 43. What is the units digit of 11\/j + (-2)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126107, 125966, 125825, 125684?\nAnswer: 125543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (0 - -18) + 1. Suppose 0 = -4*r + 14 + g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24120 and 4025?\nAnswer: 19416600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.540085mg to grams.\nAnswer: 0.001540085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 864141 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494 = -22*u - 670 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 20*f**3 - 7*f**3 - 7*f**3 + 17*f**3 - 3*f + 0 in the form d + k*f**2 + y*f**3 + w*f and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181\/73 + -16925\/4088. Let k = z - -11\/8. Let b be ((-42)\/98)\/(8\/(-56)). What is the closest to k in 2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Let t = h - 2. Suppose -45461*p + 45542*p = -162. What is the second biggest value in p, 9, t, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 - 192*y**2 - 3638*y + 52. Give v(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-18) - 2690609\/(-423). Let a = m + -76265\/12. Calculate the common denominator of 16\/6 + -2 - -2 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, y: 4, z: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*w - 0*x + 2*x, -x - 20 = -5*w. Let r = w - 4. What is the remainder when 3 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.1 - -3.4. Let x = j - 2.3. What is the smallest value in x, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Let q(k) = 75*k**2 - 28*k - 1. Is q(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + 0 + sqrt(45)\/(sqrt(63)\/sqrt(7)) - (-1*sqrt(240))\/(3*sqrt(36)\/sqrt(3)).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395926, 395930, 395934?\nAnswer: 395938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 345586 * -0.1\nAnswer: -34558.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -20. Solve -2*u = -o*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgqg when four letters picked without replacement from {w: 12, q: 5, g: 2}.\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/30*(-281)\/((-426558)\/(-552))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 5064 + 2535 + x**2 + 2533. Determine m(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 + 294 + (-1 - -3) + -15.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 26 + 1 + -4 + 0 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13277, -8746, -4215, 316?\n\"Answer: 4531*q - 17808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/317 not equal to -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067821302 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322 is divided by 763?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62260 and 15893280?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -o + 6, 2*o - 18 = -o - 3*x. Suppose -1 = o*y + 5. Which is smaller: y or 3\/43?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - z**2 - 1. Let c(t) = 24*t**3 + 3*t**2 + 3. Suppose -h = 4*l - 9, 4*l + 64*h - 65*h = -1. Calculate l*c(v) + 3*x(v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3769 and -111346657699.\nAnswer: -111346653930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*s + 257 + 13. Suppose 0 = -4*b - 3*k + 13, -5*b - 7*k + 45 = -s*k. Solve -5*l - 2*q = -b - 12, -2*l + q = -4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l + 339 = 227 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.1521 + 0.4121. Let d = -67 - g. Let a = -0.21 - d. What is a rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + -4*(sqrt(3) + sqrt(27) + 3 - (0 + -1 + sqrt(3) + sqrt(3)) - (sqrt(3) - (sqrt(3) + sqrt(3) + 1))*-3*-5))**2*3.\nAnswer: 33048*sqrt(3) + 61295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**8)**(-20) assuming f is positive.\nAnswer: f**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -3*i**4\/4 - 3*i**3 + 27*i**2\/2 - 15*i + 4. Factor m(w).\nAnswer: -3*(w - 1)**2*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 - 1074341*s**3 + s**2 + 1074341*s = 0. Calculate s.\nAnswer: -1074341, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -14441430?\nAnswer: 14441432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 7. Let r(d) = d - 2. Let y(a) = -2*l(a) - 7*r(a). Let s(u) = -2*u - 1. Give s(j) - y(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*j**4 + 15*j**4 - 10*j**4 + (2*j**4 + 0*j**2 + 0*j**2)*(1 + 1 + 0).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -16 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.99 + 12. Which is the smallest value? (a) 2 (b) x (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01634 + -0.03734. Is a <= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (17\/2 + -13)*-1574?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4553161058 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 - 236*n**2 - 3377*n - 11529. Determine i(-102).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 277 - 281. Let t(h) = -h**3 + 6*h**2 + 10*h + 14. What is the hundreds digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 791 and 1469.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(700) + 0 + sqrt(700) - sqrt(700)*2*6)*-6)**2.\nAnswer: 14400*sqrt(7) + 2520144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142020 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8880\/(-96)*(-2)\/6*(-12)\/5.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 15. Let l(v) = v**2 + 3*v + 10. What is the units digit of l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 10*o + 12. What is the remainder when h(-8) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -33 + (31 - (18 + -4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 25*g, -427 = -4*t - 5*g - 402 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a2683 - -75?\nAnswer: -a2609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 - 145)\/(-3 - 8\/(-3)).\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46cc0 (base 13) to base 14.\nAnswer: 3533c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**1)\/c**9*c**(4\/5)\/(c**(-5\/6)*c*c))\/(c**(1\/6)*c**7*c*c\/c**0*c*c**(-8)*c) assuming c is positive.\nAnswer: c**(-188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 432902266 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 5:33 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 12\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 1268*q**2 + 7*q**4 + 3876*q + 1082*q**3 - 8704 + 3994*q - 7784*q**2 - 6*q**4 + 5178*q = 0.\nAnswer: -1088, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -3*t - t. Calculate the remainder when t is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + -5.2. Let q = 76 + -110. Let d be q\/(-10) + (-28)\/7 + 0. Sort r, d, -5 in increasing order.\nAnswer: r, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*a**1)\/a)\/a)*a)**30)**(8\/3)*((a**(-3)\/a)\/a*a*(a*a**9)\/a)\/(a\/a**(1\/4)*a)**(-8\/21) assuming a is positive.\nAnswer: a**(497\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*o**3 + 21*o**3 - 14*o**2 - 30*o**3 + 3*o**2 wrt o.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(352) - sqrt(352))\/sqrt(8))\/(sqrt(4)*2*-2)*-1.\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l + 479 - 647 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2*k - 4 = 2*r, 0 = r - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51523 by -51523.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.05.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6486*m - 3591*m + 605250 = -10555*m for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -114. Let s = 203 - t. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(624))\/(sqrt(27)*-5) + -1.\nAnswer: -1 - 4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6247, 6234, 6221, 6208, 6195?\nAnswer: 6182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 310.4?\nAnswer: -360.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 499208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176452 + 529586\/3. Suppose -86*v**3 - 32\/3*v**5 + 48*v**4 + 6 + f*v**2 - 34*v = 0. Calculate v.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/(-66)*-4 - 24\/44?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -255, -519, -785, -1053, -1323, -1595?\n\"Answer: -n**2 - 261*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8 and (6\/8)\/(33\/158).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 2544.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2491479, 9965913, 22423303, 39863649?\n\"Answer: 2491478*z**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3250252 (base 7) in base 4?\nAnswer: 1201111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -221, -188, -99, 76, 367, 804, 1417?\n\"Answer: 5*z**3 - 2*z**2 + 4*z - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**7\/14 + d**4\/12 - d + 1. Let n(y) be the first derivative of p(y). Find the third derivative of n(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25\/3 + 1)*(-60)\/(-40). Suppose -4*b - 4*w - t = -b, -3*b + 5*w + 31 = 0. Solve 0 = -b*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, l: 2, u: 1, v: 9}. Give prob of picking 1 o and 2 v.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 - 0.01. Let p = j + -9.43. Let a = p - -9. What is the smallest value in a, 2\/3, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m - v - 14 = 0, 3*m = -v + 10. Let j(q) = 25*q - 15. Let b be j(m). Suppose -3*r - 6*i = -3*i - 105, -i - b = -3*r. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.86935 to 1 decimal place.\nAnswer: 45.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 14. Suppose 9 - d = 5*o. Let i(a) = a**3 - a**2 + 1. Calculate the remainder when i(0) is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**9*c*c)\/c))**(-21)*(c**0)**43 assuming c is positive.\nAnswer: c**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 534*b**3*j**2 - 8*b**3 + 2*b**2*j**2 + 8*b*j**2 - j**2 + 52986*j + 1 wrt j?\nAnswer: 1068*b**3 + 4*b**2 + 16*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 832*f - 1. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-14) + (-4)\/(-8). Let m = -262 + 257. Let f(y) = 3*y**3 - 25*y**2 + 4*y + 33. Let r be f(8). What is the smallest value in -0.3, x, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258447?\nAnswer: 3, 7, 31, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73 by -6.\nAnswer: -73\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9916 = d + 9906 - 19787 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*a - 5 = -58, 4*a = -m + 47 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 23. Suppose 5*b = -3*f + 20, m*b - 2*f - 10 = -3*f. Let v = -10 + 12. Solve -3*o - v = b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -o + 4, -31 = -4*o - b. Let i = -2 + o. Suppose i*q = 40 - 5. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let x(q) = q**2 - 6. Let l(p) = p**2 - 7*p - 1. Let h be l(4). Let u(g) = 2*g**2 - 13. Let r(a) = h*x(a) + 6*u(a). What is o(r(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586808 = -13*c - 181507. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by -955.\nAnswer: -79\/955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/(c*c**(-7)*c)))\/c**(-4\/7))\/((c**(-8)\/c)\/(c**(5\/3)*c)))**31 assuming c is positive.\nAnswer: c**(4061\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 796*p**3 + 27*p**2 + 37 wrt p.\nAnswer: 4776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 419639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/(-48))\/((-1)\/9). Suppose 0 = r - 3*t + h, -5*t + 3*t = r - 14. What is the smallest common multiple of 30\/2*(-2)\/(-3) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11710 is divided by 3229.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 0, 5*i - 18 - 18 = -2*p. Suppose 2*c - p = 50. Calculate the greatest common factor of 17 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5159*y**2. Let m(z) = -5*z. Give h(m(p)).\nAnswer: 128975*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 15. Let c be -3 + 10\/2 + -2. Let x be u(c). Let l = -8 - x. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53274353 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/40 and 38\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5107 + 10212 + d - 3*d - 5105.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 2082, 6917, 16324, 31827, 54950, 87217?\nAnswer: 130152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:09 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -12 + (1 - -11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21063 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20113 (base 4) to base 10.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31 and 1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4) - 10\/(-12)) + (-14450352)\/(-1008) a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8960648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13.86526963 and -24?\nAnswer: 10.13473037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000100646937 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-10))*(t**(2\/7)\/t)\/t)\/(t**9)**46 assuming t is positive.\nAnswer: t**(-2840\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 209538994 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2466 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40174?\nAnswer: 2, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 + 70*b**2 - 412*b - 480 = 0. What is b?\nAnswer: -40, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) + (-45)\/4. Let s = 5 - a. Calculate the remainder when 30 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 - 300*t**2 + 591*t - 294 = 0.\nAnswer: 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -991.\nAnswer: 1982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/153 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 756\/3402 - 76\/18. Let u(x) = x**2 - 9*x - 4. Let h(q) = 2*q**2 - 17*q - 9. What is w*h(o) + 9*u(o)?\nAnswer: o**2 - 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 913416273 to the power of 1\/3, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2155*j + 2148*j = -7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtx when three letters picked without replacement from xxtxxxxtxtxgttgtg.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2*m - 1 - 5\/12*m**4 + 0*m**3 + 0*m**2. Let s(t) be the first derivative of b(t). Let x(a) = 2*a**2. Give x(s(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6842631023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13247.2 rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.106 or 369?\nAnswer: 0.106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(9\/(900\/(-8))). Solve 5*r - j = 0, r = 4*k - k - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**3 - 17*r**2 + 63*r + 81. Give t(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 + 2498*i**2\/5 + 13812266*i\/5 + 9539212774\/5.\nAnswer: -2*(i - 3563)*(i + 1157)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3405480 and 1060.\nAnswer: 180490440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.93 - -0.07. Let b = 0.86 + -0.06. Let o = b + -5.8. What is the nearest to z in o, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owwowooooowwwwww. What is prob of picking 2 o?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5623571.88000005 + -5623572. Let r = -1.88 - -2. Let x = r + j. What is x rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 v when four letters picked without replacement from vvpapvvvavvapvvvvvvp.\nAnswer: 1144\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 792*p = 795*p - 35, 3*p = 22*z - 95 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 22*m - 26. Let w be d(-16). What is the greatest common factor of w and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 51 + 11*v + 18 - 27*v**2 + 9*v - 6*v. Let u(o) = 9*o**2 - 5*o - 23. Let r(h) = 6*n(h) + 17*u(h). Differentiate r(l) with respect to l.\nAnswer: -18*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(1\/4)*b)\/b)**(-31)\/(b**(-1\/5)*b\/(((b\/(b*b**1*b)*b)\/b)\/b)))**(-1\/4))**(10\/9) assuming b is positive.\nAnswer: b**(851\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 23 - 1. Let o = 3 + d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - 414?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -2\/7, -1, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00520727 rounded to five decimal places?\nAnswer: -0.00521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35621758?\nAnswer: 2, 17810879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/27)\/(i*i*i\/(i**(-28)*i)))**(-35) assuming i is positive.\nAnswer: i**(28420\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73\/3 - 289\/12. Let w(d) be the first derivative of -f*d**4 - 3\/2*d**2 + 1 + 4\/3*d**3 + 2*d. Determine w(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 11. Let d(t) = -t - 4. Let x = 2 + -1. Let w(o) = -o - 6. Let p be w(x). Let s be 2\/p - (-60)\/14. Determine s*g(b) + 11*d(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 19 - 20\/6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 4, k: 2, m: 1}. Give prob of sequence vv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3456359.\nAnswer: 919, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + b**2. Let n(a) = -a + 1. Let w = 17 - 16. Let u(s) = w*r(s) - n(s). Find x such that u(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -4 (b) 1 (c) 7391 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 247\/(-31) + -1 + (432\/81 - 198\/(-54))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 + 150. Let p be (1*3\/(-3))\/((-4)\/l). Let r(h) = 4*h**2 + 5*h - 5. Let o(m) = -7*m**2 - 10*m + 11. Let d(g) = 3*o(g) + 5*r(g). Determine d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = r + 4*s, 6*r - 2*r - 97 + 129 = 7*s for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 1. Let o = 159 + -156. Calculate the highest common factor of y and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112*-4.41\nAnswer: 493.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147584, 146673, 145762?\n\"Answer: -911*h + 148495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**8\/336 + j**4\/12 + 3*j**2\/2 + 1. Let r(u) be the second derivative of t(u). What is the second derivative of r(a) wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24123189?\nAnswer: 3, 233, 34511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*u**3 - 80*u**3 - 3*u - 3*u - 10 + 2*u - 79*u**3 - 3*u**2 as c + a*u**2 + d*u**3 + r*u and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -835b3?\nAnswer: 835b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 - 279. Solve -k + b*i + 2*i + 7 = 0, -2*i = -2*k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22438831 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:40 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1014 - -3268. Calculate the highest common divisor of 46 and u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 3*r**2 + 5*r + 1. Let d be w(4). Let s(c) = -c**2 + 1 + d - 6. Let i(n) = -38 + 38 - 8*n. What is i(s(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -16. Let s(i) = 14*i**2 + i + 3. Let l be s(-3). Calculate the highest common factor of o and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 23 = 4*q, -2*q + 12 = -2*p - q. Let g(w) = -5*w**2 - w + 4. Let i be g(p). Is 2\/(-2) + i\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2068930688 to the nearest integer?\nAnswer: 45485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 3 + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1 - -4 - -3. Suppose -2*i + i + 19 = 3*s, -4*i = o*s - 48. Let x(v) = -2*v**2 + 18*v + 2. What is the remainder when i is divided by x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 9*x**2 - 14*x. Let a be m(-7). Solve a = -4*t + 3*y + 13, 1 = 3*t + 5*y + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46074*r - 22827*r - 23249*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (0 + 6)*138\/(-23). Let v(q) = -q + 6*q**2 - 4 + 15 + 8*q. Let s be v(-7). What is the highest common divisor of s and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q**3 - 7*q**3 + 8*q**2 - 3*q + 6 - 4. Let j be u(4). What is the third derivative of 422*z**2 + 2*z**3 - j*z**2 - 10*z**3 wrt z?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c + 4. Let s(x) = -2*x**2 + 2*x - 1. Let a be s(c). Does 17 divide ((-2)\/(-4))\/(a\/(-66))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from ngnntgwntwnnnnw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*v = -35, 4*i = 2*v - 4*v + 16. Let y = -942 - -944. Suppose -4*r + 12 = -4*j, -y*j = 3*r + 40 - 49. Solve -i*q = -j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2911990 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 5*r + 7. What is l(9)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 - 3*a**3 + 7*a**3)*((-5 + 1 + 5)*(1 - 4 + 1) + (-152 - 232 - 406)*(0 + 2 + 1)) in the form y*a + i*a**3 + b + l*a**2 and give i.\nAnswer: -4744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-2\/11))\/(h*h\/h**(-4\/3)))**(-8))**(1\/35))**(14\/9) assuming h is positive.\nAnswer: h**(160\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 11*m + 5. Let t be p(-6). Let b be 3\/(-1) + -3*(t - 0). Suppose -2*c + b*c + 2342 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 142 (b) 2\/13 (c) 1 (d) 1\/4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 160\/28*(-399)\/(-6). Suppose 420 = 2*d + 4*w + w, -5*w = -2*d + a. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.5 + -58.5. Let i = j + 69.6. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697085 = -64*y + 964236 - 455305. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 30\/7 of a week?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4779 and 1873899.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99647300\/133 - -749223. Let h = k - -33\/7. Sort 3, -0.2, h, 1 in descending order.\nAnswer: 3, 1, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4199 by 6.\nAnswer: 4199\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -42*v**3 + 2*v**2 - 1. Let h(p) be the first derivative of -p**3\/3 - 8900. Calculate 2*h(t) + j(t).\nAnswer: -42*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 - (-79 + 105 - -48).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 112. Find r such that 9 - 51*r - 88*r**3 + 16*r**4 + 35*r**2 + g*r + 92*r + 62*r**2 = 0.\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -4\/21, -1967?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 - -49. Suppose 71 = t*q - 174. Calculate the smallest common multiple of 7 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/86400 and -101\/6?\nAnswer: 86400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 243437 and -570.\nAnswer: -138759090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z - 9*z**2 + z + 17*z**2 + (-6*z + 2*z + 3*z)*(-5 + 2*z + 5).\nAnswer: 6*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245753836?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r + 56. Let d(l) = 6*l - 56. Let q(s) = 3*d(s) + 4*z(s). Let h be q(9). Solve -g - h*g = 6, 0 = 2*n + 2*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 349*u**2. Let b(d) = -4*d**2. Calculate b(p(g)).\nAnswer: -487204*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (1 - 4) + 5 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 5*s + 456 = 0. Let y = -23 - s. Let q(u) = u**3 - 15*u**2 + 5. Let w be q(y). Solve w*i = -j - j - 25, 4*i + 32 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/5*628090\/7044\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650985373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s - 3. Let z be r(2). Suppose 2*b - g = -11270287, -2*b + z*g = -0*b + 11270283. Let y = 1755144 + b. What is y rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 13) to base 16.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - -2*(sqrt(343) + -1))**2 + ((sqrt(252)*2 - sqrt(252))**2 - (sqrt(7) - (-5 + sqrt(28)\/sqrt(4))**2)))*-1.\nAnswer: -3375 + 95*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -791.\nAnswer: -791, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 3:46 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -69, -73?\n\"Answer: -4*f - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-4\/3)*f*f*f*f*f*f*f**8*f*f\/(f*f**2)*f*f\/(f**8\/f) assuming f is positive.\nAnswer: f**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*b**5 + 2996*b**4 - 7230*b**3 + 5432*b**2 - 1208*b = 0. What is b?\nAnswer: -302, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 9:58 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 12*w + 8. What is the smallest common multiple of w\/18 + 460\/45 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g*m**3 - 2153*g*m**2 - g - 583*m**3 - 50*m**2 wrt g?\nAnswer: 12*m**3 - 2153*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = 10. Let j(h) = -52*h - 7. Let c(z) = 157*z + 17. Let w(u) = -3*c(u) - 8*j(u). List the prime factors of w(l).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -180, -4 in descending order.\nAnswer: 0, -4, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n**2 - 520 + 13*n**2 + 48*n**2 - 106*n**2 + 521.\nAnswer: -26*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 17*h**2 + 528*h + 27. Let j be z(-33). Solve 0 = -5*n + 22 - 2, 3*r = 3*n - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 143300 - 2?\nAnswer: 143265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w - 4. Let h be w\/(-8)*(12 + 0). Solve c + 0*c = 3*z, 2*c = h*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1574172 and 45.\nAnswer: 7870860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1555)\/70*-2 + (-3)\/7. What is the highest common divisor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5.04. Let c = d + -0.26. Let j = 0.3000075 + c. What is j rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 17 = 66*l - 71*l, 0 = -4*c - 20*l + 56 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -831401494*g**2 - 311672154*g wrt g.\nAnswer: -1662802988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 154*z**3 - 152*z**3 - 36*z**4 - 2 - 11*z**2 + 13*z**2 in the form b + m*z**3 + k*z**4 + d*z**2 + o*z and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 + 2*d + 3. Let w(l) = -14*l**2 + 6*l + 9. What is -8*k(s) + 3*w(s)?\nAnswer: -2*s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) 6 (c) 5.5 (d) 2\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 31404406 to the nearest 100000.\nAnswer: 31400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1328 + 2579\/2. Calculate the common denominator of v and (8\/(-28))\/(40\/(-730)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 4613.\nAnswer: 256\/4613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {j: 8, e: 7, r: 3}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 310 - 283. Calculate the smallest common multiple of 30 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 490.97 or -3\/5?\nAnswer: 490.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((8\/(-6))\/4). Let p = -9 + q. Let m = p + 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111110010001 (base 2) to base 16\nAnswer: -f91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 2 - 2 - 5*b**2)*(-22*b - 27*b + 58*b + 2)*(-9*b - 2*b - 5*b).\nAnswer: 720*b**4 + 304*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2807 + 2811. Solve -8 = 4*w - d*j, 6 = -3*w - 2*j - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:15 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 15*q - 2820 = 0. What is the greatest common divisor of q and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, q: 1, e: 1, w: 2, k: 1, g: 1}. Give prob of sequence keg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 4*t**3 + 0*t**3 + (0*t**2 + 0*t**2 - 2*t**3)*(-1 - 2 + 5) - 5*t**3 - 2*t**3 + 5*t**3 - t**3 - 3 + 3 - 2*t**2 + 15*t**3 + 6*t**2 - 5*t**2.\nAnswer: 7*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 - 13\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22818848 and 2080.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32228 > -161134\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 2)\/(-4)*-10. Let u be m\/(-15) - 14\/(-78). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 3, -72, 1 in descending order.\nAnswer: 3, 1, 0.03, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krrrkrrrrrkrrrrrrr. What is prob of picking 3 k?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3992 + 3991.90824. Round x to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025602 (base 9) to base 2.\nAnswer: 10000101111101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m + m + 16*m + 37*m - 46*m.\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 10138*v + 30827. Determine r(-3).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2\/3, -2.\nAnswer: -2, 2\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -9. What is the units digit of ((-3)\/c)\/((-1)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -385.9064+1\nAnswer: -384.9064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((1026\/(-567))\/38)\/((-12)\/(-70)))\/(-5).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44 + 54*s**2 - 4*s**3 - 54*s**2 - 68*s**3 wrt s?\nAnswer: -216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -5, 5, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = a + 4, -4*n + 10 = -5*a - n. Suppose -3 = -v - a. Suppose 4*r = -16, -3280785 = -v*j - 2*r - 14080793. Round j to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/26 - (-2385)\/(-585)) + 2 + 2)\/1?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5013*c**2 - 51*c - 2875780 wrt c?\nAnswer: -10026*c - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283 - (-1 + (-1 - (0 + 0))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/6 + 2965*d**2\/2 - 2343*d. Let t(m) = -2*m**2. What is t(s(i))?\nAnswer: -2*i**2 + 11860*i - 17582450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -36, -68, -104, -144, -188, -236, -288?\n\"Answer: -2*j**2 - 26*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37385533 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/1029 - -2179\/1715. Find the common denominator of 27\/10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324382303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6754148982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572 by -286.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.4 - 8. Let u = 10 + -12. Let o = r + u. What is the third smallest value in o, 4, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 4:10 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -363 + 125. Suppose 2*v + p = 4*n + 82, -n + v = -40. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -22*a + 88. Let z = 294 + -256. What is the remainder when z is divided by -5 + 3 - a*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-seven fifths of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75275 - 4.\nAnswer: -75279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12*s**2. Let l(i) = 5*i**2. Let n(a) = 2*a**2. Let q(j) = -3*l(j) + 8*n(j). What is q(d(o))?\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.86241 hours in days?\nAnswer: 2.28593375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*x**3 + 358*x**3 + 1 - 3.\nAnswer: -16*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -16319.3076 to the nearest ten.\nAnswer: -16320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*o = -25*o - 66236. Is o at most as big as 1139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 21*i**5\/20 - i**3\/2 - 21*i - 2. Find the second derivative of s(m) wrt m.\nAnswer: 126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-3\/2))**(2\/3)\/((i*i**3*i)\/i)**(-2\/47))**(-37\/3) assuming i is positive.\nAnswer: i**(851\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -178b506 (base 12) to base 7.\nAnswer: -56522604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*o + 55*o + 1383*o.\nAnswer: 1588*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -214446?\nAnswer: -42889.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199\/3 + -67. Let s = 1 - 0.8. What is the closest to s in u, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374758 = 4*k + 14*k + 373948 for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1814, 0.21, -0.23, -18 in descending order.\nAnswer: 0.21, -1\/1814, -0.23, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - u + 7, 3*u = -5*q + 5*u + 14. Let h(o) = -2 + o**2 - q*o + 13*o**3 - 6*o**3 - 6*o**3. Is h(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*u + u - 93, -3*u = -4*z + 53. Calculate the greatest common factor of z and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 34*t**2 - 54*t - 1436. Determine j(-32).\nAnswer: 2340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917383719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002998 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 17. Solve z + q = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8555.847 + -8693.56603. Let t = 137.7 + q. Round t to 3 decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 5*k + 11 = -5*r, -5*r + 5*k - 3 = -3 + 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023469 rounded to 4 decimal places?\nAnswer: 0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1527, -3045, -4559, -6069, -7575?\n\"Answer: 2*p**2 - 1524*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9103736, -9103723, -9103694, -9103643, -9103564?\nAnswer: -9103451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 205. List the prime factors of (2536\/36*-6)\/(m\/(-3)).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12556*0.181.\nAnswer: -2272.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-166)\/(-83)*1\/9*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*a = 5*a + 204, -4*a = 2*y + 76. Let j = y + 47. What is the remainder when j is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380196 is divided by 1723?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-7 - (2 - 12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -47*c + 45*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 552246316?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153303718.\nAnswer: 2, 311, 246469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14949 divided by 11?\nAnswer: 1359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -3, -102, -5 in decreasing order.\nAnswer: -2, -3, -5, -8, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28\/49 - (-68)\/(-168)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -21 + 3 + 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fz when two letters picked without replacement from {f: 3, z: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2040193952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2189 times 0.1\nAnswer: 218.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2680086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -877, -47, -3, -2\/9 in descending order.\nAnswer: -2\/9, -2\/5, -3, -47, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*110.2\nAnswer: 44.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57272.\nAnswer: 2, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -280.987.\nAnswer: -2528.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, u: 4, y: 3}. What is prob of sequence iy?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/10 - (-2)\/1. Find w such that -6*w**3 - 3*w**5 + 4*w + 4*w + 10*w**2 - 4*w**4 + t*w**2 - 7*w**4 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 2*v - 1. Suppose 2*w + 0*w + 4 = 0. Let l be x(w). List the prime factors of (2 + (l - 0))*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 23 = 31. Let s be 4\/(-1) - (-2 + z). Solve -s*x + 7*x + 2*y = 9, -2*x - 2*y = -14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 divided by 3?\nAnswer: 1007\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0264070772 rounded to 5 decimal places?\nAnswer: 0.02641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153994249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982131584.\nAnswer: 2, 7, 19, 31, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 - 0.46.\nAnswer: -51.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 520, 3, 2\/7, 0.4, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-120 - (-89316)\/756)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 58898\nAnswer: 11\/58898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -259771*w**3 + 5*w - 1717449 wrt w?\nAnswer: -779313*w**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 13*m**2 - 29*m + 18. What is the remainder when b(15) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253290*o**2 + 254002*o**2 - 507290*o**2 + 1 - 1.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 351 + -352. Sort j, 17, -2, 1.\nAnswer: -2, j, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -558*f*g*t**2*x**2 + 93*f*g*t*x**3 - 2*f*t**2 + 21*g*t*x + 13*t**2*x**3 wrt t?\nAnswer: -1116*f*g*x**2 - 4*f + 26*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79831 is divided by 159.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 1\/660*r**6 + 0 + 2\/165*r**5 + 0*r + 1\/33*r**4 - r**2 + 0*r**3. Find a such that b(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296\/259*(-245)\/28.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f**2 - 11*f - 6. Let x be h(10). Let w = x - -19. Suppose y - 628 = -w*c, 0*c - 2*c + y = -427. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from mmom?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 3, q: 1, m: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -6355?\nAnswer: -6355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**4 + 196*m**3 - 930*m**2 - 4900*m + 23875 = 0. Calculate m.\nAnswer: -5, 5, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 510080 from 1.\nAnswer: -510079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*a**5*u - 544*a**3*u - 5*a*u + a + 12*u - 7 wrt a?\nAnswer: 2540*a**3*u - 3264*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -43326 and -2.\nAnswer: -43328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 - -78. Put s, 8, -5, 0 in descending order.\nAnswer: 8, s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 108 + 140 = 0. Let d(h) = 112*h**2 - 6*h - 3. Is d(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2678383627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) 2 (c) 396 (d) -0.1 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i. Let a(f) = 25680947*f. Calculate w(a(v)).\nAnswer: -154085682*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -3, 1 in descending order.\nAnswer: 3, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 17*i + 65 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -160*q + 3636. Let r be g(20). Solve -426*j = -r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413326 is divided by 826.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 64, 8, -447?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38350 and 3391674.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1440, 7872, 18596, 33624, 52968, 76640?\nAnswer: 104652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80824 and 60618.\nAnswer: 242472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 38. Let w = x - 16.00055. Round w to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d = 6*d + 83*d. Let r = 0 - 0. Suppose r = -2*z + 6*z. Solve -4*t + z*t + 8 = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -44.7?\nAnswer: 44.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*m*p**4 + 23*m*p**3 - m + 38 wrt p.\nAnswer: 56*m*p**3 + 69*m*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7*c**2 + 6)*(0 - 2 + 1) - c**2 - 4*c**2 + 4*c**2 + 3*c**2 - 9 + 9.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 180\/53 and 2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1443, 1402, 1361, 1320?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 5*j, -10 = -3*v - 3*j + 26. Let u be 7\/28*4 - -4. Suppose -u = -5*a + 25. Solve 4*d = a*d - v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1)\/(3\/(-9)). Suppose -3*a + 4*q = -53, -29 - 22 = -3*a + d*q. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2\/3, -0.6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -856 + 207. Let b = -227 - c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -24, -39, -60, -87, -120?\n\"Answer: -3*t**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 8. Let h(l) = 8 - 2*l - l**f + 2*l**3 - 6*l**2 - 5*l. What are the prime factors of h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.727 - -9.727. What is the biggest value in -2, 10\/7, i, 3\/5?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 7. Let m = v + 3. Let i = 10 - 9. Which is bigger: i or m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaa. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wwqwlfwwwqwyqwwqww?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/154615668 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 586654239*g**2*x - 7361034*g*x + 31*g wrt g.\nAnswer: 1173308478*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5625 divided by 250?\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14661 + 15333. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.62 + 3.42. What is the nearest to 2 in -2, 2, -1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2425716 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1448008259 - -1448008349.99999858. Let q = i - 91. Round q to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + b - 32 - 34, z - 7 = -5*b. Let c = 16 - z. Let u be c + (3*-3)\/(-3). Solve -5*t = -u*y - 15, -3*y = -5*t + y + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4 - 4 + (x - 3*x + x)*(3*x + 0*x - 4*x) + 0*x**2 - 2*x**2 + 4*x**2 + 4*x**2 - 5*x**2 + 2*x**2 + (0*x - 3*x - x)*(x - 3*x - 2*x).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 62 in descending order.\nAnswer: 62, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209*c**5*w + 41*c**4*w**3 + 34868*c*w**3 wrt c?\nAnswer: 4180*c**3*w + 492*c**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (184 + -208 + (5 - -1))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 277070 and 6317196?\nAnswer: 31585980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 153?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g = -1286 + 1590 + 1716 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -195 in decreasing order.\nAnswer: 3, 1, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2783 = 989. Let m = 8212 + -8162. Calculate the remainder when h is divided by m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4210 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -371 - -495. What are the prime factors of c?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1059 - 710. Suppose -q = -5*b - 89. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 89.35759nm?\nAnswer: 0.000008935759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 625*i**3 - 29985*i**2 + 359280*i + 8640.\nAnswer: 5*(i - 24)**2*(125*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94830420 is divided by 109.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -13, -2, -5, 40.\nAnswer: -13, -5, -3, -2, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {v: 1, u: 3, g: 3, f: 6, c: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 6. Suppose 28 = q*b + 10. Suppose 15 = 3*s, -b*r + 0*r = -5*s - 83. Calculate the greatest common divisor of 180 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (6 - (339 + (2 - -4))). Calculate the greatest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869906 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*i + 259. What is the remainder when i is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -11.9, 7, 2\/3?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = l - 5*l - 8, 3*l = -d - 25. Let t = 5 + l. Let v(n) = n. Let p(s) = -s. Let r(a) = 3*p(a) + 4*v(a). Give r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12*(-2)\/30)\/(1\/(-370)). Let n = q - -298. Let b = 31 - 19. Solve 4*d - b = -n*f - 0*d, -4*f - 3*d = -9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 4*k**3 + 25 - 56 + 0*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 675 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (196*k**2 - 2 + 3 - 198*k**2 - k)*(-5 + 12 + 23) to the form q*k + r + o*k**2 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {y: 17, r: 2}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -352 + -967. Is -1318 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjlllljjj. Give prob of sequence ll.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -102 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 12. Let j = 0 + 1. What is the remainder when v(14) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdrffrfdrrdrfdfdfdd. Give prob of sequence rfrr.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 284058333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/3 + 3352*k\/3 = 0.\nAnswer: 0, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 + 4*v + 5. Suppose -2*j = 2*o - 18, 0*j - 2*j - 14 = -2*o. Let t be -2 + 4\/o*-4. Determine l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2076\/10)\/(3\/(-45)*-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2\/2 + 18*u - 3. List the prime factors of m(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {t: 1, o: 1, x: 1, j: 6, l: 1, i: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53933 - 5512 = -1531*w + 1974 + 19724 for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/14*(-2)\/(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 + 3 = -5*m, 5*g = -3*m + 1. Let l = 2 + 0. Suppose -g*p = -d, 3*p = -5*d + l*d. Which is smaller: p or 2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 1 = -x, 4*k + 10 = -3*x - 4. Let z = 26 - -7. Let c = x + z. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*3\/(-2)*-6. Let h = 29 - 2. Suppose 4*q - 5*q = -h. Calculate the greatest common divisor of q and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352 and 39688?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x = -121*x + 429 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 7*p - 25. Solve 5*u = -4*y + 28, -3*y - 15 + p = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23920945 and 9320?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5 = -g + 5, -3*g = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyb when three letters picked without replacement from bybbbhbbhhbyybybbb?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y = 64*y - 559. Calculate the remainder when 72 is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 + 121.44. What is v rounded to 1 dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86606136 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4864349\/6 (b) 3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -7.301\nAnswer: 3.6505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -588 divided by 3.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -8. Suppose n - 36 = -m. Suppose 71 = s - 18. Calculate the remainder when s is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/24 - (-2)\/6. Suppose -4*j = -7*j. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*r - 77*r - 29386. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-15) - 3)\/(-1). Let r = -89 - -85. Which is the second biggest value? (a) r (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4 = 3*n - 2*t, 4644*t + 58 = 4*n + 4649*t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 151 = -2*f + 8*l, 2*l = f + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 508*l - 508*l - 17*l**2 - l**2 - 3*l**2 + 2*l**2 + (-2*l - 3*l + 6*l)*(l - 1 + 1) - l**2 + 22*l**2 + 3*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*p + 711, -128*q + 5*p = -129*q + 177. Calculate the highest common divisor of q and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 1 + 3 - h**3 - h. Let j(f) = -f**2 - f + 1. Let g be j(-2). Let t(y) = -2*y. Let k be t(g). Give r(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*u - 9*u + 4 = 0, 4*o = u - 36. Put o, 2, -4 in descending order.\nAnswer: 2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -79\nAnswer: 19\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.6 + 18.9. Let o = 51.4209 - r. Let z = -0.08 - o. Round z to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3341503635398 and -10.\nAnswer: 3341503635388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*l - 10. Solve 4*p = 5 + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101010101100001000 (base 2) to base 4\nAnswer: -222230020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 6*t**2 - 2*t + 6. Suppose 4*z = -4*s + 152, -32 = -0*z - z + s. Let d = -23 + z. Calculate the lowest common multiple of p(-6) and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -11\/6*v**3 + 0 + 3\/2*v**2 + 45*v. Let t(s) = -s + 9. Let h(c) = -c + 4. Let a(g) = -7*h(g) + 3*t(g). Give 17*a(o) + 6*x(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7789 - 7793. Let l = 1.96 - -0.04. Which is the third smallest value? (a) z (b) 0 (c) -24 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/28 and -23\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/175, -0.08, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -7. Suppose 0 = 8*a - 3 - 21. Suppose 1 - 16 = -a*j. What is the highest common divisor of o and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.1917 decades in millennia?\nAnswer: 2.011917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 + 5*a**2 - 3*a - 3. Let x(y) = 4*y**3 + 5*y**2 - 3*y - 2. Let t(b) = -2*c(b) + 3*x(b). What is the third derivative of t(v) wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g**4 + 5*g**4 - 4*g**2 + 11*g**4 wrt g?\nAnswer: -624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1253 and 23599.\nAnswer: 29569547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 10.5. Let l = 1.6 + r. Round l to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2070\/(-575)*(-180)\/8.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246455245.\nAnswer: 5, 49291049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.082686 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -0.4 (c) 42\/5 (d) 0.3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**5*g*g*g)**(-49))**(6\/31)\/(((g*g**(1\/3)*g)\/(g\/(g*g**(-5)*g)*g))\/(((g*g*g*g**(2\/17)*g*g)\/g)\/g**9)) assuming g is positive.\nAnswer: g**(-153443\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*o + 24300 + 5247, 3*z + o = 29547. List the prime factors of z.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.422 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:39 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 2985, -1.\nAnswer: -5, -4, -1, 2, 2985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 18. Let m = s + 1. What is the closest to m in -0.3, 3\/2, 1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2382 is divided by 126.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and 15686?\nAnswer: 15702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**7\/280 + 7*g**6\/60 + 3*g**5\/2 + 9*g**4 - 5*g**3\/2 - 131*g**2. Let s(y) be the first derivative of k(y). Factor s(q).\nAnswer: 3*(q + 2)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 6*z**2 + 8*z - 5. Suppose j = 6*j + 5, -9 = -3*c + 3*j. Let q(h) = h**3 - 5*h**2 - 7*h + 4. Let d(n) = c*l(n) + 3*q(n). Give d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 139110285 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 + 11784\/(-408))\/(7\/17)*(-42)\/(-156)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.5586*-3.\nAnswer: -37.6758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 28 and 5748 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 5\/27*q**3 - 1\/90*q**5 + 0 - 1\/135*q**6 + 1\/18*q**4 + 5*q + 2\/9*q**2. Suppose y(u) = 0. What is u?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - 6*c**3 + 2*c**3 - 4*c**3 - 2*c**3 + 4*c**3 + (-2*c + 2*c + 2*c)*(c**2 - c**2 - c**2) + c**3 + c**3 - c**3 - 2*c**3 - 3*c**3 + 0*c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2120857 (base 9) in base 3?\nAnswer: -2010200221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 140*g - 1398. Let a(h) = 7*h**2 - h + 1. Calculate the least common multiple of m(10) and a(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*f + 130 = 243*f + 4*o, 2*o + 0*o = 90*f - 4*o - 1950 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992451 is divided by 57.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467, 3915, 13265, 31469, 61479, 106247, 168725, 251865?\nAnswer: 358619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2)*(-3 + 3 + d**4) + (-3*d**3 + 4*d**3 + 7*d - 3*d**3)*(-2*d + d + 3*d) + (d**2 - d**2 + d**3)*(d - 2*d + 2*d) + 2*d - 3*d**4 - 2*d.\nAnswer: -8*d**4 + 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/15 (b) 202238 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 12:16 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10, m: 9}. Give prob of sequence mtmt.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u**2 - 1. Let m = 12 - 0. Suppose -2*d - 8 + m = 0. Determine g(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 1 (c) -1005 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(18) + -2*sqrt(18))\/sqrt(2))\/sqrt(3) + 5 + 1*(sqrt(105)\/(sqrt(7) - sqrt(7)*-1))\/sqrt(5) + 3.\nAnswer: 3*sqrt(3)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4\/3 - 175586*f**3\/3 - 117060*f**2 = 0. What is f?\nAnswer: -2, 0, 87795","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 54 = 3*r, -2*r = 4*h - 6*r + 108. Let v = -24 - h. Solve -14 = -w + 5*o, -2*w + v*w + 5*o + 16 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7560 by 63.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttusd. What is prob of sequence ut?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000508 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 842 a factor of 37883522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3060 (base 9) to base 7\nAnswer: -6351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -12294 (b) 2 (c) 2\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**3 + g**3 - g**3)*(3*g - 33*g - 26*g) - 3*g**4 - 2*g**4 + 3*g**4 to the form i*g**3 + h + r*g**4 + s*g + b*g**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130 (base 4) to base 2.\nAnswer: 1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 0*l**2 + 8 - l + 3*l**2 + l**3 - 2*l**2 - 6. Calculate the least common multiple of 30 and r(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 10. Suppose 0 = 4*s - 3*l - 6 + 2, z = 2*s + 5*l. Let m be (2\/3)\/(3 - s). Which is bigger: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:15 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*p - 2*p. What is the hundreds digit of 14\/(-7)*(-182 + p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 20. Let d = 1.99999861 + k. Round d to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.5 + -0.5. Let t = 30.00053 - g. What is t rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h\/(h*h\/(((h*h\/h**16*h)\/h)\/h))))\/h))\/(h\/h**(-3))*h**(2\/47)\/(h*h**(11\/4)*h*h) assuming h is positive.\nAnswer: h**(-4645\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((2 - 2) + 7 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400480777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-33)*(-1)\/2*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5*sqrt(272)*-2 - (sqrt(272) + -1)*-2))**2 + 6*(sqrt(272) + -3 + (2 + sqrt(272) - sqrt(272))**2) + -4.\nAnswer: -1704*sqrt(17) + 352550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**7\/35 + s**6\/60 + s**5\/10 - s**4\/12 - 3*s**2 + 15*s. Factor u(t).\nAnswer: -2*t*(t - 1)*(t + 1)*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*z + 15 - 3 = 0, 3*u - 27 = -3*z. Solve -m + u*v = 9, m = 2*m + 5*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3, 29\/3, -38\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2142 - -2220. Sort k, 0, 1 in increasing order.\nAnswer: 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -0.026215?\nAnswer: 0.973785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(216*s + 571*s + 193*s).\nAnswer: -980*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 4:32 AM?\nAnswer: 267","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -19698 - -19719. Calculate the highest common factor of 567 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 934374452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -386*a. Let v(f) = 421716*f**2. What is b(v(m))?\nAnswer: -162782376*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*b**6*u**3 - 8*b**6 + 18*b**2*u**2 + 6*b*u**3 - 2 wrt b?\nAnswer: 2400*b**3*u**3 - 960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 11*x + 14. Let j be b(-10). Suppose -5*t - j*t = -558. List the prime factors of t.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.29 + 0.29. What is the closest to g in -8\/15, -1, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 108.6241 and -0.2.\nAnswer: -21.72482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 636 a factor of 1214286180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*n**4 + 21*n**4 + 174*n**3 - 36*n**4 + (0*n**3 + 2*n**3 + n**3)*(4*n - 2*n - 3*n).\nAnswer: -4*n**4 + 174*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*u + 4 = 21*u. Sort 4, 1, u in descending order.\nAnswer: 4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 95*v**2 + 7*v - 37. What is the units digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/9*(-168)\/(-196)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 129 = 200 - 59 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1369627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 249882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwwvwoowwoov. What is prob of picking 2 o?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12912, -2, 2, -779 in descending order.\nAnswer: 2, -2, -779, -12912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35113*f**3 + 5656*f + 5142*f**3 - 5658*f to b*f**3 + u*f**2 + y*f + l and give b.\nAnswer: 40255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18856, -18402, -17948, -17494?\n\"Answer: 454*v - 19310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8708 is divided by 3883?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9f28 (base 16) to base 11.\nAnswer: -28680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -38*z + 354. Let g be r(9). Let s(f) = 25*f**2 - f + 1. Let p be s(1). Let x = p - 23. Solve -l - g = x*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1268529403 minus -0.07?\nAnswer: -1268529402.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*b = -16, -4*q - 6*b = -3*b - 22. Let d(f) = 5*f + 0*f + 6*f**2 - q*f**2 + 7. Let y(x) = -x**2 - 3*x - 4. Determine -3*d(z) - 5*y(z).\nAnswer: -z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 1)*(-1 + 1 - 1) + 3 - 78 - 256)*(3*n**4 - 3*n**4 + 3*n**4) in the form r*n**2 + i*n + y*n**3 + f + c*n**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*d**3 + 46*d**3 - 10*d**4 + (2*d**3 - 1 + 1)*(5*d - 3*d - 4*d).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 27. Let v be ((3\/4)\/3)\/((-1769)\/(-35380)). Which is the second smallest value? (a) y (b) -2 (c) v (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 799586\/7 or 114226?\nAnswer: 114226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 669. Let c(q) = 35*q**2 + q. What is c(d(s))?\nAnswer: 35*s**2 - 46831*s + 15665304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*s**3 + 42095*s**2 + 84130*s - 336680 = 0. What is s?\nAnswer: -8417, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7995.779l to millilitres.\nAnswer: 7995779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1*j)*j)**(-15)\/(j*j**(-2\/7))**(-43) assuming j is positive.\nAnswer: j**(215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0.4. Let c = -1360 - -1364. Suppose -4*j + 3 + 9 = 0. What is the second biggest value in c, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52628727363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 46*a - 7659 = 136*a + 127*a for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-40)\/(-22) - 2)\/(338\/(-676)). Let h = 1 + -6. Suppose -5*i - 5*d + 35 = 0, 2*i - 2*d + 9 = 3*i. What is the third smallest value in i, z, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + 5*o - 6, -2*s = -2*o. Suppose -2*x = -2*k - 6, 0*x - x + s*k + 2 = 0. Solve -5*u = -5*w - 20 - 5, -u + x*w = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6508 + 4b2?\nAnswer: 69ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -6*g**6\/5 - 47*g**4\/12 + 8*g. Find the third derivative of q(k) wrt k.\nAnswer: -864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9830817ns?\nAnswer: 0.0000009830817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 48552*g**5 - 6495462*g**4 + 209354892*g**3\/7 + 47804454*g**2\/7 - 1783416*g\/7 + 15480\/7 = 0.\nAnswer: -1\/4, 2\/119, 5, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at least 5349\/664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**3 - 34*r**2 + 14*r + 26. Does 86 divide s(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (0 + 44 + -33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*l + 135 = -521*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + b**2 + 5*b**2 in the form a*b**2 + k + q*b and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29705, -118947, -267709, -475991, -743793?\nAnswer: -1071115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000034443774 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 54016 (base 9) to base 10\nAnswer: 35736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u - 15 = 0. Let v(o) = o**3 - 4*o**2 + 3*o - 1. Let t be v(u). Let z = 0.29 + 0.01. Which is the closest to t? (a) -0.1 (b) z (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 + 13*h - 19. Give z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 9*b = -4*j + 300, 2*j + 402 = 3*b. Calculate the highest common divisor of 96 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -363353, -726721, -1090089, -1453457, -1816825?\n\"Answer: -363368*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 350 - 1855. Suppose -9*k + 320 = -h. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.2, 0.4, -0.4, -2\/9, 834, 975\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*r**3 - 2*r**2 + 2*r**2.\nAnswer: 622*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1550025 is divided by 108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 274952 to the power of 1\/2, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.079 * -2954\nAnswer: 233.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 127*t**3 - 67*t**3 + 8420*t**5 - 60*t**3 - 28138*t**5 + t - 2*t**5 - t + (1 + 0 + 1)*(-2*t**5 + 3*t - 3*t).\nAnswer: -19724*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/2 - -31\/3. Let g = 49.932 + 0.068. Let l = 51 - g. Which is the nearest to 0? (a) r (b) l (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 1. Let k be n(-4). Let f be k - -1 - (-54)\/9. Sort -5, 4, f.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39734*f + 39733*f - 5, 8*n = -4*f - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: 969 (base 15) to base 8\nAnswer: 4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110293474?\nAnswer: 2, 31, 1778927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)*x)**(-5\/11))**(5\/2)\/(x**(-2\/11)*x*x**(-9))**2 assuming x is positive.\nAnswer: x**(3065\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -82*x - 2490. Let s be m(-36). What is the greatest common divisor of 54 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 1 - 1)*(-d**3 - 2*d**3 + d**3) - 210*d - 23*d**4 + 210*d to the form y*d**4 + b + k*d**2 + r*d + l*d**3 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 0.1, -93, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 21*d**2 - 196*d + 2. What is h(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 26, 3, 56, -2, 86 in descending order.\nAnswer: 86, 56, 26, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -209, -240, -267, -290, -309?\n\"Answer: 2*w**2 - 37*w - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9 and 64\/357?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 10:20 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20442 by -6.\nAnswer: 3407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h + 0*h)*(-4*h + 3*h + 3*h + (1 + 4 - 4)*(0 + h + 0))*(-6 + 2 + 3).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 349975.1 minutes in microseconds?\nAnswer: 20998506000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011112 (base 3) to base 11.\nAnswer: 47035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/(-72))\/((-14380)\/(-25884))\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - 6*q**2 + 4*q + 8. Let g(y) = 4*y**3 - 11*y**2 + 7*y + 17. Let j(w) = 4*g(w) - 7*l(w). Let o(i) = -i**2 - 1. Determine j(p) - 2*o(p).\nAnswer: 2*p**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -75\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 0*a + 4*a = -58, -28*w + 24*w + a + 88 = 0 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/(-1))*((-2590)\/1591)\/70?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -381*-1\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 + 11adbb?\nAnswer: 11ada3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/5 - 161056*w\/5 - 1621189696\/5.\nAnswer: -4*(w + 20132)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 17*u**2 + 2*u - 32. Let d be g(17). Suppose -9*b + 1870 = d*b. Suppose -j + 0*j = -2*r + 68, -j = 5*r - b. Round r to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-2)\/2 + 1. Suppose -5 = -b - 3. Suppose -3 = b*m - w*m. Solve -13 - 2 = -m*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*w = -1317 - 3067, -4*l + 4388 = -5*w. Let r = l + -785. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1136 and 864.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 3414*g\/11 + 620.\nAnswer: 2*(g + 2)*(g + 1705)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 121 in 3\/8, -6, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1661689 is divided by 5851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from yeyffydydyddyyddytpy?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*a - 18, 3*x - 4 = -a + 2*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d + 1. Let h be x(-2). Let y(j) = -j + 2. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44002 + 423?\nAnswer: 44425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1785\/(-3400)*1\/((-56)\/(-16))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4114922 is divided by 205.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186897425*f**4 + 214807461.\nAnswer: -747589700*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114.494826 - 66.49481. Let q = -48 + s. Round q to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 3. Suppose -146 + 200 = -9*d. Determine o(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112*111\/(-6216)*(-45)\/2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**2\/25 - 262*l\/25 - 172\/25 = 0.\nAnswer: -43, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1250 + 4039 = 2*h + 48*u, 4*h + 228 = 4*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 3*q. Let j be u(3). Let d = -2 + j. Is ((-3)\/d)\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (17 + -18 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*z = -0 - 17, 2*t = z - 3. Let q = 50 - 34. Suppose 0 = 3*u - 5*b - q - 6, -5*b - 10 = 0. Solve a + t = u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -92*i - 27. What is the tens digit of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -17*k**2 + 0*k**5 + 11\/30*k**6 + 0 + 358*k + 0*k**3 + 0*k**4. What is the derivative of m(v) wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-7)*(48\/(-84))\/(((-60)\/693)\/2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n**(-4\/5) assuming n is positive.\nAnswer: n**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -717 - -1064. What are the prime factors of p?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040823001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(sqrt(99) + (sqrt(99) - -3*sqrt(99))) + sqrt(99) + 0)**2 - -4*((sqrt(99) + (sqrt(99) + sqrt(99)*-3*-4 - sqrt(99)))*-5)**2.\nAnswer: 198*sqrt(11) + 1685088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/108)\/((-46)\/(-1380)))\/10.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 9255407 to the power of 1\/2, to the nearest integer?\nAnswer: 3042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.42, 0.107407?\nAnswer: 0.107407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159\/2 - 81. Let q be (30\/(-25))\/((-4)\/((-80)\/6)). Let m = q - -3. Which is the third biggest value? (a) m (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**5 + 6*r**4 - 14*r**4 + 10*r**4)*(-2 + 4 + 0).\nAnswer: -10*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = v - 4 + 39, 4*v - 148 = -5*n. Suppose 6*a = n - 8. Factor -4 - a*k**3 - 6 - 176*k - k**3 - 20*k**2 + 151*k.\nAnswer: -5*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 0.03. Let n = -1021.5 - -1022. Which is the closest to d? (a) -2 (b) n (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47698.\nAnswer: 2, 7, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 183289.335.\nAnswer: 54986.8005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 33 = 50*y + 2*g - 288, 4*g - 44 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -90*h**2 + 1620*h + 104 + 5\/3*h**3. Factor c(l).\nAnswer: 5*(l - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 37004665?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 206439892 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 7\/6, -1.03, 4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 39, 28?\n\"Answer: -11*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nno when three letters picked without replacement from oonkin?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1038, 8026, 26952, 63786, 124498?\nAnswer: 215058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -492 (base 11) to base 5.\nAnswer: -4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1)\/p*p)**(2\/67))**(-11)*p\/p**(1\/4)*(((p**(2\/3)\/p)\/p)\/p)\/p*(p**1)**(9\/11) assuming p is positive.\nAnswer: p**(-233\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/7)\/i*i))**(19\/4)*(i\/((i*i\/((i**(-1\/4)\/i)\/i))\/i)*i)**(-17) assuming i is positive.\nAnswer: i**(383\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 726?\nAnswer: 726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:03 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7042013?\nAnswer: 11, 199, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653073 = -105*n + 734607. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67787 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 21*p = -23520. Suppose -33*c = -13*c + p. Is -29 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*h**3 - 1400*h**3 + 1147*h**3 - 13.\nAnswer: 135*h**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**3 + 3*l**3 - l**3)*((16*l - 7*l - 14 - 10*l)*(-2 - 3 + 3) - l + 4 - 4).\nAnswer: -2*l**4 - 56*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021338 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 + -225?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 109 + -124 + (3 - 13) - 15\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x. Let j(w) = w**2 - 1078*w + 416. Give f(j(i)).\nAnswer: 4*i**2 - 4312*i + 1664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34873 - -34876. Let p(u) = -6*u**3 + 1 + 2 - 2 - 2*u**2. Let x be p(-1). Solve -7 = -x*o + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 60*b**2 - 98 + 98 + (2*b - b - 2*b - 2)*(-5*b + 5*b - 2*b).\nAnswer: 62*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -403 and -4825.3566.\nAnswer: -5228.3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18286 + -18291. Which is the fourth biggest value? (a) 3\/569 (b) k (c) -1 (d) 5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 63, 534, 1819, 4326, 8463, 14638, 23259?\n\"Answer: 68*i**3 - i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 3*f**2 + 0*f**2 - 2*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1292323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y + 22*y**3 + 3*y - 3 + 20*y**2 - 21*y. Let m(t) = -7*t**3 - 7*t**2 + 4*t + 1. Let u(i) = -17*m(i) - 6*z(i). List the prime factors of u(-2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473976 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*p**3 + 17*m**2*p + 333*m**2 - 244935*p**3 wrt p.\nAnswer: -6*m**2*p - 1469610*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/4? (a) -2\/11 (b) 2\/249 (c) -2\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 36. Let v = f - 16. Solve 9 - v = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 18*g + 19. Let t be (-25)\/(-7) + 21\/49. Let s be (2590\/22)\/7 - t\/(-22). Let j be p(s). Solve 0 = j*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 - 24*a**2 - 4544 - 628*a + 14*a**2 + 10*a**2 + 92*a = 0 for a.\nAnswer: -8, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-28))\/(5\/((-245)\/(-161))). Let h = -57 + 56.6. Which is the biggest value? (a) -2 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191 + 255 - (-9 + 25)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 182891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/6)\/(1\/(-2)). Let q = -1 - n. Which is greater: -1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 26 = -l - 0, 5*k = -5*l + 110. Solve -12*a + l = 11*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let k(x) = -x + 2. Let v(h) = 2*k(h) + 3*t(h). Let c(l) = 3*l**2 + 4*l + 3. Suppose 0 = -22*w + 102 + 8. What is w*v(i) - c(i)?\nAnswer: -3*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.83 + -35. Let l = a + 0.170002. What is l rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.874334 rounded to 1 dp?\nAnswer: -12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 364, 725, 1084, 1441, 1796, 2149, 2500?\n\"Answer: -p**2 + 364*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 + -508. What is the greatest common factor of 91 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 776443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d + 22*d - 21 + 981 = 0. Let o(w) = -2*w. Let u be 12\/(-2)*3\/(-9). Let a(t) = -18*t. Let x(k) = d*o(k) + u*a(k). Let l(n) = 5*n**2. Give x(l(p)).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 + 5*l**2 + 9*l + l - 2 + 3*l. What are the prime factors of n(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -26*n + 18 + 10. Let g be (5 - 1) + 2\/(-2). Let b be 18\/4 - (g - 1). Are b and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386228.\nAnswer: 2, 3, 331, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 - -200. Let p be 2\/(-7) - 44\/(-7). Solve p = 2*t + c for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = -s - 11*s. What is the least common multiple of 22 and s?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1302 and 151\/58590.\nAnswer: 58590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 2. Let w be b(0). Suppose -30*u = -20*u. Suppose u = -w*t - t - 69000. Round t to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2. Let b(f) be the third derivative of -6*f**2 + 0 + 0*f**3 + 1\/12*f**4 + 0*f. Calculate s(b(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 73, 143, 253, 409, 617, 883?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j - 3*s - 378, -2*j + 167 = 5*s. Suppose 60 = -31*v + j. Which is smaller: v or 1\/87?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 0 - 4*k**3 + 0.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*v + 9\/10*v**2 + 8\/5 - 1\/10*v**3 = 0 for v.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by 734.\nAnswer: 23\/734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-192)\/156 - (1 - 54\/24). Let n(s) be the third derivative of -j*s**4 + 0*s - 1\/390*s**5 + 0 - 2\/39*s**3 + s**2. Suppose n(v) = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-230)\/184 + 180987\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 3*w - 8*p, 19*w - 51*p + 47*p + 56 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (54 + (-7 - 12))) + 76?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -666 (base 15) to base 12.\nAnswer: -a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 164 times 20886.1\nAnswer: 3425320.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40843 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + (-11165)\/(-15950)*(1 + -2 - -11)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 4\/3 (c) -8817\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3921994?\nAnswer: 2, 191, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 23. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 38. Let t be b(-4). Let h = -13 - -8. Put h, t, 2 in decreasing order.\nAnswer: 2, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 8. Let q(b) = -1350001*b - 2. Let w be q(m). Round w to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 1158, 12, 5, 0, 1 in decreasing order.\nAnswer: 1158, 14, 12, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - z**2. Suppose 4*f + 2 = 6. Let y(s) = -12*s**3 + 5*s**2 + 22. Let h(i) = f*y(i) + 5*t(i). Differentiate h(n) wrt n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*f + 50, 4*k - 83 - 2 = f. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 1. Let a(x) = 9 + 0*x + 21*x - 3*x**2 + 9. Calculate -a(d) - 18*n(d).\nAnswer: 3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 202*q - 2308. Calculate the remainder when 680 is divided by k(12).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/2 + 5*l**2\/2 - 12*l + 541. Let y = -8 - -3. What is x(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19, -117, -247, -409?\n\"Answer: -16*i**2 - 50*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15900 divided by 4?\nAnswer: -3975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 + 134.9. Let p = 2 - 2.1. Let r = p - -0.2. Put 3, r, q in descending order.\nAnswer: 3, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdppdddppp. Give prob of sequence dsps.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48818.\nAnswer: 2, 7, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 take away -9790063?\nAnswer: 9790063.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38665 and 567435?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13638.8645752 + -241.9329052. Let p = k - 13397. Let f = p - -0.068. What is f rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -125*k - 1846. Give a(-26).\nAnswer: 1404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 70482490936 less than 0.07?\nAnswer: -70482490935.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11086 + 10981 - (0 + -37)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 1499271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(6\/7)*g)*g*g*g)\/g**(-13))\/(g**(-3)\/g**4) assuming g is positive.\nAnswer: g**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (51*c + 4*c + 11*c)*(-186*c + 91*c + 94*c) in the form h + x*c**2 + m*c and give x.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14722, -14720, -14716, -14710, -14702, -14692?\n\"Answer: v**2 - v - 14722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1640 - -1648. What is the lowest common multiple of n and 2464?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.782 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7*q)\/(q*q*q*q*(q\/q**(-2\/3))\/q*q))**(-16)*((q*q**(1\/6)*q)\/(q\/(q*q**(-5))))**(2\/23) assuming q is positive.\nAnswer: q**(-2593\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1240?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 + -126. Let p(k) = s + 11*k + 11*k - 23*k. Suppose -8 = 2*y + 4*o - 32, -3*o + 9 = -3*y. Calculate p(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25165, -100617, -226367, -402415, -628761, -905405?\nAnswer: -1232347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 218538640 a multiple of 1627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 13*d - 17. Let j(p) = 5*p + 25. Let u be j(-7). Let o be t(u). Solve 4*m - 4 = 3*z - 30, -4*z + m = -o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 divided by -220?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6)*(-304)\/(-10). Suppose j - z = -6. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2583\/171 - 9)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1720 by -5.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47325 and 111687.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*(-1)\/4*2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**3 - 2*o**3 + 2*o**3)*(3 - 2 - 3)*(-2 + 3 - 5) in the form u*o + r*o**3 + n + m*o**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 1:49 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 < 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, b: 9, c: 2}. Give prob of sequence ppc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 4, -102, 11, 675?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*k. Suppose k = 5*m - 8*m + 12. Suppose 4\/9*j**2 + 0 - 2\/3*j**3 + 0*j - 4\/9*j**m + 2\/3*j**5 = 0. Calculate j.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h. Let r(i) = -3*i - 2. Calculate -7*r(p) + 6*v(p).\nAnswer: 3*p + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36102511 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 11 + 9 + g**2 + 7*g**2 + g**2 - 13*g**2 to x*g + t*g**3 + v + q*g**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.07 - 0.93. Suppose -3*n - 7*x = -2*x, 2*n - 5*x = 0. Is n < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/1 - 1) + -48. Let v be (1\/2)\/((-2)\/i). Suppose v*a**4 + 18*a + 6 + 2*a**2 + 30*a**2 + 28*a**3 + 2*a**5 - 2 = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -3. Let f = 9474290 + -9474295.9999997. Let y = f + i. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1381980 - 1382261.82656. Let z = a - -150.82737. Let q = z + 131. Round q to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-513)\/(-38))*-8\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose b + m*p - 157 = -2*p, -3*p = -5*b + 785. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*s + 19*f - 14*f, -s = 18*f - 216 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3 + 1679. Let t(v) = -21*v**2 - 1. Determine b(t(g)).\nAnswer: -1323*g**4 - 126*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c - 172. Let t be (-50)\/100*(-1 + -55). Is 24 a factor of w(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235311 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1874, 3753, 5632, 7511?\nAnswer: 9390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*x - 208 + 208.\nAnswer: -262*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -95\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -74. Which is the closest to 1.1? (a) -0.1 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1020, -4095, -9202, -16329, -25464, -36595, -49710, -64797?\nAnswer: -81844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d = -5*v + 15, -5*v + 15 = -5*d. Suppose d = -3*b + 4*m + 17 - 0, 4 = -2*m. Factor 1 + 4*j**3 - 6*j**b - j**2 + 4*j + 0*j - 2*j**3.\nAnswer: -(j - 1)*(j + 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b - 15 = 35*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - x + 5 = 0, -25*h + 15 = -24*h + 3*x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 - 4*l - 1. Suppose 4*g = -3*q + 212, 266 = -q + 5*q - 3*g. Let x = -65 + q. Determine k(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) 2\/11 (c) -0.047 (d) 220\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(0*f - f - f - f + 3*f + 0*f - f + 6*f - 3*f + (-1 + 3 + 0)*(2*f + 0*f + 0*f) + 2*f + 2 - 2 + 10*f - 13*f + 10*f + 0*f + 6*f - 5*f).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1592 (base 10) to base 7.\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287700410.\nAnswer: 2, 5, 83, 346627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6106?\nAnswer: 2, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88687594.\nAnswer: 2, 37, 1198481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*o**2*u**3 - 17*g*o**2*u - 3*g*o*u**2 + 2*g*u**3 - 9*g*u**2 + 2*o**4 - u**2 wrt o.\nAnswer: -2*g*u**3 - 34*g*u + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 358*t**2 + 5209*t + 54. Determine s(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*g = 52*g + 98816 - 317232. Is g < -2990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4353 - 2667. List the prime factors of q\/54 + 2 + (-40)\/18.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + 127. Is x less than or equal to 3\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2\/5 - 78*s\/5 + 1368\/5 = 0. Calculate s.\nAnswer: -38, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2735, -5684, -8633, -11582, -14531?\n\"Answer: -2949*h + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 21 = 4*d, -4*d + 48 = -5*v + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let r(o) = o**3 - 2*o**2 + 10*o - 36. Let g be r(3). Suppose -g*a + 12 = a. Give q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 6. Let q = 3 + p. Let j(m) = 2*m + 1. Determine j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -4917048.\nAnswer: -23\/1639016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 - 3*n**2 - 10*n + 7. Let c(u) = u**3 + 7*u**2 - 8*u - 5. Let m be c(-8). What is the tens digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*a + 12611, -n + 3346 = -5*a - 845. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n = 6*n + 663. Calculate the remainder when n is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose a*z = -3*t - 12, 4*t + 0 + 22 = -2*z. Let c(s) = -193*s - 1. Let o(y) = -161*y - 2. Let p(n) = 5*c(n) - 6*o(n). What is p(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437218435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(38) + 1*sqrt(5472) + sqrt(5472))\/sqrt(2) + (-1*(sqrt(133) - -2*sqrt(133)))\/sqrt(7)).\nAnswer: -110*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3628 and 5?\nAnswer: 18140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 142*k + 14 = 148*k, 5*k - 8 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -300*q**2 + 299*q**2 - 58 + 58. Let b(o) = 4*o**2 - 144. What is k(b(v))?\nAnswer: -16*v**4 + 1152*v**2 - 20736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 669 + -340. What are the prime factors of y?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/144*3)\/((-10)\/(-9)). What is the nearest to 0 in -9, -0.03, v, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.5 (c) -19.4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + 18*z**2 + 2*z + 70. Let i(o) = -5*o**2. Give y(i(u)).\nAnswer: 5*u**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*h - 17 = h, 0 = 3*v + 5*h + 1. Suppose 4*y - 5*y = -v. Suppose 2*z = -z - 2*p + 1, -4*z - p + y = 0. What is the smallest value in -4, z, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 - 46*r - 1058.\nAnswer: -(r + 46)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*d + 2*l - 19, 0 = l - 5. Is ((-3)\/(6\/d))\/(5\/5435) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 10*m - 16. Let d be x(-8). Let i(n) = -n**3 - n**2 + 8. Let j be i(0). Solve v + 12 + j = -4*c, -3*c - 2*v - 20 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 2972\nAnswer: -59.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 16 = 0. Suppose i*z = -3*h - 1 - 2, -5*h + 3*z - 5 = 0. Let t = h - -5. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 3:29 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -4 - 2 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*f = 4, 94*i = 98*i + 5*f + 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-2*2 - sqrt(1900)*-1*6)**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e9 - -9?\nAnswer: -9e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13984949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-5)*5\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2370, -9405, -21104, -37467, -58494, -84185, -114540?\n\"Answer: -2332*x**2 - 39*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-132)\/(-20))\/(1\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0*i - 40. Let k(f) = -5*f + 14 - 23*f + 2*f**3 - 7*f**2 - 2*f**2 - 12*f**2 + 37*f. Let y be k(i). Solve 2 = -y*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15530 + 15529.992245. Round q to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 19 = 10*g - 3*g, 5 = 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34373.64045 + -4157\nAnswer: -38530.64045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 543 - 3178. Let y = 499 + i. Which is smaller: y or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 6:59 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -4*f + 8 - 1\/2*f**2. Does 3 divide l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.584 + 0.181. Let o = s - -0.3799. Round o to three dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 3\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0342776 + 0.194125484.\nAnswer: 0.159847884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 26 + 26321\nAnswer: 26347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46032881?\nAnswer: 47, 979423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90359730?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/7)\/y**7*y**5\/(y**12*y*y))**(-4) assuming y is positive.\nAnswer: y**(444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 305 + 2*u**3 + 32*u**2 - 3*u + 303 - 618 in the form x*u**3 + p*u**2 + w + g*u and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 727, 726, 725, 724, 723?\n\"Answer: -u + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*m + 1, m = t - 40 + 44 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45183617*h**2*k**2 - 2*h**2 + 2*h*k**2 + h*k - 5553120*h - 2*k + 4 wrt k?\nAnswer: -90367234*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*h - 228, -3*f + 4*h + 140 = -0*f. Calculate the remainder when f is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1979004?\nAnswer: 1\/1979004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - z - 24. Suppose a - 24 = m - 3*a, -5*m - 24 = 4*a. Let y = 12 + m. Solve 0 = x + d + 3, z = -d + y*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/9916 and 27\/427460?\nAnswer: 15816020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 195 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:32 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.03 (b) -0.4 (c) -5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/178534, 1, 76?\nAnswer: -3\/178534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9988414 times 0.3\nAnswer: 2996524.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893405349 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 + 130 - 40)*(-3*u + 5*u + 0*u) + (1 + 0 - 4)*(-3 + 4 + 0)*(0*u + 5*u - 3*u).\nAnswer: 240*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 274*d**2 - 2 + 2*d + 288*d**2 + (6*d - 2*d + 5*d)*(-1 + 3*d + 1).\nAnswer: 41*d**2 + 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738733329083 - -0.5?\nAnswer: 2738733329083.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*w - 168 = -312*u + 307*u, -30 = -u - 2*w for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/(-3))\/(-3 - -2). Suppose -4*p + 5*a + 25 + 8 = j, -a = -5*p + 15. What is the third derivative of -p*x**5 + 2*x**5 + 3*x**5 + 3*x**2 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j - 1\/24*j**4 - 1\/360*j**5 + 0 + 4*j**2 - 5\/36*j**3. Factor x(k).\nAnswer: -(k + 1)*(k + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 261, 3\/5, 0.24, -0.4, -133, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100001100111 (base 2) to base 9.\nAnswer: 15162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 555, 830, 1081, 1302, 1487, 1630?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 92, 215, 396, 641?\n\"Answer: g**3 + 20*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23664)\/(-816))\/((-2)\/2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.14 - -16. Let u = d + -0.06. Suppose 4*w + x = 0, -x = 5*w + 3 - 4. Which is the smallest value? (a) w (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.79, -3 in decreasing order.\nAnswer: 0.4, -0.79, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3115 rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 220*d + 72. Let y be z(9). Suppose 0*w = 6*w - y. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863478 is divided by 863275?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/11)\/(s*s**(-9)*s))**22 assuming s is positive.\nAnswer: s**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -0.1. Which is smaller: g or 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, y: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 294121488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497812049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23*((-3)\/1 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.154579 take away -3?\nAnswer: -103.154579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 500793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 2*d**3 - 8*d + 3*d**3 + 9 - 8*d**2. Let b be r(7). What is the first derivative of 0 - 4 - l**b + 2 wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 17*x. Suppose -8*p + 3*p = x. Suppose p*s - 2 = -s. Let t(z) = z**3 - 2*z**2 + 3*z. Calculate t(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6, 2*x - q - 1 = 1. Let r be (-1 + (4 - 4))*x. Suppose 2*g + 2*g = r. Solve 4*u - 3*u = g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 180 + 222. Let l = 291 - y. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089059 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207\/5 - -1567\/30. What is the common denominator of x and 41\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -q + 5502, -2*d + 3472 = q - 2045. List the prime factors of q.\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 9:00 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -7229, 2 in decreasing order.\nAnswer: 4, 2, -2, -7229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 p when three letters picked without replacement from apaaaappapap?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**3 + 4*v**2 + 3*v. Let u = -181 - -181. Let r(h) = 6 - h**2 - h - 7 + u + 2*h**3 - 3*h**3. Calculate -m(b) - 3*r(b).\nAnswer: -b**3 - b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k. Let m(z) = 7*z + 1. Let f(y) = -10*y + 31*y - 13*y - 9*y. Let d(x) = 5*f(x) + m(x). What is -2*d(c) + 7*l(c)?\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17937*b**4 + b**3*s + 5*b**2*s + 2*b*s - 14*b - s + 826 wrt b.\nAnswer: 215244*b**2 + 6*b*s + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.619 litres in millilitres?\nAnswer: 270619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*(sqrt(117) + 5) + sqrt(117).\nAnswer: -3*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(65\/15 + -4). Suppose -2*u - 3*u + n = -5*s, -3*s = u + 8. Suppose u*x - 2065 = -0*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 236 + 22*s - 387 + 51 + 48.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 784 and 64442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 8*w - 10. Let g be s(-3). Let f be (-24)\/(-42) + g\/(-14). Solve -3*b + 6 + f = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m - 1532 + 371 = -70*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2999 take away -0.3663?\nAnswer: -2998.6337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-29*l + 19*l - 3 + 13*l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33094637 is divided by 2363902.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + (-17 + 11 + 12 + -9 - 7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1089771314 to 5 decimal places.\nAnswer: -0.10898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 36*n. Let f be v(5). Let i = 30 - 10. What is the highest common divisor of f and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83291292.\nAnswer: 2, 3, 7, 37, 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 34. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -607370 + 607334.99932. Let s = -35 - x. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 5*h**2 - 27*h**2.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30905 + 35753 = -101*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1762*y**2 + 38109871*y - 38109871*y.\nAnswer: 1762*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 1. Let r = -409 - -426. Calculate the remainder when w is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 - g**4 + g**4)*(-60559 + 60563 - 1147*g - 989*g).\nAnswer: 4272*g**5 - 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19388, -18573, -17758?\n\"Answer: 815*y - 20203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 + -19 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 14. Let c = w - 2. Suppose -3*f + c*f - 43 = r, -2*r + 4 = 0. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6*b - 3*b + 16 = 0, -3*b - 12 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 2.06. Let i = -6842 - -6841.5. What is the closest to 2 in 4, r, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2416.9 + -2796563.\nAnswer: -2794146.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17507 times -2.1?\nAnswer: -36764.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 271.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338, 1622, 1916, 2226, 2558, 2918?\nAnswer: 3312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306728 is divided by 360?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45, 0, 2\/9, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s = -18. Suppose 2 = -2*j, -4*k - 4*j + 50 = s. What is the smallest common multiple of 26 and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-9)*1785\/(-476)*3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-146)\/(-1825))\/((-32)\/(-30) - 1)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**6\/300 - 2*q**5\/75 - q**4\/4 + 6*q**3\/5 + 179*q**2. Factor l(z).\nAnswer: 2*(z - 6)*(z - 1)*(z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0257541029 to five decimal places.\nAnswer: 0.02575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*m**3 + 14*m + 12*m**3 - 514 + 5*m**3 + 7*m**3 with respect to m.\nAnswer: -18*m**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 100*x - 496 = 1574. Solve -91 = -x*b - 145 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7*q - 188, 55*q = -182*i + 181*i + 52*q - 76 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 193*x + 4190. Determine k(115).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33457618?\nAnswer: 2, 31, 539639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2))**3\/(o**(-2\/7))**25*(o**(-4)\/o**(-9\/2))**20 assuming o is positive.\nAnswer: o**(219\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 18 + 6, -5*l - q = -176. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/18 + (-41)\/(-3). Let l = 13 - 19. Let r = l + 5.7. Which is the second smallest value? (a) 0.1 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -7. Solve -2*l = -3*n + 1 + 6, 3*n = 5*l - k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141202 is divided by 1635.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - -10. Suppose -l = u - 6*u. Suppose 37 = u*x - 89. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -869 - -53.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 6 = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (98 - 2)\/(3\/2784). Suppose -6*f + 445368 = -f - 2*y, -f + d = -4*y. Let q = f - 179072. What is q rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.155 and -36 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (44\/5 - 8))*-4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**3)*(3 - 2 + 3)*(8*b - 2 + 2).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -516 + 515. Suppose 1 + 5 = -z. Sort 1, z, l in decreasing order.\nAnswer: 1, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*b**2 + 4*b**3 - 13*b**3 + 8*b**3 - 10*b wrt b?\nAnswer: -6*b - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + u)*(3*u + u + 0*u)*(3 - 2 - 6) in the form o*u**2 + s + d*u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5437869 is divided by 116.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 4\/15, -0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(19) - sqrt(76)\/sqrt(4)) + -5 - sqrt(114)\/sqrt(24))**2 - ((6*(sqrt(1900) + -2))**2 + (1 + sqrt(1900))**2 + 3).\nAnswer: -281669\/4 + 1425*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**3 - 3\/2*c**2 - 3 - 1\/4*c**4 + 3*c. Calculate r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -15. Sort i, 7, -2 in increasing order.\nAnswer: -2, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 11*h + 520. Suppose -4*d + h = -460. Suppose -2*f - 34 + d = 5*b, -f = -b + 20. Solve -4*q = a - b, 5*q - 19 = -4*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -317\/35 (b) 54 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/282, -0.7 in decreasing order.\nAnswer: 0.5, 1\/282, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9664 and 80?\nAnswer: 48320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -5*i, 4*s + i - 6 - 1 = 0. Let c = 9 - s. Solve k**5 + 17*k**2 + 9*k + 14*k**3 - 2 + c*k**4 - k**2 + 4 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9356 and 6080.\nAnswer: 14221120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/189 - -10\/27. What is the nearest to -0.2 in 8, s, -3, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + b - 2. Let s(o) be the first derivative of o**3\/3 + o**2\/2 - o - 4. Let x(u) = 6*s(u) - 3*y(u). What is the second derivative of x(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 2*a - 5*h - 54, -2*a + 13*h = 37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-15))\/(-4) - 492369\/180. Let l = f - -2734. What is the common denominator of 71\/48 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202358 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 10. Let v = 46883 - 46880. Put 11, -5, b, v in decreasing order.\nAnswer: 11, v, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 9}. Give prob of picking 1 y and 3 o.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -75 in descending order.\nAnswer: -3, -4, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 85 = -299 - 53. Calculate the highest common divisor of 5168 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35598 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1533*l**2 + 1555*l - 7. Let j(x) = 1523*x**2 + 1558*x - 8. Let m(h) = -4*j(h) + 5*u(h). What is the second derivative of m(y) wrt y?\nAnswer: 3146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 478 - 3518 = 0. Suppose 49*h - 44 = p. Solve -24 = h*o + 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 7) to base 2\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1464603 + -34.44?\nAnswer: -39.5864603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7246, 7249, 7254, 7261, 7270?\nAnswer: 7281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 4*t - 2. Let h be j(2). Let g be (15\/(-5))\/(2\/(32\/12)). Which is the nearest to 0.1? (a) -3 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4. Let f(p) = 3*p + 4. Is f(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -762353 (base 9) in base 4?\nAnswer: -1232330322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 + 0*a + 3*a + 22*a**2 - 21*a**2 - 5 + 2*a**4 + 5 + (3*a - a + 0*a)*(-3*a**2 - 2*a**3 + 3*a**2) as c + m*a**4 + p*a**2 + i*a**3 + b*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -4\/5, 374, -0.5, 0.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*y + 36444, 4*b - 23*y + 28*y - 72887 = 0. What is the thousands digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15708 and 25604964.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1913 divide 38466681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -51.02. Let d = -885 - -884.7. What is the third biggest value in s, d, -6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -1153*r**4\/2 + 6829*r**3\/3 - 14112*r. Find the second derivative of c(t) wrt t.\nAnswer: -13836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3624 = 3*b, 5*m - 3706 = 3*b + 2350. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -501 + 630. Calculate the greatest common divisor of k and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 + 171. What is the greatest common factor of w and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 13. Let h be s(10). Let l be 2\/(-22) - (-544)\/(-187). Is h < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21347.\nAnswer: 21347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w*w*(w\/(w\/(w*w**(-2\/19))))\/w*(w*w**(2\/5)\/w)**(-26) assuming w is positive.\nAnswer: w**(-1568\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/13 - 252*f\/13 = 0.\nAnswer: 0, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2325 - 2323. Which is the closest to -0.44? (a) -1\/2 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j**3 + 4*j**2 - 8*j - 11. Let y(v) = 0*v + 5*v**2 + v - 4*v**2 - 2*v + v**3. Let f(q) = h(q) + 6*y(q). What is the units digit of f(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/6 - 1\/3. Solve c*x - 19 = 3*b, -x + 1 + 0 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 19*r + 627. Give b(-35).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2033?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 42036.\nAnswer: 210180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 7 - x**2 - x**3 + 3 - x. What is the lowest common multiple of (-2)\/9 - (-506)\/414 and s(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.22 (b) -0.2 (c) 1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 1 - 11. Suppose 3*d + 0 + 6 = 0. Let i(v) = -v**3 - v**2 + 2. What is the remainder when i(d) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-4)*c*c**(-3\/10)*(c\/c**(-2\/43))\/(c**7*c) assuming c is positive.\nAnswer: c**(-3979\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9513 divided by -3171?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2379 + -2379.00001926. What is d rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12 and -1\/1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 64?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/(-84) + ((-9)\/(-108))\/(-1)*182?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 4*q + 244, 25*q - 6836 + 8334 = -i for q.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b5ca5 (base 13) to base 4.\nAnswer: 31333233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080 = 35*y - 38*y. Let i be 9\/(y\/(-10)) + (-14)\/24. Which is the smallest value? (a) 6 (b) 3 (c) -0.05 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/1611873 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2421*s - 2790*s + 328070 = 5821*s for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 - i - 1. Let f(o) = -2*o - 2 - 5*o**2 + 5*o**2 + 4*o**3. Let p(g) = -2*a(g) + f(g). What is the third derivative of p(s) wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14448 and 164579232.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1665922 and 121.\nAnswer: 1666043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/120)\/(20\/75)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 41.06. Let y = l + -0.16. Round y to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4006668278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10168 divided by 5\nAnswer: 10168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Solve 3*h + 17 = 4*i, 2*h + s*i = 5*i - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = -29*d - 3*d - 119 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 2*t**2 + 46*t + 2669. What is b(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 146*b**2 + 152*b + 180. Let t be r(74). Calculate the highest common factor of t and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/360 + q**5\/40 + 5*q**4\/24 + 23*q**3\/3 - 5*q**2 + 3. Let p(l) be the first derivative of o(l). What is p(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c = 14*c + 25, -5*k + 4*c + 5600 = 0. List the prime factors of k.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 28*m**2 - 59*m - 171. Calculate w(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 240.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = -1. Put 4, 22, u in ascending order.\nAnswer: u, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 14*x - 8. Let v(n) = n. Let h(w) = c(w) - 12*v(w). What is h(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -15. Let c = o - -87. Suppose 0 = -3*l + c. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2548)\/(-868) + (-4)\/(-62). Suppose 5*v**4 - 5*v**2 + 15\/2*v**a + 0 - 15\/2*v**5 + 0*v = 0. What is v?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 182680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 12, z: 5}. What is prob of sequence zn?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 4*j - 148. Let w = 31 - j. Let a(b) = -9*b. Let i(p) = -2*p. Let q(n) = w*a(n) - 6*i(n). Let c(l) = l. Give c(q(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**2 - q - 96. Calculate a(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2 + 5 - 4*f + 3*f - f**2. Let q be o(0). Find h such that -3*h**q + h**3 + h**4 + 5*h - 1 - 3*h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 10 - 446*i**2 - 440*i**2 + 1328*i**2 + 4*i - 436*i**2 in the form b*i**2 + d*i + w and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(((-77)\/252)\/11). Suppose 0 = 28*w - 312 - b. What is the lowest common multiple of w and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*t + 177*t = n + 6, -3*t = 2*n + 17 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 861 - 720. Calculate the remainder when r is divided by 74.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-131 + 5)*-2. Suppose d - j = 314. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*c = -217, -4*c - c = -4*d + 294. Find the second derivative of 8*z - 9*z + 18 + d*z**2 - 3 wrt z.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155736556+-0.014\nAnswer: 155736555.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from pssspp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 1142\/11. Let b = -1.12 - -0.12. Let t = -2 - -3. What is the nearest to t in o, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((6 - 0)\/(-2))\/(-2))\/(12018\/(-16024)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a. Let p(x) = -17*x**2 - 12*x. Let n(k) = 154*k**2 + 110*k. Let c(s) = 6*n(s) + 55*p(s). What is z(c(l))?\nAnswer: 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*-4)\/((sqrt(10) - sqrt(10)*-2 - sqrt(10))*4).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6225, 6226, 6225, 6222, 6217?\nAnswer: 6210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:00 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4248850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 3. Let c be b(0). Suppose -w + 948 = c*w. Suppose -3*f + 0*f + w = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598 and 59748.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201707, -403632, -605557, -807482?\nAnswer: -1009407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/12 - 2\/8. Suppose 5*s = -w*s + 30. Suppose n - s = -x + 4, -2*x + 32 = 4*n. Calculate the highest common factor of 66 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/42 + (-17)\/(4641\/(-17992)). Let s = y + -69. Which is the fourth biggest value? (a) 0 (b) s (c) -8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2245405 (base 6) to base 4.\nAnswer: 130021031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 5*m + 23*m + 20*m - 47*m to z*m + l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z - 106 = -5*p, -3*z = -2*p + 49. Let c be p\/130 + 7178\/(-13). Is -2 - c - (2 + -6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 50636.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 311 - 311.4. Let h be (-171)\/24 + 2\/16. Let f be 2 - (-7)\/(h\/2). Put f, 4, q in increasing order.\nAnswer: q, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p, -t + 4*p = -3*t + 20. Let g be ((-48)\/t)\/(5\/(-25)). What is the highest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 5*k - 1 = 0, 0 = -3*y - 0*y + 5*k - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x + 134*x**2 + 9*x + 144*x**2 - 41*x**2 + 1 to the form g + h*x**2 + v*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-816)\/(-6120))\/(8\/10*1)*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*p = -229, -2*p + 0*p + 172 = 3*s. Suppose -j - 4*h + s = 0, 2*h + 0*h = 2*j - 116. Let i = -53 + j. Sort 1, -5, i in descending order.\nAnswer: i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3 + 5 + -4 + -5 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-246861.96\nAnswer: -24686.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78937.09 weeks to nanoseconds.\nAnswer: 47741152032000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 41*n**4\/12 - n**2\/2 + 5*n. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0496 in -5, -2, 1\/148, 3?\nAnswer: 1\/148","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/287 and -39\/287?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 41a59a (base 11) to base 15\nAnswer: d457e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = z - 3 + 14, z + 2*s = 13. Let w(r) = -r**2 + 9*r - 4. Is w(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-3)*z))**11 assuming z is positive.\nAnswer: z**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1400746?\nAnswer: 5602984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30994, 124239, 279720, 497431, 777366, 1119519?\n\"Answer: -u**3 + 31124*u**2 - 120*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*k - 382, -4*s - 3*k - 357 = -8*s. Let f = s - 85. Suppose l = f*l - 742. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 - 81. Suppose 15*s - v = 6*s. Solve -3*j = u - s - 12, -4*u = -2*j - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r = -7*k - 9*r - 74, -k - 3*r - 12 = 6 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 531*t**6 + 20398*t**5 + 256*t**2 + 77300.\nAnswer: 63720*t**3 + 1223880*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-6 + (3 + sqrt(1900) - sqrt(1900)) + 0)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(68) - 3*sqrt(68)*-1))\/(3*sqrt(24)\/(sqrt(6)*-2 - sqrt(6))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**5\/3 - 33490*x**4\/3 + 18703815*x**3 - 35051400*x**2 - 3881604240*x + 24211664640 = 0. Calculate x.\nAnswer: -16, 9, 3348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/5)\/8 + 2108\/(-2015). Let r be (-1364)\/(-1494) + (-2)\/9. Let w = r - 2\/83. Sort -2\/11, w, x in decreasing order.\nAnswer: w, x, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 13) to base 4.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6833501 is divided by 114.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 75757 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*l - 7 - 577*l + 192*l + 152*l.\nAnswer: -52*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -72.3 and 35.392509.\nAnswer: -36.907491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19 - 2 - 2 - -3. Let a = -13 + c. Find the second derivative of 3*y**5 - 5*y**a - 16*y + 13*y - 5*y**5 wrt y.\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 62911?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*t = 12, -2*z = -t - 2*t - 2. Suppose -v = -2 - 0, i - 2*v + 4 = 0. Suppose i = -9*q - 16 - 2. Sort z, q, 3, 5 in ascending order.\nAnswer: q, 3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 176. Is 44 a factor of s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 16 = 0. Let j(b) = -5*b + 2. Let z be j(u). Let d = -9 - z. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2700243 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 9. Suppose q - 5*s = 3, -3*s - 45 = q + 2*q. Let m = q + 5. Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3479\/343 + 5 + 216\/42*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*u - 10491 - 8785 = -5091 + 7655 for u.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 350820*j + 61899200.\nAnswer: -5*(j - 176)*(j + 70340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-3)*27\/(-90). What is the second smallest value in r, 1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + y + 4 - 3, -3*y + 5 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*h + 10 = 178*h. Let d = 9 + -8.3. Let f = 1.7 - d. Which is the nearest to f? (a) -4 (b) 0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*r + 44, -4*i + 2 + 12 = 3*r. Let c(x) = 16*x + 17. Let z be c(-5). Let o = -59 - z. Solve 0*b + 3*y = b - r, -o*b = y + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2058882972?\nAnswer: -1\/2058882972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 169097927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*w**2 - 2*w**3 - 35*w**5 + 28*w**2 - 13*w**2 + 53*w wrt w.\nAnswer: -700*w**3 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13115 divided by -4168.\nAnswer: -13115\/4168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoww when four letters picked without replacement from {c: 1, s: 6, o: 2, z: 2, w: 3}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)\/p*p)**(-16)*(p*(p*(p*p**(-3)*p)\/p)\/p*p*p)**(-31\/4) assuming p is positive.\nAnswer: p**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 53571 + -2?\nAnswer: 53568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75672*n**2 + 155554*n**2 - 60709*n**2.\nAnswer: 170517*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43 in -2\/5, -2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -10.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - g - g)*(-31*g**3 + 41*g**3 - 204*g**3)*(2*g - 5 + 5).\nAnswer: 776*g**5 + 776*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -19*c**5\/20 + 2*c**3 + 4*c - 21. Let a(x) be the first derivative of d(x). Find the second derivative of a(h) wrt h.\nAnswer: -114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:37 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(-3)*(-59 - -67).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o + 12 = 3*j, 4*j + 4 = 0. Suppose -5*d + o = -25. Let a(i) = 5*i**2 - 6*i + 5. Is a(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 18*x + 1 - 15*x + (4*x - x - 2*x)*(-4 + 4 - 1))*(-3*x**2 + 5*x**2 - 3*x**2).\nAnswer: -2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 15373439225.\nAnswer: 15373439226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1113 and 2067?\nAnswer: 14469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l + 3. Determine f(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 226737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148 or 139?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 2 - 2*a**2 + 2*a + a**2)*(4*a - 19*a + 7*a).\nAnswer: -8*a**3 - 16*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53671?\nAnswer: 191, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11528296 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 657540 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -279921, -279860, -279799, -279738, -279677?\n\"Answer: 61*d - 279982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 2\/9 (c) -3\/5 (d) -0.3 (e) 2\/3 (f) -0.082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millisecond in microseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 16 - 20 + 114*y - 6 + 7.\nAnswer: 114*y - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from zwfuuuuuzuzuduuhhhw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/((-9)\/(-18))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 86\/(-58)*(19 + 77)\/16?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a5 (base 14) to base 7.\nAnswer: -25565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.73 - 15.77. Let s = f + 92.5. Let y = s - 75.9999898. Round y to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 24, 38, 6, -0.16, 1 in decreasing order.\nAnswer: 38, 24, 6, 1, 0, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, x: 3, m: 4, l: 2, k: 2, g: 1}. Give prob of sequence jjmx.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*54\/(-27)*6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p + 5 = 0. Let y = -1535026 + 1535030. Put -5, p, 0, y in descending order.\nAnswer: p, y, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-2965)\/(-10)*290\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4035 is divided by 3900?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1967 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*m - 790 = 926*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0.02, 4, -585?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*h + 25, -h - 9 = -0*h + 2*r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*y + 2. Suppose -1 = -17*d + 16*d. Put -1, d, y in decreasing order.\nAnswer: y, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1 + (1 + 18 + (-25 - 4) - 5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150*u + 116 wrt u?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133217 (base 8) to base 16.\nAnswer: b68f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 243 = -3*h - 43, 5*o + 164 = 2*h. Suppose 4*j + 0*j = -h. Let t be ((-3)\/j)\/(-1) + 25\/6. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 10*d - 2*d. Let j be -6*(d\/4 - (-22)\/(-12)). Find the third derivative of 29*t**2 + 29*t**2 + 21*t**5 - 52*t**j wrt t.\nAnswer: 1260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/2 and 37\/(-5 + -2 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500000 = -3*o - 3*o. What is o rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*g + 4686 = -3813, -3*k = g - 5105. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*k**3 + 15264*k**2 - 14809*k - 564 = 0. Calculate k.\nAnswer: -141, -4\/109, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeef when four letters picked without replacement from fefffexef.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*l - 658*l + 350*l + 1156 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 8.6. Put r, -0.3, 5 in descending order.\nAnswer: 5, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**5 - h**4 + h**2 + 1. Let g(i) = i**5 + 2*i**4 - 2. Let r(n) = -4*b(n) - 2*g(n). What is the third derivative of r(p) wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53114343 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Suppose n = 4*k - 1. Suppose -w - k*w + 381 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 200341*r - 1803054. What is n(9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-16 - -19) - (13 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/230132 and -43\/604?\nAnswer: 34749932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18645 + 10159. Let c = q - -20443. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-4)\/z))**(-40)\/((z**(7\/3)\/z)\/(z*z**(-10))) assuming z is positive.\nAnswer: z**(-751\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-52) + 1322\/8. Let r(y) = -y**2 + 13*y - 7. Let b be r(15). Let z = d - b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10875021.\nAnswer: 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 23 = -4*c. Let h(u) = -2*u + 24. Let g be h(0). Let i = c - g. Calculate the remainder when 28 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -j - 5*c + 129, 4*c = 20. Let b be (j\/(-4))\/(1\/(-2)). Let k = b - -8. Is k < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10251 and 459.\nAnswer: 30753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 45 - (8 + 1 - (24 + (-7 - 12))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 3*y + 2*y)*(23 - 20 - 89*y - 31*y) as z + x*y + q*y**2 and give q.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.47 and 0.11?\nAnswer: -0.1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14377 is divided by 13628.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -13. Let o(s) = -s**2 + 12*s - 2. Let x be o(5). Suppose 0 = 5*q - 3*q - r*f - x, -q + f = -17. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.1 - 287.137672?\nAnswer: -116.037672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -125. Suppose -y*s + 4 = 0, 0 = m + s - 3*s - 233. List the prime factors of m.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 5*x - 5. Let u be b(-4). Let y be 1 - u - 2 - 3. Suppose -y*q + 32 = -43. Calculate the remainder when 29 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 55.157471781255.\nAnswer: 55.457471781255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) -3 (c) 1.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42.8 in 8, -13, -1\/2, 1\/39?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -54620?\nAnswer: 54621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.399176 centuries to years.\nAnswer: 339.9176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 20. Let l be (5 + o + -26)*-2. What is the highest common factor of 140 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(21)\/sqrt(1728))**2.\nAnswer: 7\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/(9\/60). Let a = o - -12. What is t in 8\/5 + 0*t - 6\/5*t**a + 2\/5*t**3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + o - 4*o = 439, -4*h + 867 = 5*o. Let t = -108 + h. Calculate the greatest common divisor of 20 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 1\/33, -1.1, -1, -77, -6 in ascending order.\nAnswer: -77, -6, -1.1, -1, 1\/33, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1414*h**2. Let k(v) be the first derivative of v**3\/3 - 859. What is w(k(c))?\nAnswer: 1414*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**3 - 3*q**2 - 3*q + 3. Let d(j) = 14*j**3 + 16*j**2 + 16*j - 16. What is -3*d(a) - 16*w(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**2\/4 + 3*h\/2 - 4 = 0?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77\/3 - -25. Let r = -34 - -41.5. Let g = r - -2.5. What is the closest to 1\/3 in v, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c89b5a + -3?\nAnswer: -2c89b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 373553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*q**5 + 462*q**3 + 2*q + 7617 wrt q?\nAnswer: -300*q**3 + 2772*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 165932.9 kilometers?\nAnswer: 165932900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -492 - -496. Let i = -289 - -427. Is i + (-6 + a - -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1.8 - 17660\nAnswer: -17658.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j + 3*y, 4*j + 2*y + 2 = -0. Let p(h) = h + 1. Let w(a) = 6*a + 7. Calculate j*w(d) - 4*p(d).\nAnswer: 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (-49 + 41) - -93) + -10 + -1 + -2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5 - 16*p**2 + 6 + 13 - 27 + 2. Let j be 1 + (0 + 2 - -2). Suppose -4*b = m - j + 1, 4*b - 3*m - 4 = 0. Give s(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -0*v + v. Calculate the greatest common factor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - x + 20 = 0, 4*x - 27 + 15 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (-124 - -104)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044296702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328481625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2\/7 (b) 4 (c) 19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/10)*j)**(-4\/19) assuming j is positive.\nAnswer: j**(-18\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3*p**4 - 1 + p**2 - 2*p**2 + 0*p**2 in the form o + z*p**3 + l*p**2 + x*p + f*p**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529235 is divided by 33077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, f: 15}. Give prob of sequence fc.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 254*k**3*t**2 - k**3*t + 4*k**2 - 2*k*t wrt t?\nAnswer: 508*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(56) + (sqrt(1400)*1 - sqrt(1400)) - sqrt(56)) + sqrt(56))*-2)\/((1*sqrt(784) + sqrt(784))\/sqrt(2)))**2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -424223, -1696890, -3817999, -6787550, -10605543, -15271978?\n\"Answer: -424221*d**2 - 4*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -6, 0.5, -0.4, 2\/7, 70\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 40*i + 1265. Let s be m(-26). Solve -62*h + s + 23 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7413.\nAnswer: 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -3, 3, -2\/5 in decreasing order.\nAnswer: 3, 3\/2, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -324, -647, -972, -1299, -1628?\n\"Answer: -c**2 - 320*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-210)\/14*445\/(-75).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81 - 87) + 3 + -6 + 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:09 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8513859, -1 in descending order.\nAnswer: 0, -1, -8513859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*2 + (-23)\/((-322)\/505106) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-230888)\/(-7000) + -40?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.36 times 34889\nAnswer: 47449.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -351608916480+139\nAnswer: -351608916341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-20) - (-1)\/(-4). Calculate the remainder when 7 is divided by 0 + c + (-2)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -12. Let b(z) = z**2 - 7*z + 9. Let d be b(q). Solve 6 = -d*m + 4*j, j = 5*m + 6*j + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -112. Let d be (6120\/(-128))\/((-28)\/448). What is the greatest common factor of q and d?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvcdvvevve. What is prob of sequence ec?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2394 + 4060. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j + 20. Let b(a) = a**3 - 5*a**2 + 5*a - 2. Let f be b(j). Suppose -2*s = 4*m - 30, s = f*s - 5. Solve 5*i + 0 = m for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (-48 - 1 - 2 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 divided by 64?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-20)*-4*5\/2. Let v be (1 - -12*1) + 1. Calculate the greatest common factor of g and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tff when three letters picked without replacement from tfffftffccft.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*q - 6, n - 4*q + 19 - 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71.75125 micrograms?\nAnswer: 71751.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 10 = -4*l. Is (116\/l)\/((-14)\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l - 14*l - 1344686*l**2 + 1344682*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 3\/5 (b) 3 (c) -2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s*s\/s**(-1)*s*s**(-2)*s*s*s**4 assuming s is positive.\nAnswer: s**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 279231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261394181?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*g - 97, -v + 428 = -5*v + 4*g. Let b = v + 114. Suppose 56 + b = 13*s. Solve 5*a + 4*j - 1 = 0, -2*a - 32 = -s*j - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12771 - -21689. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 1011201?\nAnswer: -1011221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -1\/4, -12\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -4*y**3\/3 + 1. Let t(a) be the second derivative of -5*a + 1\/3*a**3 + 0 + 0*a**2. Give t(i(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and -31\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.733*-2095\nAnswer: 3630.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3699, 3915, 4133, 4353?\n\"Answer: q**2 + 213*q + 3485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -260, -900, -2152, -4220?\nAnswer: -7308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-5) - -1077211)\/((-39)\/(-13)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 1, b: 2, o: 1, s: 1}. Give prob of picking 1 o and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -7 + 1 - 9) + -1 + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -48*u - 36. Let i(z) = -19*z - 257. Let t be i(-14). Let h be s(t). Is h smaller than -468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4 - 12. Let k be (-1 - -2)*1\/(-1). Sort k, -3, s.\nAnswer: -3, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 22*m + 12. Let a be n(10). Let y = -3 - a. Solve 0 = 5*d - 3*s + 9, -3*s = -3*d - y*s + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 + -1048\/7. Let m*o**3 + 50\/7*o - 216\/7*o**2 - 128\/7*o**4 - 4\/7 = 0. Calculate o.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30 - 174\/(-45). Let a = -32 + w. Let o = 33 + a. Calculate the highest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 945 - 1882 + 943 + 28*f**2 - 7*f. Let d(m) = -4*m + 7*m**2 + 2*m + 2 + 2*m**2 + 0. Calculate -7*d(v) + 2*z(v).\nAnswer: -7*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (6*sqrt(168)\/sqrt(7))\/((sqrt(96) - (sqrt(96) - 1*sqrt(96)))\/sqrt(12)))**2.\nAnswer: 24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euujfuue. Give prob of picking 1 e and 1 u.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 c when four letters picked without replacement from {u: 5, r: 7, c: 2, b: 3}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**3 + 14*g**2 - 50. What is d(6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s**2 - s)*(-2 + 3 + 1) - 2*s**2 + s**2 + 0*s**2 + (-s + 0*s - s)*(3 - 3 - s) - 45*s**2 - 61 + 61.\nAnswer: -46*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k**2 + 90*k - 9*k**2 - 88*k to d + y*k + t*k**2 and give t.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 3*t**2 + 4*t + 4. Let i be r(-4). Let j be (6 - i)\/(4\/66). Suppose 3*z - 17 = -a, -4*a - 2*z = 3*z - j. Solve 0 = -a*h + 2 - 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -451, -5, 0 in increasing order.\nAnswer: -451, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.492 + -0.292. What is the closest to -1 in -1\/2, m, 13, 0.02?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**2 + 2*l. Let q(r) = -5*r - 5. Let s(h) = 308*h + 350. Let b(o) = -70*q(o) - s(o). Determine c(b(v)).\nAnswer: 29988*v**2 + 84*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 9. Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10201 + -10?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 3. Suppose 0 = -6*r + p*r + 12. Let l = 7 - r. Solve -2*n = n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*k**4 - 336*k**3 - 6354*k**2 + 429376070 wrt k?\nAnswer: 140*k**3 - 1008*k**2 - 12708*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074 + 2140 + 340 = -93*i + 206 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/2*f + 1\/2*f**3 + 5\/2 + 7\/2*f**2.\nAnswer: (f + 1)**2*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 26*i + 84. Let p be a(-7). Let c be (-5 - 2) + (12 - p). Let m(f) = -5*f - 3. Give m(c).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -3, 2, -6 in decreasing order.\nAnswer: 3, 2, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 8. Let c be u(11). Let r be ((-3)\/(-9))\/((-2)\/(-36)). Calculate the greatest common factor of c and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 12 = 5*b, 4*s - 232 = 3*b. Let h = s + 6. Suppose -4*l = -3*t + h, l = -4*t - 4*l + 102. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181.0282 + -0.2718. Let m = -3.36 - 156.64. Let f = x - m. What is f rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 56, -132, -322, -514?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 162, 299, 496, 765?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-128 - -134 - (-3 + (-3 - -1))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10436055469.4 + 0.0211\nAnswer: 10436055469.4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 28 + 8. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.6. Let d = -42\/25 + 701\/75. Let v = 8 - d. What is the smallest value in v, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let s be y(-3). Let o be (s\/(-2))\/((-2)\/(-4)). Suppose -o*r = -4*r + 5. What is the highest common factor of 45 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31773781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 181a153 (base 14) to base 2\nAnswer: 101101011000110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -567*g**2 - 1780831*g + 1780831*g - 2*g**3 + 1 to o + m*g**3 + n*g + y*g**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 101*v**3 + 2*v + 2. Give r(-1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-2)*(-16)\/20. Let j = -2 + x. Suppose 2*q + q - 2*a - 159 = 0, -2*q + j*a = -106. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a + 83*a - 19*a - 14*a - 14*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3\/7 - 8668*w**2\/7 + 5583360*w\/7 - 910540800\/7 = 0. What is w?\nAnswer: 247, 960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:51 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871897969 to the power of 1\/2, to the nearest integer?\nAnswer: 43265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*f + 15*f + 126520. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*u**3 + 1 + 32*u**3 + 0*u - 6 - u as x*u**3 + c*u**2 + g*u + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 285\/(-45))*(-41 + 29).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*u - 458 = -89, u + 2 = 0. What is the common denominator of (-21)\/168 + l\/(-120) and -23\/51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(1300))**2*-3 + (0 + sqrt(1300) + 0)*6.\nAnswer: -140400 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152870424*x**3 + 60502236*x wrt x?\nAnswer: 917222544*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -724052.\nAnswer: -1\/19054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*q - 50 = 0, -5*c + 7*c + q - 15 = 0. Solve -o = -5*o + 3*y + 20, -c*o - y + 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s + 5. What is c(-5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14725 + 14725 - 373*o)*(3*o - 2 - 2*o + o).\nAnswer: -746*o**2 + 746*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -3)\/(2 - 1). Suppose -3*a = 5*n, o = -2*n + 2 - 8. Suppose -y - 2*u + 6 = 2*u, -y - 5*u = -a. What is the greatest common divisor of y and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/59 - -169\/118. What is the closest to -2\/9 in 0, -0.3, k, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113323 (base 6) to base 15\nAnswer: 2db3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - z + 864. Let r be l(0). Suppose u - 2618 = 3*s - 3*u, -3*u - r = s. Round s to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 87935577100.\nAnswer: -87935577099.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 106124401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81333 is divided by 657.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(1 + sqrt(99))**2*4 + (sqrt(99)*1 + 2 - 5*(2 + sqrt(99)))**2)*-2.\nAnswer: 1344*sqrt(11) + 25504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 3. Let q be (-48)\/30 + r\/10. What is the second smallest value in -2\/13, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20283501.6*-0.1.\nAnswer: -2028350.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = -4*c + 632 + 170, -5*c = -5*h - 23 + 123 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6533.694um?\nAnswer: 6.533694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = -4*v. What is the lowest common multiple of (1\/1)\/(v\/(-28)) and 2*11\/4*2?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z**2 - z**2 - 4*z**2. Let c(b) = b**2. Suppose 0 = -5*a + 3*w + 1 + 1, -5*a + 5*w = 0. Calculate a*y(r) - 2*c(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, 51, 176, 411, 792, 1355?\n\"Answer: 6*j**3 + j**2 + 6*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 60696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*k - 4. Suppose -k*a + 14*a + 6 = 0. Let o(q) = 2*q + 7. What is the remainder when o(a) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**3 + 2*x + 1. Let r be h(-1). Let c(q) = -q**2 - 9*q - 9. Let m be c(r). Let l = m - -16. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -6*h**2 + 2*h**2 - 4*h**2 - 7*h + 4. Find the first derivative of s(r) wrt r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(8\/3)*y)*(y\/(y\/((y**(8\/7)*y)\/y*y)))\/y)\/(y**(-2\/11))**(5\/4) assuming y is positive.\nAnswer: y**(-1061\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/18*((-216)\/(-224))\/(-9). Put j, 2\/9, 0.029 in descending order.\nAnswer: 2\/9, j, 0.029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 45. Let u be i(-51). Suppose -2*g + u*n + 6 = 8*n, 3 = g - 5*n. Suppose 4*y + 3*v = -0*y + 4, -3*y = 3*v - 3. Solve -y + 4 = g*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 5. Suppose -5*c - g = -3*c. Let n(x) = 8*x + 1. Let p(d) = -7*d - 1. Determine c*p(k) - 6*n(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1647 + 126 = -352*c + 625 + 6654 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 7\/31, 141.9, -12 in decreasing order.\nAnswer: 141.9, 7\/31, -3\/2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6107 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = -3*b + 5*n, -5*b = 3*n - 52. Let m = 15 - b. Suppose -608 = -m*s + 212. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*5*sqrt(152) + sqrt(152))*5)\/(sqrt(72) + 1*(sqrt(72)*-4 - sqrt(72) - sqrt(72))).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245109*i + 622555*i + 622554*i + 30*i**3.\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 2\/11 (c) 6 (d) 1\/6 (e) -2\/565\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -58\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 23. Let p(u) = -11*u + 35. Let m(n) = 8*o(n) + 5*p(n). Let d be m(5). Let i = 8 + d. Solve -5*s + 0 = -4*a - 8, -i*s + 2*a = -10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*j - 954*j**2 - 247*j**2 - 12*j + 27*j - 1 as a*j**2 + s*j + m and give a.\nAnswer: -1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3190 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1212*h. Let v(g) = 2*g. Determine z(v(m)).\nAnswer: -2424*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2\/7 + 106290*d\/7 - 15184 = 0. What is d?\nAnswer: 1, 53144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.44514 + 0.04514. Which is the closest to 357? (a) u (b) -4 (c) 0.3 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50\/11 - 563\/44. Calculate the common denominator of 3\/9 + 118\/(-48) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 77)*(((-2561)\/4)\/13 - -5) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -30*m**2 + 33*m + 33. Let n(l) = -3*l - 271*l**2 + 272*l**2 - 1 - l + 4*l - l. Calculate -4*d(h) - 132*n(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247*(13275\/(-18))\/(-25) + 3\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -7. Let m be (5 - 0\/(-1)) + d. Suppose 3*o = 4*w - 46, 72 = 5*w + m*o + 3. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 24*c**2 - 5*c. Let w(y) = -57*y**2 + 12*y. What is 5*j(v) + 3*w(v)?\nAnswer: -51*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*h - 110 = -114*h + 56*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114270, 114304, 114406, 114618, 114982, 115540, 116334, 117406?\n\"Answer: 7*i**3 - 8*i**2 + 9*i + 114262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6188 + -6188. Let m(n) be the first derivative of 0*n**4 + 1\/6*n**6 + 3 + 0*n - 3*n**3 + 0*n**5 + u*n**2. Find the third derivative of m(v) wrt v.\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let f(n) be the first derivative of -7*n**2 - 5*n + 2. Is f(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1534916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*v + 19, 2*q = -2*q + 3*v + 17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112711824 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g - 33 = 0. Suppose a = -5*n - 0 + 5, -a = -3*n + g. Solve n*k - 5 = -13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k**2. Suppose -3*g = -6*g. Let h(n) be the second derivative of 0*n**3 + 1\/3*n**4 + 0*n**2 - n + g. Give -5*h(a) + 3*z(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002562347907 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2857978.47 - -1225231.552. Let x = u - 4083732.0220521. Let n = x - -522. What is n rounded to 6 dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 465520.\nAnswer: 2793120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*g + 5 = -3*z, -4*z - 8 = 4*g. Let q = 332\/5 - 66. Which is the third biggest value? (a) 2 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458863174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33649, 134613, 302871, 538411, 841221, 1211289?\nAnswer: 1648603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1350, 4971, 10250, 16569, 23310, 29855, 35586?\nAnswer: 39885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10457 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1162, 2, 40, 12 in increasing order.\nAnswer: -3, 2, 12, 40, 1162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 520*c - 422. Determine g(1).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 9:21 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 f when three letters picked without replacement from ccflclvclc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -595a2 (base 12) to base 2\nAnswer: -11101010100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/400 and -41\/550.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 27 = -0. Suppose 0 = -b + 4*b - 111. What is the remainder when b is divided by k\/(-9) - (-22 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 655.7 + -655.706691. Round s to 4 dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11202 - 11202. What is the second smallest value in z, -3.8, -8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*i = i - 17, 2*q - 2*i - 4 = 0. Let s = 7 - 12. What is the closest to -0.1 in -4, q, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + -1010?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10232 is divided by 2542?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/672 and -43\/133992?\nAnswer: 3751776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 9:32 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.1799189 take away 2?\nAnswer: -97.1799189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/3)\/(c**(-6\/11)*c) assuming c is positive.\nAnswer: c**(7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14954 is divided by 996?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1628 - -1147. Is s a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1430 - 1415. Let a = 389 + -314. Calculate the greatest common divisor of j and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584393?\nAnswer: 584393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122879 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 - 1. Let f be o(1). Suppose -w + 11 = -f*d, 22 + 22 = 4*w - d. Suppose -31*l + 169 = 45. What is the lowest common multiple of w and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7133 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -61*5\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/14)\/((4\/8)\/1). Suppose -d - 5 = 4*d. Which is the closest to -1\/4? (a) d (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:55 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24921 and 4160.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(6\/(-7)) + 3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/11)\/((-10)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 - 2*a**2 - a**2 + a - a + (-4*a + 3*a + 0*a)*(a - 2*a + 2*a) - a**2 + 0*a + 0*a)*(1 - 2 + a**3 + 3).\nAnswer: -5*a**5 - 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4693.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5\/2, -0.3, 3\/10, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 10:45 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -341, -339?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 4)*(0 + 6 + 37) + (0 + 4 + 0)*(-2 + 3 + 2))*(-6*a**3 + 4*a**3 + 4*a**3) + (3*a**2 + a**2 - 2*a**2)*(-3*a - a + a).\nAnswer: -68*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(22)\/sqrt(2))*-2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2883\/7688 - (-1 - 1510\/(-16)))\/(-3)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**3\/3 + 3*g**2 + 3*g. Let x be y(5). Put x, 1, 3 in decreasing order.\nAnswer: 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601805324 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149323*z**3 + 229071*z**3 - 79749*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 12:59 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*y**3 - 5*c**3*y**2 + 26*c**2*y**2 - 6146859*c*n*y**3 - 31400*c*n*y**2 wrt y?\nAnswer: -6*c**3 - 36881154*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/10)\/(11\/(-5)). Let q = -71 + 44. Let y = q + 30. Which is the third smallest value? (a) y (b) z (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-2\/7)*z)))\/((z**4*z)\/z))\/(z**1*z)**(-7)*(z**(2\/3)*z)**24\/((z*((z*z\/(z\/z**(1\/4))*z*z)\/z)\/z)\/z*z**2) assuming z is positive.\nAnswer: z**(1357\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20156 - 104?\nAnswer: 20052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/9 + 5\/(-30). Suppose 5*r = -5*q + 20, q = 5*r - 4 - 10. What is the nearest to q in -1\/5, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 + 329*x**2 - 329*x**2 - 636*x**3 - 2*x + 260.\nAnswer: -636*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3252 - -7943. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-11)\/(110\/48). Let f be (-16)\/(-88) + i\/11. Is (f\/(-5))\/((-8)\/(-9580)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 146.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 590942*q - 295576*q - 295369*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161242563617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1285*m**2 - 291 - m - 273*m**2 - 156*m**2 + 69*m**2 wrt m.\nAnswer: -3290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) -462 (d) -4\/7 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.1997 - -1.2. What is t rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1415709383*g**2 + 3*g**3 + 1415709383*g**2.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:41 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 6, -4, -89, 2\/65, 2\/5, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 + 3*z + 1. Let c be 0\/2 - 3\/1. Let o be p(c). Suppose 2*x = -4, -4*x - 42 = 3*g - 184. What is the greatest common divisor of o and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4826?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86945.25s to nanoseconds.\nAnswer: 86945250000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/2254 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131052024 or -131052025?\nAnswer: -131052024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 157975 divided by -445?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - -1*sqrt(77)) - (1*(sqrt(77) + -2*sqrt(77) + sqrt(77)) + sqrt(77)))\/(4*sqrt(7)*2 + (sqrt(56) + sqrt(56)*-2)\/sqrt(8)).\nAnswer: -13*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 125.03388?\nAnswer: -125.03388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6*-2)\/((-4)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*s**3 - 3*s**2 - 97*s + 15896 wrt s?\nAnswer: 18*s**2 - 6*s - 97","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3250.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (7 - 2) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*s + 10*s**2 - 21*s - 9*s**2 + (-s - 3*s + 5*s)*(2*s - 2 + 2) to x*s + r + p*s**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + v - 12, -3*b - 4*v - 2 - 2 = 0. Let z be (1778\/8)\/(b\/16). Suppose 0 = -13*x + 6*x + z. List the prime factors of x.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24495 divided by 15.\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/((-3)\/(-18))*(-11)\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-74)\/(-14) + 6\/(-21) - 2. Suppose -4*r + x + 0*x = -45407, 3*r - v*x - 34062 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v = -39*v + 149000. Round v to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 3 + 0*z - 3\/2*z**2. Let m(u) = 2*u**2. Determine m(a(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (1 - (-41 + 20))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 725 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6)*(-3)\/(45\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.038?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -4. Let y be 4 + 4 + -7 - -1. Suppose -4*q - z = -52, y*q + 3*z = 36 - h. Solve -4*w = -q + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 7*x + 22 = -p, -5*p + x = 14. Which is bigger: -105\/53 or p?\nAnswer: -105\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*s - 3*o - 30 = 217*s, 11*s = o + 50 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdd when three letters picked without replacement from mxmdxdyxwmmddmxy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 980779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41087*f**2 - 2260*f wrt f.\nAnswer: -82174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -5, 1\/15, -0.1?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -209829, -53 in decreasing order.\nAnswer: 4, -53, -209829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 35. Let b = 36 + u. Calculate the lowest common multiple of (-3)\/((-6)\/8 + 0) and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 3376\/71, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 + f**2 + 99921*f**3 - 416943*f**3 + 0*f**2.\nAnswer: -317022*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41716 + 203?\nAnswer: -41513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*n - 287*n = -2536. Round n to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 4. Calculate r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1360 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffj when three letters picked without replacement from ojhjhhfbjhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than -127144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11763 - 11763 - 52*u.\nAnswer: -52*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - j. Let c(o) = o**3 - 4*o**2 - 4*o. Let z(a) = a**3 - 9*a**2 + a + 16. Let g be z(9). Suppose -24 = g*f - 31*f. Calculate f*s(y) - c(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -558760*p**2*r + 44032*p**2 + p + 2*r**2 wrt r.\nAnswer: -558760*p**2 + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78.8 or 7344?\nAnswer: 78.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12720830 and 340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.219 - 0.329. Put -0.5, 1, r in descending order.\nAnswer: 1, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3224*m**3 - 3245*m**3 - 3255*m**3 + 9723*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + -4 - (1 + 0). Suppose -5*v - 25 = -5*m, -p*m + 9 + 4 = -2*v. Suppose -q + 26 = m. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (480\/50 - 8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k - 53 + 88. Let u be 38\/190 + -1 + 29\/k. Solve -3*v = -u*i - 8 - 4, 4*v + 19 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0*p**2 - 18*p + 34*p - 19*p + 3 + p**3 - 2*p**2. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140960 by 35240.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27696 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*a + 215 = -85. Let g be (1 - (-1)\/1)*216. What is the greatest common factor of a and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30537*l**2 - 11822*l wrt l?\nAnswer: -61074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*f + 1263 = -258*f. Let g = f + -376. Solve g = 3*x + 6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5\/5 - 22*c**4\/5.\nAnswer: -2*c**4*(c + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/5)*w)\/(w\/w**(-6)) assuming w is positive.\nAnswer: w**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 3 (b) 36 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 6 = -2*d + 2*l, -d + 2*l = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1060269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(sqrt(704) + -2 - sqrt(704))**2 + 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3985 + 4035. Solve -4*p + r - 26 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxcbmmcbcxm. Give prob of picking 1 c, 1 x, and 1 m.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -855 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t - t**2 - 1\/60*t**5 + 0 + 0*t**4 + 11\/6*t**3. Calculate the remainder when 43 is divided by r(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from rkdkghhhrrhkdgdyr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 times 0.1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-30)*943 + 5*(-4)\/(-150). Solve 0 = -56*p + f*p - 42 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100000 - 0?\nAnswer: -1000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 586 + -2?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtj when four letters picked without replacement from tjjjtt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173 - -862\/5. Let t = -0.27 + 0.67. What is the nearest to -2\/5 in t, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 2*u - 1, -m + 4*u - 13 = 0. Suppose 17 - 2 = m*f. Let q be (f + 45)\/((-1)\/188). What is q rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 8*b**2 - b. Let q be m(1). Suppose d - 3 = q. Calculate the smallest common multiple of d and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/7)*u**(-7)\/u)\/(u**0*u\/u**(2\/11)))**(2\/17) assuming u is positive.\nAnswer: u**(-1248\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 w, and 1 z when four letters picked without replacement from {z: 5, f: 5, w: 8}?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 116222983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -120611.655 to the nearest 10.\nAnswer: -120610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 19. Calculate n(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 829818.4 millennia?\nAnswer: 82981840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d - 8. Let t be v(-2). Suppose -t*w = -18 - 146. Let u = w - 34. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Suppose 5*y = 3*y + 2*v - 10, -5*v + 20 = 0. What are the prime factors of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47487677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**3 - 6 + 6 - n - 2*n**3 + n + (0*n + 0*n - 14*n)*(0*n**2 + 3*n**2 - n**2) in the form j + b*n + r*n**3 + g*n**2 and give r.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 58766.1 minutes?\nAnswer: 3525966000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:58 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/240 - z**4\/48 - z**3\/24 - 40*z**2. Factor p(c).\nAnswer: -(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.65 (b) 1 (c) -0.5 (d) -1\/13 (e) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 3*z**2 - 13*z + 91. Let l(m) = 3*m**3 - 5*m**2 + 22*m - 181. Let n(i) = -5*d(i) - 3*l(i). Calculate n(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 5948 = 9*k - 4*w, 4*w = -k + 1996. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 807148.3ng?\nAnswer: 807.1483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/4 of a century?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/11))**(-32)*v\/(v\/(v*v\/(v\/(v\/(v\/(v*((v**(-29)\/v)\/v*v)\/v*v*v))))*v*v))*v**(-44) assuming v is positive.\nAnswer: v**(-1015\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-630)\/161 - (2 - 6). Suppose 3*u = -2*u - 5. Is d greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9745 - 4?\nAnswer: -9749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-174)\/(-63))\/((-4182)\/1071 + 4).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 119\/11 (c) 1812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (49 + (-15)\/5)\/2. Suppose -15*x = -z*x + 288. Calculate the remainder when x is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17693483 to 3 decimal places.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 8*j**2 + 9*j - 3. What is p(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, 95, 425, 1063, 2111, 3671, 5845?\nAnswer: 8735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81610538 to the nearest integer?\nAnswer: 9034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115034609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190286 is divided by 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 5. Let z be (-6 + 2 - i)*11. Is 6 a factor of (-2)\/z - 388\/(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 138*z + 3675. What is y(102)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 8*m**2 + 15*m - 14. Let r be f(6). Solve 10 = 4*w + 3*o, 5*w - r*w = -3*o + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.0751, -2, 3?\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 32. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/2)*-4*(-306)\/136?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2)*0)\/(-1). Is (-1 - g)*(2 + -21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 24.8. Let o = -11 - c. Let j = -0.776 - o. What is j rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 278. Let m = x - 94. Suppose 2*k = k + 5*g, 4*k = 5*g + m. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**14))**(17\/2) assuming s is positive.\nAnswer: s**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 33*u = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 41, -1, 0 in decreasing order.\nAnswer: 41, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2583 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1502 (base 8) to base 9\nAnswer: -1126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*sqrt(11) + (sqrt(132) - (sqrt(132) + sqrt(132) + 1*sqrt(132)))\/sqrt(12).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 + 7*p - 1. Let k = 346 + -348. Let s(t) = -9*t**2 - 21*t + 4. Calculate k*s(h) - 7*f(h).\nAnswer: -3*h**2 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z. Let o(p) = -5*p**2 - 10864*p + 1. What is i(o(h))?\nAnswer: -80*h**2 - 173824*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 13. What is b(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/5)\/((-5)\/75). Let m = j + -20. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1352, -5147, -11032, -18647, -27632?\n\"Answer: 60*f**3 - 1405*f**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27 + -13?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, v: 4}. Give prob of picking 1 c and 1 v.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + sqrt(2))**2 - (sqrt(20)\/(sqrt(10)*2))**2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 2 - 8*k as o + q*k and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -409.1 - -520. Let q = z - 126. Let v = 15 + q. Which is the closest to -1? (a) -0.4 (b) 2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 11:37 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dc6 (base 15) in base 3?\nAnswer: 22220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 1282*m**4 + 303598*m**3 + 32226998*m**2 + 1446960480*m + 17778562200 = 0 for m.\nAnswer: -206, -105, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5811, -12451, -19091, -25731?\n\"Answer: -6640*v + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/28)\/((-2)\/(-16)*6)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 32 + 326. Let r = -34 + t. Solve -r = 3*c - 0*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 9. Solve -5 - 4 = c - t, 3*c = 5*t - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.849 + -55476226\nAnswer: -55476217.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzzx when four letters picked without replacement from xxzzxxxxxxzxxz?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l**5 - 170*l**4 + 1570*l**3 - 4750*l**2 + 440*l + 2904 = 0 for l.\nAnswer: -2\/3, 1, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 26 = 2*c. Let b be c\/7*(0 - 7). Solve 19 = -d - 0*x + 4*x, 2*d + b = 4*x for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -104. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202011 + 100022112200?\nAnswer: 100021210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 + 6. Determine c(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51515995?\nAnswer: 5, 47, 219217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/7, -3\/5, 0.2, -3.\nAnswer: -5, -3, -3\/5, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013153 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.86559ml to litres.\nAnswer: 0.08986559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -20 + 12 + 11 + 43257?\nAnswer: 2, 3, 5, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 2) + (-22)\/(-14). Let q = 3 - 2. What is the nearest to q in z, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i + 43. Let h be ((-22)\/(-2))\/(-1) - (26 - 28). Let a be 33\/h - ((-60)\/(-18) + -3). Let g be u(a). Solve -5*c = 2 - g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1811 - (-3 - 1*5\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 3*a**2 - 5. Let i(b) = -2*b**3 - 8*b**2 - 14. Let p be 2 + -11 + -1 + 7. Calculate p*i(w) + 8*d(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246590 divided by -5?\nAnswer: -49318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 20*k + 21*k - 1303, 5*r - 1306 = -2*k. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 0 - (12 - (9 + -4)). Let i be (-8)\/12 - 1788\/b. Let l = 284 - i. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2282, -13323, -24364, -35405?\n\"Answer: -11041*w + 8759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 5:19 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112213297?\nAnswer: 7, 19, 23, 36683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1\/3*3). Suppose -5*p + 160 = -x*p. What is the common denominator of (16\/40)\/(p\/290) and 37\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/21 + (-187)\/1309?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 38 = 3*u, -k + 4*u = -4849 + 4901 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o**2 - 145*o + 81. List the prime factors of m(37).\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111010001011 - 11001011101010?\nAnswer: -1000000101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1104943 + 10074943 = 0. What is o rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2253 - 2253. Suppose -4*w - 2*r + 21 = -9, 5*w - 40 = -3*r. Suppose j = -s - 3*s - 4, -b - w*s + 62 = 0. List the prime factors of b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*l - 17 = 2, -7 = -4*s - l. Suppose 0 = 2*u - 6*u. Suppose 3*a + 5*t - 10 = 0, a - 2 = -u*t - t. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27610\/9 - 198166\/63. Let i = -77 - j. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -62*d - 1 + 21*d + 42*d. Let o(f) = 3*f + 3. Let k(g) = 8*g + 9. Suppose h - 8 + 25 = 0. Let m(a) = h*o(a) + 6*k(a). What is -5*j(p) - 2*m(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let x be m(-8). Suppose f = 3*n - 7*n + 10, n + 2 = 2*f. Solve -u + 4*p = -f*u + 17, x = 5*u - 3*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d - 4*m = -104, 0 = -5*d - 5*m + 285. Is 35 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbbbnfp. Give prob of picking 1 b and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31389898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 66474, 132970, 199454, 265920, 332362?\n\"Answer: -y**3 + 66503*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 188.2 - -55983\nAnswer: 56171.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 11401?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2112238, 8448862, 19009874, 33795274, 52805062?\nAnswer: 76039238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 - 360*q - 712. Let m be s(-2). Solve -118*o + 125*o + 21 = m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiixiiiiiiiiixix. What is prob of sequence xxii?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8910?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-7)*(187 + 5\/(-1)). Let l = g - 33. List the prime factors of l.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 0, 0 = -5*k - 3*n + 6497 - 1679. Let p be (-4)\/(-10) + k\/(-45). Let z = 21 + p. Solve -m - 3*w - 2 = -w, -4*m - 2*w + 10 = z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + b8?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -1 (c) -0.5 (d) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 4, -3, 3 in decreasing order.\nAnswer: 4, 3, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2250)\/180)\/((-5)\/8). Solve -t + 4*o - 17 = 0, 3*t + 10 = 5*o - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 32 + 139 = 0. Calculate the remainder when 2582 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 - n. Let u be (5 + 1)*1\/3. Let c be (-1)\/((-1)\/u) + 1. What are the prime factors of b(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347 or -3\/4?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/4 + 147*s**2\/4 - 851*s\/4 + 705\/4 = 0.\nAnswer: 1, 5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g**2 - 10*g - 31. Is n(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 9:10 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.05. Let g = d + 0.38. Let q = -6.3077 - -6.4077. Which is the closest to g? (a) q (b) 3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111001111011 (base 2) to base 4\nAnswer: 321323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3408577 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 550 + 236. Let k = 831 - l. Calculate the highest common factor of 375 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one eighths of a hour?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18026116 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: Total of -6201 and -1.2.\nAnswer: -6202.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 21. Suppose 5*d - 3*h + 10 = h, 0 = 4*d - a*h + 7. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1528488.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 7*n**2 + 13*n - 29. Calculate z(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4536\/810*10\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 25*l**3 + l**2 - l + 1. What is i(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*t + t - 980, -4*i - 792 = -2*t. Let v = -128 - i. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*k = 4 - 0, 3*k + 16 = n. Suppose n*r = 6*r - 4. Solve -8 + 4 = -r*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 12*g + 832.\nAnswer: -4*(g - 16)*(g + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-3\/14))**13 assuming w is positive.\nAnswer: w**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 3 - 40 + 5 + 2 + 13.\nAnswer: 14*o - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340 divided by -36?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 142270*w.\nAnswer: -142270*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169707, 339412, 509117, 678822, 848527, 1018232?\nAnswer: 1187937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6970*b**3 - 6*b**2 + 6*b - 6. Let l(p) = 6972*p**3 - 5*p**2 + 5*p - 5. What is -5*i(y) + 6*l(y)?\nAnswer: 6982*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26, -25, -24, -23, -22?\n\"Answer: x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-212 - -228) + 1 + 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 3:25 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(-50))\/(15\/(-20))*5. Let 2\/3*u**3 - 2\/3*u + 2\/3*u**4 + 0 - z*u**2 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.0742 - 17.1. Let w = -27.9258 - v. Let q = 15.8 + w. What is q rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 103453045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*q - 344 = 39 + 605 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 8, -22*y + 21*y + 2*r = 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/234 and 151\/13453758?\nAnswer: 174898854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 8. Let b = n + 30. Put b, 0.5, 2 in decreasing order.\nAnswer: b, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16*(-44)\/(-66)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653408461 to the power of 1\/2, to the nearest integer?\nAnswer: 51511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6.5. Let m = 0.01 + -0.11. What is the nearest to m in 1, u, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v + 51. Let z be c(-8). Let g(f) = 2 - 2*f**3 + f - 5 + 3*f**3 + 2*f**2 - 5*f**2. Give g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db41 (base 14) to base 6.\nAnswer: 451221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-14) - (-1 + 45\/35). What is the fourth biggest value in -6, q, 0.4, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 99 in -1.6, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 12 = -33. Let g = i + 6. Let k be ((-1)\/g)\/(83\/6). Is 1 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:27 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**2 + z. Let i(n) = -922*n**2 - 5*n - 782. Let r(a) = -2*i(a) - 10*k(a). What is the derivative of r(u) wrt u?\nAnswer: 3808*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376345488 to the power of 1\/2, to the nearest integer?\nAnswer: 19400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 151, 143, 133, 121?\n\"Answer: -q**2 - 5*q + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20938.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171326766?\nAnswer: 2, 3, 13, 73, 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*r - 765 = -25*r + 15*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 82820.65 + 4\nAnswer: 82824.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 7*w**2 + 2*w - 3. Suppose -3*n = -4*y + 2*y - 23, 5*n = -2*y + 1. Determine h(y).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357\/13 or -0.41?\nAnswer: 357\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11455, 11450, 11435, 11404, 11351, 11270, 11155, 11000?\nAnswer: 10799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3.5226096\nAnswer: 4.5226096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - 4*a)*(-6 - 11 + 9 - a).\nAnswer: 2*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2295*a + 30 - 386*a**2 - 2295*a wrt a.\nAnswer: -772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/25*(11 - 26). Solve a*m + 107 = 92 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 712 and 16.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 8*m**2 + 17*m + 35. Let z be w(-6). Let c be 8\/(-32)*2*-92. Solve -z*j = 21 - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(1 - -35). Let t = i - 19. Which is bigger: t or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 15. Is -14 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 1, -0.002, 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121)\/((-68607)\/(-12))*18\/(-8).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214971417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -271.97 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*t + 122 = -1006 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021 + 1021102110?\nAnswer: 1021120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2*k + 2*k - 3)*(-k**3 + 0*k**3 + 0*k**3).\nAnswer: k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a minute?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 4 + 2*l**2 - 3*l**2 + 3*l**2. Let q be (-3 + 5)\/(2\/(-3)). Let j(g) = 2*g**2 + 3*g - 5. What is q*v(d) + 2*j(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - u - 10, 3*s = -51*u + 49*u + 19 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.628797 years in millennia?\nAnswer: 0.000628797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 51 = -4*x. Let z = 31 - x. What is the smallest common multiple of z and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 155\/248*18\/30. Suppose 5*p - 2 - 13 = -2*y, -4*y = -4*p - 16. Which is the nearest to 1? (a) m (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, z: 1, d: 2, b: 1}. What is prob of sequence rc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -0.1?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 1:13 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 456915?\nAnswer: 6853725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/7*-1*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and -180.\nAnswer: -179.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-765)\/(-18)*(-3*(-7)\/(-3) + 9). Solve z*u = -5*n + 81*u + 26, 0 = 3*n - 3*u + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 + 0 = 0. Solve -4*r - 4*f = 20, 0 = -f - 1 - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 (base 11) in base 10?\nAnswer: 1942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720667.\nAnswer: 761, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.05 or -1\/37?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 < 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -172 - -43574b?\nAnswer: 435599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = 8*s - 51 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-272))\/(1\/(132\/(-55)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/586 - -10127\/8790. Calculate the common denominator of m and 60\/91.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 6*s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 100 = -5*q, -5*w + 2083*q - 19 = 2085*q for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11906*a - 761975. Give x(64).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(704) + -5))**2.\nAnswer: -2400*sqrt(11) + 18500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 3)*-6 - 1. Let a = -115 - -116. Let r = a - d. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/13)*p*p**(2\/5)\/p)\/((((p\/p**(-2\/11))\/p)\/p*p)\/p*p*p\/(p*p**5)) assuming p is positive.\nAnswer: p**(3621\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 0.08, 11.\nAnswer: -47, -3, 0.08, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111069.428 rounded to the nearest ten?\nAnswer: 111070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a5c9350 - -1?\nAnswer: -1a5c934e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*a + 17*a - 3*a**2 + 6*a**2 + 13*a to z*a + s*a**2 + t and give z.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(8\/6)\/2)\/22.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 4. Find the second derivative of 0*u**4 + s*u - 8*u**4 + 5*u - 7*u**4 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (2 + 15\/(-10)). Which is bigger: 42\/11 or o?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76, -251, -716, -1615, -3092, -5291, -8356?\n\"Answer: -24*l**3 - l**2 - 4*l - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 24 = -9. Suppose 2*n - 3*k = -g*n + 6, 0 = 4*n + k + 2. Suppose -2*j + 68 + 70 = n. Is j a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 + -15 - -2) + -11 - 163?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 12\/327881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p + 5. Let g be j(5). Suppose -k = k - g. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*3*19\/(-57). Let a(n) = -171*n**2 - 10*n - 30. Let b(y) = 86*y**2 + 5*y + 14. Let g(d) = i*a(d) - 7*b(d). What is the second derivative of g(r) wrt r?\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, n: 9}. What is prob of sequence kkn?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 2 + 13 - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. Suppose 3*i - l*r + 8 = -r, -2*i - 2*r = 0. Is (18 + 1)\/(i\/(-7)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 10*s**2 + 11*s + 9. Let i = 10 + -19. Let n be w(i). What is the remainder when 3 is divided by (-4)\/6 + (-24)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.65 or 0.881?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 6. Let p be m(-3). Let l = p + 3. Solve 5*g + 3*y - 5 + 0 = l, -y - 5 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*t - 93*t + 115*t + 32*t - 1185 with respect to t.\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)*(z**(-1\/2)\/z)\/z*z**1\/z**(-4\/3) assuming z is positive.\nAnswer: z**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 + 0.5. Let p = 43.6 - 42. Let r = p + s. Round r to 1 dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 40. Suppose s - 5 = c, -3*u + 4*s + 6 - 20 = 0. Let l be (3\/9 + u)\/((-5)\/45). Is -1 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 474652, 474798, 474944?\nAnswer: 475090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 2:45 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from gtgjtag?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 85076*u - 425330.\nAnswer: -2*(u - 42533)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-63) - (-60112)\/28 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7321.37 + -7289. Let w = o - -0.63. Let n = -32.9999886 + w. Round n to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9124205 or -9124198?\nAnswer: -9124205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001579 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-114)*(0 + -78)\/(-13). Let y = -0.24 + -11.76. Let o = 8 + y. Which is the closest to 1\/2? (a) 4\/9 (b) v (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 15*t**7\/14 - 43*t**6\/6 + 71*t**5\/4 - 75*t**4\/4 + 10*t**3\/3 + 10*t**2 + 46*t - 2. Factor v(f).\nAnswer: 5*(f - 2)*(f - 1)**3*(9*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65\/6 - 224\/15. Calculate the common denominator of 233\/24 + 4\/6 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 10. Suppose -4*v = -5*s + 7, 2 = 5*v - 4*s + 4. Suppose -3*r = j - m, 3*j + 4*r + 1 - v = 0. Which is the closest to 2\/3? (a) 5 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2 - 17*z - 1. Let u(f) = 14*f**2 + 16*f - 1. Let m(i) = 3*u(i) + 4*x(i). Let j(k) = -3*k - 23. Let d be j(-11). What is m(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, q: 2, u: 1, x: 1}. What is prob of picking 1 x and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*h - 4*o + 54579992 = 156*h, 2*h - 3*o + 21831994 = 0. What is h rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let b(d) = 36*d - 59525. Calculate z(b(f)).\nAnswer: 72*f - 119050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 5044727.\nAnswer: 4\/5044727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 50*z**4 - 221548 + 3*z**3 - 2*z**2 - z**2 + 221538 in the form c*z**3 + r*z**2 + t*z + j + d*z**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*y**4 + 0 - 8\/5*y - 2*y**3 + 16\/5*y**2.\nAnswer: 2*y*(y - 2)**2*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 808004*w**2 + 40804808000*w - 40804000000.\nAnswer: 4*(w - 101000)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14454 - -21315. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/64)\/((-50)\/(-16)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lqou when four letters picked without replacement from qquqluovluqllqluu?\nAnswer: 25\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1437 + 2878. What is the highest common divisor of a and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3836520 and 3015.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -142198 and -2818846.\nAnswer: -2961044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 316237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 289 - 153. Does 17 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 226, -1, 7 in increasing order.\nAnswer: -7, -1, 4, 7, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/8 - (66 + (-2500)\/40)) + 2\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*b + i, -2*b - 1 = -4*i - 3. Solve 0*l = -l - 4*j - b, -5*j = -2*l + 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**3 + 3*f**3 - 109*f**2 - 16*f**3 + 2*f**2 to o*f + r*f**2 + t + l*f**3 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30840771*w**2 - w - 20466001 wrt w.\nAnswer: 61681542*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2238 + 0 = 2*i - 4*n, 0 = i - 3*n - 1120. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -610487 bigger than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2879 bigger than -2880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-2070) + (2223\/23)\/19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 - -17?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1701, 1702, 1705, 1710, 1717?\nAnswer: 1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128 - (89 - 120)) + -20.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79.134 - -79.042858. Round i to 3 decimal places.\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 6*f - f)*(6*f + 10*f + f).\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from -46.7.\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81.1, -5, -1\/4.\nAnswer: -81.1, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27abc0d (base 14) to base 3.\nAnswer: -1100012112001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence too when three letters picked without replacement from ootoootoooooo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 45 - 15 = 0. Suppose -x + 16 = n. Suppose -3*d - 2 = -5*d + 4*y, -5*y = -x. Solve d*s - 14 = 4*c + 7, 7 = -3*c + 2*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -100*q. Let x(s) = -6*s**2 - 2794*s + 2794*s. Give f(x(a)).\nAnswer: 600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -571*m**5\/60 - 22*m**2 + 177*m. Let o(l) = l. Determine s(o(v)).\nAnswer: -571*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24065.799992 + -24066. Let q = -0.1 + -0.1. Let i = q - x. What is i rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 19. Let p = -3 + j. Let y = -7.3 + p. Which is the third smallest value? (a) -1 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.931 (b) -26 (c) 1\/1623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 374, 959, 1778, 2831, 4118, 5639?\n\"Answer: 117*q**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(64)*5 + sqrt(64)*1*-5)\/((sqrt(128)*-2 - sqrt(128)) + sqrt(2) + sqrt(4)\/(sqrt(2) - sqrt(8))) + 1.\nAnswer: 1 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*j**2 + 1904*j**3 + j - 2010*j**3 - j.\nAnswer: -106*j**3 + 39*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083222 rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 1. Suppose 2*d = 3*b - 3, -7 = 3*d - 5*b + b. Let m be -3*(d\/(-3) - 2). Let u(w) = 11*w - 3. What is m*u(y) + 8*q(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from hfrxomx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*a**2 - 82*a**2 - 14*a + 33*a**3 - 16*a**3 - 18*a**3.\nAnswer: -a**3 - 148*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399558 is divided by 133178.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-30))\/(14\/10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 376 and 16896?\nAnswer: 794112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13845330.\nAnswer: 2, 3, 5, 17093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7903 divided by -47363?\nAnswer: -7903\/47363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2740579 divided by -19?\nAnswer: 144241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (994\/(-4920))\/((-16)\/1240). Let m = 3\/328 + l. Find the common denominator of -9\/11 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) - 149\/(-42) - 4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o + 4. Let j be (56\/16*1 + -5)*(-2 - -4). Let a(q) = -q**3 - 9*q - 3. Give j*c(l) - 4*a(l).\nAnswer: 4*l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 3, 5, 0 in descending order.\nAnswer: 7, 5, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -226.\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65033.\nAnswer: 65033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*32\/12 - 1\/(-3). Let q be (7 - 4)*4\/o. Put 1\/8, q, -0.1 in ascending order.\nAnswer: q, -0.1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(1\/2). Let x be -23*(-3)\/(-6)*-4. Does 16 divide x - ((-2 - i) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81823701103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2576124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1ca170 (base 15) to base 11\nAnswer: -877616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**4\/4 + 19*u**3\/4 + 25*u**2 + 51*u + 36 = 0.\nAnswer: -12, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + b = 39, 0 = 12*o - 7*o - 124*b + 122*b - 39 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/4 + (-1)\/4. Let u = -3.3 - -2.3. What is the smallest value in -2\/5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 1766 - 884 - 884.\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p + 57. Calculate the remainder when 66 is divided by r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a**3 - a**2 - 25*a - 18. Let u(b) = 3*b**3 - 12*b - 9. Let s(x) = 3*i(x) - 5*u(x). Factor s(f).\nAnswer: 3*(f - 3)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1299, 11651, 39737, 94425, 184583?\n\"Answer: 1478*o**3 - o**2 + 9*o - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -9*n + 28. Sort -25, n, -3, -4.\nAnswer: -25, -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 + 3*x - 5. Suppose -3*g + 15*g = -84. What is h(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31309335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, 0.36, -2.13, 1\/3 in decreasing order.\nAnswer: 8, 3, 0.36, 1\/3, -2.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 802*s**2 - 1420*s**2 + 6*s - 11 + 671*s**2. Let k(p) = -27*p**2 - 3*p + 6. Calculate 6*d(y) + 11*k(y).\nAnswer: 21*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - (-5 + 9393)*-2. Determine g so that -8*g**3 - 18754*g**2 + x*g**2 + 48 + 36*g - 4*g**4 + 44*g = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5045 and 107\/426.\nAnswer: 2149170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13235 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6*-1*-6. Suppose c*v + 0*v - 38 = 0. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 - (2 + (-174)\/108).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w + 7. Let o(q) = -q. Let u(s) = -m(s) - 6*o(s). Let z be u(-5). Find the common denominator of -9\/10 and 111\/(-6)*z\/(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22776*k + 22743*k + 495 = 0 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -3*f - 19, 0 = -3*p - 5*f - 14. Suppose -2 = -6*m - 20. Let w be (1 + m)\/((-2)\/3). Sort p, 4, w in decreasing order.\nAnswer: 4, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-11)*m*m))\/(m*m**(3\/7))*(m**3)**44)**38 assuming m is positive.\nAnswer: m**(37126\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -192113*i**2. Let q(t) = 29*t**2. Give q(h(n)).\nAnswer: 1070314738301*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v - 1020 = -2319 + 1004. Suppose 5*c = 2*i + 49, 2*i + 3 = -1. Sort v, 2, 6, c in decreasing order.\nAnswer: c, 6, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 2*y + 3*h + 4 = 0, 0 = -3*y - 4*h + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + -0.5. Which is the second smallest value? (a) h (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from ogg.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 46. Let z = q - 19. What is the remainder when 66 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.013166 from -0.4.\nAnswer: -0.413166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 + 7*y**2\/2 - 5*y - 1. Let h be u(5). Which is the second biggest value? (a) 4 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 1. Let y(k) = -7*k**2 - 13. Let u(a) = -6*j(a) - y(a). Let d be u(-14). What are the prime factors of (-2)\/((-8)\/d) - 2\/(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 0 + 0*j + 31\/24*j**4 - 3\/2*j**3 - 8*j**2. Find the first derivative of r(k) wrt k.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 6, c: 1, o: 8}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, -593, 49, 48, 5 in decreasing order.\nAnswer: 49, 48, 8, 5, 1, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 4*t + 3. Suppose 3*n - 18 = -3*i, 0*n = -n - 2*i + 10. Let k be h(n). What is the remainder when 44 is divided by (-30)\/9*k\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(231\/(-12))\/7. Suppose m - 32 = -w. What is the remainder when m is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 12. Let r be k(17). Let f be (-3)\/5*(r - -10) - -23. Solve -5*q = -0*q + f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -45 - (39 + 12 + -54)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78.12 + 80. Let t = 0.12 + v. Let o = 39 + -469\/12. Which is the nearest to 1\/4? (a) o (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 11*u + 1608783 = 23*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*y = 148*y + 42 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 10*t + 6. Let z be f(-11). Let d be z\/60*-1*-3. Sort d, 1, -4.\nAnswer: -4, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11331062313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/405 and 38\/304155.\nAnswer: 304155","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 29. Suppose 0 = l + 4*l + 3*k, l = -j*k. Suppose 0 = 2*p - 5*g - 25, g = -3*p - l*g + 12. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(-9)\/b))**34\/(b**(-4\/19)*b*b**(-2\/9)))**(-31) assuming b is positive.\nAnswer: b**(-2159801\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**5 + 2715157*m**2 - 21480621*m wrt m.\nAnswer: -20*m**3 + 5430314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 21*x**2 + 10. Let n be a(-21). What is the greatest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*1\/45*10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-1 - 2 + 2) - 2 + 3 + 0 - 16 + 54 + 82)*(-6*t - 3*t**2 + 6*t).\nAnswer: -366*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 - 178 - u)*(-10 + 10 + 6*u) + (-2*u + 2 - 2)*(-u + 6*u - 3*u) + (0 - 5 + 4)*(0 - 2*u + 0)*(-u + u + u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12870044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1 + b**2 - b + 2*b + 0*b - 2*b. Let g(y) = -6*y**2 + 5*y + 5. Let n(z) = g(z) + 5*j(z). Let x(r) = -r**2 + r**2 + 2*r**2. Give x(n(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4 - 29342*j**3 + 78048*j**2?\nAnswer: -24*j - 176052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2? (a) -2\/7 (b) 236 (c) 16 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8 + 0*a**2 + 20*a + 14*a**2 - 14*a - a**3 + 10*a. Let n be x(15). Let h = 69 + -13. Calculate the greatest common divisor of n and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*((sqrt(24)*3)\/sqrt(8) + sqrt(3) - sqrt(3)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59513531\/10 + 5942953. Let b = q - -8410. Calculate the common denominator of b and 31\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/2, 0, -2\/7, 0.03, 0.87?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 16, 22, 30, 40, 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 12*v**2 - 5*v + 2. Give z(11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 28 = -7175*g + 7179*g, -2*g - 29 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + f - 5699 + 5683, -2 = 2*d + 3*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -3, 207?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548 and 778.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -47 + (39 - 38)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 0 + a**3 + 1\/2*a**2 + 8*a + 1\/12*a**4. Give h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100110110 - -100000011101011100?\nAnswer: 100001001010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25700912 and 25700912?\nAnswer: 25700912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 - o - 13. Let h(x) = -x**3 + x**2 - 42*x - 6523. Let z(f) = -h(f) - 2*y(f). What is the first derivative of z(d) wrt d?\nAnswer: 9*d**2 + 6*d + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 460, 493, 544, 619, 724, 865, 1048?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i - 4*i)*(1 + 0 + 0) - 2*i - 2*i + 5*i + 0 + 0 + 2*i - 2 - i + 3 + 0 + (7*i - 5 + 5)*(-31 + 31 + 61) to the form u*i + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -9.03. Let k = 6 + 2. Let u = k - q. Is -0.1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 4. Let z be d(-3). Factor z - y - y**2 + 0*y + 2*y + 0.\nAnswer: -(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:18 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*r = -0*h + 9, -5*h - 3 = -r. Suppose h = -20*t + t + 323. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/36 + (-11)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 41. Let g be a(-19). What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -111992 + 0?\nAnswer: -111992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.6, 6, -1\/10, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 4 = -i. Let q(j) = j**3 + 12*j**2 + 10*j - 13. Let a be q(i). What is the closest to 1 in -0.1, a, 37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - v + 38 = 5 + 19, 26 = -a - 5*v for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 41. Suppose -p = -5*m + 2*t, -3*t + 6 = m + t. What is the remainder when 2\/(-8) - (-966)\/24 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 11:47 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.95 + 12. Let q = i - -0.45. Which is the closest to 0? (a) 5\/3 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + -2 + (0 - 2) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2257\/392 - -13\/98. Calculate the common denominator of -79\/5640 and v.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -350.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 7*d**2 + 4*d + 9. What is the units digit of o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:57 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 81*g + 1424. Let t be x(55). Let f(i) = 2*i**2 + 17*i + 27. Give f(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/((-279)\/(-30))*(-108)\/12.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-67007)\/(-1811))\/(7\/14).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 9 = 2*s. Suppose s*f - 5 = -l, -2*f + 15 = -5*l - 4. Calculate the highest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2)\/o)\/(o*o*o*o**(-39)))\/(o*o\/(o\/o**(-32)*o)*o*(o**(-13\/5)*o)\/o))**7 assuming o is positive.\nAnswer: o**(2331\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*(-1263)\/171768.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.016761 - -34541\nAnswer: 34540.983239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4018 - 2711. Suppose -8*h = -277 - c. Calculate the lowest common multiple of 18 and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/((-38)\/(-418)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 4*y + 1. Suppose 0 = -5*l + 52 + 53. Let k = l + -17. Suppose 2*j + 5 = j + 2*s, -k*s = -5*j - 19. Give q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -25. Let l = 12 - s. Let z = l - 47.946. Round z to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 28686*r - 1721166. Calculate c(60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/20788 and 65\/76?\nAnswer: 394972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*i**2 - 34*i**2 + 57*i**2 + (1 + i - 1)*(i - i - i) + 2*i**2 - 2 + 2 + 3*i**2 - 3*i**2 - 2*i**2 + (-5*i + 3*i + 0*i)*(3 - 3 + i).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*((-1)\/(-6 + 5) + 10). Let w be (5 + -2)\/((-77)\/o). Suppose 2 = -2*b + 4. Which is smaller: b or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 + 161*d**2 + 152*d**2 - 449*d**2 + 136*d**2.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/415 (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 60. Let o = t + 8. What is the remainder when o is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + 527*j**2 + 337*j - 2451. Determine b(-175).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z + 2742 = -4763 - 5458. What is the remainder when 155 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(28\/16) + 3. Is -3 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294)\/140*(-44 - 3937\/(-93)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*h**4 - 6176*h**3 + h - 616492?\nAnswer: 372*h**2 - 37056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-42)\/9)*-1. Which is the biggest value? (a) -4 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 5*v**2 + 4*v + 2. Let n be h(-4). Let q be n\/(4 + 0 - -18). Is q at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 122743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -141, -1010, -2451, -4458, -7025?\nAnswer: -10146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 2200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Suppose -2*c + 15 = -5*p, -a*p - c - 2 = 4. Sort -1, -2, p in decreasing order.\nAnswer: -1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/8, -4\/15, 4, -25, -79?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -672, -1284, -1942, -2640, -3372, -4132, -4914, -5712?\n\"Answer: y**3 - 29*y**2 - 532*y - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 2, 3.8 in descending order.\nAnswer: 5, 3.8, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181222.\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = 2. Let q be (-69)\/(-165) + 6\/l. Let z = -0.51 + 1.51. Which is the nearest to -0.1? (a) 0.1 (b) q (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 17*c - 100. Let v be n(22). Suppose -5*w + 4*x - v = -0*w, -2*x + 14 = 2*w. What is the highest common divisor of 62 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*w - 95 = 0, 3*w + 2*w = 4*y - 78. Let b be 29*(3 + -2 + 1). Suppose -b = -d - y. What is the remainder when d is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*j = -26, 0 = -3*d - 6*j + 7*j + 56. Let u be ((-1)\/(-2))\/(1\/36). Suppose 4*g - d = -4*l + 2*l, -3*l - u = -3*g. Sort -2, g, -3.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8 = -4. Suppose s - 4 = 0, v*f - 4*s + 1 = -0*s. Suppose -f*r = -0*r - 25. Calculate the highest common factor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 4:23 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 4. Let x(m) = -6*m**2 + 11. Let f(y) = y + 3. Let t be (4\/(-6))\/((-10)\/165). Let p = t + -18. Let v be f(p). Determine v*x(s) - 11*h(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 9) to base 7.\nAnswer: -2263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 7*w**2 + 3*w + 24. Let y = 9 + -9. Suppose y = -5*p + 3*f - 37, -5 = 2*p + f + 12. What are the prime factors of i(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 14. Let t(l) = -l**3 + 6*l**2 - 3*l - 2. Let c be t(j). Solve -2*o - 3*b + 2 = -5*b, c = 2*o + b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 28*g**2 + 54*g - 45. Does 5 divide w(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 36 + 4 - 40.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 805\/2 - 2395\/2*x**4 + 15\/2*x**5 + 795*x**2 + 3215\/2*x - 1615*x**3 = 0.\nAnswer: -1, -1\/3, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-13))\/(((-21600)\/(-90))\/(-16))?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2568, -2402, -2100, -1662, -1088, -378, 468?\n\"Answer: 68*u**2 - 38*u - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.193\nAnswer: 0.193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35358577, 70717157, 106075737, 141434317?\nAnswer: 176792897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13365916 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110222 + 12021?\nAnswer: -12021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2113*p**2 - 51*p + 39. Let c(o) = 2118*o**2 + 50*o - 46. Let a(v) = -5*c(v) - 6*d(v). Find the second derivative of a(t) wrt t.\nAnswer: 4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-10)*(-55)\/(-11). Solve 3*l - g = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21005, -41940, -62879, -83822, -104769, -125720?\n\"Answer: -2*f**2 - 20929*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = z + 15, 5*z + 3*o = -13 - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*u + 4*u - 26, -2*u = 10. Suppose f*a - 4*v - 76 = 0, 3*v + 28 = 5*a - 59. Let k(c) = -c + 33. Let t be k(17). Is t bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 1 - (-3 - 1)\/2. Suppose 48 = k*p - 32. Find v, given that -4*v**2 - p*v + 0*v**2 - 2*v**2 - 80 + v**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.86 - 0.14. Let v = 99385600 + -99385593.0000011. Let a = v + d. Round a to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5 - 5. Let c be (l + 0\/1)*-2. Suppose n - 2 = -2*f, -4*f + 2*n + 198 - 178 = 0. Solve 2*v - f*v = c for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 4*q + 4. Let z be c(4). Suppose -z = 4*j - 12. Solve j*t - 17 - 5 = 4*r, r = -t - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 - (15\/5 + -6). Suppose 3*a = -3*h + 6, -17 = -h + 5*a + 3. Suppose -h*r + 26 = -2*r - s, x*r - 5*s = 26. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 - -45. Let w = v + 67.2. Let z = -3.1 - w. Are 19 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2572855 is divided by 64321?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 11 - 28 - (-244 - -180)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 8 - 10) + 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 21*s + 12 = 2*n, -4*s - n + 9 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 469527 (base 11) to base 9\nAnswer: 1354433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/3789 in 3\/7, -10, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1011765 rounded to three dps?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -5*n**4\/24 - 19*n**3\/6 + 2*n**2. Let l(y) = -y - 4. Let b(p) = -11*l(p) + 2*q(p). Differentiate b(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1740448, -1740446, -1740444, -1740442?\n\"Answer: 2*q - 1740450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 128 = 32. Suppose -s = -l - 20. Suppose 2*b + 3*y = 9, -3*b - l*y + 2 + 11 = 0. Solve 3*m = 5*p + 14, b*m + p + 26 = -4*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1260286 + 167618825\/133. Let r = -73559\/15960 + s. What is the common denominator of -83\/165 and r?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000509074 to 6 dps.\nAnswer: -0.000509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -678320*g**3 - 213*g*k + 268633383*k - 1 wrt g?\nAnswer: -2034960*g**2 - 213*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -15 - (-3 + (8 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/11 + (-570)\/(-110). Suppose d + 1450 = l - 3*d, 5833 = 4*l - n*d. Is 1\/(1464\/l + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175 + 133.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30315337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -77*c + 50 + 7. Let k(a) = -1. Let o(h) = -h - 5. Calculate c*o(w) + 4*k(w).\nAnswer: -w - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6079 is divided by 466.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16 + 0.14. Which is the nearest to -0.5? (a) p (b) 3\/2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/sqrt(5)*-1 + (sqrt(100)\/(sqrt(20)\/sqrt(2)) - sqrt(10)))\/(sqrt(320)*-1 + sqrt(30)\/(2*sqrt(6))).\nAnswer: 2*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 499, -951.\nAnswer: -951, 69, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123760.\nAnswer: 2, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) -0.1 (d) 5\/228 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6359051*g. Let b(y) = -y. Calculate b(k(a)).\nAnswer: -6359051*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 3*j**2 - j**4 + (2 - 6 + 3 + 0 - 1 + 2 + (-3 + 4 - 2)*(6 - 2 - 2) + 4 - 4 + 1 + 2 - 3 + 4)*(-44759*j**4 + 44709*j**4 + 3*j + 0*j).\nAnswer: -101*j**4 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 79. Let k(b) = 45*b**2. Determine k(l(u)).\nAnswer: 180*u**4 - 14220*u**2 + 280845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3 = -4*y, -74*m = -55*m - 24*m - 5*y - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -62 (b) 5 (c) 1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 869\/1995 - 2\/285. Which is the closest to -2? (a) -4 (b) 0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -56. Let d be (8\/(-3))\/((-12)\/a). What is the third smallest value in -0.2, d, 2, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 2*t + 0*t + (-t + 2 - 2)*(1 + 6 - 5))*(-2 + 2 - 1) in the form f*t + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w - 15584*j + 326 = -15606*j, -3*j = 2*w + 26 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14165115*q. Let y(h) = -3*h. What is y(l(a))?\nAnswer: 42495345*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 18. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*a = 163, -5*j + 4*a - 9*a - 260 = 0. Is (1*43)\/(-8 - 425\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5003 - -5006. Solve u*v + 16*v = -133 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -2*i + 5*i. Suppose -3*d + 894 = -2*f, i = -2*d - 0*d - f + 589. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i + 2*i)*(-112 + 216 - 6*i**2 - 106)*(2 + 2*i - 2) to the form b + v*i + s*i**4 + k*i**2 + a*i**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o - 7. Let y(u) = -3*u**2 - 3*u - 3. Let v be 2\/(-1*2\/2). Let d be y(v). Does 13 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 3*r + 39. Calculate v(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11820 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 1540 = -280. Let c = 87 - z. Solve -o - 4 = -n, n - 5 = -o - c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7.729563us?\nAnswer: 7729.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:24 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1, -0.4, 4, 0.07?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57014497 is divided by 505?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**4\/3 - 136*g**3\/3 + 1494*g**2 - 4*g + 53. Differentiate q(j) wrt j.\nAnswer: -8*j - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 617755360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 36. Let r(a) be the second derivative of 3*a + 1\/2*a**2 - 1\/4*a**4 + 0*a**3 + 0. Give r(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22\/3 - 5\/3*y**2 + 19*y = 0. What is y?\nAnswer: 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -86) + -33 + (16 - -2).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 0.3. Let o = s + -2.0044. Round o to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, n: 1, s: 1}. What is prob of sequence sni?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26022605039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(260)*1)\/sqrt(5) - (sqrt(1300) + 0)) + -4)*-5.\nAnswer: 20 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -290\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2354504 (base 6) to base 7.\nAnswer: 1025002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*k + 47, 3*k + 0*k - 222 = 5*t. Let d = t - -45. Solve b + 6*b + 21 = d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -923 (base 14) to base 6.\nAnswer: -12151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -114, -163, -212, -261, -310?\n\"Answer: -49*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903470679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106669199 and 663572.\nAnswer: 426676796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7759.845mm?\nAnswer: 775.9845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/102 and -38\/21.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (38 - 21) - (-2 - -6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9488*z = 9492*z - 32 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*q - 195*q - 20945 = 56*q - 130*q for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 6*x + 4*x - 2 - 4*x + 2 + (-4 + 1 + 1)*(154 + 26*x - 154)*(1 + 0 + 1) in the form m + f*x and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6727 or -6686?\nAnswer: -6727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5447, -5467, -5507, -5573, -5671, -5807, -5987, -6217?\n\"Answer: -s**3 - 4*s**2 - s - 5441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -19 - 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5*((-112)\/20)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35773646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/9 + -26\/9. Which is the nearest to k? (a) -2 (b) -0.4 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**8\/1680 - g**7\/315 + g**6\/180 + g**4\/24 + 9*g**2. Let n(s) be the second derivative of z(s). Determine b so that n(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1261850 = 41*q - 1262711 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f + 2*f + 3*f. Let c(o) be the second derivative of -31*o - 14\/3*o**3 - 1 + 0*o**2. Give m(c(l)).\nAnswer: 56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6284866 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjgk when four letters picked without replacement from {k: 2, g: 1, t: 1, j: 1, q: 1, c: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 2*a**2 + 2*a - 2. Let t be v(2). Let g(i) = 5*i + 36. Let p(x) = x + 7. Let s(b) = t*g(b) - 11*p(b). Suppose -5 = 2*h + 5. What is s(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 30606*i**2 + 30608*i = 0 for i.\nAnswer: -1, 0, 15304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrgxxx. What is prob of picking 2 g, 1 x, and 1 r?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 1, c: 2, u: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325)*1 + 5 + (sqrt(325) + -2)*1 - 2*(-2 + sqrt(325))**2*-3.\nAnswer: -110*sqrt(13) + 1977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85910 and 1752564?\nAnswer: 8762820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let f(v) = -2*v + 2. Let m(k) = 1. Let c(n) = f(n) - 2*m(n). Determine g(c(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 1:24 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 65909.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19\/167, -23\/14, -2\/3?\nAnswer: -23\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125360268 - -66649997. Let f = w + 58710279.7999978. Let j = 8.8 - f. What is j rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytttyyyttt. What is prob of picking 3 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 12:01 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -n + 20. Suppose t = 2*f - 0*t - n, -5*f = -t - 127. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*u**4 - 2043*f**3*u**2 + f**3 - 78*f**2*u**3 wrt u.\nAnswer: 24*f**3*u - 468*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 - -148. What is the remainder when 35 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/78518 and -19\/346795?\nAnswer: 633247670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 7*k**2 + 3*k - 10. Let p be r(-8). Suppose 2*q = 4*q - p. Suppose -q = 2*y - 53. Solve 8*j - 15 = 3*j + v, -j - 3*v = -y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 18. Suppose 49*z - 40*z = -99. Let d be i(z). Solve -2*m - 3*l = -5, -3*m = -d*l - 2 + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.318 and 0.1233?\nAnswer: -0.2858094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35740 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2 + 1573981*i*v - 480401*v wrt i.\nAnswer: -4*i + 1573981*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4841 + 8234. Calculate the remainder when v is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*x - 282 - 5238 = 0 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.99866 - 14. Round i to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 3*s, 3*h + 0*s = -4*s + 6. Suppose 2*j - 4 = h*o - 4*o, -4*o + 5*j = 10. Put 5, 2, o in decreasing order.\nAnswer: 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5106 + 5106 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 873470052 + -24244034767343\/27756. Let n = -3\/1028 + k. Let r = n + -61\/135. Are -2 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**15*d)\/(d*d**16))\/(d**14\/(d*d*d\/d**(1\/3))) assuming d is positive.\nAnswer: d**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 83?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (32\/(-24))\/((-72)\/3099006).\nAnswer: 57389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -15*u**3 - 11*u**2 - 11*u. Let k(g) = -8*g**3 - 6*g**2 - 5*g. Determine 11*k(o) - 6*p(o).\nAnswer: 2*o**3 + 11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x + 416 = 458 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5*(-2)\/2)\/1. Let v(d) = d + 3. Let l be v(o). Let u be (l\/4)\/((-1)\/(-2)). Is u <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20266902, -20266900, -20266898?\n\"Answer: 2*x - 20266904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1514984436874\nAnswer: -1514984436873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/24 - -29)\/((25\/(-35))\/(12\/(-14)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**5\/20 - 5*o**4\/24 - 3*o**3\/2 - o**2 + 4. Suppose 140 = 3*f - 130. What is the remainder when f is divided by r(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 2.43, 0.03, 2 in decreasing order.\nAnswer: 19, 2.43, 2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0225110533 to six dps.\nAnswer: -0.022511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 8*m + 24. Suppose -2*x + m*b - 12 = 0, x = -3*x + 2*b - 6. What is the second derivative of 4*v**3 + 8*v + x*v**3 + 5*v + 3*v**3 wrt v?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c - 16 = 88 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (-6*(sqrt(153)*-2 - sqrt(153)) - sqrt(153))\/sqrt(9) + 1 + (5*((sqrt(612) - -2*(sqrt(612) + 1)) + sqrt(612)))**2.\nAnswer: 2417*sqrt(17) + 244902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41894 + 234*n**3 + 41894.\nAnswer: 234*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1247 divided by -58\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 3*c - 5*c. Let b(g) = -3 - 33*g + 3 + 31*g. Give p(b(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 2*a**2 - 1. Let s be k(-1). Let v(c) = -c + 12. Give v(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-7))\/((-1573)\/154 - -10). Solve 0 = y*p - 11*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**5\/5 + 43*k**4\/4 + k**2\/2 - 18*k + 694. What is the second derivative of g(j) wrt j?\nAnswer: 24*j**2 + 258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12)*2\/4*-15. Let d = -2 - -7. Find the third derivative of g*v**4 + 3*v**d - 5*v**4 - 7*v**2 + 5*v**2 wrt v.\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 5*p**2 - 7*p - 5. Let u(s) = -s**2 - 2*s - 3. Let c be u(-3). What is the lowest common multiple of 9 and f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1340 and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -2. Let v = -0.746 + -3.254. Let r be (3\/5)\/(8\/(-5)). What is the second biggest value in v, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 8*d - 4. Let f be q(6). Let j(k) = 6*k + f + k + 7*k. Let m(h) = 5*h + 3. Calculate 3*j(i) - 8*m(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*w - 271*w = 18*w + 65050 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 5*i - 34 = -9*k, -5*i = -k - 43 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 41271574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 8:03 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 62*o - 26499 = 0. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 166\/14 - (-2)\/14. Suppose f = 5*o - 3. Let j = -27.6 - -27.2. Which is the third biggest value? (a) o (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 5*i + 2. Let g be b(5). Let a(x) = -x**3 - x**2 + 3*x + 2*x**3 - g*x**2 + 2. What is the remainder when a(5) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13325, -13313, -13301, -13289?\n\"Answer: 12*l - 13337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - d**2 - 3*d)*(-8*d + 0*d + 3*d)*(314 + 420 - 887)*(-4 + 6 + 6) in the form s*d + i*d**3 + b*d**2 + x and give i.\nAnswer: -6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in 5, -0.025053, -0.2, 25?\nAnswer: -0.025053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let y(b) = -9*b - 7. Let v(i) = 6*i + 5. Let x(r) = 7*v(r) + 5*y(r). Give 2*s(u) + x(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 56 = -2*t + c, t + 4*c = 28. Suppose 8*s = -i + 6*s - 15, -s = -i - 30. Let v = i + t. Solve -4*p = -k - v, -5*p - k = -1 + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 71 + 20*b**2 + (-1 + 35 + 8)*(0*b**2 - b**2 - b**2) to j*b**2 + g*b + a and give j.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3479476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 6, -r = -3*l + 153 + 169. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*f*r**2 - 10*a + 32*f*r**2 + 2*r**2 - 2 with respect to f.\nAnswer: -2*a*r**2 + 32*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 21375\nAnswer: -427.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7 + 17?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 80, 83, 66, 23, -52, -165?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -54, -86?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -55 (b) 0.3 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61847.17 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 8 = 12*a. Solve a*t = 21 - 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12960 and -47\/64800?\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2)*11\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1202 + -839. Let i = a + -361. Let f = -2 + 7. Solve f*j + 3*w = j - 4, 4*w = i*j - 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 29. Let f be t(-9). Let g(o) = -o - 9. Let k be g(f). Calculate the highest common divisor of 28 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 3. Let p be s(5). Suppose 5*x - 8 + 106 = 2*y, 2*x + 38 = p*y. Let v = 44 + x. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 + 2*d + 5*d**2 - 1 - 4*d**2. Is m(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 11:01 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3259 = 62193. Let p = 24824 + w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 106.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0665 + -403.0665. Let k = -400 - f. Which is the nearest to k? (a) -5\/6 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -40023233304?\nAnswer: -40023233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5 - 2*c + 3 - 3. Let k be j(-5). Suppose 2*u = 0, -u - k + 2 = -h. Solve 0 = -h*d + 1 - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (1\/(-3) - (-26)\/(-3)). Let z(g) = -g + 0 + 5 - 3. What is z(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365 (base 8) to base 5.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 < -74074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -133, -199, -265, -331, -397?\n\"Answer: -66*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z. Let p(r) be the second derivative of 3*r**5\/20 - 5*r**3\/6 - 14*r. Let k(d) be the second derivative of p(d). Calculate j(k(v)).\nAnswer: 36*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525970655.\nAnswer: 5, 7, 47, 45677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8132358 by -12.\nAnswer: 1355393\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(832) + 2 + sqrt(832))**2 + -4 + -5)*-1.\nAnswer: -19908 - 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16610.76 and -3.\nAnswer: 49832.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let i(w) = 7*w - 159. What is the lowest common multiple of i(24) and b(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 438176967 by -20563.\nAnswer: -21309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 33*r**3\/4 + 130881*r**2\/2 + 309315*r\/4 + 23793\/2 = 0.\nAnswer: -7931, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 5 - 43) + 1 + 5 + 3?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/22 and ((-1)\/5 + 3996\/11880)*74\/(-182).\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - 19 - 22 + 42)*(-3*q**3 + q**3 + 4*q**3)*(1 + 2 - 4)*(7 - 3 + 0).\nAnswer: 32*q**5 - 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6\/5 of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 + 20043*u - 4693163?\nAnswer: -6*u**2 + 20043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 11*n**2 + 260319*n - 1562095. Determine a(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -275984, -275999, -276038, -276113, -276236, -276419, -276674, -277013?\n\"Answer: -2*h**3 - h - 275981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2016 divided by -336\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g, 5*a = -7*g + 5*g + 25215. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/15)\/((-10)\/6). Let o = -0.2 - 0. Which is the third smallest value? (a) o (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10463440.4 rounded to the nearest one thousand?\nAnswer: 10463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 151 + -79. Let x = -1719.029 + 1791.06. Let w = c - x. Round w to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*q + 10945078 = 5*q + 9*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3104 + -973.3104. Does -2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1175 - 1228. Which is the biggest value? (a) p (b) -0.4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.4 (b) -4 (c) 2\/7 (d) 0.3 (e) 2\/9 (f) 2044\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 14*m + 33. Calculate l(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*i - 14 = 0, 0 = 3*n + 4*i - 26 - 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -18*z**2 + 3470*z + 6929. Determine g(-2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 3*p + 2, -3*p = 3*j - 6. Suppose j = 4*x + 18 - 58. What is the least common multiple of x and 4 + (2 - -2) + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30861.64 centuries to millennia.\nAnswer: 3086.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millimeter in micrometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-14455)\/(-455) + -13.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20334888 or 20334889?\nAnswer: 20334888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14868 and 21476?\nAnswer: 193284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 3*m - 4 - 6, -10*g - 84 = -32*g - 2*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 2, c: 3, m: 2, n: 2, i: 4}. What is prob of picking 2 m and 1 w?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 6*t**2 + 1\/24*t**4 + 0*t + 3\/2*t**3 + 0. Differentiate o(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*q = 68*q + 1188. Let c be 0 - 27\/(-2)*2. Calculate the greatest common factor of c and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58 - 1) + (-370 + 382 - (-3 + 1 + 18))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25217, 51332, 77447, 103562, 129677?\n\"Answer: 26115*c - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 120, 243, 410, 621, 876?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**(-2\/37)*b)*b**(-7))**(11\/8) assuming b is positive.\nAnswer: b**(-3641\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/((1\/(-3))\/(1\/(-1))). Let i = 56 - m. Suppose 3*q = i*r - r + 443, 0 = 4*r - 16. List the prime factors of q.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/60 + 27*u**2\/2 - 6*u + 4. Let p(m) be the first derivative of q(m). Let w(h) = -h - 8*h - h. Determine p(w(g)).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 434374*i**4\/3 + 16*i**3\/3 - 25*i**2. Let m be r(4). Round m to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.01 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (-928)\/(-58) + -47.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11832?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3179696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 185\/(-35))\/(1204\/196). What is the closest to 2 in -4, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-81) - (-65)\/(-45)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 646986 = -0*p. Suppose -387168 = 3*r + p. Let z = r - -476887. What is z rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-426)\/24 - (-1 + 10\/8). Is 46\/(-207) + (-8428)\/w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2. Let m(w) = -w. Let g be (-2)\/8*(-4 - 12)\/4. Let y(f) = -3*f. Let x(t) = g*y(t) - 4*m(t). Give c(x(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/42 in 1, -0.043, 0.1?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-5) - -157*21. What is l rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 7)*(-20)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 3*f + 6*f. Let s(y) = -y**2 + 13*y - 10. Let o be s(12). Let c(r) = 16*r**2 + 0*r**2 - 29*r**o. Give j(c(x)).\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {d: 1, g: 1, f: 2, i: 2, e: 1, k: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*n + 22, 0 = -2*g - 2*g - 3*n + 29 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356044.\nAnswer: 2, 13, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 - 5 = 0. Suppose 0 = -5*o - 3*f + 59, 3*o - 3*f - 15 = 2*f. Let k = o - l. Solve 5*h = -2*p - 19, 3*h = p - k - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -53 - 1. What is the second derivative of -3*u + 21*u**4 - u - q*u**4 wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/88736 and -26\/11?\nAnswer: 976096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4\/3 (c) -0.044 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5166228223.05 and 1?\nAnswer: 5166228222.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3679 or 3695?\nAnswer: 3695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/8, 5, 0.6, -0.5, -2\/3, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1311 + -1311.33. Let d = 59 - 60. Which is the biggest value? (a) 0 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -60. Solve -5*d = s - 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013352885005 to seven decimal places.\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, -1\/161, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2941\/6 - 489. Let n = 16\/3 + h. Let l = -387\/2 - -190. Find the common denominator of n and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/2 - 81*s**3\/2 + 169*s**2\/2 + 249*s\/2.\nAnswer: -s*(s - 3)*(s + 1)*(s + 83)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 7*j**3 - 3*j**3)*(-12577*j - 5*j**2 + 12516*j + j**2).\nAnswer: 32*j**5 + 488*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeefnegfwegwenfpf. What is prob of sequence gefw?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -559, -2186, -4905, -8722, -13643, -19674, -26821, -35090?\n\"Answer: -b**3 - 540*b**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 25*v**2 + 76*v - 111. Let y(t) = t**2 - t + 1. Let q(d) = -2*b(d) - 22*y(d). Factor q(r).\nAnswer: -2*(r - 5)**2*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - o + 3*v + 63, -5*o - 5*v = -95. Suppose 3*l = -4*g - 47, 2*g + 1 = 4*l + 5. Let d = o + g. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000022183 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-59)\/(767\/78)*(-4)\/6. Solve -6*q - v - 2 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 35*d - 40*d + 17, 0 = 3*p + 3*d - 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 - 2803870*z + 5607720 = 0. What is z?\nAnswer: 2, 560772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/110 and 3 + 0 + 2\/(-360)*879.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (6 + -12)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6*r + 3*o + 1 = 0, r + o - 1 = 0. Suppose -15*x + 12*x = -r*j + 5831, -2*x = 3*j - 4352. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*n + 10 = 0, 0 = 4*r + 5*n + 1609 - 1539 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5\/3 + 445*a**4\/3 + 430*a**3\/3 - 880*a**2\/3 = 0.\nAnswer: -88, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, u: 5, n: 2}. What is prob of picking 1 e, 1 u, and 1 n?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 37 + 4*q**2 - 27*q + q**2 + 5*q**2. Is o(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.37 and -74846276.5.\nAnswer: -74846276.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*z**3 - 265*z**3 + 130*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14054 - 1.\nAnswer: -14055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -656*d + 4029. Determine v(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/6)\/((-1)\/(-3)). Suppose -5*k = 4*o + 5, 0 = 5*o + 4*k + 2 + 2. What is the nearest to o in r, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.5 (b) 2.3 (c) 719.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82872*c - 59769 wrt c.\nAnswer: 82872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91750.91 - 91713.910095. Let b = -37 + f. Round b to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140835 take away 51717720?\nAnswer: -51858555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 18 - 749*h**2.\nAnswer: -749*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*x**2\/3 - 251*x\/3 - 87.\nAnswer: (x + 1)*(10*x - 261)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*q = -2954, -2953 = -10*a + 5*a - 3*q. Suppose 44510 - a = 6*c. List the prime factors of (-3 - c\/(-78)) + (-2)\/(-13).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*n + 158, -n - 15 = 3*b + 142. Let q be ((-1)\/11)\/(b\/1716). Factor 0*p**2 - 2\/3*p + 2\/9*p**q + 4\/9.\nAnswer: 2*(p - 1)**2*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 119*o**3 + 953*o**2 + 3*o + 36. What is i(-8)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 8*g + 8. Let w(s) = s**2 + 3*s + 3. Suppose -8*d + 7 = -17. Let u(r) = d*h(r) - 8*w(r). Let q(f) = -47*f**2. Give q(u(x)).\nAnswer: -188*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34887226 + -1?\nAnswer: 34887225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**7\/5040 - j**6\/240 - j**5\/20 - j**2. Let u(z) be the third derivative of m(z). Let i = -334 + 342. What is u(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 31*x. Let i(q) = -4*q**2 + 3739 - 3739. Determine i(t(a)).\nAnswer: -3844*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - 3*y**3 + 0*y**3)*(3*y - 2*y - 2*y)*(-63 - 88 - 41).\nAnswer: -192*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -1 - (-24 - -1 - ((75 - 28) + -60))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293608 divided by -856.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**3 - 16641*o**2 - 23068584*o + 23085228 = 0. What is o?\nAnswer: -2774, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10 and (((-190)\/24)\/(3\/(-27)))\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 - 5 - -3) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 4*p**2 - 2*p**2)*(2*p + 5*p - 5*p) + (-3*p**2 - 2*p**2 + 6*p**2)*(2*p + 1 - 1).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 19. Suppose 3*n - 8992 = -p*t, -5*t + 954 = -4*n - 8045. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 32975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = 8, 5*k + x = 20. Suppose -c = -k*c + 8. Solve 5*y + 3 = -c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1515 + -825. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - 50 - ((-1 - 1) + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.8 - -9.2. Let l = 30.7 - o. Put -2\/15, -2, l, -1\/4 in decreasing order.\nAnswer: -2\/15, -1\/4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270\/(-85) - (-21 + -8*(-42)\/56)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3383, -13501, -30361, -53963, -84307, -121393, -165221?\nAnswer: -215791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 5*t**2 + 2*t)*(448*t + 450*t - 160*t).\nAnswer: 3690*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 1. Let s(k) = -k**2 - 2. Let c(h) = -6*q(h) + s(h). Let y be c(-6). Is (y + -6 + (-44)\/1)*-1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-32 + 26 + 22\/4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 359, 977, 1595, 2213?\n\"Answer: 618*y - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1027*p**6 + 788*p**2 wrt p.\nAnswer: -123240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let r(a) = a + 1. Let t(c) = c - 5. Let s(n) = -2*r(n) - t(n). Let x = 29 - 0. Suppose -5*w + x = 69. Calculate w*j(p) - 3*s(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-693)\/(-44))*(-1)\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 6\/61, 1\/3, -5, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 817 or 819?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 5*a**2 + 6*a. Let g be b(6). Suppose g = -2*w + 86 + 44. What is the remainder when w is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3955*q**5 + 2006*q**2 - 21124459*q.\nAnswer: 79100*q**3 + 4012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 212*u + 4985. Let x be q(25). What is the greatest common factor of x and 1040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*p = -x + 6, 5*x + 3*p = 15. Let j(h) = -4*h - h + x*h - 13*h**2 - h**3. Let o be j(-13). Solve 4*d + 2*u = -o, -u - 8 = 2*d - d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (0 - -1*17). Let g be 1 + (-1 + i)*1. Let m = -5 + g. Calculate the remainder when 18 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkj when four letters picked without replacement from {k: 7, j: 5}.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47\/2 + 23. Let t = -39\/4835 + -537461\/2301460. Let u = 3\/68 - t. Put u, m, 5\/3 in descending order.\nAnswer: 5\/3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 2c355?\nAnswer: -2c359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 18*v. Suppose -2*i + 11 = -1. Let q(w) = 4*w + w**2 - 4*w - i*w. Let j(d) = -3*g(d) - 8*q(d). Calculate j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1395 and 228625?\nAnswer: 2057625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*y + 21, 3*y = -b + 2*b - 15. Suppose -q + 1019 = 5*f, -2*q = b*f - 4*f - 2016. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*g + 12 = 5*k, -2*g + 15 = 3*k. Put 5, k, -4 in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n + 140. Does 6 divide v(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let o(i) = -4 + 3*i + g*i - 2*i + 2. Suppose 20 = 4*n, -4*f - n = -4 - 5. Give o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - m = -10. Let k(z) = 5*z**2 - 2*z. Does 12 divide k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2*t - 8)*(-92*t - 97*t + 8*t - 13*t).\nAnswer: -388*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Suppose -1339 = -y*i - 10*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.037? (a) 3 (b) -2\/13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1052*i - 49438. What is o(-47)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33201230 + 1?\nAnswer: 33201231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.7, -0.4, -6, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 4, 16.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2802655871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) -2 (c) 2 (d) -0.5 (e) 0.22 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.4 - 43.6. Let a be 1\/(-4) + (-10)\/8. What is the nearest to 3 in -2\/7, c, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/(1*(-18)\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 4*k + 4. Calculate a(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16524632 is divided by 1691?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751 is divided by 38?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/3*16\/40*3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18335 + 25836. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386 is divided by 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10920\/196)\/(-30)*7 + (-2 - -40).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*k - 18, 2*k - 5*o = 10 - 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11037 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 158 - 607 = 0. Calculate the greatest common divisor of 505 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/f**(1\/4)))\/f)\/f)**(13\/6))**(2\/103)\/(((f**(-1)\/f)\/f)**7\/(f\/(f*(((f*f*(f\/(f*f**(-4)))\/f*f)\/f)\/f)\/f*f*f)*f\/(f*f\/f**4*f))) assuming f is positive.\nAnswer: f**(22157\/1236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 - 213. Solve 5*o - 7 = -u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrdvyddrvr. Give prob of picking 2 v, 1 y, and 1 d.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 5*y**3 + 2*y**2)*(-y - 5 + 5 + (2 - 4 + 3)*(-y - 2 + 2) - 4*y + 3 - 3) to the form a*y + m*y**2 + s*y**4 + c*y**3 + i and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:55 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2\/7, -29, -249, 62 in descending order.\nAnswer: 62, 2\/5, 2\/7, -29, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63176.7 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833215 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 281014647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 28*k - 85. Let p be b(9). Let d = -163 + p. Let q be (5\/2)\/((-2)\/(-4)). Solve -3*m = q*l - 2*l, 3 = -d*l - 5*m for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 2678?\nAnswer: 26780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b8b73b + a?\nAnswer: b8b748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19581339629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71571 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r**2 + r**2 + 10*r**2)*(r - 3*r + 0*r + (0*r - r - r)*(3 - 3 - 2) - 12 + 12 + 23*r)*(0*r**2 - 6*r**2 - 3*r**2).\nAnswer: -900*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 3)*(l + 2*l**2 - l)*(-1215 - 38*l + 1215) in the form n*l**3 + p*l**2 + h*l + m and give n.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n - 2. Calculate the lowest common multiple of 6 and i(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 70 = -5*c. What is the units digit of (13 - c)*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7988, 31419, 70508, 125255?\nAnswer: 195660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(4)*1 + -3*sqrt(24)\/sqrt(6))\/(5*sqrt(10)\/(1*sqrt(20)\/sqrt(4))).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -5822728 and -5822727 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26659*g - 149724 with respect to g.\nAnswer: 26659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-187)\/55)\/(1\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*j = -2*j + 63, 37 = 5*l - 1233*j + 1234*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*v + 25 - 70 = 0, 0 = -5*u - 3*v - 31 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 836760, 1673518, 2510276, 3347034, 4183792, 5020550?\n\"Answer: 836758*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6058 = -42*y + 981 - 1873 for y.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 26 = -4*s, 1 = 2*x + s - 5. Suppose -2*n - u + 5*u = 4, -5*u = 3*n + 6. Let q(j) = 2*j + 3. Let t be q(n). Sort x, t, -2.\nAnswer: -2, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/28175 and 113\/80500?\nAnswer: 563500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 490200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.2. Let a = 0.2 - r. Let s = 0.5 - a. Is s < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f + 67*f**2 - 1 - 60*f**2)*((2*f - 2 + 2)*(-3 - 3 + 4) - 1 + 2*f + 1).\nAnswer: -14*f**3 + 12*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*s - 4*s = -11, 24 = -3*x + 3*s. Let w = 15 + x. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 3*t**2 + 7*t - 1. Let v(b) = -b**2 - 1. Let i be v(2). What is the units digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241 + 93 - 883*t**3 + 148.\nAnswer: -883*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/3 - -1 - -3. Let m be (-2 - -1) + (4 - j). Suppose a = d + 20, -m*d + 0 = 6. Calculate the least common multiple of 12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 10) + (7 - -2) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -574, -879, -1388, -2101, -3018, -4139?\n\"Answer: -102*h**2 + h - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -225*u + 13541. What is m(60)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)*z**(-2\/27))**(-5\/6) assuming z is positive.\nAnswer: z**(955\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 57*f + 19693800. Round f to the nearest ten thousand.\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 d when two letters picked without replacement from {p: 2, d: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x + 5*x + 3*x)*(4 + 13*x - 4)*(2 - 4*x - 2).\nAnswer: -884*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-213)\/284 - 17306\/8) + 13. Which is bigger: -2155 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2879*p**4*u + 394*p**3*u**3 - 5*p**2*u + 73015*u**3 - 5*u**2 wrt p.\nAnswer: 69096*p*u + 2364*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 6) to base 16.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from hvppbhp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 58*b - 6*b)*(2 - 2 - 2*b).\nAnswer: 128*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -411446992.818 + 831.\nAnswer: -411446161.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n + 7. Let u be s(-3). Let c(b) = b**3 - 13*b**2 - 6*b + 9. Let x be c(u). Let p = 271\/4 + x. What is the second smallest value in -3\/5, p, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6949, -27790, -62525, -111154, -173677, -250094, -340405?\n\"Answer: -6947*l**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 58080*k + 363. Let a(d) = -801*d - 5. Let z(v) = -363*a(v) - 5*i(v). Let c(b) = 3*b. Determine c(z(p)).\nAnswer: 1089*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjyz when four letters picked without replacement from yjjjjyzjyyyz?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 42*k + 45*k + 50, 3*z - 8*k - 65 = 0. Let d = 2\/1037 - 2120\/23851. What is the nearest to -2\/3 in 0, z, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Suppose h - 30 = -x*z, 5*z + 10 - 80 = -3*h. What is the greatest common divisor of h and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.7 - 6.7. What is the second biggest value in 7, -2, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - (-3 + 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*q - 2 = 2, -4*v = -q - 19. Suppose -5*w - v = w. Which is greater: w or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55121932399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, 3*a = v + a + 2. Suppose -k - j = -5, -2*j + j = v*k - 9. Let o be k + (-5)\/((-140)\/(-104)). Is o bigger than 5.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 765, 767, 767, 765?\n\"Answer: -n**2 + 5*n + 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -45*c + 1114. What is s(25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 26202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103548, 103549, 103550, 103551, 103552, 103553?\nAnswer: 103554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -995? (a) -2\/25 (b) 31 (c) -3\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101 (base 2) to base 11.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1669 - -0.1669. Let x = -27.6 - -30. Let c = -2 + x. What is the nearest to 2\/7 in c, -5, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-5 - 16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15687672 to the power of 1\/2, to the nearest integer?\nAnswer: 3961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3275 - 3304. Sort -2\/15, -4, 0.2, l in increasing order.\nAnswer: l, -4, -2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 39688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 29*t + 65. Calculate y(-30).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/(-7))\/(184\/161). Put 1\/2, 1\/4, y in increasing order.\nAnswer: 1\/4, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 18. Let h be p(6). Let z(c) = c**3 + c**2 + c - 14. Let i be z(h). Let o be (1\/(-4))\/(i\/168). Solve -3*r + 9 = o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1287066, -2573882, -3860698?\n\"Answer: -1286816*k - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -157. Suppose 0 = 14*i + y - 46. Solve 2*g = -i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.63 or 0.2?\nAnswer: -2.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 8, -5, -2, 2 in increasing order.\nAnswer: -5, -2, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -114*o + 629. Calculate z(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7236 + -2931. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -27\/805 - -14493\/144095. Let m = -6504\/895 + s. Is m at least -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeoe when four letters picked without replacement from sjefjefjojjejsje.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b1 - 98?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 3\/7, -2, -2\/5, 1, 689\/6 in descending order.\nAnswer: 689\/6, 8, 5, 1, 3\/7, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17864 - -21224. Calculate the greatest common factor of 540 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61433\/15391711853 - 273467792092572461\/4187967202522743080. Let h = z + 2\/507635. What is the common denominator of 11\/12 and h?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 - p**4 + 0*p**2 - 2*p**2 + (-5*p**3 - p**3 + 4*p**3)*(3*p + 4*p - 4*p) in the form y*p**4 + f*p + l*p**3 + h + k*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Let u be 1 + -5 + (-9)\/(-3). Let p = 226\/5 - 45. Is u greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*b - 30, y - b - 20 = -2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19769?\nAnswer: 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from fggffgfgfffgfggfgg.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -945032 at most -945028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2625 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 13*a**7\/42 + 10*a**3\/3 + 31*a. What is the second derivative of j(l) wrt l?\nAnswer: 260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30532656 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: Rearrange 5878 - 187*s - 74*s - 5878 to w + u*s and give u.\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y = -61*y - 84 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 524355 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103168 and 46624.\nAnswer: 4848896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtq when three letters picked without replacement from {t: 1, e: 1, q: 2, n: 5}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/(6\/(-16)). Suppose 0 = -y + 2*r - 2, r + r = o*y. Let q be 141\/27 + (-2)\/9. Solve y*h = -3 - q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -156912, -156916, -156930, -156960, -157012, -157092, -157206?\n\"Answer: -k**3 + k**2 - 156912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x. Let m be (12\/2)\/(-5 + 17\/3). Suppose 4*n + m = n. Give v(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 33569*q - 469578. What is j(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 158*p**2 + 922*p - 18. Determine c(46).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*w + 16 = 0, 2*y - 2*w + 11 - 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 871377359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - p + 4, 0 = 2*r - r - 4*p - 9. Let d = -58 - -60. Suppose -d*c - r*c = -44800000. What is c rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 12:49 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 424*o - 13875. What is u(44)?\nAnswer: 4781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -46 - -21) + -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.1415226?\nAnswer: 0.0707613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3379 + 1901.3379. Let o = -1901.0000004027 + h. Round o to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from lvllvubelvqu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3, -6 = -n + 7*o - 6*o. Suppose 0 = -4*u + 12, 4*g - n*u - 134 = 21. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2 + 3 + 3*k**3 - 4*k**2 - 4*k**3 - k + 2*k**3. Suppose -2*c - 16 = 2*g, c + 3 = -3*g - 9. Let r be (-2)\/c*-2*(-42 - -36). Give x(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18274037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360019 = -3908*p + 7333 for p.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*j - 6. Calculate the remainder when 5 + j\/((-12)\/8) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.4226 * -0.144\nAnswer: -2.9408544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 5*l + 6*l - 17*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 178 or 177?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 51, 80, 115?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8.3. Let k be (-4)\/(-7) + 2\/(-3). Put 0, z, k in descending order.\nAnswer: 0, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**2 + 22658830*m - 25671128848445 = 0?\nAnswer: 2265883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 4) - sqrt(13))*4*6 - sqrt(39)\/(sqrt(24)\/(sqrt(8)*1)).\nAnswer: -96 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2) - (((-738)\/1107)\/(16\/(-174)) - 7).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/7 + 2*q**3\/21 + 4*q**2\/7 - 10*q. Determine g so that u(g) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = v - 28, 1 = 2*b - 2*v - v. Suppose -18*n = -b*n - 3705. Round n to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 14541*g + 43634. Give j(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 45*z - 123. Let l be m(-42). Suppose -2*y + 3364 = 5*d, -7*d + l*d - 8443 = -5*y. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*f = c + 10, -5*c = f + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 25*g**3 - 20*g**2 + 7*g - 5. Calculate w(2).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75871459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-67)\/((-6633)\/3)*6\/(-4)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539693 at most 1539690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1344, 5325, 11960, 21249, 33192, 47789?\nAnswer: 65040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078087703.\nAnswer: 7507, 410029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninnnninn. What is prob of sequence ni?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5*(-1878 + 113). Suppose -19*j = -277 + z. Let s(c) = 10*c - 4. Let x be s(4). Sort j, 2, x.\nAnswer: j, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2940 = -a - 4*a. Let k = -133 - a. What are the prime factors of k?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -20*o + 7, -2*o - 3*o + 25 = -3*n + 8*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5) + -4 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40860480 is divided by 5107559.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 5, 3 in decreasing order.\nAnswer: 5, 3, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 86*b - 13*b + 22*b + 7*b.\nAnswer: -63*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5818834947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2926*o + 117062. Determine q(40).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122125341*k*v**3 - 186690509*v**3 wrt k?\nAnswer: -122125341*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yuuo when four letters picked without replacement from {u: 2, w: 10, y: 1, o: 1}.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/7, -8, 2\/9, 5, -5 in ascending order.\nAnswer: -8, -5, 2\/9, 10\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 9*g**2\/2 - 12*g + 10.\nAnswer: -(g - 5)*(g - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/9 - 54\/(-8). Let t = h + -8. Let c be (-2)\/5 - 4\/15. Put c, 2, t in descending order.\nAnswer: 2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*p + 75, -4*j + 4*p - 105 = -9*j. Suppose 0*i - 3*i + 77 = 2*g, 5*g + j = 0. Calculate the remainder when i is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77980 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 14303316031927\nAnswer: 14303316031926.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/50 + 56\/10 + -1. What is the greatest common factor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10059 is divided by 4736?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 16*b. Let r(c) = -81*c. Let j = -125 - -65. Let z be j\/(-14) - 4\/14. Let q(k) = z*r(k) + 21*v(k). Let x(l) = -l**2. Calculate x(q(o)).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 303451?\nAnswer: 303444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 27\/(-6) + 4\/(-8). Which is the closest to -1\/3? (a) 4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 - -94. Let g = 38.8 + d. Round g to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61199 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2024*k**2 + 391*k - 7036*k**2 - 391*k + 1.\nAnswer: -5012*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 486.446 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-120))\/((-92)\/(-138)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 6\/37, 1, 4, -3\/7, 0 in decreasing order.\nAnswer: 4, 1, 6\/37, 0, -3\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -121\/3. What is the nearest to -1 in 2\/13, 3, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3741 - 1285 = r. Let o = r + 7371. Suppose 4*x - 599 = -d, 4*d = -4*x + 5*x + o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 18159*g**3 + 6 + 18160*g**3 + 19*g**2 - 4 to the form d*g**2 + c*g + x + w*g**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 7*s - 2. Let k be p(-5). Let t be k + 1 + 1 + 12. Which is smaller: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 281 * 640.8.\nAnswer: 180064.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3 (b) -131 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, 22, 376.\nAnswer: -106, 22, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 282 and -14703?\nAnswer: -4146246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 1. Suppose -x + 17 = 4*d, -x + 1 = d - 4. Let s(u) = 2*u**2 - 7*u + 3. Let j = 121296 - 121302. Give j*p(k) + x*s(k).\nAnswer: 2*k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 12*t - 18. What is the lowest common multiple of 282 and p(-6)?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 5*l - 13, 0 = 2*r - 3*l - 8. Let z be -2*10\/4*r. Let u = z + 42. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:01 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-129)\/(-84) + 2\/(-8). Let j = x - 31\/35. Let h = 4 - 4.3. What is the closest to j in 0, h, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1593 divided by 20?\nAnswer: -1593\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4037*m - 5535 + 29757 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (21212\/1)\/(972\/90 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - 3*f + 2. Let i(w) = 2*w**2 + 37*w - 17. Let a be i(-19). What is n(a)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-41)\/(-6))\/((-53)\/(-106)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 12) to base 4\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -312951\nAnswer: -2\/312951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5014 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from bbglglbblb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315053423 to the power of 1\/3, to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + (11 - (5 + -5)) - 9) + 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c = -8. Suppose 0*y + y = 5*v - 203, -4*v - c*y = -154. Calculate the highest common divisor of 200 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*r - 4*r = -3, -5*g + r - 42 = 0. Let p be 5\/(-15)*g + -4. Let t be p - -11 - (6 - 5). Solve 3*w - 6 = w + 4*j, -j = w + t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, c: 13}. Give prob of picking 2 w.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/12 - 2*r**3\/3 + 3*r**2 + 3*r. What is the least common multiple of 11 and n(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 84. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 7*q**5\/120 + 11*q**3\/3 - 11. Let o(v) be the third derivative of m(v). Let l(n) = -3*n. Calculate o(l(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -247.\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 1, 3, 79 in decreasing order.\nAnswer: 79, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n*t*w - 102*n*t - 167838*n*w**3 + 2*n - 30*t*w**3 + 4*t*w**2 + 11*t*w + 19*w**2 wrt w.\nAnswer: -1007028*n - 180*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121983 and 595?\nAnswer: 72579885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -v - 3 - 137, 4*b + 640 = -4*v. Let f = -152 - v. Solve -12 + f = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiqiniqinqnnqi. What is prob of sequence nqq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-572*g + 29*g - 176*g - 259*g - 499*g)*(5 - 5*g + 0*g - 3).\nAnswer: 7385*g**2 - 2954*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3*r - 2. Let s be o(1). Suppose s - 15 = -5*x. Let y(z) = -3*z - 5. Let i be y(-4). Solve -x*p + 16 = -i*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/3709 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 45, -8, -0.2, -11 in increasing order.\nAnswer: -11, -10, -8, -0.2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -64*h**2 + 6*h + 93. Let d be ((-9)\/(-36)*8)\/(1\/3). Let a(o) = -o**2 - o. Let g(j) = d*a(j) + k(j). Differentiate g(p) with respect to p.\nAnswer: -140*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(17) + 0 - sqrt(17)))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*s**3 + 14*c**2 - 17*s**4 + 4*s wrt s?\nAnswer: -6*c**2*s - 204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3077 - -3115. Let l = -166 - -233. Let i = l - o. Does 15 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiu when three letters picked without replacement from {i: 3, u: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -269 - 4. Let h be (-2)\/(-7) + 2886\/o. Calculate the greatest common factor of h and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.22231 litres in millilitres?\nAnswer: 15222.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of p**7\/105 - 5*p**4\/8 + 2*p**2 - 22*p. Let m(x) be the first derivative of a(x). Find the second derivative of m(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2813375.\nAnswer: 5, 71, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -1. Put 2, z, 2\/5 in descending order.\nAnswer: 2, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57254955?\nAnswer: 3, 5, 317, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1*(-5)\/(-165).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 159\/5. Let g = d - -7\/15. Which is the second biggest value? (a) 1 (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 3 (c) 3\/4 (d) 7 (e) -1.67 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 14689320*x + 13486007628900.\nAnswer: 4*(x + 1836165)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-935)\/(-385)*(-11422)\/(-3). Let i = x + -9243. Let c = -14563\/1431 - -612\/53. Find the common denominator of c and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = -4*c. Suppose -i + 6945 = c*i. List the prime factors of i.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 1. Let j(t) = 9*t**2 + 13*t - 16. Let z(g) = -j(g) - 3*r(g). Let b be z(-5). Solve 0*l - b*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -252 - 1\/(-2)*0. Let w(b) = -3*b**2 - 64*b - 326. Let x be w(-22). Let i = k - x. What are the prime factors of i?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6 + 14. Let s = 124 - 622\/5. Which is the second smallest value? (a) s (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113264 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/8 in 1, -3, -0.0768, -1\/5, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:10 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(117) + 3*sqrt(117))**2 - ((sqrt(117) - (sqrt(117)*-4*-5)**2) + 0).\nAnswer: -3*sqrt(13) + 48675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45882590 to the nearest integer?\nAnswer: 6774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 114608*i - 573042. Determine m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4394095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 6, -9, -24, -39, -54?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 2104960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 5\/4*m**4 - 16*m**2 + 0 + 0*m + 9\/20*m**5 + 0*m**3. Find the second derivative of i(t) wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224179 is divided by 27729?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/15406 and 137\/852?\nAnswer: 6562956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = z - 6*z. Let f(m) = -2*m + 83. Suppose -2*p = 231 - 311. Let w be f(p). Solve -w*h + 0*h = -z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 27*i + 524. Give x(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3084355 + -5214355. What is n rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (4 - 28 - 9)) + (6 - 15).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9953 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -29*a + 26*a. Suppose -78*x = -a*x - 162. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/6 - (-34)\/36) + -1. Let t = 5 - 3. Let d = t + -6. Put w, 3, d in decreasing order.\nAnswer: 3, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 361 = 4*c - 23, 2*l + 204 = 2*c. Let d = -34 + c. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/6 - 29*d. Let u(z) = 186*z**2. Give k(u(h)).\nAnswer: 69192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 90, 122, 176, 252, 350?\n\"Answer: 11*m**2 - m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 53245445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.066 + 0.75. Let q = z - 0.084. Which is the nearest to -7? (a) -4 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76626, -76621, -76612, -76599, -76582, -76561, -76536?\nAnswer: -76507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1625 and -89\/1112475?\nAnswer: 5562375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 - 5*z + 5*z)*(0*z + z + 0*z)*(75*z - 281 + 281) in the form s*z**3 + y*z**2 + n*z + d + t*z**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:31 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + k - 36 = k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -2898, -6465, -11458?\nAnswer: -17877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4 - (-27)\/(-36)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - 10*k - 10. Let f be u(8). Let w be 4 + (-4 + 0)\/2. What is the units digit of f\/6 + w\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (5 - 8) + -12 - -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**4\/12 - 159*q**3\/4 + 880*q**2 - 1037*q\/3 = 0?\nAnswer: 0, 2\/5, 34, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from yyyyyyfyyfyfyyff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*z**3 + 128*z**2 wrt z.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**1)**(-4\/5))**1)**1)**(-1\/9) assuming o is positive.\nAnswer: o**(4\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 521 - 262 - 237. Determine g(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865235023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 + 53*b - 109*b + 0*b**2 + 6*b**2 + 60*b. Let a be n(-3). Let w be -4*(a\/(-6) + 2). Solve 4*l - 6*t - w = -t, 2*t - 2 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 4898*a - 1764781. What is m(439)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 3*b - 135, 3*f - 85 - 50 = 5*b. Let n be ((-120)\/(-100))\/((-4)\/(-650)). What is the greatest common factor of n and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 8, -3*v - v = -4*j + 20. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 809909982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhhhkhhzzhuzhgk. Give prob of picking 1 h and 2 z.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -77194516?\nAnswer: -1\/77194516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 578042554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x. Suppose 0*q = 2*q + 2. Let h(m) = 9*m**3 + 8*m**2 - m. Let a(k) = q*o(k) - h(k). Find the third derivative of a(s) wrt s.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51 - (-3)\/(6\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:21 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -218733 divided by -72911?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247515 and 1740.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -500 - -4502\/9. Suppose -3*t + 3 = -g, -4*g + 8 = -0*t - 2*t. Put u, t, -0.5, 2\/15 in decreasing order.\nAnswer: t, u, 2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6827 (base 13) to base 10.\nAnswer: -1442617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 - 1000010101010?\nAnswer: -1000001111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 4. Let w(g) = -2*g - 9. Let i(v) = -5*j(v) + 3*w(v). Determine i(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1457, -2894, -4331, -5768?\n\"Answer: -1437*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/60 + u**3\/6 + 16*u**2 - 7. Let m(h) = h**2. What is m(f(b))?\nAnswer: b**4 + 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + t - 32786 = 0, 2*c + 4*t - 18022 = -1636. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.63094197 to zero dps.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425193426 and 3570?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -540 + 544. Solve 2*t = 3*h + 6, x*t - 8*t - h = 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1431 - 1457.96. Let n = 27 + b. Let o = -61 + 423\/7. What is the second biggest value in o, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 20*z**2 - 77*z - 54. Give s(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/5 - 132*t**2\/5 + 423*t\/5.\nAnswer: -3*t*(t - 3)*(t + 47)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -987.603 rounded to the nearest integer?\nAnswer: -988","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23459, 23473, 23487, 23501, 23515?\n\"Answer: 14*p + 23445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 76620379 to the nearest one million.\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 - -397\/6. Let f = 43\/4 + -83\/8. What is the biggest value in a, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 1, -16\/3, -2, 2\/3, 27?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/318 and 101\/20.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -30223544 (base 6) in base 7?\nAnswer: -10204546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15530 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: Two letters picked without replacement from pwpwgwpppwppp. What is prob of picking 1 w and 1 p?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16676 and 60?\nAnswer: 250140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 6315.\nAnswer: 6321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28128339\/329749 - -13900\/163. What is the common denominator of f and -15\/7?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/8 - 3*l**3\/8 + l**2\/8 + 3*l\/8 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7993 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104558.\nAnswer: 2, 23, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16413 (base 10) in base 16?\nAnswer: 401d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.38 and -5.\nAnswer: -171.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -937, -3614, -8049, -14242, -22193, -31902, -43369?\n\"Answer: -879*n**2 - 40*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1259787618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/11*(-15)\/(-60)*-7?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*z = 48, -1436*c + 5*z = -1433*c + 94 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 3918 = -1401. Suppose -11*y + 729 = -s. Let f = -78 + y. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/1 + 51543\/2691. Factor -36\/13*w + 162\/13 + v*w**2.\nAnswer: 2*(w - 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 7*y - 13. Let i be h(9). Suppose -u = -i - 22. Suppose -15 = -3*v + 2*v. What is the remainder when u is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)\/(p\/(p\/(p*p**(-4\/5))))*p**(-2\/19)\/(p\/((p\/(p\/(((p**(10\/3)*p*p)\/p)\/p)))\/p)*p))**(-8\/3) assuming p is positive.\nAnswer: p**(1328\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.1, 4.03 in ascending order.\nAnswer: -0.1, 4.03, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915*n - 1357*n + 19 - 2037*n.\nAnswer: -2479*n + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-9)\/(-2). Suppose m = 7*m - 6. Let i(r) = -4*r**3 + 5. Let v(z) = -z**3 + 1. Determine m*i(b) + n*v(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec8 + 4090?\nAnswer: 30b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1.92, 4 in decreasing order.\nAnswer: 4, -1.92, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6 - 7. Let y(n) = -n + 0 + n**2 + 50*n**3 + 15*n**3 - 1. Let c be y(u). What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:45 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1)\/2*-8. List the prime factors of ((-60)\/25)\/(o\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 1130?\nAnswer: 21470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(117) + 0) - (-6*sqrt(117)*2*-3)**2) + 5.\nAnswer: -151621 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9357 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7295149 and 569.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t + 17. Let j be n(2). Suppose 4*l + m = -m + 202, -j*m + 147 = 3*l. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.3777795 to one decimal place.\nAnswer: -185.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 0*n)*(2 - n - 2) - 6*n**2 + 3*n**2 + n**2 - 2*n**2 + n**2 - n**2 + 8 + 3*n**2 - 4*n**2 - 10.\nAnswer: -7*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-2 + (-3)\/6)*(-126)\/(-105) - -2274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*o + 43*o + 61*o - 26*o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/((-27)\/(-528)) + 0. Let b = 174 + t. What is the fourth biggest value in 4, b, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 2*s - 8031 + 7332 - 4*s**2 + 6*s**2 + 6204.\nAnswer: -s**2 + 2*s + 5505","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/12 - 2*l**3\/3 + 2*l**2 + 9*l. What is f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/2)\/n))**(2\/155)\/((n*n**10\/n)\/(n*n**(-2))) assuming n is positive.\nAnswer: n**(-1702\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(2 + 3*y - 2) + 37*y - 1089 + 1089.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -3*j**4\/4 + 4*j**3\/3 + 15*j**2\/2 + 2*j - 4. What are the prime factors of p(-5)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209341 is divided by 14948.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 4*g + 28, 0*g + 17 = 2*w + 5*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n**2 - 54*n - 125. Let h(q) = 3 + q**2 - 8*q**2 + 4*q**2 + 11*q + 22. Let z(g) = -2*b(g) - 11*h(g). List the prime factors of z(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652200763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5\/1001 (b) 2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-70) + 10143\/(-230))\/(6\/(-10)) + -10?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4, r + 2*k = -0*k. Calculate the lowest common multiple of (-1)\/(-2) + 111\/2 and (264\/48)\/(r\/8).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 15*u - 12. Suppose 3*c + 55 - 13 = 0. Let p be m(c). Suppose -o + 14 = p*t - t, o - 5*t = -10. Solve y - o = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(2*q - q**2 - 2*q) - 65 - 19*q**2 + 65)*(-q + 9*q - 5*q)*(-2*q**2 + 2*q**2 + 2*q**2).\nAnswer: -102*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159607229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 0.4, 808, -5\/883 in descending order.\nAnswer: 808, 34, 0.4, -5\/883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 2*i - 3*i - 88 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5.\nAnswer: -5, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9005*z**3 - 8*z**2 + 13*z - 40. Let i be l(8). Suppose -5*c + 2*c + 6873024 = 0. Let v = c + i. What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 509 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1648*o**2. Let v(h) be the first derivative of h**2 + 4448. Calculate v(w(u)).\nAnswer: -3296*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.073 + -0.027. Let z = -1530\/7 - -219. Put i, z, 8\/3 in decreasing order.\nAnswer: 8\/3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*q + 27*q - 57*q + 3120 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -14 - 39 - -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 55. Let q(t) = -t**2 + 28*t + 17 - o*t - 12*t. Let z be q(6). Solve -2*l = 3*r - 17, z*r = -l - 13 + 39 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6291*s**2 + 2 + 6377*s**2 + 2 + 70*s**5 - 2*s**4 wrt s?\nAnswer: 4200*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:53 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {s: 2, t: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:10 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5*m = 10, -13*n = -17*n + 4*m + 32 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(17) + 0)*-2 - sqrt(51)\/(sqrt(15)\/sqrt(5)) - 5*(sqrt(425) + 1 + sqrt(17))))**2.\nAnswer: 11880*sqrt(17) + 667368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:51 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 greater than 3826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 - 9\/(-5). Find the second derivative of -m + v*m + 3*m + 0*m + 3*m**2 wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824416691 divided by -5\nAnswer: -824416691\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2696 - -2695. Which is the nearest to u? (a) -5\/74 (b) -1 (c) 3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3076276 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/480 - i**5\/120 + 5*i**2. Factor s(d).\nAnswer: d**2*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 4, p: 5, r: 1, n: 3}. Give prob of sequence pk.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*r - 30 = -204*r. Solve 4*z = -0*z - 3*q - 28, -3*z - r*q = 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/2 and -11\/1094.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4745 is divided by 2730.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-28) - 2\/4. Let n = 1038 - 1037. Which is the nearest to n? (a) 1 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-194)\/(-17) + (-46400)\/(-78880)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2732.723892 rounded to one dp?\nAnswer: -2732.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 5*v + 67, -3*v = -2*s - 23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - 90 + 366 - 396*m - 93 - 91 - 91 as c + w*m**2 + y*m + l*m**3 and give y.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 - 13*z**2 + 227.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112239 is divided by 112057.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (226 - 258) - (5 - (10 + 4))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -12. Let r = 7358 + -7356. Which is the nearest to 0? (a) 2\/3 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at most -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1)\/((-1)\/4 + 54\/120).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 140*t**3 + 210.\nAnswer: 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-1)\/9*3. Which is smaller: 50\/37 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8881*v + 17767. Determine x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 164692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96765813343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.3 (b) -94 (c) -285 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 + 118. Suppose 24 = -r + b. Calculate the remainder when r is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 25 = 0. Suppose g*v + 23 = -2*c + 4, -c + 13 = -2*v. Let i(d) = -d + 1. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57702025 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -5*u**4\/8 - 71*u**3\/6 + 29*u**2 - 3. Let g be c(-5). Solve -g*f + 4 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 5*g**2 + 2*g - 9. Let k be m(5). Let w be (-285)\/60 + k\/(-4). Sort 4, w, -2 in increasing order.\nAnswer: w, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 12. Let q(l) = -l**2 - 8*l - 8. Let i be q(-6). Sort i, 1, c.\nAnswer: 1, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*s + 1)*((7 - 2 - 3)*(s + 1 - 1) + 0*s - 4*s + 5*s + 0 - s + 0 - s + 0*s + 0*s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*-1*sqrt(1300)*3.\nAnswer: 4 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 2*h**6\/3 - 4*h**3 + 28*h. What is the second derivative of g(x) wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000046223949 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:10 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 312 + (-3*1)\/(9\/6). What is the highest common factor of 2015 and q?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011 + -1010000101010?\nAnswer: -1010001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22660)\/(-308) - 83) + 9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23062*c**4 - 507*c**3 + 34416175*c**2?\nAnswer: 553488*c - 3042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*j*o**3*v**2 + 11*j*o**2*v - 6*j*o*v**2 - j*v**2 + j*v - 4*o**3*v**2 wrt o?\nAnswer: 168*j*v**2 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66692 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 0 - 6\/(-3). Suppose 3 = -4*z + u*x + 17, -5*x = -5. Suppose -z*l + 5 = -3*l. Is l <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6417 and -58\/2511?\nAnswer: 57753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*c + 122*c + c**2 + 34*c**3 + 97*c to b + d*c**3 + n*c**2 + i*c and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 124\/(-4)*(-1)\/1. Suppose 5*z - r = q - 3*q, 5*z - 28 = -q. Factor 6*l**3 + 1 + 0*l - q*l - l**2 + 1 - 3*l**3 - l**4.\nAnswer: -(l - 2)*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 8 - 32. Suppose -9*p = -q*p - 34. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 211*k - 4. Let f be i(1). Let v be (-1)\/(-10) - f\/(-30). Let g(j) = -j**3 + 8*j**2 - 6*j - 4. Let p be g(v). Solve 0 = 4*z - p*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*w = -2 + 1, 3*w - 11 = 4*g. Which is the second biggest value? (a) 1\/6 (b) 0.2 (c) g (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296c9 (base 15) to base 4\nAnswer: 200200230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3*t**2 - p**3*t + 3*p**2*t**2 + 50*p*t**2 - 3 wrt p.\nAnswer: -12*p*t**2 - 6*p*t + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457470 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-11))\/((-7644)\/28028)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1055 - -1065. Suppose -c = 3*u + 10652, -u - 31924 = -7*c + l*c. Round c to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 4\/3, 0.3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56450267.\nAnswer: 56450267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 31. Calculate the greatest common divisor of 45 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 8322240.\nAnswer: 58255680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = 2*c. Let i = 53 - 51. Suppose i*n - 5*l = 52 + 8, -20 = 5*l. Solve n = -c*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00499738861 rounded to six decimal places?\nAnswer: -0.004997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 1. Let j be o(3). Let p = j - 2. Let b = p + 3. Solve 0 = -2*h + b*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0*z + 0*z + 91*z**2 + 29*z**2 - 1. Is u(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*sqrt(216)\/(-4*sqrt(9)))\/(6*(sqrt(192) + sqrt(192)*-3 + sqrt(192))).\nAnswer: -4 + sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - r = 3 + 1, 18 = -2*v - 4*r. Suppose l + 4*k - 9 = 0, -4*l + 2 = -5*k + 8. Does 24 divide v*(l + -1) + 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8451\/760 + -3\/152. Find the common denominator of c and -35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*r - 65, -r = -2*r - 4*p - 7. Suppose -r = -g + 30. Let v(y) = y**3 + 4*y**2 - 7*y. Calculate the remainder when g is divided by v(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -51?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 78 - k**2 - 78 - 6*k**3 + (-1 + 4 - 1)*(-11*k**3 + 31*k**3 + 5*k**3) to m*k**3 + f*k**2 + n*k + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 89. Which is the second smallest value? (a) 1 (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*((sqrt(40)\/(sqrt(24)\/sqrt(3)))**2 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**3\/3 - 5*l**2\/2 + 7*l - 37. Is i(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 2, n: 6, m: 3, k: 5}. Give prob of picking 1 a, 1 g, and 1 n.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 10 + 50. Let a(b) = -2*b - 21. What is the remainder when 69 is divided by a(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4\/7 + 15528*d**3\/7 + 93060*d**2\/7 - 96*d\/7 - 496320\/7 = 0.\nAnswer: -5170, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*m**4 - 8 + 2 + 5 - 41*m**4 wrt m?\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.98 - -0.02. Let a = k - 5. Let u = -36757\/9 + 4084. Put 0.1, u, a in ascending order.\nAnswer: u, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 34. Suppose -3 + d = 5*o. What is the lowest common multiple of o and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655698.\nAnswer: 2, 11, 17, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*u + 330*u + 153*u.\nAnswer: 628*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 2.1. Let t = v + 2.4. Which is the second smallest value? (a) -2 (b) t (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) -5 (c) -6 (d) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -12, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 - 17*c**4\/12 + 2*c**3\/3 + 7*c**2 - 34*c. Let b be g(-17). Let t be (-118224)\/b + 2\/3. Round t to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -6*m - 2*v, -3*v + 3 = 0. Put -8, m, -4, -1 in increasing order.\nAnswer: -8, -4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 860 + -860.6704. Let m = q + 0.68. Round m to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 110565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 35579*s + 1227. Let i be r(7). What is i rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5\/5 - 3951*i**4\/5 - 1604622*i**3\/5 - 41699286*i**2 - 412194783*i\/5 - 205299027\/5 = 0.\nAnswer: -681, -317, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + r = 582, b - 2*r - 123 = -0*r. Suppose -4*s + 289 = -5*v, -b = -4*s + 2*s - 3*v. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -130.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and 703.88?\nAnswer: 703.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1319639 - -527856243\/400. Let s = a - 27\/16. Put -0.4, s, -7, -4 in decreasing order.\nAnswer: s, -0.4, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r. Let s be j(-2). Let o = -4 + s. Let w = 30 - 2. What is the remainder when w is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75951 and 4379.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.446 times 2.6?\nAnswer: -1.1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*o + 13*o + 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981304 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: Convert 10 (base 13) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 15) in base 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59513*d - 98895*d - 506572*d.\nAnswer: -545954*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**4 - 10*n**3 + 772*n wrt n?\nAnswer: 12*n**2 - 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648726563 to the nearest integer?\nAnswer: 25470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38756*-4.4.\nAnswer: 170526.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274.8592 rounded to the nearest ten?\nAnswer: -1270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-70)\/(-84)*(-6)\/10. Put 0.1, c, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21665 (base 7) to base 4\nAnswer: 1111232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 11*d**2 + 5. Suppose 0 = -4*v + 3*f + f + 1096, -4*v + 1072 = 2*f. Suppose 0 = -33*s - v - 93. Determine i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112648500 rounded to the nearest ten thousand?\nAnswer: 112650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + t - 33. Let p be k(-7). Is 9 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76.11963223 - -73.0722974. Let d = l + 5.0273358. Let m = 1.98 - d. Round m to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r - 6. Let w be i(-5). Let d = w + 16. What is the derivative of d*z - 7 + z + 2*z wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6343663 and 37715.\nAnswer: 7543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.023, -4\/5.\nAnswer: -4\/5, 0.023, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1172378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139*v**3 - 893*v**3 + 194*v**3.\nAnswer: -1838*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 8:43 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*174239.\nAnswer: 34847.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 621752786 - 621752710.7999597. Let a = 75.2 - g. Round a to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 129\/14 + -545\/28. Let i = p + 10. Which is the nearest to i? (a) -4 (b) -5\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -20*w + 2. Let j be s(-2). Let n = -51 + 72. What is the highest common factor of j and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89483.77 milligrams in micrograms?\nAnswer: 89483770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by 51.\nAnswer: 268\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -25*s**3\/3 - 3*s**2 + 30*s - 5. Let q be 2\/(-5) - 18\/5. Is y(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/7 - (-27)\/63) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-105 + 50)) + -68?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26923 - 26953 - (-155 + 1)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -29.4, 0.4 in increasing order.\nAnswer: -29.4, 0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 329, -2, -9, -4, -14 in ascending order.\nAnswer: -14, -9, -4, -2, 4, 5, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4. Let b = -8 - o. Is b > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260*c - 8 - 4*c**3 + 520*c - 194*c + 4 to o*c + i + k*c**3 + h*c**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10324*b - 51714. Determine w(-5).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, -2, 2, -35 in increasing order.\nAnswer: -35, -8, -2, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**6\/30 + x**4\/12 - 7*x**2\/2 - 4*x. Let r(l) be the first derivative of m(l). Find the second derivative of r(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -686 + 1097. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*r = -15, 2*w - 3*r = -2*w - 40. Let v(i) = i**2 + 7*i. Let j be v(w). Suppose -2*b - 2*b + 88 = j. What is the lowest common multiple of b and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45266774149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 18437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53222521 (base 7) to base 13.\nAnswer: c1ba6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f - 55*f + 115*f - 266*f - 201*f.\nAnswer: -502*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -11*c**6\/120 - c**5\/30 + c**4\/6 - 43*c**2 + 1. Find the third derivative of h(w) wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 20, 0, 38, -4.\nAnswer: -4, 0, 1, 5, 20, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6914374031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 60114322 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -74*i + 4. What is the lowest common multiple of o(-3) and (-508)\/(-9652) - (-1)\/(-19)*(4 + -307)?\nAnswer: 1808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3796, -8434, -13072, -17710?\n\"Answer: -4638*b + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/5, 6\/5, 2, 5, -131099?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1838 divided by 2\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(136) + 2*sqrt(136)*-4))\/(sqrt(128)\/sqrt(4)*3))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.948 - -0.252. Round g to zero decimal places.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/10)\/(82\/12505)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyz when three letters picked without replacement from {z: 6, y: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22527*q**3*r**2 + 204*q**3*r*x**2 + q*r**2 + 5*r**2*x + 5*r*x**2 wrt x.\nAnswer: 408*q**3*r*x + 5*r**2 + 10*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.0003 + -0.0003. What is the biggest value in -0.1, 0.1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 3\/6)\/((-2)\/(-12)). Suppose 4*u + 7 + 5 = 0, -u + w = 3*t. Let -15*i**2 + 63\/4*i**t + 3\/2*i**3 + 0 - 27\/4*i**5 + 6*i = 0. What is i?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6083*n - 26*n**2 - 7*n**3 + 0*n**3 - n**3 - 6085*n - 9 to c + p*n + t*n**3 + v*n**2 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-8)*384\/(-2880)*4*-1. What is the fourth smallest value in -5, -57, h, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 57. Let o be s(-15). Let m = -6 - -9. What is the least common multiple of m and (o\/(-35))\/((-9)\/30) - -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 + (72 - (197 - 106)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 16 = 4. Differentiate 10 + 2*b**3 - 2*b - r + 2*b with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 22157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(12956\/(-1185))*(-6)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -332*l**2 - 2*l + 2. Let c be j(2). Let a = -2605\/2 - c. Let p = 3888 - 89376\/23. What is the common denominator of a and p?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*n + i - 2*i, -2*i + 4 = 0. Is 1*129\/(-1 - n) 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 {m: 2, r: 11, x: 1}. Give prob of sequence mx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c**2 + 59*c - 40. Let n be y(-8). Put n, -1\/4, -8 in increasing order.\nAnswer: -8, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -1. Find the common denominator of 3\/4 - (-79)\/(-44) and (-65)\/(-12) - o\/(-6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 3*d + 2. Let g(m) = 2*m**2 + 3 - 3*m + 3*m**2 - m. Let w = -3 + -1. Let p(o) = w*x(o) + 3*g(o). Differentiate p(y) with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1322 + -5500?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18261*v - 1364 = -18217*v for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24 = -2*l + 48, -4*d + 30 = l. Calculate the remainder when l is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**3 + 4*g**2 + 4*g - 4. Let s(f) = 8*f**3 + 9*f**2 + 9*f - 9. Let d(t) = -13*j(t) + 6*s(t). Is d(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 12*h - 58)*(3 + 3 - 4 + (1 + 0 + 1)*(0 + 0 + 5) - 4 + 4 + 6)*(4*h - h - 2*h) as a*h**2 + v + p*h and give a.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in 0.2, 6\/15463, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence desd when four letters picked without replacement from dlllslddeddeldgledd?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axxaxnaxxaxrx. What is prob of sequence nxx?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16752\/(-1934856) + 1619\/231.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7912.934 microseconds to milliseconds.\nAnswer: 7.912934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -4404413112?\nAnswer: -4404413130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*b + 15, 3*b - 4*b = 5*o - 15. Suppose b = -2*x + 39 + 23. Suppose -w = -2*w + x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1192\/5 + 26\/(-65). Let a(s) = 243 + 8*s + s**2 - t - 2*s + 5*s. Let z = -209 + 199. Give a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 15 = -4*j, -4*y + 0*y = j - 12. Let g(n) = 5*n**2 + 3*n - 3 + n**y - 5*n - 6*n. Let q be ((-1)\/2)\/(1\/12). Determine g(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 39. Suppose 54 = -w + 3*w - 3*u, -w + r = 5*u. What are the prime factors of 406\/w*9\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -714*v + 2071. Is p(-40) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 7*p + 2. Let m be n(12). Suppose 0*z + m = z. Calculate the remainder when z is divided by (1*21 - 1) + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127 - 129)\/(7*5\/665)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 60*c**2 - c - 8. Let h be n(-8). Let v be (319750\/6)\/(16\/h). What is v rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14310801, 28621586, 42932385, 57243204, 71554049, 85864926, 100175841?\n\"Answer: o**3 + o**2 + 14310775*o + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w**2 - 1. Let s be u(2). Let o = 83 - s. Let d = 100 + -90. What is the remainder when o is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + 84. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 11*k**6\/10 + k**4\/8 - 265*k**3\/6 - 235*k**2. What is the derivative of l(m) wrt m?\nAnswer: 396*m**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.668 + -15.668. Which is the nearest to 1? (a) 0.02 (b) -0.4 (c) 0.8 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3 + 0 - 2*c - 1\/20*c**5 + 1\/2*c**2 - 1\/4*c**4. What is the units digit of i(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let k(g) = 48*g. Calculate 40*a(d) + k(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19425259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 + 0 = 0, 26 = -2*h + 3*i. Let v = h - -17. Calculate the greatest common factor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*f**3 - 12*f**3 - 10*f**3 + (3*f - 1 + 1)*(f**2 - f + f).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 7*g**5\/20 - g**4\/6 + 5*g**3\/6 - 2*g**2 - 51*g. What is the least common multiple of q(2) and 21?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(19) + sqrt(19))*-2 - (1*(sqrt(171) + -5))**2.\nAnswer: -198 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-42)*0 - (-21)\/4. Which is smaller: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 9) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/43, -169, -2\/19, -1\/4, 8, -4, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 575738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1*0.03.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*((sqrt(88) - sqrt(88)*1)*3 + sqrt(88))\/sqrt(8) - -1*2*(sqrt(275)*1 - sqrt(11)))**2 + 4.\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 196*c**2 - 6*c + 3. Let a(o) = -197*o**2 + 4*o - 2. Calculate -3*a(p) - 2*f(p).\nAnswer: 2*p**3 + 199*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/7)*k\/k**(1\/2))\/(k**(2\/5))**(1\/34) assuming k is positive.\nAnswer: k**(1601\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -11.532 in descending order.\nAnswer: 8, 2, -11.532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 144*d - 150. What is f(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 2*q - 2*q - q - 2 as y*q + l and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1296?\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 45*o**2 - 84*o. Let j(v) = 3*v**3 + 23*v**2 + 42*v. Let q(n) = 7*j(n) + 4*p(n). Let m be q(21). Solve -6 = -2*r - m*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-7 - 6)) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 5, -1, 62 in decreasing order.\nAnswer: 62, 5, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -1 (c) 5 (d) 58 (e) 0.4 (f) 13.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2501*c - 2936*c + 5220 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/21)\/y)**(-3\/25)\/(y**(-2\/17))**(2\/7))**(-5) assuming y is positive.\nAnswer: y**(-134\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -92*n + 86 - 86 - 2*n**2 - 4*n**2 + 92*n. Let u = -5 - -3. Let t(j) = -5*j**2. Give u*r(i) + 3*t(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o - 4. Suppose 2*z - 7*z = -40. What is the remainder when k(-6) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*h + 13, -5*w - 11 = -h - 30. Suppose 16 = 2*q + 2*x, 8 = 2*q + x - w. Suppose q*s + 6 = 0, y + y = 5*s + 42. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*m = -3*x + 3, 2*m - 4 = x. Solve 2*d + x*y + 6 = 0, -3*d - d = -y + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6e1 (base 16) in base 5?\nAnswer: 24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a7e81 (base 15) in base 4?\nAnswer: 2002022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h - 2 - 1 + 60*h. Let d be v(-1). Let u = d + 57. Solve u*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2 - -2) + 17 + -15 - 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2 - 21*j + 92.\nAnswer: 4*j - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z**2 - 1030*z + 12860. Calculate t(23).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 4*n + 8, -4*q + n + 16 = 0. What is the second derivative of 0*a**3 + q*a**4 - 2*a**3 + 2*a**3 + 3*a wrt a?\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p + 3. Let b = -83 + 86. Calculate the remainder when 53 is divided by x(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1866.2886*-4.\nAnswer: 7465.1544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -33334?\nAnswer: 33335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10647325099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from hyaaphyphha.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l - 14. Suppose -7*c = -5*c + 8. Let m be d(c). Suppose h + 5*a = 4*h - m, -3*h = 4*a - 18. What is the lowest common multiple of h and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6875*u + 6871*u + 20 = 0. Solve 3*d + 24 = u*y - d, -5*d = 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13820321?\nAnswer: 41, 337081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyyppppyyp. Give prob of picking 1 t, 2 p, and 1 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 21*c**2 + 21*c - 18. Let w(f) = f**3 + 11*f**2 - 7*f - 57. Let o be w(-11). Let m be v(o). Factor -7\/2*s + 3\/2*s**3 - s**m - 1.\nAnswer: (s - 2)*(s + 1)*(3*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 4) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-11 - -6) + 17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 3*h**2 - h - 5. Let n(q) = -q - 1. Let m(p) = 2*n(p) - 2*s(p). Factor m(r).\nAnswer: 2*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = h - 6*h. Let v(s) = 5*s**2 - s - 2. Let i be v(2). Suppose g - i = -3*g. Calculate the remainder when h is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19387?\nAnswer: 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327015.1l to millilitres.\nAnswer: 327015100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**3 - 21*j**2 + 5*j - 5. Let d(g) = 5*g**3 - 10*g**2 + 3*g - 3. Let x(b) = -5*d(b) + 3*z(b). What is the third derivative of x(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 792?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n + 3*n - 5*n + 1 - 1 + 2*n + (-2 + 2 - 1)*(-4*n + 4*n - 6*n) + (1 + 2*n - 1)*(2 - 6 + 3) in the form m*n + t and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.048 * -2866.\nAnswer: 137.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*k - 4*k = -95, 0 = 3*q - 5*k + 100. Let j = q - -51. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(12\/11)\/w)\/w**32*((w\/(w\/(w**(-3\/4)*w)))\/w)**21)**(1\/9) assuming w is positive.\nAnswer: w**(-233\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4, -5, 61, -10 in increasing order.\nAnswer: -10, -5, -4, -2, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**5\/5 - 2560*w**4 + 25584*w**3\/5 = 0. What is w?\nAnswer: 0, 2, 3198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 32*s + 52. Let k(m) = m**2 - 11*m - 17. Suppose -p + 5*p = 3*c - 11, c = -5*p - 28. Let q(u) = p*v(u) - 16*k(u). Solve q(r) = 0 for r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 10*a - 14. Let m be p(12). Suppose 0 = -5*t + m, 2*s - 44 = 5*t + 56. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2235 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5815, 5827, 5837, 5845?\nAnswer: 5851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let p = 34 - 29. Let l(c) = 7*c - 2. Let f(r) = 14*r - 5. Let y(t) = p*l(t) - 2*f(t). Determine y(s(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1180, -1143, -1106, -1069, -1032, -995?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + a - 63 + 64 = 0, -2 = 3*s + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t = -161 - 39 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102657, -205269, -307845, -410385, -512889, -615357?\nAnswer: -717789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -186968592*v**2 - 15077572 wrt v.\nAnswer: -373937184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 8*u**3 - 19*u**3 + 2*u + 11*u**3 - 2*u**3 + 3*u**4 + 1 to the form d + s*u**3 + f*u**2 + l*u + y*u**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*d*j**3 - 12*d*j**2 - 5*d*j - 9121*j**3 + 2*j wrt d?\nAnswer: -36*j**3 - 12*j**2 - 5*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19627052, 157016397, 529930330, 1256131145, 2453381136?\n\"Answer: 19627049*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-40)\/(-2) + (-4)\/4 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4)*s)\/s**3)\/(s\/(s*s\/(s*(s*s*s**(-7)*s*s*s)\/s*s))*s*(s\/(s*s**7))\/s)*((s**0)**(-8\/5))**(4\/21) assuming s is positive.\nAnswer: s**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6737 is divided by 2240.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5211924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2 - 2*q**2 + 7 - 13*q + 5*q**2. Let r(t) = -5*t - 8. What is the remainder when o(7) is divided by r(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*u - 42, -30*m + 28*m - 3*u - 64 = 0. Let f(x) = x**3 + 25*x**2 - 29*x - 72. Let z be f(m). Solve z*h = -7 - 23 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/6 + 5*t**2\/2 - 9*t. Is 6 a factor of s(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 33. Let b(s) = -57*s - 264. Calculate 4*b(d) - 33*w(d).\nAnswer: 3*d + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 + z**2 - 4*z + 12680. What are the prime factors of a(0)?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 83.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1435.4 - 1430.4. Which is the second biggest value? (a) -0.5 (b) m (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7760 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -5, 2\/9, -5\/3, -4, -2107, 1\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5933\/5 or -1188?\nAnswer: -1188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 243*y - 246*y, -4*t = 3*y + 5. Let w(o) = -o**3 + 4*o**2 + 6*o - 7. Let m be w(5). Put m, -1, 1, t in descending order.\nAnswer: 1, -1, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 18433851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) 12 (c) 2.763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*w - 241*h + 490*h - 244*h - 66, -w + 5*h - 6 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366571.\nAnswer: 17, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((4 + (sqrt(684) - -1*sqrt(684)))*3 - (sqrt(684) + sqrt(684) + 2 + -3 - (sqrt(684)*3*-3 - sqrt(684) - sqrt(684))))**2.\nAnswer: -1092*sqrt(19) + 33689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 17*y - 27. Let d(r) = -3*r - 25. Let g be d(y). Suppose 5*q - h = 55, g*h = -q + 16 + 6. What is the highest common divisor of 18 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**3 - 211222447132*w**2 + 211222447132*w**2.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 3*(-34)\/(-6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 23. Suppose 12*r = 3*r + 351. Suppose -36*l = -r*l + 33. Let f(v) = -v + 8. What is l*f(y) + 4*w(y)?\nAnswer: -3*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*219\/730*(-6)\/((-36)\/35).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:27 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4563)\/(-1014))\/(3\/6*6\/(-8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -4*t**4\/3 + 2*t**3\/3 + 6*t. Factor v(i).\nAnswer: -4*i*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*z = 5*s + 25958, 0 = -3*z - 3*s + 12990. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -341, -525, -709?\nAnswer: -893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Let z(u) = 6*u - 2. Let i(l) = l - 1. Suppose 0 = -x - 3, -4*t - 11 = x + 4*x. Let y(o) = t*z(o) - 2*i(o). What is y(v(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, t: 4, l: 3, c: 2}. What is prob of picking 2 l and 2 c?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07007 - -0.07. Round q to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p**2 - 13*p + 64. Let n(w) = 5*w**2 + 6*w - 31. Determine 9*n(l) + 4*o(l).\nAnswer: l**2 + 2*l - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26303 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9727107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 7979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -3 + 5 + 2. Let o = 4 + -2. Let g be (-60)\/a*o\/(-6). Sort 14, -2, g.\nAnswer: -2, g, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i**(-2\/17)*i**(4\/9)*(i\/(i*i\/((i\/i**(3\/8))\/i)*i)*i)\/i*i*i**(-1)\/i assuming i is positive.\nAnswer: i**(-1283\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 17*u - 82. What is o(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30794025 divided by 5?\nAnswer: -6158805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(66)\/sqrt(6)) + sqrt(17) + sqrt(17) - (4 + (sqrt(17) - sqrt(17)*2)**2) - (-1*sqrt(153)*3)\/(sqrt(108)\/sqrt(192)).\nAnswer: -21 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v. Let m be d(-2). Let r be m + 0 - (-930006 + 8). Round r to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-8))*u)\/((u\/(u*u\/(u\/u**7)))\/u))\/((u*u**(4\/9))\/(u*u*u**8*u*u)) assuming u is positive.\nAnswer: u**(104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 2, b: 7}. What is prob of picking 3 b?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, x: 1, k: 3, g: 2}. What is prob of sequence kkxc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -7. Let y be 4\/40 - (1203\/30 - 0). Let a = f - y. What is the smallest common multiple of 22 and a?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30488 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, s: 1, c: 3, q: 7}. What is prob of picking 1 n, 2 c, and 1 s?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 6*l**2 + 3*l - 1. Let b be j(-4). Suppose -b = 3*h + 8. Let i be -183*6\/h + 4. Calculate the greatest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 2 - (5 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g. Let h(a) = 2 + a**2 + 4 - 6. Determine h(f(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-200)\/(-20))\/(1\/38). Let r be -4 + (u\/45)\/2. Which is the second biggest value? (a) r (b) 2 (c) -6 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*-1.6.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 311900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/10)\/((10\/(-8))\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -793961, -1587924, -2381887, -3175850, -3969813, -4763776?\nAnswer: -5557739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 7. Let r be 2*(m - (-2)\/(-2)). Suppose r*o = -0*o + 26. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/11411864 and -31\/4279449.\nAnswer: 34235592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-1)\/2 - -2). Is ((-34)\/(-6) - -3)*b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {z: 1, k: 5, o: 3, a: 1, s: 4, r: 4}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/7 - 2904*z\/7 + 702768\/7.\nAnswer: 3*(z - 484)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - 0) + ((-1450461200)\/(-20400) - (-2)\/(-51))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*v + 23*v - 58*v + 24*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r + 5. Let n(l) be the first derivative of 9*l**2\/2 - 21*l + 8. Give -5*n(x) - 21*v(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1971346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 + (-5 + 6 - 2)*(3 + 4 - 5) + 4 - 1 - 1)*((2*k**5 + 2*k**4 - 2*k**4)*(-1 + 2 + 1) - k**5 - 3*k + 3*k - 2*k**5 + 3*k**4 - 3*k**4).\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2*(1238\/4 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -21\/107824?\nAnswer: -21\/107824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 27*i + 3524 = -w, 0 = -3*w - 2*i - 10660. What is the second smallest value in w, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 3:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - j**2 - 1 + 4)*(2 + 0 + 0)*(2*j - 2*j - 5*j) to the form d + a*j**3 + v*j + z*j**2 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 2, f: 4, d: 1, s: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5844 (base 14) to base 7\nAnswer: 62514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 4*z - 6*z**2 - 5*z.\nAnswer: -6*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9416*d = -9427*d + 18853*d - 26 + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpgp when four letters picked without replacement from pxppg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*v + 20 = -2*z, -4*z - 29 = -3*v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -242?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 91*n - 14. Let p be w(-6). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5990 and 80?\nAnswer: 47920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 18*z - 1316 + 1178, 3*b = -2*z + 22 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 12*v**2 + 10*v + 13. What is k(-11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 8. Suppose 0 = 3*b - 6*b. Suppose b = 4*p + 13 + 19. Let c(w) = -w + 5. Let y(v) = p*c(v) - 5*l(v). Calculate y(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/4 + 11*g. Let r(n) = -5*n**2. What is r(l(k))?\nAnswer: -45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2974 divide 160795258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*t + 76, -2*l = -t - 3*t - 46. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(16) + sqrt(4)))\/((sqrt(108)\/sqrt(2))\/sqrt(9)))**2 + 5.\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 20. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703 = -n - 1711 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/414 and 39\/5.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -13153 = -13153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 - 3*q**4 - 3*q**4)*(-154763*q - 755 + 755 + 42501*q - 49774*q + (-3*q + 3*q + q)*(0 + 4 - 3) + 2*q + 0 + 0).\nAnswer: 324066*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127812280373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 734703, 1469404, 2204101, 2938794, 3673483, 4408168, 5142849?\nAnswer: 5877526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2 + d - d + 1 - 1 - 2*d + d + 0*d - 3*d + (1 - 5 + 2)*(-2*d - d + d) + 3*d - 3*d - d - 3*d + 2*d + 0*d + (1 + 4 - 3)*(372*d + 110582 - 110582).\nAnswer: 744*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1\/(-1)) + -91 + 96.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-5 + 11) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 - -3.8. Let n = 1.1455 + -0.8455. Let r = -2 + 1.7. What is the nearest to n in z, -3\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 divided by 1\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v - s - 2*s, 3*v + 4*s = 0. Suppose 8*q = v*q + 12. Let i(w) = 5 - q*w**2 + w**2 + 5*w**2 + w + 0*w**3 - w**3. Give i(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -19*z**2 + 2*z + 1. Give v(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33028 by 23.\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 625020, 1250092, 1875160, 2500224, 3125284?\n\"Answer: -2*l**2 + 625078*l - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3726\/(-8))\/((-5)\/(200\/15)). Suppose 372 = -6*n + l. What are the prime factors of n?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/2343 and -58\/2343.\nAnswer: 2343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2253 + 3333. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 6*m**2 + 8*m - 2. Let f(n) = 8*n**3 + 23*n**2 + 32*n - 9. Let l(u) = -4*f(u) + 18*i(u). Let l(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let c(a) be the first derivative of a**2\/2 - 5*a - 1. Let x be ((-2322)\/162 + 15)*3\/(-2). Determine x*c(l) + 3*m(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*g - 6\/13*g**2 + 16\/13.\nAnswer: -2*(g + 2)*(3*g - 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*h - 262 + 2. Suppose 3 = 2*b - 3. Suppose -3*y + 2*k + 587 = 0, 11*k - 584 = -b*y + h*k. What are the prime factors of y?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*b + 700*b - 2139 = 3797 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2357 divide 359111720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 414, 580, 812, 1110, 1474, 1904?\nAnswer: 2400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 39482529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2045216*h**3 + 188814*h?\nAnswer: 12271296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 - 47*l + 332. Calculate o(6).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 941 - 937. Solve -d + 3*y = -18, 0 = -u*d + 6*y - y + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89193*a*b**2*v**3 + 1206*a*b**2*v**2 - a*b*v**3 - 3*a*b + b**2*v wrt v.\nAnswer: 535158*a*b**2 - 6*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 5, -24, -87, -196?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-81*r + 25*r**2 + 81*r)*(2393 - 342*r - 2393) as a*r**3 + m*r + k + v*r**2 and give a.\nAnswer: -8550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.09 + 90.91. Let t = b + 70. Let p = -71 + t. Which is bigger: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-45))\/((-380)\/(-7410)) - (-8 - -1).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 3. Let b be i(2). What is the common denominator of 170\/(-36) - 3\/9 and b\/3*(-498)\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32107978 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -661\/1239 - -9\/59. Let x = -2\/3 - z. Which is the nearest to -0.4? (a) x (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*sqrt(8)\/sqrt(4) + 5.\nAnswer: 5 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2663 - -2711. Solve -65*c - p = -59*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 90*q + 244. Let g be a(-14). What is the common denominator of -107\/6 and g\/6*36\/(-2304)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22103?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 118097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*2*sqrt(539) + sqrt(539) - (-3 + sqrt(539)*-3)))**2 + 4.\nAnswer: -168*sqrt(11) + 8637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = -1. Let u be 1 + 2 + (-2 - a). Suppose u = q - 12. Calculate the remainder when 41 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 1\/9*f**3 + 5 - 1\/15*f**5 + 0*f + 1\/24*f**4 - 1\/12*f**2. Determine i, given that m(i) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(700) + -1 + -1 - (sqrt(700) + (sqrt(700) - (sqrt(700) - (sqrt(700) - -1*(sqrt(700) + 1*sqrt(700)))) - sqrt(700)) + 0 + sqrt(700)*1)))**2.\nAnswer: 2160*sqrt(7) + 226836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - ((-8)\/18 - (-2138)\/(-9)). Is 243 equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -173, -1, 4, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328002630 and 2790.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2394)\/840*-1?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/(-261) - ((-2)\/(-3))\/1.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13239.8 - -1661.2. Is 0 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5263986623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 + 6*u. Let n(b) = -6*b**2 - 11*b - 16. Let p(v) = 2*v**2 + 4*v + 6. Let m(o) = -3*n(o) - 8*p(o). Determine -34*m(x) + 6*w(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 14. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 1, 1\/13, 1\/3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 588767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnpnnpppnpnp. What is prob of sequence pnnn?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 69089.9 rounded to the nearest one thousand?\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 18.80277 centimeters?\nAnswer: 0.0001880277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + o + 3. Suppose 7*i = -3*i. Give v(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15133, 15175, 15251, 15367, 15529, 15743?\nAnswer: 16015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*t**5 + 3*t**4 - 206*t.\nAnswer: -1100*t**3 + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.75213 millennia in centuries?\nAnswer: 407.5213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 37 - 41, -32 = -2*n + 2*c. What is the highest common divisor of n and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.07, 2\/19, 3.85, 0.1, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 10*l + 19. Let y(r) = -8*r**3 - r - 1. Let f be y(-1). Let i be q(f). Suppose 0 = 5*x - i*x - 178. List the prime factors of x.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14042492 + 67488212011\/4806. Let x = r - -1\/2403. Calculate the common denominator of x and -137\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.97, -0.02785, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 525 - 522. Solve -2*r = -n*g - 21, 64*r - 59*r = 2*g + 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1082569 and 7577983?\nAnswer: 7577983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3188278 and 258?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2504\/7 < -359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**2*l + 36*j*l + 7*j - 2604*l - 1 wrt j.\nAnswer: -10*j*l + 36*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 5*t**2 - t + 2. Let o be s(-4). Let b = o - 16. Suppose 0 = -d + 3 + 12. Calculate the greatest common factor of b and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -247, -373, -517, -685, -883, -1117?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57476 = -4*h + 2*j, 2*h - 2*j - 39423 = -10685. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321500 (base 10) in base 14?\nAnswer: -85244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 657469686 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1647 and 5013.\nAnswer: -825.6411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 568 and 139200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2148698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t - j - j, -5*j = -2*t + 25. Solve t = -s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 1 + 17 + -3\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 968376210 to the power of 1\/2, to the nearest integer?\nAnswer: 31119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15043 at most 15302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12926864 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785 is divided by 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-12) - 5\/(-15). Suppose 3*b + 2 = -5*k, -v*k = b - 4*b - 18. Let d be -1*(k + (-32)\/14). Is -2\/3 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 + 0*k**2 + k**2)*(5*k - 3*k - k) + k**2 + 4*k**3 + k - k**3 + 3*k**3.\nAnswer: 7*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 1. Let n(b) = -b**3 - 6*b**2 - b - 3. Let m be n(-6). Let a(k) = -k**2 + 16 - 13 + k**2 + 2*k**2. Give m*j(s) + a(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.5, 2, 1\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 493.8 * 19.\nAnswer: 9382.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 13 - -3) + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 7:08 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.206 + 0.706. Let l = -617\/21 - -89\/3. What is the third biggest value in 1.1, -3, l, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -4, -0.5 in ascending order.\nAnswer: -4, -0.5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, -4\/5, 41310, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2132 + 19534. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424693 is divided by 212315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*b**3 + 5*b**2 + 6*b wrt b?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25\/6 (b) 73 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 + 9*q - 10. Let n(h) = -h**2 - 12*h - 4. Calculate the remainder when v(-5) is divided by n(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/71? (a) 1 (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/28 and 61\/1656690.\nAnswer: 3313380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386 + -385.606. Let l = x - -0.006. Sort 5, -0.4, l in decreasing order.\nAnswer: 5, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 2, u: 1, e: 4, o: 1}. Give prob of sequence deo.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*3*(-4)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t + 3*t + 17*t + 4*t + 7*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254583.\nAnswer: 3, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539767245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 - 4*h + 2. Let v be o(2). Suppose 0*t + t = -v. Put 4, 0, t in descending order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r = -43*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 56*t + 7*t - 5 - 72*t.\nAnswer: -121*t - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1)*(2 - 1). Solve 0 = 4*u - x + 10, p*u - 4*x = x + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((104160\/180)\/(-434))\/((-1)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1469)\/221) + 3588\/(-1105)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1375 in -11, -2\/13, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + -0.6. Let p = o + 0.81. Let i = 91\/174 + -20\/29. What is the nearest to -0.1 in p, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(102) - (sqrt(102) + 2*(sqrt(102) + -1*sqrt(102))) - sqrt(102) - sqrt(102) - sqrt(102))\/(-3*sqrt(24)).\nAnswer: -4 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9984\/(-576)*(-12)\/(-16).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 50*k - 38*k + 35*k**3 + 1 - 12. Let b(q) = -7*q**3 - 2*q + 2. Let j(v) = 11*b(v) + 2*y(v). Determine j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/140 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 59, 46, 31, 14, -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -20, -12, 0, -19.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 144886 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h + 7. Let d(m) = 11*m + 4. Let y(v) = v + 8. Let f be y(-5). Let b be d(f). Suppose 4*p = -13 + b. Determine g(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**2 - 3*m**2 - 2*m**2)*(2*m - 2*m - 3*m) - 30*m**3 + 13*m**3 + 12*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*f - 0*f - 78, 5*f = -3*t + 61. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18478*h**2 - 6226*h**2 - 6227*h**2 - h**3 - h**3 - 6025*h**2 + 5*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -52*t**3 + 3*t**2 + t - 2. Let m be q(-1). Calculate the highest common factor of 325 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 803167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -256573, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.4, -256573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -17, -5, -3, 7 in ascending order.\nAnswer: -17, -6, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064*w + 588 = -1162*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 864 and 96?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 27*c**2 + 52*c - 140. Let m be n(-4). Suppose -3*z - z = -32. Solve 0 = -2*j + 3*w - z, -5*j - 2*w - 3*w - m = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 59.95. Let o = j - 0.05. Let w = -25 + 114. Do w and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282354673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b. Let w = 11 - 9. Let z(m) = m**3 + 11*m**2 + 10*m + 3. Let k be z(-10). Let o(c) = k*c**2 + 4*c**2 - 6*c**w. Calculate o(v(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 21720*u**2 + 21565*u + 651450.\nAnswer: 5*(u - 4343)*(u - 6)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2))\/o*o**(-4))**12\/((o*o**4\/o*o)\/(o\/(o\/(o*o\/(o**(-5)\/o*o))))*(o**1\/o)**(-11\/5)) assuming o is positive.\nAnswer: o**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22 - -1251867?\nAnswer: 1251889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.569? (a) 1 (b) -9 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 60*t + 90 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99863716.\nAnswer: 2, 43, 139, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*k = -49, 4*m = 4*k - 3 + 7. Suppose -5 = -m*b + 7. Factor -9 - 4*i + 5*i**2 - 3 - i**4 + 4*i**b + 8*i.\nAnswer: -(i - 3)*(i - 1)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/4*(-8)\/(-14). What are the prime factors of (85 + (-1 - -2))\/j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.586 and 2.\nAnswer: 6.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21191*r**5 - 21*r**3 - 858496*r**2 wrt r?\nAnswer: -1271460*r**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1000331113 (base 4) to base 11\nAnswer: -1719a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z. Let i(w) = 0 - 8*w + 0 + 10*w. What is m(i(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53 - 46?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2 = -8*b. Let q be 3\/2 + (-1)\/(-2). Calculate the greatest common divisor of b and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11373887*y**3 - 5688445*y**3 - 5685445*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8094773.\nAnswer: 8094773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(3\/5)*u*u*u**(9\/4)*u**1\/u**(2\/9) assuming u is positive.\nAnswer: u**(1193\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1152551313 (base 6) to base 4.\nAnswer: 302232011331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - (-1*sqrt(192) + 4)) + -3*sqrt(192)*1.\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 25 = -4*f, 6*f - 45 = 33*p - 34*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12192 - 12191.994813. Round o to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312644*g + 297928*g - 27341*g.\nAnswer: 583231*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/(((-4)\/350)\/((-2172)\/1810))?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.5 (b) 2\/21 (c) 43.8 (d) 4 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3. Let y be v(-1). Let q be -4*(0 + y\/4). Suppose -q*t + 25 = -0, 4*t - 48 = -4*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 2438618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 15, a: 5}. What is prob of picking 3 r and 1 a?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + d - 11 = 0, 4*d - 7 = 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1649305519 + 1.\nAnswer: -1649305518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122436 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 67, 185, 309, 439, 575, 717, 865?\n\"Answer: 3*s**2 + 109*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:07 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 divided by -10?\nAnswer: 142\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsdzyzyyyysdyzdss. Give prob of picking 2 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237.63 - 214.439. Let q = -23.4 + a. Let t = q - -0.3. What is t rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*g - 2*a - 64102, 4*a = -2*g + 128196. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - -12?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 4)*(0*m - m + 7*m)*(0 + 0 - 1) in the form o*m + j and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -22. Let f = j + -7. Suppose -f*v = 2*x - 110, -x - 55 = 2*v - 5*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 5*b - 10. Let a(n) be the third derivative of -n**4\/12 - 5*n**3\/6 - 10*n**2. Let p be a(-8). Let j(q) = q - 2. What is p*j(k) - 2*y(k)?\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 - 5*k**4\/6 + k**3\/6 + 3*k**2\/2 + k. Let h be g(-10). Let s(x) = x**2 + 7*x + 5. Calculate s(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234673*-0.3.\nAnswer: 70401.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a century in months?\nAnswer: 17700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283162894?\nAnswer: 2, 7, 3347, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((-1)\/(-27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 42. Suppose -m = -4*m - 45. Let p = m - i. Solve 3*g = -5*j - 3, 0 = -4*g - j - 4 - p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 26*i - 756. Is (12 + 0)*(i - (-110)\/(-11)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**7\/210 - 49*t**6\/120 - 107*t**5\/30 - 249*t**2 + 2. What is the third derivative of l(n) wrt n?\nAnswer: 24*n - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 9 + 29*x**2 - 14 + 33*x**2 - 12. Let s be h(5). Suppose -5*l - s = -8*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 2*g + g + 4*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*d + 7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -6*a - 2 - 3*a**2 + 2*a**2 + 6 + 1. Let m be p(-6). Solve -3*s - 2*s = -m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/28 and 157\/157752.\nAnswer: 157752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5614002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - -1 - (125 + -108)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1825.916 decades?\nAnswer: 219109.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*l - 0*h + 3*h, -2*l = 5*h + 13. Let q = 44 - l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 580.262767 to one decimal place.\nAnswer: 580.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052432861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60259097 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37787 + 77575 = 29*c. What is the highest common factor of 119 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {h: 1, y: 1, z: 2, s: 1, d: 3, a: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171374 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*53\/159.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*p + 49*p - p**2 + 21*p**2 - 5*p**2 - 1 in the form o*p + v + y*p**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1200 + -1200.0000010625. Round u to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 427 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 2*y. Let v(i) = i**2 + 2. Let r be v(0). Suppose y*p + 190 = r*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3661*s*v**2 + 1207*s*v - s - 338*v**2 - 41 wrt v.\nAnswer: 7322*s - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 937859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28 - (2 - (-3 - -6)). Suppose -224*q = -178*q - 1334. Is q less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000232557 rounded to six dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/41, -2, -0.15, -0.6, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-2 - (-22)\/8). Suppose -b*t = -8*t + 30. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6252*w + 5. Let u(q) = -18705*q + 14. Calculate 17*l(m) - 6*u(m).\nAnswer: 5946*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 60132 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: Which is the third biggest value? (a) -0.021 (b) 2\/9 (c) 82 (d) -23\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-6*u + 3*u + u - u - 3 + 3 + (1 - 2 - 1)*(-3*u + 4*u + u))*(2 - u - 2)*(-8*u + 5 - 5).\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 0*u + 2*u - 2*u - u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*w + 68*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.69687653109 from 0.06.\nAnswer: -1.63687653109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246213310.\nAnswer: 2, 5, 7, 3517333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -21485*r**2 - 14*r. Let x(z) = -85940*z**2 - 63*z. What is 9*v(t) - 2*x(t)?\nAnswer: -21485*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 11) to base 8.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24378761 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f**2 + 41*f**2 - 93*f - 80*f + 2 - 103*f + 290*f to p + c*f**2 + s*f and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3163187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/62471630 and -54\/3445.\nAnswer: 62471630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 43. Suppose l = 5*t - 21, 6 + 5 = 3*t + l. Suppose -13 = -t*c - 5. Let n(b) = -6*b**2 - 5*b**c + 10*b**2 + 0*b**2. Calculate w(n(u)).\nAnswer: u**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00891 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/8 + 13*i\/8 + 3\/4.\nAnswer: -(i - 3)*(5*i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7 + 8*n**3 - 18*n**2 + 38*n**2 + 5*n + 4*n**3 - 18*n**2. Is 14 a factor of d(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -13*o**3\/3 - 27. Let b(r) be the second derivative of r**3\/3 - r. Determine i(b(s)).\nAnswer: -52*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d + 51. Let h = -46 + 31. What is the units digit of i(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j*l**4 + 2*j*l**3*w + j*l*w - 116*j*w - j + 129*l**4*w + 2*l**2 - 7 wrt l.\nAnswer: 96*j*l + 12*j*w + 3096*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(19) + -1)**2 + (1 + sqrt(133)\/sqrt(7))**2.\nAnswer: 8*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -9277932\/17 and -545762 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295138927*b**2 - 2*b + 5201343 wrt b?\nAnswer: -590277854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.742092 minutes in hours?\nAnswer: 0.2623682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7424233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -199207 + 7570939\/38. Let f = a - 14\/19. What is the common denominator of 1*-2*(-46)\/12 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**3\/3 - 4. Let z(w) = -4*w. Determine m(z(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/((sqrt(4) - sqrt(64)) + sqrt(4)) + (sqrt(612) + 1 + sqrt(612))**2 + sqrt(612))*5.\nAnswer: 295*sqrt(17)\/2 + 12245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*w = -w - 19, 3*x - 3*w = -24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*r**4 + 14*r**3 - 14*r**3 + (-5*r**4 + 0*r**4 + 3*r**4)*(-2 + 4 + 1) to u*r**4 + y*r + l + v*r**2 + p*r**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c + 689. What is r(-39)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/(-33))\/(-8) - 32\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/3 (b) 2\/21 (c) 65\/4 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 13649964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 88*q + 77848 - 2210440. What are the prime factors of q?\nAnswer: 2, 3, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4, 2*w - 136 = 5*k - 3*k. Let q be (-20)\/(-6) + (-2)\/(-3). Suppose q*s - 3 = w. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3\/4 (c) 2\/5 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1607 or -1616?\nAnswer: -1616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 + 101176*h**4 - 636536688*h**3 - 41149435880*h**2 - 27778015372*h + 810215486640 = 0?\nAnswer: -63, -5, 4, 12679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 - r**2 - 3*r + 1. Let g(b) = -b**3 - b**2 - b + 1. Let k(h) = -3*g(h) + v(h). Let p(x) = 2*x**3 + 5*x**2 - 5. Give 5*k(m) - 2*p(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let v(l) be the third derivative of 0 + 0*l + 0*l**3 + 8*l**2 + 0*l**4 - 1\/60*l**5. Calculate v(f(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sronogv. Give prob of picking 1 o and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 6, -21486.\nAnswer: -21486, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -128\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let p = 3 - o. Suppose 5*s - 29 = -4*n, p*n = -n - 2*s + 20. Solve -r + 2 = n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -688 - -688. Solve d = -12*i + 3*i + 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 90*i**2 - 1147*i + 94039. Calculate f(89).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2512 + 18*q + q**2 + 10*q**2 + 53*q + 35*q. Let h(v) = -2*v**2 - v + 2. Let b(j) = -g(j) - 6*h(j). Factor b(s).\nAnswer: (s - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1729.8 times -42?\nAnswer: -72651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 19525*c + 100. Let w be t(-4). What is w rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -231*b**2 - 33556*b - 8803. Determine v(-145).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343, 338, 333, 328, 323?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -19*g**4\/24 - 23*g**2. Let u(k) = -k**2. Calculate m(u(c)).\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22033594 divided by -2003054.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = -w + v, -3*w - 5*v + 38 = 0. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-2))\/((-33)\/(-935)). Let u be (-1*1)\/((-1)\/(-85)). Let y = u - m. Which is greater: 2\/87 or y?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1848\/(-6930)*(-5)\/(-14).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/6 + 311*p**4\/6 + 1228*p**3 + 31574*p**2\/3 + 114928*p\/3 + 50336 = 0.\nAnswer: -286, -11, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 33*h - 3084. Calculate w(93).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -797146*y + 14259. Let h(n) = -671*n + 12. Determine -4*c(v) + 4753*h(v).\nAnswer: -679*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 7. Give l(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*v**2\/4 - 7011*v\/4 + 1401\/2.\nAnswer: 3*(v - 467)*(5*v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3678 = 76*l - 229 + 791 for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:13 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 8 = -v + 4, -z + 5*v = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**3\/7 - 62761280*p**2\/7 + 54708024515946*p\/7 + 12157341880644\/7.\nAnswer: 2*(p - 1743369)**2*(9*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 554 and 70358?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Let b = u + 2. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, c: 1, j: 3, q: 1, k: 2, u: 3}. What is prob of picking 1 c and 2 k?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64779181 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2075259511 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is e9 (base 16) in base 8?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 13. Let l be o(9). Suppose 3*w - 4 = -5*y + 6, 0 = -3*w + l*y - 8. Suppose w = 4*c - c - 18. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from vvgvgvv?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 - 0.11. Let b = 15.7 + -2.7. Let p = b - 11. What is the smallest value in p, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64403 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303 - -290. What is the biggest value in -5, -0.1, 8, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*a = 0, 0 = 3*z - 5*a - 2 + 6. Find the first derivative of 15*l**2 + 23*l**z + 0*l**3 - 2*l**3 - 12*l**2 + 101 wrt l.\nAnswer: -6*l**2 + 52*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*y = 4*a - 45, 4*a - 126 = -2*y. Let q(p) = -14*p**3 + p**2. Let m be q(1). Let z = m - -28. Calculate the highest common factor of z and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and 4\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-264)\/86 + 3)\/(3\/2). Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22450 - 1520651266.\nAnswer: -1520673716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129380 is divided by 43082.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 150709*d - 150709*d + 4*d**2. Let l(x) = -64*x**2. Determine l(f(q)).\nAnswer: -1024*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7488252521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.3 (c) -5 (d) 0.002 (e) 1.91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.45 + 22. Let z = -10.44273 - g. Round z to 4 dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75835 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 3*t**2 + 4*t - 3*t in the form s + v*t + m*t**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-33)\/6)\/((-3)\/(-6)))\/1. Let d(h) = h**3 + 12*h**2 + 10*h + 2. Let n be d(x). What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**3 + 75*i**2 + 171*i + 1632. What is a(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -817445 + 16?\nAnswer: -817429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 - 7016*q = 0. Calculate q.\nAnswer: 0, 1754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1900)*-1 - sqrt(1900)) - sqrt(1900)) + sqrt(1900).\nAnswer: -20*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.48 - -2. Let c = 0.08 + t. What is the biggest value in 1\/11, 5, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*y - 2249, 4*w + 2*y - 1456 = 778. Suppose -2*a = -0*a + 44. List the prime factors of w\/55 - (-4)\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -124\/5? (a) -28 (b) -0.4 (c) 10269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -354. Let i = -3247\/11 - f. Let u = -13.5 - 0.5. Is i less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 521 (base 8) to base 6\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2) + (33 - 39) + -17 + 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 + 8 = -11*r - 21 - 763 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -107\/20372 and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 53864658 divided by 1\nAnswer: 53864658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 + 350\/(-72). Let i = p + 5. Let t = -57 - -289\/5. Which is the closest to 1\/4? (a) i (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from {s: 1, k: 5, e: 3, r: 3, z: 1, p: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*x + 5 = 0, -2*h + 0*x + 5 = -x. Let m(c) = c + 13*c**h + 1 - 2 + 0. Is m(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2. Let s = 13 + -3. Suppose -2 = -3*f + s. Let y(d) = 4*d**2 + d**2 - f*d**2 - 2*d**2. What is w(q) + 12*y(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*a + 14, -4*a - 3 - 17 = -2*g. Let y(v) be the third derivative of -v**4\/24 + 2*v**2. Let m be y(-3). Solve z - m*z = g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*y**4 + 2*b*y + 39*b - 2 wrt y?\nAnswer: -4*b*y**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqy when three letters picked without replacement from {y: 2, s: 1, q: 2, b: 5, g: 6}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-73)\/365).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 + 141 + (16 + -10 - (-1 - 1))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864 divided by 16.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*k**5 + 900*k**4 - 4605*k**3 + 2600*k**2 + 1140*k = 0. What is k?\nAnswer: -2\/7, 0, 1, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + (-3 - (-1 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 327698725047\/8155559998910 - -1\/144743278. Let j = b - 6\/955. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/sqrt(360))\/(sqrt(1331) - sqrt(1331)*3))**2.\nAnswer: 1\/5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 20*i - 16. Let m(j) = -1. Let d = -38 - -42. Suppose 10 = d*z + 6. Let p(r) = z*v(r) + 3*m(r). What is the derivative of p(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -70. Let o = -46 + b. Put 1, o, -0.1 in descending order.\nAnswer: o, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 7:36 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 5*m + 18, m = 2*d + 2*m - 5. Suppose -4*q + l - 273 = 0, d - 4 = -3*l. Let y = q - -339\/5. Which is the nearest to -1\/3? (a) 3 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/11 + 40466*z**2\/11 + 7358*z + 40470\/11.\nAnswer: -2*(z - 20235)*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*u**4 - 5 - 2*u**4 + u**4 - u**4 + (-4 + 4 + u)*((3*u**2 - 4*u**2 - u**2)*(12*u + 36*u - 4*u) - 3*u**3 + 2*u**2 - 2*u**2).\nAnswer: -95*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/6 and -79\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -0.5, 1\/2, -1.8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 261592683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 7, q: 5, g: 1}. What is prob of sequence cq?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k + 4*r + 24890, 0 = -2*r - 10. List the prime factors of k.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -60 + 195. Calculate the highest common factor of 315 and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8680, -8703, -8734, -8773, -8820, -8875?\n\"Answer: -4*r**2 - 11*r - 8665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, p: 1, f: 3, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 6*n + 1. Let a be q(6). Let f be 9\/36*-6 - (-11)\/22. Sort f, 3, a, -5 in decreasing order.\nAnswer: 3, a, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5519\/1224 - 161\/36. Find the common denominator of f and 14\/289.\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546032061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3109 or -3104?\nAnswer: -3109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165 + 181 - 19) + 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/9*(-6)\/(-24).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365402.\nAnswer: 2, 3, 227567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11252 + 7417 = -381*p for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = q + 6, 2 - 8 = -4*q - 2*n. Let k be -3 - (q - 0 - 1). Is (-30)\/k*2\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u**4 - u - 2*u**3 + (32*u**3 - 115*u + 115*u)*(52*u - 116*u + 44*u).\nAnswer: -641*u**4 - 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 35235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1134180335\/3152934 - 5\/175163. Let m = n + 2185\/6. What is the common denominator of m and -63\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((1 - (-5 - 0)) + -16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -14078, -0.25, -4?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 18*s - 63. Let q = -5624 - -5627. What is l(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + l)*(-2*l**3 - 2 + 2) + 2*l**2 - 7*l**3 + l**4 - 5714505*l + 95 + 5714506*l + 87 to w*l**2 + v*l**3 + o*l + d + r*l**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 292.\nAnswer: -4, 0.1, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a94 (base 11) to base 10.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millisecond in microseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 10 + 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1184516.363 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516384 is divided by 15181.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -2\/5, 6, 1\/2, -0.181, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39826 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 + 268. What are the prime factors of w?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -6. Let g = -49 - -43.75. Let m = 0.25 + g. Which is the closest to -1? (a) z (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34504 divided by 454\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a - 117 = 0. Suppose f = -w + a, -3*f = 5*w - f - 186. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/9)\/((-2)\/534). Let q = o - -91. What is the smallest common multiple of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v**2. Let o(m) = 11*m**2 + 38. What is b(o(j))?\nAnswer: 1452*j**4 + 10032*j**2 + 17328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 827\/1628 - -14\/37. Find the common denominator of -73\/88 and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1074, 149.\nAnswer: -1074, -3, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1256560225 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 12. Let z be (-18)\/8*(-2 - -6). Let y be q(z). Calculate the highest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*f - 9, f + d - 5 = -3*d. What is the smallest value in f, -1.5, -0.2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0186 times -13589.33\nAnswer: 252.761538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (197\/4)\/(11\/(704\/4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 126\/12*4\/(-6). Let s = z + 11. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21048 divided by -1161.\nAnswer: -7016\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 6072*u**2 - 253260*u + 8. Determine l(42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9900 by -60.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 3 - 3 + 0 + 2*u + 0 + (2*u + 0 + 0)*(4 - 3 + 0) + 0*u - 13*u - 18*u + (-3 + 1 + 1)*(3 + 2*u - 3).\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**3 - 3*q**2 + q + 3. Let j be w(3). Suppose 5*r - 81 = -2*u + u, 5*r + j = 5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5 - 12*f**4 + 16*f**3 + 64*f**2 - 64 = 0 for f.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3727 + 20304. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 80*v + 11. Let f(g) = -37*g - 7. Calculate 2*c(t) + 5*f(t).\nAnswer: -25*t - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-1472 + -8)\/((-13)\/26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*r + 21*r + r**4 + (0*r**2 + r**2 + r**2)*(-2*r - 2*r + 4*r**2 + 5*r) to the form c + s*r**4 + b*r**2 + m*r + w*r**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)*j**(-2))**(-2\/13)\/(j*j\/(j\/(j*j**(1\/2)))*j*j\/j**(-4)*j\/(j**6*j*j)*j*j\/(j*j*j**(1\/6)*j)*j) assuming j is positive.\nAnswer: j**(-16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, -3240 in increasing order.\nAnswer: -3240, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2876 minus 3.288?\nAnswer: -3.0004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 - -0.02. Let r = 0.33 - j. Round r to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 341551777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0593996 millilitres?\nAnswer: 0.0000593996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 22\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -79902460 to the nearest one hundred thousand.\nAnswer: -79900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44629, 44628, 44627, 44626, 44625, 44624?\nAnswer: 44623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6727256 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 477 - -51642?\nAnswer: 52119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 49 = -12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwwbxxxbwwwwbwb. Give prob of picking 1 b and 3 w.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + r = -3 - 8, -4*g + 15 = -r. Let s be g\/(-14) - 254\/(-7). Is s + (-3)\/6*-2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 4 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 + 930*p**3 + 5*p**2 - 2*p - 92 wrt p?\nAnswer: -60*p**2 + 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/84*-1*1\/1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-130)\/(-6) + (-4)\/6. Suppose 5*n - n = x + t, -2*x = 2. Suppose 15 - n = 5*a. Solve -a*s + 3 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1051392 = 27*n + 101*n. Which is bigger: 8215 or n?\nAnswer: 8215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12420\/25 - ((-4)\/20 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7936)\/(-960) + 40\/(-6))\/((-30)\/(-25))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 + 0.02. Let b = 4.06 + f. Let i = 0.6 - -2.4. What is the second biggest value in b, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(832))\/((sqrt(64)\/sqrt(2) - sqrt(32) - sqrt(32))\/sqrt(8)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29158, 57859, 86538, 115183, 143782, 172323, 200794, 229183?\n\"Answer: -2*v**3 + v**2 + 28712*v + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1 - k - 1 - 2*k. Let f be q(3). Let n be (-2)\/(-6) - (-3)\/f. Are n and 2\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-2*d - 2 + 2 + (-5*d + 19*d - 6*d)*(0 + 2 + 0)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9244 + -3.0756. What is the fifth smallest value in 0.01, y, 2, -2\/9, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 8:51 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-2 - -7) + 20 + -181 + 43.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -41829 < -41834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72, -111, -176, -267, -384, -527, -696?\n\"Answer: -13*v**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1252?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*g + 32, b - 8 = 2*g + 10. Let o = -595 - -595. Sort g, 1, -5, o in descending order.\nAnswer: 1, o, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-36)\/224. Which is the smallest value? (a) 0.6 (b) l (c) 1\/2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 200986*q**2 - 5426621*q - 13. Determine b(27).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 955 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8838 is divided by 1459.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2200*v + 35. Is k(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7. Let t(h) = -h**2 - 8. Let r be (2\/(-3))\/(2\/18). Suppose 3*j - 9 = -0. Suppose -3*m - 4 = 2*d, m + j = d - 2*d. What is d*t(s) + r*v(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004399064 to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k + 6. Let x(t) = -206*t**3 + 5*t**2 + 4*t - 8. Let u(j) = -j**3 - j**2 - j + 1. Let c(l) = k*u(l) + x(l). Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996040 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9240201609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m - 1. What is the units digit of c(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**2 + 84 - 35 - 21 - 39.\nAnswer: -17*u**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68736 divided by 34368.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-2)\/(-3))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 27801502*x - 386461756728002.\nAnswer: -(x - 27801502)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*b - 3*s, -38 = -b - 5*s + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/6*18\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1273024554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0*w - 10*w**2 - 3\/8*w**4 + 0*w**3 + 0*w**5 + 0 - 1\/20*w**6. What is the second derivative of o(l) wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5852 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -321081 = -321081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -593*x**8\/112 + 513*x**4\/2 + 37*x**2 + 3*x - 8. Find the second derivative of h(p) wrt p.\nAnswer: -35580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 38. Let b be t(10). Suppose -2*h + 0*s = -2*s - 14, 0 = -3*h - 3*s - 3. Suppose h*o + 17 = 35. What is the highest common divisor of b and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + 9. Let i = z - 58.8. Let t be (-159)\/108 - (-2)\/9. What is the second smallest value in t, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-9)*6\/(-4). Let n = 3 + t. Let r be (-33)\/22*8\/(-54). What is the smallest value in n, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.1 - 33.1. Put -1\/3, -0.013, 3, s in descending order.\nAnswer: 3, -0.013, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -1 + 0 + (sqrt(176) - (1 + 0 + sqrt(176) + sqrt(176))))**2*-4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/379 - -1819\/14402. Let i = -111\/266 + d. Let n(s) = s**3 + 5*s**2 - 6*s. Let z be n(-6). Which is the smallest value? (a) i (b) 3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**2*q**2 + 868*p**2*q*y - p**2*y + 2*q**2*y + 16*y - 19 wrt p?\nAnswer: -4*p*q**2 + 1736*p*q*y - 2*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*f + 603854 + 28401, 0 = 3*s + 2*f - 632263. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 4*a, 10*a = 5*x + 14*a + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/43, 5, -51.7.\nAnswer: -51.7, -2\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1339 times -9\nAnswer: 12051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(21\/(-7)))\/((-6)\/(-8))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.4, -3061, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, 4, -1\/5, 102?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/21 - -2 - (-2185)\/1330. Let d(r) be the second derivative of 10*r + 0 - 1\/6*r**3 + u*r**2. What is d(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02629362 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 532151.9ml?\nAnswer: 532.1519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -360*z - 513. Let c be j(-2). Solve -228 = 7*g - c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 1. Let x be (-6)\/(-4)*32\/48. Let j be (x + 0)\/(-22 - -19). Which is the third biggest value? (a) g (b) j (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*o - 30, -4*o + 10 = 3*a + 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-8) - (-8)\/1. What is the remainder when 5 is divided by (-40)\/(-16)*6\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 25, 43, 79, 139, 229, 355?\n\"Answer: n**3 - n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + p - 11 + (-1 + 1 + p)*(-2 - 2 + 5) + 0*p + 3*p - p)*(-3 + 4 + 0).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + 224\/(-24). Let n = -2 - c. Solve 0 = -2*m + 2 - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**4\/24 - 5*y**3\/6 + 6*y**2. Let g be q(0). Let t(m) = m**3 + 4*m**2 - 3*m + 3. What is t(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5042.\nAnswer: 2, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = i - 3, -3*i + 224*n + 13 = 229*n for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q**2 + 38*q**2 - 12*q**2)*(q**2 - 2*q**3 - q**2).\nAnswer: -30*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3947\/4 - 987. What is the closest to y in -0.12, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -48 + 14 - 2*u + 16 + 14*u**2 + 15. Let k(t) = 9*t**2 - t - 2. Calculate 8*k(i) - 5*y(i).\nAnswer: 2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/9 - 185482*k**3\/9 + 1483952*k**2\/9 - 2967968*k\/9.\nAnswer: -2*k*(k - 4)**2*(k + 92749)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018021402 rounded to seven decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -702.91 - -698. Let j = 0.09 - t. Which is the third smallest value? (a) -2\/7 (b) 0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 + d**5\/60 - d**3\/6 - d**2. Suppose b = -3*u - 11, 3*u = -3*b - 0*b - 3. Let p = b + -2. Give l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -83, -67, -35, 19, 101, 217?\n\"Answer: q**3 - q**2 + 2*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evzziivhzehpihzeihih. Give prob of sequence hiv.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12)*2*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64335.64 decades?\nAnswer: 7720276.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/4 (b) 11 (c) -10.9 (d) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n + 10. Is 4\/n - 2709\/(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -17*k - 312. Is (0 + 291)*(-8)\/k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9883 + x - 9886 + 0*x - 119*x**3 - 2*x as t + o*x + w*x**2 + a*x**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400300 rounded to the nearest ten thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - f - f)*(-f - f - f)*(7*f - 4*f + 5*f) + f - f + f**3 to b*f**3 + d*f + k + z*f**2 and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 9*m + 6. Let g(h) = -11*h - 4. Calculate the remainder when g(-3) is divided by y(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10296288 is divided by 379.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1685261 or -1685259?\nAnswer: -1685259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.307 - -11.993. Let n = y + -12.7. Which is the nearest to 1\/4? (a) n (b) 3\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyiznyztyynininnnv. What is prob of picking 1 y, 1 t, and 2 n?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g - 6. Let c(f) = f - 1. Determine -5*c(k) + n(k).\nAnswer: 6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5\/12*u**3 + 20*u + 1\/8*u**5 + 15\/4*u**2 + 0 - 5\/8*u**4. Factor z(h).\nAnswer: 5*(h - 3)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2597\/106760 - 1\/1256. Let m = o + 164\/255. Find v, given that m*v**3 + 0*v**2 - 2\/3*v + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 257*v**2 + 273*v**2 + 1 - 3*v + 1 - 501*v**2. Give q(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464849 and 13937.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*(-3 - -453). Let u be (-4)\/1 + (-360)\/v. Let x be (4\/(2 + 0))\/2. Is u < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1465071, 2930129, 4395187, 5860245, 7325303, 8790361?\n\"Answer: 1465058*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Suppose -w + 6*w - 100 = h. Calculate the smallest common multiple of 16 and w.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((2*(sqrt(637) + 0) - sqrt(637)) + 3 - (0 + sqrt(637)*5 + 4))*3)**2.\nAnswer: 1008*sqrt(13) + 183474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 35*y**2 - 71*y + 30. Determine r(-14).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 0.1 (c) -4 (d) -831 (e) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 862, 1293, 1724, 2155, 2586?\nAnswer: 3017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8\/(28\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-40))\/(1\/(-24)*6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iih when three letters picked without replacement from {i: 4, s: 5, h: 8}.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7364 + 471297\/64. Sort -3, s, 2.\nAnswer: -3, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = -33. Let h = k - 10. Let u = 84 + h. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(-3)\/(-10)*(-20)\/6. Suppose v + m*v = 5275. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - l**3 - 3*l**2 + (19*l**2 - 4*l**2 + 26*l**2)*(1 - 1 - l).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2*a + 0)*(3 - 3 - 2) - 19*a - 6 + 6 - 3 + 3 - a + (3*a - 2*a + a)*(-5 + 2 + 2))*(-a**2 - 6*a**2 - 6*a**2).\nAnswer: 234*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 25476624.\nAnswer: -127383120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/4 + (-2700)\/(-144) and 3\/4 - (1650\/24)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2614 by -15604.\nAnswer: 1307\/7802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 - 9*z + 13. Let m be f(8). Let r be m*(-2)\/55 + 76\/(-66). What is the third smallest value in -1\/5, 12, r?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/46 and 854\/(-1232) - (-2)\/(-11).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 35. Suppose -4*k + h = -0*k. Solve -2*n = 3*t + 3, 0 = k*t - 2*n - 2*n + 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80672, 158596, 236518, 314438, 392356?\n\"Answer: -y**2 + 77927*y + 2746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023017924 to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 48424289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/4)\/(d\/(d**(-3\/13)\/d))*(d**(-14)*d)\/d**11 assuming d is positive.\nAnswer: d**(-1351\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106819.\nAnswer: 37, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3344760 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 12*j - 612 = 0. Calculate the least common multiple of 120 and j.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 360, 5, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 542 - 672 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 283*o + 947. Let u be z(-73). Does u = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7180 and -27374.\nAnswer: -196545320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 7)*(-2*r + r + 2*r)*(-r + 2*r + r)*(5 - 4*r + r + 2*r + (1 + 2 - 2)*(0*r - r + 0*r) - 3 + 3 + r).\nAnswer: 32*r**3 - 160*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 1)*(s**3 - 1 + 1)*(-2*s + 2 - 2).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428989 or -254?\nAnswer: -428989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3255 and -128562?\nAnswer: -418469310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 1250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/8*(-8)\/(-2). Suppose -i = -4*i. Suppose 8*c + i*c - 24 = 0. Sort o, 4, c.\nAnswer: c, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8559, -8683, -8807, -8931?\n\"Answer: -124*u - 8435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 504 + -450. Suppose -v*f = -64*f - 50. Let z(m) = m + 7. Give z(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18*36\/(-1080))\/((-6)\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 24 = t. Let f = -602.582 + 602. Let a = -0.562 - f. What is the closest to t in -2\/7, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230 - 1219. Calculate the greatest common factor of r and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37186280.\nAnswer: 2, 5, 409, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 11:11 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*y = 7, 2*s + 5*y = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04991*-1.078.\nAnswer: 0.05380298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -60 - 4598637.\nAnswer: -4598697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w**2. Let q be p(-5). Suppose 2*m - m - 54 = q. Let t = m + -17. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*n**5 - 894*n**4 - 3978*n**3 - 7776*n**2 - 5427*n + 486.\nAnswer: -3*(n + 3)**4*(25*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*c - 0*l - 40, -2*c = -2*l. Solve 3 - c = 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 276860*u**2 - 276866*u - 553724 = 0.\nAnswer: -138431, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p**3 - 83*p**2 - 8*p - 2. Let q(f) = 12*f**3 - 73*f**2 - 7*f - 2. Determine -6*q(z) + 5*w(z).\nAnswer: -7*z**3 + 23*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvvfjjvjvjjvfjvfffv. Give prob of picking 1 j and 1 f.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x**3 - 5*x**2 + 6*x + 3. Let u(g) = 4*g**3 + 3*g**2 - 3*g - 2. Let k = 147 + -152. Suppose 1 - 25 = 8*n. What is k*u(t) + n*d(t)?\nAnswer: t**3 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1426, 1527, 1640, 1771, 1926, 2111?\n\"Answer: z**3 + 94*z + 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 9 + 979*t - 960*t.\nAnswer: 19*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 11*v**2 - 2*v + 22. Let a be s(11). Suppose a*u + 15 = 5*u. Solve -2*q - c + 4*c + 9 = 0, -3*q - u*c = 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9*3)\/(1\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + 5*l**2\/2 - l - 2. Suppose 19 = b + 4*i, -5 = 5*b + 5*i - 10*i. What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 437 - 10*k + 4*k + 225.\nAnswer: -6*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 27. Let l = r - -15.6. Let j = -2 + 1.8. Sort j, l, -4.\nAnswer: -4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f**4\/8 - 962235*f**3\/8 - 33474999*f**2\/4 + 13505463*f\/2 - 1354395 = 0 for f.\nAnswer: -70, 2\/5, 12899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -90. Let h = -0.01536 - -0.04536. What is the second smallest value in h, 4, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 502 = 2*f. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -71*i**2 - 3*i - 57. Let h(r) = 142*r**2 + 5*r + 114. Let o(f) = -5*g(f) - 3*h(f). Differentiate o(j) with respect to j.\nAnswer: -142*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 36 = 60 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23782 and 16445.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24377 (base 9) to base 8.\nAnswer: 37737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3 + 9. Suppose -m*o + 5*o + 52 = 0. Let u = o + 36. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -0*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 3) to base 9\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-1)*h)*h)**21*(h*h**(-2\/9)*h)**45*(h*h*h*(h**9\/h)\/h)\/(h**7\/h)*(h\/h**(1\/4))**29 assuming h is positive.\nAnswer: h**(591\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 8*d**2 - 11*d**2)*(d - 3*d - 4*d) - 3*d + 3*d - 2*d**3 + 13*d**3 + 139*d - 139*d.\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let m(q) = -3*q**2 + 9*q - 9. Let l(c) = -5*m(c) - 45*t(c). Let n(p) = -2*p. Give l(n(v)).\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -234?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 1)*(1 - 5 + 1 + 3*v) in the form c*v + d and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:31 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 126. Determine u(11).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 12*c**2 + 34*c - 5. Let p be l(-5). Let b(a) = -a**3 - 5*a**2 - 3*a + 5. Suppose -z - 3 = 1. Let q be b(z). Solve 3*u + q - 4 = p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4))**(-26) assuming h is positive.\nAnswer: h**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 1623, 5067, 11771, 22821, 39303, 62303?\nAnswer: 92907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780585 and 2340?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2187)\/2916)\/((-243)\/6)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.4 (b) 1\/15 (c) 406\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4\/5 - 4*a**3 - 28*a**2\/5 + 164*a\/5 - 24 = 0. Calculate a.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a week?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -26. Let m be 1*(3 + c) - -1. Let z be 200\/(-32) - (m + -2). Which is bigger: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaiaiiaiai. Give prob of sequence iaaa.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 21*u - 149. What is the hundreds digit of w(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24109.62 * 2.1\nAnswer: 50630.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - f**3 - 11 + (-f**2 + 2*f**2 + 0*f**2)*((-3*f - 3*f + 8*f)*(0 + 5 - 4) - f + 11*f + 5*f + 17 - 17 - 2*f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*o**2 - 23*o**2 - o + 2*o - 6*o**3 - 14*o**3 to the form w*o**2 + f*o**3 + m + v*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -19*m**8\/42 - m**7\/70 - 41*m**5\/6 - 425*m**2. Find the third derivative of u(b) wrt b.\nAnswer: -9120*b**2 - 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. Suppose 5*a - 7 + 2 = c. What is the highest common divisor of 3 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**2 - 14 - t**2 + 53 + 4.\nAnswer: -5*t**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 27*u - 180. Let y be s(7). Let k be 6\/y - (-5 - -5). Which is the closest to 3? (a) k (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 147 + 95. Let w be (4\/33)\/(34\/34833). Let r = w + f. Find the common denominator of r and 7\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 - 8)*((2 + 2 - 5)*(-u**2 + 3*u**2 + 0*u**2) + 0*u**2 - 4*u**2 + 3*u**2 + u**2 - 3*u + 3*u).\nAnswer: 34*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 38 = j. Suppose q - 4*u = j - 3, -2*u = -q + 6. Is 62\/6 - q\/(-12) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*a = -2*l, -3*l = 3*a. Suppose l = s - 1 - 1. Suppose s = -5*n + 7. Which is bigger: 3\/10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - a5d?\nAnswer: -a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 - 79. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/1120 + p**6\/240 + 13*p**3 + p**2 + 216*p. Let v(o) be the second derivative of c(o). Find x such that v(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-4)*t))\/t**(-2\/19)*(t**0\/t*t)**11 assuming t is positive.\nAnswer: t**(-93\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449555.5s to microseconds.\nAnswer: 449555500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + j - 5*j)*(1 - 5 + 5) + (4 - 3 + 1)*(4*j - 2*j + 0*j) - j + 4 - 4 + 3*j - 10*j + 33*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 12605*f**3 - 12524*f**3.\nAnswer: 81*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 348*h**2. Let v(i) = 2*i - 17*i + 7*i + 7*i. Give v(t(s)).\nAnswer: -348*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*z + 683*z - 475715 = 7582*z + 202395 for z.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 + -39. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27402539 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1243234 (base 5) to base 10.\nAnswer: -24819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349135355*t**2*x + 2*t*x - 189902141 wrt t.\nAnswer: 698270710*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -92*w + 533. Let t be l(4). Sort 3, 5, t, 1 in increasing order.\nAnswer: 1, 3, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*b + 1301 - 235 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -43.8*-1.312632\nAnswer: 57.4932816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62602363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/2 (b) -2\/3 (c) 125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f**2 + 3*f + 4. Let s be h(10). Let t = -3234 + s. Calculate the remainder when t\/(-24) + (-4)\/(-24) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 51 + 19*s + 15*s - 16*s + 9*s**3 - 39 in the form w + b*s**2 + a*s + n*s**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4130236 divided by 473?\nAnswer: -8732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32548 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-104) - (-930)\/80. Solve -b*q - 48*q = 540 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156141018 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19240 by 773.\nAnswer: 19240\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - -1388 - (0 - 4). Suppose 6*u + 133 = i. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263466, -2526471, -3789476?\nAnswer: -5052481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -110101101100011110 (base 2) to base 4\nAnswer: -311230132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**5\/10 + s**4\/2 - 8*s**3\/3 + 15*s**2\/2 - s. Let a be w(8). Suppose 10*t = -a + 5105. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15) - -1)*(-10)\/(-8). Let i be (-14)\/(-70) - (-514)\/30. Let t = 18 - i. What is the third smallest value in u, -7, -2, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Let w(h) = -h**3 + 6*h**2 - 3*h - 3. Let t be w(j). Solve -2*c + 3 = y - 2, 0 = 2*c + 3*y - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1865 + -1868. Sort 3\/17, -1, h in descending order.\nAnswer: 3\/17, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3135, 6260, 9385, 12510, 15635, 18760?\nAnswer: 21885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 less than -16.4?\nAnswer: 70.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -48, 136, -5, 2 in descending order.\nAnswer: 136, 2, 1, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 + 2 + y**3 - y**2 - 10*y**3 to s + t*y**2 + p*y**3 + o*y and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327241 to the power of 1\/2, to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1880007 is divided by 48.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 9612.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65145 = 103*j - 70913 for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -11*r + 27. Let x(a) = -6*a + 13. Let u(c) = 3*p(c) - 5*x(c). Let y = 7 + -3. Let b be u(y). Solve 3*t - 2*o - 1 = -2, -t - b*o - 19 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4323586?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14214\/20041 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-4)\/y)*(y*y**(1\/3)\/y)\/y*y)\/(y\/((y\/(((y**(-1)\/y)\/y)\/y))\/y*y))**15)**2 assuming y is positive.\nAnswer: y**(392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 2, x: 4, f: 4, n: 3}. Give prob of sequence nnf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4225 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**4 + 4116*n**3 - 5250*n**2 - 1547508*n + 7352415 = 0. What is n?\nAnswer: -1373, -21, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35556 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38\/3 + 116\/9. Let y = 2 - 2. Let f be (3\/(-10))\/((-2)\/4). Which is the closest to -2\/7? (a) f (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003566 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 3*o, -4*t + 2 = -5*t + o. Suppose -5*b + 2*d = 1, -d = t - 5. Is b <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*c - 185*c**3 + 166*c + 10*c**3 + 170*c.\nAnswer: -175*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49363199.565 minus 3?\nAnswer: 49363196.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 794 = 7*y + 862. Suppose 0 = 5*j + k - 42, j - 3*k - 18 = -0*j. What is the highest common factor of y and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 1614*t - 19473. What is h(12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4073, -3 in increasing order.\nAnswer: -4073, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j - 25*j + 84 = 0. Let q be 8\/14*2 + 3\/j. Let g(k) = 32*k**3 - k**2. What is the remainder when 90 is divided by g(q)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 680*x + 23120.\nAnswer: 5*(x - 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4*2)\/(-8 + -7 - -19).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 37) + 0 + -15 + (26 - 8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384 - -1917\/5. Suppose 0 = 24*p - 5*p + 114. Sort p, x, -5 in increasing order.\nAnswer: p, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + p)*(6 + 0 - 1) - 2*p - 3*p + 4*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04102514509 to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-160) + (-210)\/1050?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -87*u**2 - 8*u + 19. Let n(o) = 88*o**2 - 16 - 5 + 15 - 11 + 10*o. Let d(g) = 5*m(g) + 4*n(g). Differentiate d(y) with respect to y.\nAnswer: -166*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a + 55. Let w be o(-7). Let b(c) = -10*c - 1. Let h be b(w). What is the highest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19*b + 6. Let l(s) = 665*s - 209. Let r(y) = 6*l(y) + 209*t(y). Let q(c) be the first derivative of 2*c**3\/3 - 15. Calculate r(q(a)).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/20*-5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose -o*c - 10 = -5*c. Suppose 3 = -c*u - 2*i + 5, 0 = -3*u + 2*i + 14. Solve -2*l + v = 2*l + 18, 2*l = u*v - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1781 and -214?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/70)\/(22\/(-770)*10)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9b3a (base 12) to base 10\nAnswer: -17182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.066 - 25939639\nAnswer: -25939639.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 5*i. Solve -v - 4*v - 20 = i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 8 = -8. Let u be (-70)\/(-22) + (-12)\/66. Solve -4*y + 5*w - 5 = 0, -u + v = 5*y + 5*w for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10292, 10227, 10156, 10073, 9972, 9847?\n\"Answer: -t**3 + 3*t**2 - 67*t + 10357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -23 - (-1697057 - 23)\/(-11). What is s rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {w: 2, h: 3, b: 9, k: 3, y: 2, x: 1}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 28 = 4*m, 65 = 2*t + 3*t + 5*m. Suppose 4*o - t*o - 107552 = 0. Let d = 102112 - o. What is d rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.206 (b) -0.94 (c) 0.4 (d) 2\/9 (e) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 24 = -152. Let o = 46 + l. Solve 0 = o*t - 2, -k = -5*k + 3*t - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + j + 6 = 4*s, -3*s - 2*j = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a week?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311145, -622280, -933415?\nAnswer: -1244550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-9 - -64) + -28?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 999617822 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i. Let c(p) = 0 + 121272*p + 0 - 131123*p. Give d(c(f)).\nAnswer: 19702*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184582.\nAnswer: 2, 41, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -201330 (base 5) to base 9\nAnswer: -8773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c. Let r(k) = 23375*k + 748. Let i(v) = -187*v - 6. Let u(l) = 374*i(l) + 3*r(l). Determine n(u(f)).\nAnswer: 1122*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1926\/13 + 148. Let r = 276030233\/239300590 - -1\/1113026. Let s = r - -2\/43. Which is the smallest value? (a) -0.4 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -99*k**4\/2 + 14253*k**3\/8 - 1620*k**2 - 27819*k\/8 - 105\/4 = 0.\nAnswer: -1, -1\/132, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 p when four letters picked without replacement from ipiiipbbjb?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56584*s**5 + 26218*s.\nAnswer: -1131680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 u, and 2 k when four letters picked without replacement from {k: 4, u: 1, z: 1, t: 1, q: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/4)\/(1\/((-336)\/36)). What is the highest common factor of a and 1701?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z + q + 7, 3*z - 19 = 4*q. Suppose 5*u + z = 0, 0*a - 5*u + 50 = 5*a. Solve -n - a = -2*g, -g = 5*n - 6*g + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6793145 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 3455610.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -91. Suppose -610 = -6*h + k. List the prime factors of h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1124121330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 14330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 1.99. Let p = 101959 - 101958.85. What is the nearest to 6 in p, 1\/4, v, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-116)\/10)\/((-68)\/(-170)). Let a(b) = -2*b**3 - 58*b**2 + 3*b + 93. Determine a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4458*j**2 - 53485*j - 125. Calculate z(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 50 = -6*v. Sort v, 2, 9, 0.\nAnswer: v, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 25 - 77 = 0. Factor 27*t + x*t**2 - 1005 + 15*t + 1044.\nAnswer: 3*(t + 1)*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2 - 2) + 1)*(-4 - -6). Suppose 0 = -5*u + 2*j + 10021, z*u + 0*j = 4*j + 4018. Let k = -1116 + u. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -738 + -4?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.900853 - 0.901. Round n to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 811218.4 days?\nAnswer: 1168154496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, and 1 x when three letters picked without replacement from {y: 4, u: 2, x: 1, d: 2, q: 3, s: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221736 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:41 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -12. Let t = v + 10. Which is the third smallest value? (a) 0.2 (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 9 = 5*a + 4*v, 0 = 4*a + 2*v - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**5\/60 - d**4\/6 - 25*d**3\/3 + 12*d**2. What are the prime factors of j(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.5 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*b - 400 = 0, 0 = i - b - 129 + 49. Let x be 4 - 3 - i\/10. Which is smaller: x or -2\/57?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*752\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7 less than -41?\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3)*((3 - 7 - 10)*(-4 + 4 - g) + (3 + 4 - 5)*(-6*g + 3*g + g)) to p + n*g and give n.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4356 + -3180. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 34*n**2 + 403*n - 16. Let f be x(-12). Solve f*r = 62 - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a2702 (base 11) to base 13.\nAnswer: 7a1567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3327 + -29730815005.5?\nAnswer: -29730818332.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*3*(-1)\/2. Suppose 2*i = -30 - 22. Let n = a - i. What is the highest common divisor of 187 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051668041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34560)\/(-4800))\/((-3)\/(-5))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-14))\/(24\/14) + 33\/18. Factor 1\/9*p + 0 + 1\/9*p**4 - 1\/9*p**b - 1\/9*p**3.\nAnswer: p*(p - 1)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 68, -2 in descending order.\nAnswer: 68, 7, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(1 + (((sqrt(136) + sqrt(136)*2 + sqrt(136) - sqrt(136))*2)\/sqrt(8) - -4*(sqrt(833)*-1 - sqrt(833)))).\nAnswer: -150*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576781?\nAnswer: 1576781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 138826 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293126 a multiple of 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eekkeksskeskkskk. What is prob of picking 3 k and 1 e?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 - 3*o + 3. Suppose -2*t + 24 = -2*v, 2*t + 2*v - 5*v - 28 = 0. Suppose -2*p - 2 = -t. What is the remainder when a(p) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26\/7 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -111. What is the closest to -5 in p, 4, 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 28 = 2*m. Suppose -4*q + m = -0*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 5. Suppose -14*p = -13*p + 20. Let l = 27 + p. Give k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2227510264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20*l - 54. What is z(7)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -100*c**2 + 696*c - 5. Determine k(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(40\/435). Let w = b - -7. Let t = 1.6 - 1.4. What is the smallest value in 1, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + k - 55. What is o(0)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16705 is divided by 2354?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + -5 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 764\/595 - 10\/119. Let d = u + 2\/15. Let l = -112.5 - -112.2. Sort -4, d, l in decreasing order.\nAnswer: d, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049084643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*t - 128 = 0, -5*y - t + 176 = 16. What is the remainder when 94 is divided by (-73 + 78)*(y\/10 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 59 - 219. Let b = d - -46. Suppose 2259 = b*s + 885. List the prime factors of s.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1512.\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 + 1 - (525 + -514)) + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 5)*45\/(-2). Suppose -2*y - 3*y = 4*b + x, 0 = -2*b + 2*y - 72. Let a = -21 - b. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 0. Let o = 7 + -5. Suppose -3*g = -3*m + 48, -o*g + 35 + 5 = y*m. What is the greatest common divisor of m and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3 times -1.20823?\nAnswer: 6.403619","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 16*k**2 - 15*k + 37. Calculate n(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(125) + 0)*-5 + -4*sqrt(125)*2*-5)*3)**2.\nAnswer: 3150*sqrt(5) + 1378134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.5 (c) 0.1 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 549 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**4\/8 - 2*a**3\/3 + 4*a**2. Let u(j) = 4*j + 5. Give -6*f(i) - 5*u(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4298 and 92714.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 68*l + 549. What is r(20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5997906.\nAnswer: 2, 3, 17, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2 - 0. Let j be (-2)\/4 + 45\/10. Let q = r + j. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*z + 54, -3*n + 0*n = z - 41. Calculate the highest common divisor of n and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 36) + 16 + (3 - 2) + -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199953356 divided by 4?\nAnswer: 299988339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 458?\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 = -32. What is the lowest common multiple of 10 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*o - 440 + 34 = -49 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 - -54. Let w = p - -65. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -3\/152 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 3. Let o(y) = 4*y + 5. Let b be o(-2). Let i be k(b). Let s = i + 35. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 91. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/d)**(-4\/3)\/((d*(d*d\/(d**(-2\/9)\/d))\/d)\/(d\/d**0))*(d**(1\/4)\/d*d)**(-11\/2)\/(d**(2\/5)\/d)**0 assuming d is positive.\nAnswer: d**(-1333\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -2*u, 5*u - 4*x = -5 - 3. Let s(i) = -i**2 + 4*i - 4. Let t be s(4). Let g be t\/10 + (-6)\/(-15). Sort 3, g, u in descending order.\nAnswer: 3, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-7) - 75\/(-175))*2. Let x be (8\/d)\/((-3605)\/360 - -10). What is the greatest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 175 - 556?\nAnswer: -361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93*g**2*z + 1380*g**2 - 13*g*z + 8969*g wrt g?\nAnswer: 186*z + 2760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18692 + -411127\/22. Let t = -1083 + 115883\/107. Let j = -103\/214 - t. Calculate the common denominator of h and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3483*q**4*x**2 - q**2*x**2 - 130*x**2 + x wrt q?\nAnswer: -13932*q**3*x**2 - 2*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + 5127181601.\nAnswer: 5127181666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(3*6\/(-27)) - -12. Suppose -4*k = 2*y - 18, -4*k = 2*y - k - d. Solve 0 = y*v - 0*o - 5*o - 16, -5*v - 2*o = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 28*x + 136 = 0, 4*v - 2*x = 10849 - 10745 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 101 = -3*g. Suppose a = -15 + g. Suppose 0*z = -2*z + 4. Solve p - a*r - 9 = 0, -3*p + 25 = z*p - 5*r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -35*n. Let c be k(-1). Solve 10 = 5*y + c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21156.\nAnswer: 2, 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-16)\/(-18 + 66))\/((-2)\/157362) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g*g\/g**(1\/50)*g))*g)\/(g*g**(-5\/17))*g\/g**(-14\/9)*(g\/g**(-35))\/g*g assuming g is positive.\nAnswer: g**(327647\/7650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2 - 29*m + 25. Let f be u(4). Solve -2*h = 4*z - 22, -h - f*z + 5 = -6*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Suppose 2*h + 10 = f*o, 3*o + h - 2 = 1. Suppose r + 0*r - 29 = o*k, -2*r + 67 = 5*k. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4125028416.\nAnswer: 2, 3, 1531, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1896, -1856, -1810, -1758, -1700, -1636, -1566?\n\"Answer: 3*o**2 + 31*o - 1930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*p**3 - 39*p**2 + 45*p + 478313 with respect to p.\nAnswer: -33*p**2 - 78*p + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -k + 1455, -33*s + 31*s + 4297 = 3*k. Is 1435 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 1.9 (c) 3 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25. Let p be 0 - ((-4)\/1)\/1. Suppose -h - p = -j*h. Let f(z) = z**3 + 4*z**2 + z + 4. Determine f(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -218, -947, -2190, -3971, -6314, -9243?\n\"Answer: -4*g**3 - 233*g**2 - 2*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3836*t = -2*z + 3838*t + 16, 2*t = -3*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -90, -123, -192, -315, -510, -795?\n\"Answer: -3*t**3 - 12*t - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 31. Let f(i) = -i**2 + 31*i - 189. Let w be f(8). Let n be l(w). Solve -3*h - n = -4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 6*q**3 + 3*q**3 + (0 - 1 + 7)*(-12*q**3 - q**3 + 2*q**3) + q**3 + q - q + (3 - 3 + q**2)*(-1 - 2*q + 1) as c + o*q**3 + l*q + r*q**2 and give o.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 674 + -5770. Let k = y + 10314. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 - (-40)\/(-140). Suppose n = 11*x - 27*x - 144. Is -15 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4332 is divided by 2132.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(1\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 34*r**2 + 69*r - 104. Determine w(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/18 - (3 - 5 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d - 5. Let c be a(-2). Suppose 2*x + 0*x - c*x = 0. Solve x*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -5*a + 15, -2*a + 27 = c + 24 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 222 + -153. Let t = 100 - z. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 816300, 816269, 816234, 816195, 816152, 816105, 816054?\nAnswer: 815999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-30))\/((-12)\/(-18))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -18. Let t = 25 + -45. Let c = o - t. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 4. Let k(i) be the third derivative of 9*i**4\/8 - i**3\/6 - 20*i**2 + 26. Is k(p) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -189638 (base 16) to base 8\nAnswer: -6113070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12406500 = -17*i - 13*i. Let t be i\/(9\/(-720)*-6). Round t to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*x + 1373*x - 692*x + 1540 = -84 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68479 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/45*-3 + 13\/5. Find the first derivative of n*k**2 - 14 - 12*k**2 - 4 wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**8)**45*(v*v**(-39)\/v)\/(v*v\/v**(-21)*v*v) assuming v is positive.\nAnswer: v**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**3\/3 + 2381148*w**2 - 1063201028672*w + 271064653384960\/3 = 0?\nAnswer: 85, 892888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 7*i + 3. Let t be m(6). Suppose -15 = 5*d, 18 + 15 = 3*z - 5*d. Calculate the greatest common factor of t and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 24 (c) -0.6 (d) -8 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzpp when four letters picked without replacement from tptttptztpztvpzvt.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2041*q**3 - 122 + 371 - 124 - 125.\nAnswer: 2041*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22234456, 22234470, 22234484, 22234498, 22234512, 22234526?\nAnswer: 22234540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -34, -29?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 2 + 2)*(-1 + 2*o + 3*o - 10*o) to i + k*o**3 + y*o + j*o**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o - 18. Let l = 46 - o. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 745, 3072, 6939, 12334, 19245, 27660, 37567?\nAnswer: 48954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(102 - 102 - 105*s)*(-3*s**4 + 2*s**4 + 2*s**4).\nAnswer: 210*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -199, -5, -1, 202?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + t + 6. Calculate c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37568, 67461, 97354, 127247, 157140, 187033?\n\"Answer: 29893*y + 7675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 - 2*o**3\/3 + o**2. Let x = 90 - 84. Let i be d(x). Solve -i = g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-99) - (-16)\/(-24). Is g < 113\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) -3 (c) 4\/5 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + (-1)\/(2\/(-14)). Suppose -8*k + v*k - 230 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393 - (7 + (-4 - 3)).\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 16*w - 21*w - 14 + 34, 5*x = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/15 - (-234)\/54. Solve -z*c + 5 = t - 7, 0 = 5*c - 4*t + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3144\/7 - -448. Let p = t - -10\/21. Which is the second smallest value? (a) 7 (b) p (c) -0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 7) + -4 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180554\/51 - 10453\/3. Let n = 75927\/1360 - c. Calculate the common denominator of n and 79\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(2*a + 0*a - 4*a) + a - 3*a - 2*a + (-2*a - a + 5*a)*(3 + 2 - 4) + 5 - 5 - 5*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 12 = -19*u. Suppose u*w = 9*w - 6. Suppose 4*t - 418 = q, -t + w*t + 2*q = 109. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*i - 2*p - 126280, 63134 = 2*i + p. Is i*6\/108 + 2\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 + -260 + 2 + -14 + -4 + 19?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 5. Let q be 0\/(s*(-3)\/9). Let t be q + -4 + (18 - 16). Is t <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136719.\nAnswer: 3, 11, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 b when two letters picked without replacement from {d: 2, z: 2, b: 3, f: 1, y: 3, t: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 150387596 and 3.\nAnswer: 451162788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 2)*(-5*n + 3*n + 3*n) + 133*n + 356*n + 55*n)*(-n + 2*n - 2*n).\nAnswer: -545*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25723, 52229, 78735, 105241, 131747, 158253?\n\"Answer: 26506*o - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889, 863, 839, 817, 797, 779?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g + 10 - 11 - 9. Let u = 73 + -51. What is the remainder when u is divided by x(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11038.299 + -11048.0990049. Let u = -56.8 + 47. Let c = s - u. What is c rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 3.\nAnswer: 256\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 15 - 33 = 10*x, -x - 17 = 2*c - c + 4*x for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -30\/311 (b) -5 (c) -2\/429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36\/((-1368)\/(-418))*(-42)\/(-33)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a centimeter in millimeters?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -590, -1203, -1810, -2381, -2886, -3295, -3578, -3705?\n\"Answer: 5*y**3 - 27*y**2 - 567*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 17 = 2*w. Find the third derivative of q**5 + 0*q**2 - q**2 - q**2 + 3*q**w wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + sqrt(110)*-1)*4)\/(1*sqrt(160) + sqrt(160) + sqrt(10)))**2*6*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-6666)\/44440).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 784, 1899, 3460, 5467, 7920?\nAnswer: 10819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7 = -u, 31*u = -g + 30*u + 3. Solve -5 = -g*d - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 9\/2*o**2 + 0*o**5 + 5\/6*o**4 + 0*o**3 - 101\/42*o**7 + 27 + 0*o**6 + 6*o. Find the third derivative of w(l) wrt l.\nAnswer: -6060*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -v. Let h be v\/10*(-20)\/(-16). Suppose 4 = b + 2*w, 0 - 14 = -5*b - 4*w. Do b and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -14*w**2 + 7*w - 11. Let h be y(6). Let g = -237 - h. What is the highest common divisor of g and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.091 - -191.909. Let z = 192 - m. Let j = 0.05 + -0.45. What is the smallest value in j, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/(-2)*-66*85\/2040?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.5 + -3. Let k be (2\/3)\/((-22)\/6). What is the closest to k in -1\/6, t, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**2\/2 - 1. Let t(a) be the second derivative of -16*a + 0*a**2 + 0*a**3 - 1\/4*a**4 + 0. Determine t(o(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-4)\/(-6))*3\/36?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 3*d + 7*d - 6*d + 5. Let j be i(-5). Let l = -10 + 9. Which is the nearest to j? (a) -4 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 0.29 (c) -13 (d) 8 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.8 - 0.2. Let g = q - -13. Let k = -12 + g. Which is the smallest value? (a) -1\/2 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2\/5785?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*x**2 - 45568*n**2*x + 2*n*x**2 - x**2 + 4*x + 254 wrt n.\nAnswer: 2*n*x**2 - 91136*n*x + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45187 at most as big as 45186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**3 - 4*c**2 - 3*c - 1. Suppose -6*s - g = -2*s + 15, s + 3 = -g. Let r be s\/((-32)\/(-18)) - 13\/(-52). Calculate w(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-5))\/b**(1\/6))**(-12\/13)*(b**(-2\/11)\/((b*b**(-3\/8)\/b)\/b))**(-29) assuming b is positive.\nAnswer: b**(-35185\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874165?\nAnswer: 5, 359, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 3*p - 3. Let n(w) = 3*w**2 + 5*w + 5. Let x(j) = -j**3 + 9*j**2 + 23*j - 6. Let m be x(11). Determine m*l(i) + 3*n(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 28035?\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 4:15 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(26)\/(sqrt(8)*-2)*6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44*-0.4\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 15, 294, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10887936193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -66 + (-5062 - -5076 - (16 + (2 - 4 - -1)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - v**2 + 5*v - 6. Let l = 98 + -94. Let z be d(l). What is the greatest common factor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + -1 + 1 + (-213)\/(-48) and 85\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.5 (b) 0.2 (c) 20\/11 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a - 755*a = -118*a - 320*a - 12948 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3564*g + 2950972*g**3 + 3564*g - 2950964*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/141 - -67297\/282. Let u = -247 + f. Let w = -98311\/22 + 4470. What is the common denominator of w and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*d**5 + 19*d**5 - 33*d**5 + (-4*d**4 - 12*d**4 + 3*d**4)*(2*d - 3 + 3) + 2*d**5 + 0*d**2 + 0*d**2.\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461606265 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 7 + (9 + -11 - -82)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3213764.\nAnswer: 2, 803441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 20*q**2 - 39*q - 42. Let i be (-13)\/(78\/90) - (-6)\/(-2). Let y be x(i). Solve 0 = 3*a - 3 - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 minus 31095.6156453?\nAnswer: -31099.1156453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 50*k**2 + 4154*k + 343. What is o(-83)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 - 4*v - 10. Let u be w(7). Let q = u + -7. Solve 0 = 4*r - 3*z + 3, -q*r + 1 = -r + z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3182*r**4 + 523*r**3 - 2*r**2 + 188011097*r?\nAnswer: 38184*r**2 + 3138*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/2*30\/(-9). Let m = 125 - l. Suppose -5*g = -0*g - m. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 - -178. Let p(w) = -12*w**2 - w - 11. Let a(x) = -12*x**2 - 10. Let u(i) = y*p(i) - 6*a(i). Let z(d) = 11*d**2 - 4*d + 4. What is 4*u(g) - 5*z(g)?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45477787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30174 or -30175?\nAnswer: -30175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m - 274. Let i be q(31). Calculate the highest common factor of 5040 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2) + (-7)\/((-21)\/1884). Let o(f) = z - 630 - f + 20*f**2. Determine o(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9645 = -66*n - 577*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -71203, -142492, -213867, -285328?\n\"Answer: -43*v**2 - 71160*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 16 = -k - 2, -3*v + 15 = 0. Suppose 9*y - 10 = k*y. Suppose y*g = -2*g + 770. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 13, r: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -0.1, -134, -27, 24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55402262?\nAnswer: 2, 23, 1204397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 11, 18, 17, 2, -33, -94, -187?\n\"Answer: -o**3 + 5*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**3 - 5*x**2 - 2*x - 5. Suppose 15 - 40 = -5*c. Let u(r) = 6*r**3 + 8*r**2 + 3*r + 8. Give c*u(g) + 8*w(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from ypzqptqb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + (-7 - -4) + (9 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + w - 12, -3*w = -5*n + 2*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37366\/87 + -430. Calculate the common denominator of b and -71\/33.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -21*f**2 + 6*f - 161. Let n(c) = -44*c**2 + 13*c - 324. Calculate -13*l(q) + 6*n(q).\nAnswer: 9*q**2 + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8)*18)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + l**4 + l - 13*l**4)*(3 - 2 + 0) - 2*l**3 + 7*l**4 + 2*l**3 to g*l**2 + s*l**3 + h + z*l**4 + x*l and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/12 + 29*m**3\/6 - 440*m**2. Let q(j) = -3*j. Determine w(q(v)).\nAnswer: 6*v + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 - 4. Let d be ((-396)\/616)\/(15\/(-7)). What is the third smallest value in -2\/13, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4, -1504, 1, -3, 418 in descending order.\nAnswer: 418, 4, 1, 0, -3, -5, -1504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 524703834 by -3.\nAnswer: -174901278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108030 and 6.\nAnswer: 108030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13bc3b (base 15) in base 16?\nAnswer: e835b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14369466 is divided by 3648.\nAnswer: 3642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -370869.29387 - -203235.8938764. Let y = -167634 - u. Let x = y - -0.6. What is x rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42252857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 212755.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1001100?\nAnswer: -1001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 79.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = -2*d. Suppose -x - 3*m + m - 7 = 0, 0 = -d*x - 5*m - 17. Sort 3, -4, x in descending order.\nAnswer: 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15952 - 15819. What is the remainder when 6649 is divided by n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-8)\/(-2) - (2 + -27). Suppose -z + h = 22. Solve -4*o + 4*i + 2 = -z*o, 0 = -5*o + 3*i - 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 12*x - 22. What is a(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27020.8 centuries in decades?\nAnswer: 270208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 301*z - 67662. What is c(-150)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 - -55325b?\nAnswer: 553318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240\/42 + 4\/14.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.9 - -24.9. Let o = -15 + 27. Let v(u) = u**3 - 13*u**2 + 12*u + 8. Let h be v(o). Which is the nearest to -2? (a) h (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t + 2411. What is r(15)?\nAnswer: 2711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/504*(-6)\/4*42\/(-21)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(36)*-1)\/sqrt(12) + sqrt(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 110*y**2 - 1589762*y + 1589870 = 0.\nAnswer: -865, 1, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(5\/3)\/y)**(-1\/12)*y**(1\/14)\/(y\/y**19))**(4\/27) assuming y is positive.\nAnswer: y**(4540\/1701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k - 7. Let x(u) = u**3 + 2*u**2 + u + 1. Let h be x(0). Let g be z(h). Is g less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - h**2)*(h + 0 + 0) + (0*h + 0*h - h)*((3*h - 3*h - 2*h**2)*(0 + 0 - 1) + 2*h - 2*h + 2*h**2) in the form g*h**2 + c*h**3 + i + u*h and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 4*a**2 + 5*a. Let u be x(4). Suppose 50 = -9*m + 14*m. What is the greatest common divisor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42, 9, 1, -55, -2 in descending order.\nAnswer: 42, 9, 1, -1, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*u - 15, 3*u + 0*u - 5*a + 19 = 0. Let i(c) be the first derivative of 0*c + 0*c**u - 3\/2*c**4 - 2 - 3\/5*c**5 - c**3. Factor i(n).\nAnswer: -3*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -886 + 3543\/4. Which is the biggest value? (a) v (b) -0.5 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, -1, -6001 in decreasing order.\nAnswer: 168, -1, -6001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -274 + 274.3. Let p = -11 + 56\/5. Which is the third smallest value? (a) 13 (b) p (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 3*l - 13. Determine y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 1:36 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000108145592 to six decimal places.\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1650 divided by -330.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(75\/2))\/(-2*2\/54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 10358\nAnswer: 2071.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/((-300)\/(-16)))\/((-22)\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.083 - -0.083. Let x = q + 48.8. Let g = 31 - 61\/2. What is the closest to -1 in x, 0.4, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c = -9. Find the second derivative of -1 - 3*i - c*i**2 + 4 - 3 wrt i.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7348 = -5716*m + 5382*m for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - 0.45. Suppose -3*y + d = -4*y - 3, 0 = 2*y + 4*d + 10. What is the third smallest value in -5, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 754*v + 9845. Give w(-13).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13794 and 25289?\nAnswer: 151734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464*q - 1345*q = 4293996. What are the prime factors of q?\nAnswer: 2, 3, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 13 + o**2 - o + o**2 + 0*o**2. Let s be t(0). Let q = 13 - s. Solve -p + 4 = -q*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -57324?\nAnswer: -57324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) -6 (c) 0.2 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6543 (base 8) to base 3.\nAnswer: -11200221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y. Let p(b) = -5648*b. Let g(x) = 1129*x. Let v(k) = 11*g(k) + 2*p(k). Determine v(r(j)).\nAnswer: 3369*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-265.\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 523001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y - 490133 = -505414 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p - 1. Let c = 6 + p. Suppose o + 0 - 4 = 0. Solve 21 = -c*q + 2*a, -q - o*a + 5 = -4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let q(k) = k + 1. Let v(i) = 5*i**2 - 2*i - 2. Let h(a) = -2*q(a) - v(a). Calculate u(h(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**5 - 698*w**4 - 31904*w**3 - 29800*w**2 + 62400*w = 0.\nAnswer: -40, -2, 0, 1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + (sqrt(275) - (sqrt(275) - (2 + sqrt(275)))) + sqrt(275) + sqrt(275) + sqrt(275))**2.\nAnswer: 200*sqrt(11) + 4420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 2*j, j = 3*f + 4 + 1. Let g be (-2)\/f*15 - (-16)\/8. Let n = 111 - g. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 0*r - 14 = r, 0 = -5*z + 2*r - 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from {z: 2, j: 3, c: 8, a: 2, m: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 3:46 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 5*b + 5*b - 12 + 4*b. Suppose -14 = -4*y + 46. List the prime factors of d(y).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let d(z) be the second derivative of -z**5\/40 + z**3\/2 - 3*z. Let a(m) be the second derivative of d(m). Calculate a(c(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2*((-216)\/63)\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-9 - 5) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -32. Suppose 5*a = -5*z - 0*a - x, 0 = -4*z + a + 13. Suppose n = -z*f + 792, -4*f - 4*n + 641 = -947. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l. Let a(r) = 31*r**2 + 2. Calculate a(m(z)).\nAnswer: 124*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65596, -65295, -64994?\n\"Answer: 301*u - 65897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1844078 is divided by 238?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/20*(2 + -7). Let z(j) = -5*j - 5. Is z(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 7 = -n, -2*x + 4 = -6*n + 5*n. Calculate the remainder when n*(-3 + 4) - -63 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 44\/10)\/(1\/(-5)). What are the prime factors of 39 + v*(-1)\/4*-4?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from xehaxxjxxeaaetx?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -962, -1437, -1914, -2393, -2874?\nAnswer: -3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-40) - (-1)\/(-4). Solve 0 = -v - 7*a + 4*a - 3, z = 5*a + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/4 (b) -6\/31 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 6 = 2*v + o, -5*v + 122 = -4*o. Suppose 3*p + 23 = -v. List the prime factors of -3 - 1955\/p - (-2)\/(-6).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 23*x + 6. Calculate h(-21).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad (base 15) to base 12.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*t + 107*t - 90560*t**3 + 0*t**2 + 90557*t**3 + 0*t**2 as m*t**2 + l*t + h*t**3 + o and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24054 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 20 + 12. Sort q, 92, -3, 5 in increasing order.\nAnswer: -3, q, 5, 92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 9. Suppose 21 = -3*b - 0*b. Let h be a(b). Suppose -h*j + 14 = -0*t + t, t + 3*j - 11 = 0. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 - 5*b**2 + 23*b + 2. Give r(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 + 5592154*v\/9 + 1242700 = 0. What is v?\nAnswer: -2796075, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102718 or 102712?\nAnswer: 102718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -1*sqrt(171))**2.\nAnswer: 24*sqrt(19) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = y - 3, -2*y + 11 = 3*l. Suppose -l*s = -2 - 37. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -104, -209, -350, -527?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/30 + ((-47)\/33 - 3 - -3).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7923*n + 238*n + 504675 = -3054*n for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214*t**5 - 3*t**4 + t + 1162 wrt t?\nAnswer: -4280*t**3 - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1432 (base 15) to base 12.\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096361592.\nAnswer: 2, 13, 20157323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 + 2176. List the prime factors of y\/20 + (-2)\/8.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a4718 (base 13) in base 14?\nAnswer: 11a47cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**4 - 642*u**3 + 99*u**2 + 4. Let o(t) = -2*t**4 + 320*t**3 - 49*t**2 - 2. Let w(c) = 2*l(c) + 5*o(c). What is the third derivative of w(q) wrt q?\nAnswer: -48*q + 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2*p - 9*p - 6*p to g + y*p and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3107, -3101, -3093, -3083, -3071?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 14, -27, -78?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2718 and 165496?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 10*c - 5. Let x be m(5). Suppose 21*a = 19*a + x. Calculate the lowest common multiple of a and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) + (sqrt(10) - (sqrt(120)\/sqrt(192) - sqrt(10))))*3)\/((sqrt(18)\/sqrt(3)*-5)\/sqrt(3)) + 0.\nAnswer: -33*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 + (11 - -14 - 10). Let u(t) = -1 - 6*t + t + 3*t. Determine u(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4410\/(-75) - (-90)\/50. Suppose 293 = -2*w - 115. Let p = l - w. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(13*c**4 - 8*c**3 + 8*c**3).\nAnswer: 39*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*g + 31, 10 = 3*g - 8*g. Let u = -11 + b. Let p(d) = d**2 - 8*d + 28. What is the tens digit of p(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 1493 = 4*u - 4*q, u + 3*q - 330 = 0. What is the least common multiple of u and 144?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*3.30808\nAnswer: 13.23232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h - 44*h - 67 + 12 = 0. Which is the second biggest value? (a) 5.4 (b) -4 (c) h (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 14. Let y be a(4). Let o(z) = 0*z + y + z + 0*z - 1. Calculate o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16238795?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*v + 6*v = -23, m + 4*v = -16. Suppose -m*g - 7 = -3*h, 2*h + 2*h - 1 = -3*g. Sort 0, h, 2.\nAnswer: 0, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 201 and 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9 + 7\/(-6). Let u(z) = z**2 - 2*z - 1. Let g be u(2). Let o = -7 + 10. Which is the nearest to g? (a) o (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 - -111?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193047*z**4 - z**3 - 2*z**2 + 12698*z - 126?\nAnswer: 2316564*z**2 - 6*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34841156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002222122 (base 3) in base 13?\nAnswer: -21b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5\/17 - 8*d**4\/17 + 10*d**3\/17 - 4*d**2\/17 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255 = -6*p - 235. Let j be 1\/3 + p\/3. What is the tens digit of (2*j\/(-4))\/(90\/(-240))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72981972 less than -707?\nAnswer: -72982679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 155*v**2 + 45*v - 135. Let g(c) = -14*c**2 - 4*c + 12. Let r(m) = 45*g(m) + 4*h(m). Let i(q) = 2*q**2. Calculate r(i(z)).\nAnswer: -40*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-one quarters of a tonne?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/197 + 16697\/1182. What is the common denominator of -47\/30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1539) - (5 + sqrt(1539)*2 + sqrt(1539) - sqrt(1539))) + (sqrt(171)\/(sqrt(9) + sqrt(9) + -3*sqrt(9)) - (-1 + sqrt(19))*5))**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-4 - -8) + -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 7 - 2 - 51\/57.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1845954 less than 1606?\nAnswer: 1605.8154046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 + 11*s**2 - 36. Let v be z(-10). Suppose 0 = -6*t - 2*t + v. Let b = 3571\/7 - t. What is the common denominator of -8\/9 and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 2, 0.02, -0.4, -4.297, -0.1, -2.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 6, 0 in decreasing order.\nAnswer: 6, 0, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 12 - 11) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1227157 - -4?\nAnswer: 1227161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 1.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15305355 (base 6) to base 11\nAnswer: 33803a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/2 (c) -8937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593873.\nAnswer: 7, 43, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-30))\/(24\/(-1905)) and (-4 + 0)\/(-12) - 211\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 32, 5, -2, 4 in increasing order.\nAnswer: -2, 4, 5, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urgi when four letters picked without replacement from ugirigutuuurtgu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -5479263.\nAnswer: 115064523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 - 110010100011000010101?\nAnswer: -110010100010111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52842*o + 26420*o + 26404*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + t**2 - 9*t + 6. Let l be v(2). Let q = 5 + -3. What is the second derivative of 8 - 3*g - 2*g**2 - l - 6*g**q wrt g?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 8*k**3 + 715 - 715.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9684*s + 4519. Is c(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/60304 and -71\/72.\nAnswer: 542736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3370? (a) -52 (b) -1 (c) -0.087\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 24957997?\nAnswer: 224621973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-18))*((h*h**(-1\/2)\/h*h)\/h)\/h*h)\/(h**(-9))**(-15) assuming h is positive.\nAnswer: h**(-235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 3*c + 4*c)*(-12 + 12 + 15*c)*(9*c - 3 + 3) as f + j*c**2 + x*c + k*c**3 and give k.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 342 by 7.\nAnswer: 342\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - g + g + (g**2 + 3*g**2 - 2*g**2)*(-g**2 + g**2 + 2*g**2) - 4*g**3 + 4*g**4 + 4*g**3 + 1 - 3 - 2*g**4 + g**4.\nAnswer: 5*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f - 6. Suppose -4*q - 17 = -33. What is the units digit of o(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*x**3 + 2*x**2 - 3*x**2 - 354*x**3 + x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487*d + 486*d = -5. Suppose -3*s + d*x - x = -24637, 2*s - 4*x - 16418 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -2 (c) 0.2 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-92)\/(-10) + 4\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 1) + 52 + -25 + -27\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 - 67 + o**3 - 295.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -404004?\nAnswer: -404004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 206 + 1a?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 445, 450, -0.06, -0.146 in decreasing order.\nAnswer: 450, 445, -0.06, -0.146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyj when three letters picked without replacement from yiyjyiyxyjxiixny.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442114310 - 2?\nAnswer: 442114303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Suppose 8*o - 59 = -d + q*o, -d + 60 = 3*o. Suppose -4*f - 3 = -d. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67245 divided by 109.\nAnswer: -67245\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) -2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581 + -1583 - (7 + 0) - 45.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) -19502026 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8465.98 and 150?\nAnswer: 1269897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*o - 31 = 0, 5*r - 15*o = -10*o + 10. Let w = -0.1 - 0.3. Which is the nearest to -2? (a) w (b) -1\/10 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12628, -25524, -38684, -52108?\n\"Answer: -132*u**2 - 12500*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 26. Suppose t = 2*t + 1, 5*z = -t + 474. What is the highest common factor of u and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/11, -0.17, 15\/19, -2568?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 4 - (2 + -6). Suppose l*o - 20 = -2*q + o, -3*o = 5*q - 12. Let s be 1\/11 + 625\/(-3850). Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 greater than 1253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101\/252 - -1\/36. Let q = -225227\/18 + 12519. Let t = 80\/9 - q. Which is the biggest value? (a) f (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52 (base 11) to base 7.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {h: 3, z: 1, o: 2, d: 2, a: 2, y: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 = 1. Let d be (-12)\/36 + (-8)\/g. What is the tens digit of -5 + 36 + (d - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-42)*805\/(-92).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 22 = -8. Let o be (-625)\/k - 2\/3 - 1. Let m = 86 - o. Calculate the remainder when 181 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 21*q**3 - 5*q**2 - 9*q - 4. Let b(r) = -31*r**3 + 8*r**2 + 14*r + 6. Give 8*a(d) + 5*b(d).\nAnswer: 13*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 7, 3, -0.02429, -2\/3?\nAnswer: -0.02429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*c + 58*c - 54*c + (-7*c + 3*c - 4*c)*(2 - 4 + 3).\nAnswer: -39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) -0.3 (b) -0.5 (c) 214 (d) -57\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**2\/5 - 30324*u\/5 - 229886244\/5 = 0?\nAnswer: -15162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.161155*-2\nAnswer: 2.32231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -299498.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565402 (base 7) to base 14.\nAnswer: -28802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-72)\/(-6))*(-6)\/(-13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 32 = 3*q + 20. Let m = 1 - -3. Suppose 2 + 0 = 2*x, -5*d + m*x = -6. Are d and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5612 is divided by 5373?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1230 - -14688. What is the remainder when l is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g - 12. Let n be m(3). What is the second derivative of -18*h - 7*h**3 - 18*h + n*h wrt h?\nAnswer: -42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39661.\nAnswer: 17, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12021 (base 3) to base 13\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483, 651, 507, 51?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 102 = -l + 2*m, -m = 3*l - 250. Let s = l - 31. What is the remainder when s is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715279.165 - -0.031?\nAnswer: 6715279.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -37003, -36924, -36845, -36766, -36687, -36608?\n\"Answer: 79*l - 37082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*o - 35, 5 = -5*o + 2*b - 0*b. Is 0 - (1 - 2)*(524 + o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.803 - -0.197. What is the biggest value in 0.82, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 523200 and 279040.\nAnswer: 4185600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 82905?\nAnswer: 2735865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 7*s**2 - 16*s - 1. Let x(a) = 9*a. Suppose 5*f - 5 + 0 = 0. Let g be x(f). Let m be w(g). Calculate the highest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1599 and 139359?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/30 + y**3\/3 + y**2. Let l(f) = -f**3 + 4*f + 1 + 2171271*f**2 - 2171270*f**2 - 4*f. What is -a(h) + 2*l(h)?\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235603, -235605, -235607, -235609, -235611, -235613?\nAnswer: -235615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-636*d + 377*d + 350*d)*(0 + 0 - 4)*(-4 - 1 + 3).\nAnswer: 728*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4263.19818934 less than -0.4?\nAnswer: -4263.59818934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/150)\/(28\/(-10))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12124020043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*45\/(-10). Suppose -z - 6 = n*d + 2*d, 5*z + d = 42. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3670413 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - k = 426 - 3259, 2*k - 2836 = 5*n. Let z = n - -9626\/17. Find u, given that 0 + 2\/17*u + z*u**2 + 2\/17*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 312.6 + 210011708?\nAnswer: 210012020.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*d = r - 1610, -2*d - 1618 = -3*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 40*u - 11040 = 0. Is u a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**3 + 0*o**2 + (4*o**2 - o**2 - o**2)*(-3*o - 889 + 863 - 2*o).\nAnswer: -8*o**3 - 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 44. Let s = 25 + p. Let w = -6.7 + s. Which is the second smallest value? (a) -0.3 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1719.5 - 1412. Round u to the nearest 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*u**2 + 8 - 8)*(u + 4 - 4) + 0 + u**3 + 0 to the form y*u**2 + z + r*u + x*u**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98642 + -98642. Let x = -1 - 4. Which is the second smallest value? (a) 1 (b) m (c) 10\/9 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 6. Suppose v = 6*v. Let p = 29 + v. Calculate the remainder when p is divided by n(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22226.7*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -89*h**2. Let u(w) = -79*w**2. Determine p(u(j)).\nAnswer: -555449*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78760621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -957*w. Let n(f) = 1001*f**2 - 4. What is o(n(u))?\nAnswer: -957957*u**2 + 3828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/((-72)\/756) - -7. Solve -2 = 3*s - 2*n, s - 3*n + 0 - 4 = t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.3879123 micrometers?\nAnswer: 0.0000000003879123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -80 + (7867 - 7879).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**2 + k**2 - 2*k**2 + (-1 + 1 + 5*k)*(k - 2*k + 0*k) + 2 - 2 - k**2 + (-14*k + 22 - 22)*(2*k + 1 - 1).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37359.37 + 37648. What is j rounded to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -47. Let q(c) = 18*c**3 + 3*c**2 + 5*c - 7. Is q(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1119*a**3 + 2*a**2 - 11*a. Let m(f) = -559*f**3 + f**2 - 6*f. Calculate -11*m(t) + 6*n(t).\nAnswer: -565*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10061 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 8. Let m = -15693 - -15705. Calculate the remainder when l is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*r**2 - 88*r**2 + 162*r**2 + r - r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8051*b**2 - 581*b + 1162. Let c(w) = 83*w**2 - 6*w + 12. Let h(q) = 581*c(q) - 6*y(q). Let p(d) = -d. What is p(h(f))?\nAnswer: 83*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93849728 is divided by 3662.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21992 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*p + 0)*(1 + 12 + 41).\nAnswer: 108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8149566*u**4 + 2*u**2 + 5279588.\nAnswer: 195589584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 + 111802*j**3\/5 - 1562516796*j**2\/5 + 312436280*j + 624962000 = 0.\nAnswer: -1, 2, 27950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 9684684?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 12*x - 10. Let h be (-5)\/2*(-18)\/15. Suppose 12 = h*p - 15. Let d be g(p). What is d rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 10) to base 9\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 265*d**3 + 4*d**2 - 3*d. Let c be a(1). Is c - (10\/(-60) - (-19)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 26*s**2 + 4*s - 64. Let v(z) = 7*z**2 - z. Calculate -l(c) - 4*v(c).\nAnswer: -c**3 - 2*c**2 + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/2*108\/144*12\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*i = 50, -27 = -3*d - 5*i - 5. Suppose -n - 429 = -d. What is the hundreds digit of (-2)\/(-8) - n*(-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -41, -83, -147, -239, -365?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-26)\/(-4))\/((-6)\/48). Let w = -6 - -4. Does 5 divide s\/(-4) - -2 - w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 15, v: 5}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 6*k**2 - 6*k. Let g be r(-5). Suppose g*s = 2*s, -s - 30 = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + 1. Calculate o(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - -9 - 23 - (-1 - 24).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 2*j + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147.2 + 146.2. Put c, 4, -17, -3 in descending order.\nAnswer: 4, c, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45061 + 64548. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - 111?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/142851192 and 143\/32466180.\nAnswer: 714255960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 15*f**2 + 79*f**2 + 89*f**2 + f**2 + 6*f in the form h*f + c*f**2 + q and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-30)\/(-28))\/((-1992)\/(-1162))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*10\/(-4)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -1 + 850\/(-950)*-19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 11*i**2 + 3*i + 39. Let y be m(8). Suppose -28*v = 31 - y. Solve -5*k + 5*u = 4*u + 20, -2*k = -u + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*a + 409 - 203*a + 161 - 204*a + 605*a.\nAnswer: -3*a + 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 2 (c) 0.4 (d) 2.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 - -263. Calculate the remainder when (-1236)\/(-14) - w\/84 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110.37 - -1.37. Let t = -109 - x. Let n(w) = 2*w + 1. Let p be n(6). Is p less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o**3 - 5*o**3 + 3*o**3. Let t = 41 + -8. Let f(m) = t*m**3 - 11*m**3 - 3*m + 3*m. Give -5*f(a) + 12*g(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303465162?\nAnswer: 2, 3, 7, 11, 13, 50527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8341*g**4 - 11*g**3 - 22*g - 6595. Let w(k) = -1668*k**4 + 2*k**3 + 4*k + 1319. Let t(o) = 2*f(o) + 11*w(o). Differentiate t(s) wrt s.\nAnswer: -6664*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398978 minus 218?\nAnswer: 398760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-84)*(-6363)\/(-13635).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*c = 3*c - 2, -u - 2*c - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36334134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 18 - (274 + -240) - (3 + -67)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 287, -11.\nAnswer: -11, 8, 287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.537 - -1.463. What is the closest to d in -328, -3\/5, -3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.165 - 0.065. Let t = 632\/319 + -10\/29. What is the second smallest value in y, -3, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 2)*(0*z + 0*z - 2*z) - 1 - 2*z + 1)*(-202*z + 39*z + 26*z)*(2 + z - 2).\nAnswer: -274*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 280625955 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*s**3*u**3 - 6418*j*u + 3*s**3*u**3 - 8*s*u**3 + 2*s - 20*u**3 wrt j.\nAnswer: -2*s**3*u**3 - 6418*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*q + 321 - 354 = 0, 3*u + 9*q = -39 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2. Let c be 4 - -2 - (f - -2). Suppose -s - 24 = -c*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21601*y - 21593*y + 64 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a tonne in kilograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (2 + -3 + -3). Suppose -2*j - i*u = -21, 3*j - 2*j + u = 11. Calculate the greatest common factor of 132 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3214 - -51447\/16. What is the common denominator of d and (5\/90)\/((-6)\/(-747))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4962 = 19*o - 40055. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*d. Suppose i + 8 = 3*i. Calculate the remainder when (i\/6)\/((-1)\/(-6)) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/(16614\/(-284)))\/(206\/(-6))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-15))\/(4\/(-18)). Let h = 77563\/3 + -25850. What is w in 8\/3*w + 4\/3 + 5\/3*w**5 + 7\/3*w**4 - h*w**r - 11\/3*w**2 = 0?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000241622 rounded to 6 decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/25 + -193\/400. Calculate the common denominator of r and (260\/(-14))\/(-1 - 3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -3*d + g + 25, g = 2. Let s be 1 - (-2)\/8 - (-8550)\/456. Suppose -5*n = -s + d. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 1016757.\nAnswer: -1016757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24964171 - 25106245.949. Let s = f + 141952. Let b = 123 + s. What is b rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2 = -y, -2*l + 3*y - 9 = -4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 8. Let w(u) = -2*u + 205. What is 4*p(s) + w(s)?\nAnswer: 10*s + 173","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*k - 62, -13 - 44 = -u + 5*k. Let y = 5017 + -5004. Calculate the remainder when u is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1788093*f - 1788038*f + 3576147*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 52a187 (base 13) to base 10\nAnswer: 1935837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26232*0.1\nAnswer: -2623.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83 (b) -0.1 (c) -4 (d) -0.5 (e) -0.11 (f) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 12, u: 6}. Give prob of sequence mumu.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 + -3 + 2 + 2. Suppose 4*l - r = -l. Suppose -l*u = 1 - 4. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400601 is divided by 1305?\nAnswer: 1271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00209338063 rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**3\/2 - t**2\/2 + 9*t. Let a(x) = 4*x + 2. Calculate -2*a(l) - 3*i(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260414 and 11704.\nAnswer: 1041656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53.976 - -54. Let d = 0.124 - q. Sort -2\/7, d, 2, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, d, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/23 > 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 10:59 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w + 112. What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Suppose -c - 2*c + 6 = m. Let u(g) = -3*g + g**c + 3*g. Let s(o) = 2*o. Give s(u(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (3\/39)\/(209\/29887)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4)*f)\/f*f*f**(-4\/5)*(f\/(f**6*f*f))\/(f**(-2)\/f))**(-19) assuming f is positive.\nAnswer: f**(1729\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-100) - (-1)\/(-5). Sort -6\/5, q, -0.3 in decreasing order.\nAnswer: q, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*-1*sqrt(810))\/((sqrt(125)*-4 + sqrt(125))*-2 + sqrt(125)) + 3.\nAnswer: 3 + 27*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:55 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -40*p + 4. Let x(n) = -79*n + 7. Calculate 5*k(o) - 3*x(o).\nAnswer: 37*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5070*b + 91 - 91.\nAnswer: 5070*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2458 = 28*i - 17366. What is the smallest common multiple of 472 and i?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4791 = -14*x + 11085. Calculate the greatest common divisor of x and 504.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -7 (b) 2\/3 (c) 102 (d) 4 (e) -16 (f) 1\/19 (g) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1318 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 80*t + 37*t - 49*t + 142. What are the prime factors of s(19)?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/45 and 7\/594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 7)*(4*v**3 + 0 + 0).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 32*p - 6. Let q be i(2). Let f be 16\/96 + q\/12 + -2. Solve -r - f*r + 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8700\/28 + 12\/42)\/(18\/4176)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/5*(-36)\/(1620\/75)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-1)\/2 - (-34328 + (-114)\/(-19)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide ((-50)\/225 + (-640)\/(-18))*27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136359701237 + 4.\nAnswer: -136359701233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**7*i**(-1)*i\/(i\/((i*i**1)\/i*i)) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 7.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Let q = 7 - a. Let d = -47 - -74. Solve 3*m - 14 - 8 = 2*v, d = q*m - 3*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1757.\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + -5*1. Let w = n + 4. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.6 - 0.6. Let t = -321 + 322. What is the closest to -0.1 in t, 0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 - 6*h - 1. Let w be q(6). Is (102\/(-10))\/(w\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27818143?\nAnswer: 1597, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.91 + -0.61. Let l = -70\/19 + 121\/38. What is the second smallest value in -6, l, i, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53767869\/8 or 6720985?\nAnswer: 53767869\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5844552 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:34 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5*z + 14*z**2 + 221129*z**3 + 7*z + 12*z + 14 - 221130*z**3. What is r(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = -2*j + 40, 5*b - 75 = -5*j. Let l(o) = o**3 - 11*o**2 - 33*o + 5. Calculate the remainder when l(j) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -343*3\/15 + 2\/(-5). Are -69 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - 13 + 13)*(2 - 3 + 3)*(2*t + 1 - 1)*(4 - 2 + 5) to g*t + y*t**2 + i*t**3 + c and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 12. Let z be o(11). Let g(h) = 161*h**3 - h**2 + 2*h - 1. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1636 divided by 4\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2932)\/12)\/(1\/(-3)). Suppose -54 = h*k - 736*k. Solve k*g = 16*g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of 3*p**4\/2 - p**3\/6 + p**2\/2 + 9*p. Let v be z(-2). Calculate the remainder when 15 is divided by (-174)\/(-45) + 10\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4*1*2. Differentiate 5*a**3 + 3 - 4*a**u + 0*a**3 with respect to a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*s**2 - 4 - 2*s + 5 + 18*s**2)*(-2876 - 634 + 14209) to m*s + x + o*s**2 and give x.\nAnswer: 10699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -498, -3, 0.\nAnswer: -498, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27349536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4173587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let s = -0.2975 + -0.2025. What is the closest to 0 in s, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v + 6. Let l(g) = 9*g**2 + 2*g + 29. Give -5*f(x) + l(x).\nAnswer: 4*x**2 - 8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3188.4 + -3189. Let o = 0 + -0.2. Let i = o + 0. What is the closest to c in i, 4, 2\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/12 - i**4\/8 + 311*i**2. Let v(z) = -2*z**2. Give k(v(u)).\nAnswer: -20*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140250 and 102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/215691 or 5?\nAnswer: 2\/215691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11628*r + 284*r**2 - 5354*r**2 + 11628*r to the form h*r**2 + k*r + d and give h.\nAnswer: -5070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 476\/(-51) - (-18 - -11)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-2*sqrt(85) - -2*sqrt(85)*-2)\/(sqrt(405)*2 - 6*-1*sqrt(5)))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.07, 0.0529?\nAnswer: 0.0529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 3.6. Let g = 2.4 + -2. Let h = 0.6 + g. Which is the nearest to -0.1? (a) h (b) i (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 4. Let l be j(-3). Let u(i) = 3*i**2 + l*i**2 - 4*i**2. Let m(h) = -2*h**2 + 6*h**2 - 3*h**2. Calculate u(m(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2467, 2439, 2411, 2383, 2355, 2327?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 371172, 371168, 371164, 371160?\nAnswer: 371156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32010.8 millennia in months?\nAnswer: 384129600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - (-103)\/(-7). Let p = -99 + 60. Let u = z - p. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-261)\/4*96\/36. Let m = o - -179. Solve c = m*c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 4613855.\nAnswer: 4613855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + -2. Let o be (-3 + h\/(-6))\/(-1). Find k, given that 0*k**2 - 2\/3*k + 1\/3 - 1\/3*k**4 + o*k**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2 + 3. Let u = 4 - b. Suppose -u*i + 188 = 38. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/sqrt(6).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5141 - -5251.48. Let q = 108 - j. What is q rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from djjdjjdjdkjdjkddjj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 494124488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*o = 30*o + 35055. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/3714 and -29\/156.\nAnswer: 96564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13028530 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -5*h**3 - 5*h**2\/2 + 7*h. Is o(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/150*11\/88*-20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 3, -3*g = 3*u - 12. Let b be 41\/(3 - 2\/u). Suppose 3*v = 4*x - b, x + 0*v + v = 19. Calculate the remainder when x is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297234, -297233, -297232, -297231, -297230, -297229?\nAnswer: -297228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f + 3140. What is the thousands digit of l(67)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5112 + 5130. Solve 27*z = 36*z + f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -517*a + 1555. Let p be j(3). Put p, 1, -2462 in descending order.\nAnswer: p, 1, -2462","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5087604 - 0.7127411. Let u = 0.086 - 0.29. Let l = u - a. Round l to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2 - 1782094*h - 5056828?\nAnswer: 2*h - 1782094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43229 is divided by 7202.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6830 - 150311\/22. Suppose -2*v - 15 - 5 = 0. Find the common denominator of s and 138\/15*v\/(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-91\nAnswer: -45.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 2*h - 84, -2*h - w + 4477 = 4381 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1946 is divided by 482?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2. Let w(d) = 484141*d. Determine f(w(y)).\nAnswer: 468785015762*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q = -63*q - 58070. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476263 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 + 12*q - 4. Determine v(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, h: 2}. Give prob of sequence xhxx.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + 3*b**2 - 20 + 16*b + 0*b. Let f be w(14). Solve -3*c - c = f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 5*d**2 + 1955*d + 9763. Let p be a(-5). Let l(w) = -w. Let v be l(-5). Let q(j) = 23*j + 5. Let n(r) = 58*r + 12. What is p*q(z) + v*n(z)?\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.44387 tonnes in kilograms?\nAnswer: 25443.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -28) + 20 + -3 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 138 = -36. Calculate the remainder when y is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095586 a multiple of 863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*w - 1 + 902*w + 899*w - 3601*w + 890*w + 1.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20360, 36906, 53452, 69998, 86544, 103090?\n\"Answer: 16546*k + 3814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 - (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Suppose 0*x + 14 = -2*x. Let y(o) = o**2 + 7*o. Let a be y(x). Solve -f*q - 4*t = -10, -t - 5 = -a*q - 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30315875, -30315877, -30315881, -30315887, -30315895?\n\"Answer: -j**2 + j - 30315875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -38*g**2 + 2. Let s(h) be the first derivative of h**2 + 45. Determine o(s(t)).\nAnswer: -152*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*y + 2*y**2 - 4)*(142 + 62 + 141 - 82).\nAnswer: 526*y**2 + 526*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117229617?\nAnswer: 3, 61, 213533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123199 (base 11) to base 8.\nAnswer: 573773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27a77 (base 11) in base 5?\nAnswer: -2234033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*y = 6, -4*q + 3 - 1 = -5*y. Put 18, 3, q in descending order.\nAnswer: 18, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + b + 3*b - 22, -3*b = -4*y + 22. What is the first derivative of y - 7 + 9 + 15*g**4 + 4 wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 256839742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1548 and 54.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 3\/1552 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -30*m + 80*m + 2 - 2 - 37*m. Let h(v) = -20*v. Calculate g(h(j)).\nAnswer: -260*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-17 + 12\/4). Suppose 35 = 5*y + 2*z - 35, 43 = 4*y - z. Calculate the greatest common divisor of y and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l + 49 + 3*l - 5*l + 3*l. Let d be r(-10). Is 17 a factor of ((-189)\/(-28))\/(d + 17\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b - 20. Is z(12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:40 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*((-48)\/(-4))\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3342 + 8183 = 115*x + 11 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 10 - 29)*(-151*i + 90*i**2 + 151*i) to j*i**2 + r + g*i and give j.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 7 = -5*j, -5*j + 5*u = u - 3. Let n = 2 + j. Is n >= 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u**3 - 14*u**2 - 14*u. Let j(p) be the third derivative of 0*p**3 + 3*p**2 - 1\/8*p**4 + 1 + 0*p - 1\/20*p**5 + 1\/40*p**6. Give 14*j(q) - 3*w(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-20))\/(((-3)\/(-8))\/(15\/60)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xenw when four letters picked without replacement from tkkwknkkxwwknekee.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 800*u**2 + 12*u - 3*u**3 + 6*u**3 - 4 + 803*u**2 - 2413*u**2 + 799*u**2 = 0?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 - 15*a - 7. Give w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8166.972 litres?\nAnswer: 8166972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-4 + 5) - -2) + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) -9 (c) -18 (d) 0.3 (e) -5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99708 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**3 - 98*x - 292*x + 1085 + 36*x**2 - 36*x**2 - 47*x wrt x?\nAnswer: -3*x**2 - 437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2620 (base 11) in base 12?\nAnswer: -1b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-20))\/(3\/(-39))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 1.3. Let d = 277948 - 77825633\/280. Let x = -5\/56 - d. What is the closest to k in 0.5, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6183694*w - 121581391 wrt w?\nAnswer: 6183694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v - 14. What is b(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (11 - 3) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 11*a - 18. Let i be x(-12). Let j be ((-4)\/i)\/((-2)\/(-18)). Suppose 2 - 32 = -j*t. Solve 30 = -t*f - 5*d, 5*f - 2*d + 15 + 1 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134927040 a multiple of 9685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15919491 is divided by 1102?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 144199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65a + 49?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159691 or -159690?\nAnswer: -159691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -553*p + 218. Let z be b(-9). Round z to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16769, -67097, -150983, -268427, -419429, -603989, -822107?\nAnswer: -1073783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b**3 - b**2 + 5*b - 4. Calculate the remainder when k(2) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.789 - 0.89. What is s rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - c + 3*c + (-3 - 1 + 7)*(3*c - 4*c + 2*c) + 1 - 1 + 3*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30334 divided by -196.\nAnswer: 15167\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26995, -53986, -80995, -108028, -135091, -162190, -189331, -216520?\n\"Answer: -w**3 - 3*w**2 - 26975*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54635.799 - -54177.56456096. Let f = -450.23444 - b. Let q = 8 - f. Round q to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/4)\/2)\/1*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/176 and 91\/48114.\nAnswer: 384912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/4)\/((-714)\/204)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 1. Suppose -195 = -3*f + 6. What is the remainder when f is divided by b(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2921 - -2920. Let d = 2 + 0. Sort y, 2\/5, -3\/7, d in descending order.\nAnswer: d, 2\/5, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-312)*312\/64 - (-34)\/8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -11334.84725825?\nAnswer: 11334.84725825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + c - 667 + 155 = 0, 5*c + 267 = n. Let a = n + -360. Let q = a + 155. Calculate the highest common factor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z + 5. Suppose -3*j = 2*a - 2 - 1, 0 = -3*a. Let m be (-35)\/(-14) - j\/(-2). Suppose -m*n = 2*n + k - 32, -n + 5*k = 4. Calculate b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**2 + 556*g**2 - 175*g**2.\nAnswer: 299*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 36*u**2 + 2. Let r be s(5). Let b = 2260 - r. Suppose 3*o - b = 3937. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 25*t**2 + 15*t + 15. Is o(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 (base 5) in base 14?\nAnswer: 6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from abrmbabbbaaababrab?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**2 - 553*x + 20. What is c(-51)?\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-24) - 162\/(-18)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13362.006241 - -13362. Round i to 4 dps.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -5*z**2 + 0*z + 0 + 0*z**4 - 1\/10*z**5 + 3\/2*z**3 + 1\/30*z**6. Is f(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**2 - 11*n. Let x(f) = 2*f - 2*f**2 - 4*f**2 + 12*f**2 - 3*f**2. Let j(g) = 4*w(g) + 22*x(g). Let p(s) = -13*s. Give p(j(d)).\nAnswer: -26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = 1376*x + 96 + 16835 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 3a716?\nAnswer: -3a718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2 + 10*z + 15. Let j(q) = 6*q**2 - 6*q - 9. Let n(g) = -10*j(g) - 6*t(g). Let f(v) = v**2 - 11*v. Determine f(n(k)).\nAnswer: 36*k**4 - 66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.83 - 0.8. Let s(t) = t**3 + 7*t**2 - 10*t - 11. Let u be s(-8). Suppose 0 = -5*h + u*l + 10, -h - l - 2 = -0*h. Which is greater: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w - 3*w + 5*w)*(-19 - w + 19) + 126 - 126 + 2*w**2 - 2*w in the form y*w + p*w**2 + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q - 233*q**2 + 150*q**2 - 241*q**2 + 30*q**2 - 369*q**2 as d*q + b + p*q**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 4\/5, 3\/7, -1\/5, 2, 22689?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2576 is divided by 520.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 12 (c) 61 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-8 + (16 - (2 + (7 - 0)) - -73)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/120 - o**5\/12 + o**4\/6 - 2*o**3\/3 + 2*o**2 - 8*o. What is i(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 881? (a) -0.4 (b) -3336 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 596 = -28*l. Let n = l - 17. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2. Let z(q) be the third derivative of 7*q**4\/12 - 2*q**3\/3 + 19*q**2. Let w be z(3). Let d(h) = -w*h**2 - 7*h**2 - 14*h**2. Calculate d(f(p)).\nAnswer: -236*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3 = -x, 3*b + 6 = 3*x - 8*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/4292?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*l**3*p**2 - 1698947*l**3 - 4*l**2*p**2 + 2*l**2 + 243053*l*p - l + p**2 - 3 wrt l?\nAnswer: 78*p**2 - 10193682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2855 is divided by 254.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + (-27 - 51) - 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 5 - 2\/3*j - 2\/9*j**3 + 2\/3*j**2. Suppose t(x) = 0. Calculate x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*u - 2*u - 532 = 0. Is u <= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.8*83.\nAnswer: 813.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 4*p - 32*p)*(-4*p + 4*p + 3*p) + 401*p - 401*p + 46*p**2.\nAnswer: -95*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/68706 and 163\/45804.\nAnswer: 137412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8180320 a multiple of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 108*n - 112*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/((u*u\/((u*u*u**10)\/u))\/u)*u*u)\/u))\/u)\/((u\/u**(18\/7))\/u*u)*u**(2\/25)\/u*(u\/(u\/((u*u*u*u*u\/u**(2\/35))\/u)))\/u)**(-38) assuming u is positive.\nAnswer: u**(55898\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283667 - 124758. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-1 + 3 - 1 + (0 - 3 + 5)*(-1 + 2 - 3))*(-27*h - 9*h - 3*h).\nAnswer: 234*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -2*v**6\/45 + v**3\/3 + 46*v. Let u(z) be the second derivative of h(z). Let o(b) = 2*b**2. Calculate o(u(x)).\nAnswer: 512*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/7 - 11*v**2\/7 - 18*v\/7.\nAnswer: -v*(v + 2)*(v + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 + -58.6. Let i = 0.2 - 0.3. Which is the second smallest value? (a) i (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*h - 12, -4*w - 2*h = -6*w - 10. Sort w, -5, 7.\nAnswer: -5, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((672\/120)\/(6\/(-45)))\/(24 + -7)?\nAnswer: -42\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -519*i**3 + 343*i**2 wrt i.\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 22. Let u(a) be the third derivative of -a**5\/12 - 7*a**3\/2 + 119*a**2. What is 3*t(j) + 4*u(j)?\nAnswer: -2*j**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -938 by 4.\nAnswer: -469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 72260 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 6*y - 4. Let f be z(5). Let g be (1 + f)\/(2\/(-2)). Is g\/(-3) + 88\/3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 20*q**2 - 20*q + 25. Let g be y(19). Suppose 0 = 2*f - 6 + g. Suppose -120 = -3*p - f*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -44. Suppose -2*r + j*r - 5*d - 20 = 0, 2*r + 3*d - 20 = 0. Let g = -673 - -689. What is the remainder when g is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -6*h + 11*h - 80 = 0. Suppose -r = -4*v - h, -7*v = -4*r - j*v + 16. Solve r = -5*p + 2*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/((sqrt(96)*2)\/sqrt(8)) - -1*sqrt(1008)*3)**2.\nAnswer: 37303\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x. Let d(a) = -a + 1. Let c(b) = -1. Suppose 4*z + 2*h = 12, 5*z - 2*h - h = -7. Let y(q) = z*c(q) + d(q). What is p(y(i))?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6351 and 2.\nAnswer: 6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 216 - -1a57?\nAnswer: 2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -178 - 2152*b - 95 + 273 as q*b + d and give q.\nAnswer: -2152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19 + 0.01. Let q be 3\/(-2)*1\/12. Let o(i) = 2*i**2 - 77*i + 659. Let r be o(13). Which is the third smallest value? (a) r (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16632663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - m - 1. Let w(y) = y**2 + y - 16. Let b(n) = -3*r(n) - 3*w(n). Find the first derivative of b(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 < -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 132499319 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6426823 or 6426817?\nAnswer: 6426817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**2\/7 - 9186*w\/7 + 100925\/7 = 0.\nAnswer: 11, 9175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 202022002 (base 3) to base 4\nAnswer: 3213032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + 28?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 60146205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 7*m**2 + 12*m - 3. Give c(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 40, 176, 452, 916, 1616, 2600?\n\"Answer: 8*u**3 - 2*u**2 - 6*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -163, -158, -157?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -33. Suppose 2*d = 3*i - o, 4*d - 3*i + 10 + 4 = 0. Let a(n) = 600001*n + 2. Let b be a(d). Round b to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 74 + 54. Let c be (-60)\/r - (-1)\/(-2). Let x = 22 - 25. Do c and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = 32*l - 196. Suppose -145 = -5*b - 50. Sort b, -5, -4, l in descending order.\nAnswer: b, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.4 (b) 2\/447 (c) -293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 - 312012*o**3 - 1003031*o**2 wrt o?\nAnswer: 48*o - 1872072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*o. Suppose -r - 3*r = 3*h - 91, -5*h = 4*r - 141. Suppose -h*s + 4*s = 63. Sort o, 5, s, -5 in ascending order.\nAnswer: -5, s, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 337 = -5*f, 7*v - 2*v = -3*f + 210. Factor -3*l**3 + 30 + 6*l**2 - f + 17 + 15*l.\nAnswer: -3*(l - 3)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1554557?\nAnswer: 1554557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2*k + 2. Let r = -11 - -17. Let v be c(r). Let z = 37 - v. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -3\/4 (c) 2\/27 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 2:04 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 - 0.3. Let p = -2\/545 + 2186\/1635. What is the nearest to 1\/3 in -2, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -4, -0.5 in increasing order.\nAnswer: -32, -4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 37*a - 1778. Determine z(46).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -308567*k - 5554215. Determine w(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0602974 milliseconds to microseconds.\nAnswer: 60.2974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 + 2*a**3 - 5*a**3)*(-2 + 4 - 4) + 3*a**3 - 2*a**3 - 2*a**3 - 257*a**3 - 2005*a**3 - 562*a**3 + a**3 - 2*a**3 + 3*a**3.\nAnswer: -2819*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 15) + -1 + 8 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + 6*y + 1208. Calculate the remainder when o(25) is divided by 36.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257400053.\nAnswer: 83, 353, 77047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426 = 11*i - 954. What is the greatest common factor of i and 384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 219440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 0.01. Let p = -20099\/638 + 1\/319. Let t = -125\/4 - p. What is the biggest value in t, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 3:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2159452 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728) - sqrt(3))**2 + 4 + sqrt(24)\/(sqrt(968)*5))*4 + -4.\nAnswer: 4*sqrt(3)\/55 + 6360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2366789 less than or equal to 2366792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -801*j - 1122*j + 126730 = 262*j for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54*(-8)\/56)\/(60\/280)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -23*y**2 - 51*y - 7. Let p(z) = -24*z**2 - 57*z - 10. Determine -4*f(w) + 3*p(w).\nAnswer: 20*w**2 + 33*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8934455*j**5 + 8697478*j**2 wrt j.\nAnswer: -536067300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okxk when four letters picked without replacement from kxkoo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 43*u**2 + 368*u + 15. Let o be i(6). Factor -o - 3\/4*l**2 - 27*l.\nAnswer: -3*(l + 18)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1360*z - 1. Let q(g) = g**2 + 798*g - 1. Determine q(s(b)).\nAnswer: 1849600*b**2 - 1082560*b - 798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 14*q**2 - 7*q - 13. Is s(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2795\/132)\/(-5) + (0 - -3) and -19\/3?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*k - 0 + 8, -13 = -4*t - 5*k. Suppose -t*v - 2 = -v. Let d = 23 + v. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.012 + 6.988. Let u = y - 3. Which is the nearest to 2\/5? (a) 3\/8 (b) 1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4186.39002 rounded to one decimal place?\nAnswer: -4186.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 1988 = 10528. Round p to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 26*n**2 + 73*n - 35. Does 5 divide b(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by 5.\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z + 7. Let m be t(6). Suppose -2 = l - 5*c, 3*l - 6 = 5*c - 2*c. Let k = 0.3 + -0.1. What is the second smallest value in m, l, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 3*y**2 - 3*y + 4. Calculate l(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 2*x)*(3*x**4 - 2*x**4 - 2*x**4) + 28*x**5 - 65*x**5 - 47*x**5 + (x**3 + x**3 - 3*x**3)*(10*x - 10*x - 2*x**2).\nAnswer: -81*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 2*j**2 + 5*j + 4. Suppose l + 1 = 2*o - 0, 0 = 4*o + 4*l - 32. Let s(x) = 2*x**3 + x - x**o - 3*x - 2 - x + x**2. Calculate 5*s(f) + 3*w(f).\nAnswer: 2*f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) -143 (c) -1\/3 (d) -61748\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*n + 11495 = -104*n. Which is smaller: -3131\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 27 = 12*y. Suppose -y*l - 3*t + 31 = -l, -3*l - 4*t = -45. Let g(x) = -4*x - 9. What is the remainder when g(-6) is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*13\/(-2) - 3. Suppose 0 = a + 3 - i. Let l(k) = a*k - 9*k + 0*k. Let d(c) = -5*c**2. Calculate d(l(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6633.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9196358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -27 - 42 - 12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/120 - v**4\/6 - 53*v**3\/3 + 36*v**2 + v. Let t(m) be the first derivative of w(m). What is t(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*a - c, -c + 5 - 1 = 4*a. Let s = a + 3. Let m = s - -1. Calculate the remainder when 19 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 + 0 + 0 + 19*h**2 - 45 + 45 + (-2*h + 2*h - h)*(5*h + 0*h + 4*h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 76, 0, -2\/5, -1558\/3 in decreasing order.\nAnswer: 76, 3, 0, -2\/5, -4, -1558\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 30820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136058, 136060, 136062, 136064, 136066, 136068?\nAnswer: 136070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65095544 to the nearest integer?\nAnswer: 8068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(-9\/4)*m**(-6\/11)*m**(-1\/3))\/(m**(-5\/7)*m**(3\/10)\/m)**48 assuming m is positive.\nAnswer: m**(144391\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 8, i + 124*q - 28 = 121*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-306)\/(-14) - (-7 - (-144)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 9*k**3\/5 - 5638183*k**2\/5 + 10023404*k\/5 + 2505852\/5 = 0.\nAnswer: -2\/9, 2, 626463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let v(y) = -y. Let m(s) = 3*j(s) - v(s). Let d(o) = 3*o + 9. Let q = -5 + 14. Let z(b) = 2*b + 5. Let i(h) = q*z(h) - 5*d(h). Calculate i(m(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 702 = -5*c, -2*c - 281 = 3*z - 2*z. Let r = -89 - c. Let i be ((-6)\/8 + 1)\/(1179\/61308). What is the highest common factor of i and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35233 divided by -7.\nAnswer: 35233\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -323952 rounded to the nearest 1000?\nAnswer: -324000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-20)\/12 - 1799\/21. Let v = 173 - 4. Let g = f + v. Is g a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3.91. Let t = -162.82 + 159.63. Let v = i + t. Is -0.2 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -620978 by -992.\nAnswer: 310489\/496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let v be 172\/24 - m\/(-18). Let s(z) = z + 10. Let l(y) = y + 5. Let n(j) = v*l(j) - 3*s(j). What is the first derivative of n(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3919, -15826, -35715, -63592, -99463, -143334, -195211, -255100?\n\"Answer: -t**3 - 3985*t**2 + 55*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/12 + k**3 + 353*k**2 - 2*k. Let s(b) = b - 1. Let d = 19 - 13. Give d*s(n) + o(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**2 + 130*b + 5. Let t be k(26). Suppose 0 = -t*f - 5*n + 5275, 2*f - n - 654 = 1465. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3191*-5\nAnswer: 15955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/81*(35 + (-1 - -2)). Calculate the common denominator of -6\/17 and 4 + 625\/(-60) + 3\/o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srhhauf. What is prob of picking 1 u, 1 s, and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*z**3 - 2*z**4 - 3*z**2 - 8 + 430*z**3 + 2*z + z**2 to the form b + h*z**4 + m*z**2 + p*z + u*z**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -700, -707, -728, -769, -836, -935, -1072, -1253?\n\"Answer: -w**3 - w**2 + 3*w - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 + s - 1. Let h be p(-2). Solve 2*l - 3*r - 6 = -0*l, 0 = h*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 0*z**3 + 0 + 1\/3*z**4 + 0*z**2 + z. Let a(u) = 4*u. What is a(w(d))?\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5*f**2 - 4*f. Let z(k) = 5*k**2 - 3*k. Give -2*i(x) + 3*z(x).\nAnswer: 5*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*f*t**3 + 11*f + 1080*t**3 - 81 wrt t?\nAnswer: -51*f*t**2 + 3240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -560*l**3 + 21282*l**2 - 202236*l + 722 = 0. Calculate l.\nAnswer: 1\/280, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 12 + 4. Let j be 2\/(3\/(-1 - -4)). Suppose -2*f = 0, h - c*f - 3*f + j = 0. Let w(x) = -x**3 - x**2 + 2*x + 1. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 192 + 29233*w**2 - 2101*w**2.\nAnswer: 27132*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/5)*h\/h**(-5))\/(h**(-1\/2))**(-10) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -5*x + 326. Let o be (4\/6)\/(3 - 132\/x). Let a(h) = h**2 - 8*h + 4. Is 3 a factor of a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.27 + 0.03. Let j = 3.7 + 1.3. Let o = j + -8. Put o, -0.1, f in decreasing order.\nAnswer: f, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.48 + -30. Let w = x + -11.48. Which is the nearest to -1? (a) 3 (b) w (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 1. Let a(v) = 3*v - 4. What is -3*a(j) - 8*l(j)?\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(0 - 2 + 1 + (1 - 3 + 3)*(-5 - 1 + 4) + 2 + 4 - 5 + 2 - 3 + 2)*(4*z**4 + z**4 - 3*z**4).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)\/r*r**(-1\/2)*(r\/r**(-3))\/r*r**(-7)*(r\/(((r\/(r**1*r))\/r)\/r)*r*r*r*r)**(6\/11)*(r\/(r**(3\/4)\/r))\/r**(-4) assuming r is positive.\nAnswer: r**(5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 17*r**2 + 28*r - 30. Let f be v(-15). Let x = -1\/10 - f. Let w = 12 - 17. Put 3\/4, x, w, -0.5 in descending order.\nAnswer: 3\/4, x, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708 + 5*g**3 - 6*g**3 - 708.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-5 - -6) + (26 - 17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h**2 - 10. Let u(v) = 30157*v**2. Give f(u(y)).\nAnswer: -3637778596*y**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2520 + 2524. What is the closest to 0 in y, 1\/2, -1\/59, -2?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, w: 3, h: 1}. Give prob of sequence oh.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35726499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 299193, 0.4, -4, 0.2 in increasing order.\nAnswer: -4, 0.2, 0.4, 299193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -12*z + 11*z + 3*t, 2*z + 3*t = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001000 (base 2) in base 13?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -51*x - 658. Give o(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -944*a**6\/5 - a**5\/20 + 1796*a**4\/3 - 3*a - 164. Find the third derivative of x(u) wrt u.\nAnswer: -135936*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - z - 116, 3*z + 105 = 3*t + 27. Solve 16 - t = -2*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 457471523*y**5 + 395190452*y**2.\nAnswer: 27448291380*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 148.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 8. Let r(a) be the third derivative of -a**4\/24 - 3*a**3\/2 + 222*a**2. Let p(c) = 2*d(c) + 3*r(c). Calculate p(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27105, 27317, 27529, 27741?\nAnswer: 27953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4281*u + 5*d + 61 = 4274*u, -5*d - 34 = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-60)\/12)\/1)\/(268\/536*4\/14).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -486, -1628, -3554, -6270, -9782, -14096, -19218?\n\"Answer: -k**3 - 386*k**2 + 23*k - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 13*t**2\/3 + 50*t\/3 + 56\/3.\nAnswer: (t + 2)*(t + 4)*(t + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1475 (base 12) to base 13\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 + 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 12\/707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232112102 (base 4) to base 10.\nAnswer: 451986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and 0.21117 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*s**3 - 135*s**3 - 146*s**3 + 411*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*i = -i + 2, 4*z + 5*i = 31. Let v be (-6)\/z*(1 + 37). Let o = v - -63. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -529?\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, 0.5, 1\/3, 2\/3, 19 in decreasing order.\nAnswer: 19, 2\/3, 0.5, 1\/3, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27*j**2*l - 105*j**2*m**2 + 2*j*l*m**2 + 2*j*m**2 + j*m - 2*l*m**2 wrt l?\nAnswer: 27*j**2 + 2*j*m**2 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*d - 11, 2*d = -12*y + 13*y - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -36, 7\/6, -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times -164.41\nAnswer: -27.9497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 481*c**2. Let q(v) = -188*v - 187*v + 373*v. What is h(q(n))?\nAnswer: 1924*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6 - 2, 1 = 3*s - 5*b. Is (-2)\/((-26)\/12 + s) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4200.\nAnswer: 1\/4200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 43*v**2 + 2*v - 84. Let s be r(43). Factor 2*d - 5\/2*d**s + 0 + 1\/2*d**3.\nAnswer: d*(d - 4)*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, -5*n - 4*f = -0*f - 10. Let t be 389996 + 6 + n + -4. What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8703 is divided by 1013.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = m - 20, -2*p + m + 3*m = -8. Suppose -3*h = 3*l - p*h - 73, 4*l = -5*h + 91. Calculate the lowest common multiple of l and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.499983521 + -25.5. What is l rounded to seven decimal places?\nAnswer: -0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9 and -338688.\nAnswer: -338679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6863 + 6940 + ((1 - -2) + 0 - 0)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 37*x - 236. Let v = -286 - -281. Let z(r) = 7*r**2 + 37*r - 238. Let n(w) = v*z(w) + 6*j(w). What is the derivative of n(y) wrt y?\nAnswer: 2*y + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276826 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30871 is divided by 490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.2 - 0.31608?\nAnswer: -27.51608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 - u - 1 - 7*u + 10*u. Let i be f(5). What is the units digit of i*7\/(42\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 52578 = g, 6*c - 11*c = -5. What are the prime factors of g?\nAnswer: 3, 5, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 + 3*z + 24. Let k be p(-5). Calculate the least common multiple of 9 and (k - 8)*(-32)\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*6*(-13)\/26. Put q, -4, 2, 0 in increasing order.\nAnswer: -4, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122 + -122?\nAnswer: -20021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/14)\/((-1050)\/735)*15. Which is the closest to -0.1? (a) 0.2 (b) 0.068 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451726.3l to millilitres.\nAnswer: 451726300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 756 and -70.082 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2590\/16835)\/(22\/104)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 331 = 287. Suppose 306 = o*g - 4*g. Suppose 5*z - 2*z = 12. Calculate the smallest common multiple of z and g.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-213)\/6)\/(4\/(-24)). Let z = -85 + c. What is the greatest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1939286, -1939283, -1939276, -1939265, -1939250, -1939231?\n\"Answer: 2*a**2 - 3*a - 1939285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.4, -3, -1444790?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -34. Calculate the least common multiple of 2 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-30 - -2) - 1 - (394 + -390)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 958 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 225*f**2 - 6*f + 8. Let q(s) = 673*s**2 - 16*s + 22. Give 11*o(a) - 4*q(a).\nAnswer: -217*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**2\/2 - 11. Let i(k) be the first derivative of k**3 + 1. Determine i(x(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-156))\/(10\/30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**2 - 5*z**2 - 2 - z**2 - 10*z + 12*z**2. Let g be p(11). Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 53*n + 633. Calculate the remainder when f(-23) is divided by 75.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 = 6. Let y(o) = 2*o + 2. Let j = -13 - -12. Let p be y(j). Sort p, s, 4.\nAnswer: p, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-632)\/(-158) - (-1 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {a: 1, z: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26157 - -37238. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1612749, -1612850, -1612947, -1613040, -1613129?\nAnswer: -1613214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 5, l: 2, t: 8, s: 2}. What is prob of picking 1 l and 2 p?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millimeter in micrometers?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = -3*n - 2*u + 6*u, 3*n + 4*u = -119. Suppose -6*w + 32 = -4*w. Let x = w - n. Calculate the highest common divisor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 2*j - 1. Let u(f) = 5*f**2 - 2*f - 1. Let l(s) = -3*k(s) + 2*u(s). What is l(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34911 take away 203149?\nAnswer: -238060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5252 and 1508.\nAnswer: 152308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.222cm to kilometers.\nAnswer: 0.00634222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(208) - ((sqrt(208)*-5 + sqrt(208))*4 - sqrt(208)) - sqrt(208))\/sqrt(4)).\nAnswer: -102*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**3\/3 - 17*s**2\/2 + 68*s + 24. Is k(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o - 2*h, -3*h + 18 = o + h. Let c be (3\/5)\/(6\/(-16)). Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2426.\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/33 - 108\/(-11). Suppose -h - i = -2*h - 4*q, 53 = 4*h + 3*q. Suppose -15*s + h*s = -4. Solve -t = -s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53985044?\nAnswer: 2, 13496261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88.31673 centuries?\nAnswer: 105980.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(612)*3 + sqrt(612) + sqrt(612))**2*-3*-1 + 5.\nAnswer: 45905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + (-2)\/(-30). Let g(j) = -41 + j - 36 + 75. Let u be g(0). Which is the closest to 4? (a) 0 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*5\/(-250) + 189\/350. Let q = -3281\/11 + 298. Do q and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288600 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56 + 70 - 9)*(34*k**3 + 66*k**3 + 8*k**3)*(-1 + 1 + k) to w + i*k**3 + x*k + b*k**2 + v*k**4 and give v.\nAnswer: 12636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*x - 2 - 1, 2*z = -x + 6. Suppose 2*m = 5*g - 150, -117 = -4*g + z*m - 2*m. Suppose 3*h = 4*b - 91, 11*b + 5*h - 175 = 6*b. Is g greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4788 + -0.8788. What is the fifth biggest value in -5, 35, y, 3, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3443 + -1342. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-182))\/((30\/(-4))\/(-5)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 24*i**3 - 4*i**2 + 183*i - 91. Determine v(0).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.99999957 - 12. What is n rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 96*s**2 - 2*s - 86. Give d(-48).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 198*f**2 - 129*f**2 + 388*f**2 - 3*f + (-5 - f + 5)*(-2*f + 0*f + f) - 4*f**2 + 3*f**2 - 4*f**2.\nAnswer: 453*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8854 and 1349433713.\nAnswer: 4427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5940819 and 9972?\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (-27 - -40) - 34 - -37\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -255, 5, -4.\nAnswer: -255, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 1\/6*w**3 + 0*w + 0 + 1\/12*w**4 + 3\/20*w**5 + 5*w**2. Give g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 26. Let s(k) = 2*k + 51. Let q(w) = -7*n(w) + 4*s(w). What are the prime factors of q(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 74.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2460 + 2462. Let f(g) = -g**2 + g + 2. Let u be f(3). Sort n, u, 10, 4 in decreasing order.\nAnswer: 10, 4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1385139 and -16?\nAnswer: 1385123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176639.1t to micrograms.\nAnswer: 176639100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**3 - 4*x**2 + 28\/3*x**6 - 314 + 3\/4*x**4 + 0*x**5 + 0*x. Find the second derivative of u(v) wrt v.\nAnswer: 1120*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 1, r: 2, g: 1, n: 1, k: 1}. Give prob of sequence rlr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-7))**(4\/7)\/(v*v**(6\/25)*v**5))**40 assuming v is positive.\nAnswer: v**(-13536\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 345 by 33.\nAnswer: 115\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47\/5 - -116\/15. Sort u, 0.07, 10 in descending order.\nAnswer: 10, 0.07, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**8*n)\/(n\/n**10)*((n**2*n)\/n)**37)**45 assuming n is positive.\nAnswer: n**4185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from edjjjjvuvvnu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxvfwxwtxxtxwxgg. Give prob of sequence gw.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1255, 1297, 1339, 1381, 1423, 1465?\n\"Answer: 42*x + 1213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2234 - -2237. Which is the smallest value? (a) f (b) 4\/5 (c) 0.4 (d) -2\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 335 + 262?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 10*h + 8. Let q be n(9). Let l(y) = y**3 - 17 + 11 - q - 8*y**2 + 21*y - 10*y**2. What is the units digit of l(17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8208) + sqrt(8208)*-1 + sqrt(8208) + sqrt(8208))\/(sqrt(3) - sqrt(300)*-2).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 207 and -0.1.\nAnswer: -20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w, m + 118 = 2*w - 4*w + 174 for m.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-200)\/2)\/25)\/((-6)\/(-9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198 + -162. Suppose -4*i - 8 = -w. Solve 0 = 4*b - 1 - i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 11*c**4\/24 - 11*c**3\/6 + c**2. Differentiate f(h) wrt h.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 27\/5?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 5014 + 2466. What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -54*f + 2040. Let d be v(37). What is the highest common divisor of 606 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/7 + (-8)\/(-28))\/(-2). Let r(c) be the first derivative of 0*c + 2 - 3\/2*c**2 + 3\/4*c**4 + g*c**3. What is the second derivative of r(o) wrt o?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 5*w**4\/24 + w**3\/3 - 2*w**2. Let u(v) = 2*v + 1. Calculate 6*g(q) - 13*u(q).\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*m = 380*m - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8\/33 - 2\/33. Let m be 93\/(-20) + (23\/(-4) - -5). Let k = m + 221\/40. What is the nearest to 0 in c, k, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.9 times -7.87?\nAnswer: -180.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 + -48. Let k be 6\/p - (-2)\/(-7). Let z = 330 - 1644\/5. What is the closest to 1 in k, z, -2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3269 (base 16) to base 14\nAnswer: -49bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -14105.\nAnswer: -56420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + r = -195 + 171 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 872*a + 947?\nAnswer: 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32845 + -24509. What are the prime factors of g?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-2 + -21) - (-1 + -7 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kka when three letters picked without replacement from {v: 2, a: 7, k: 7}?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7381 less than 7381?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/319 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 38*v**2 + 8*v + 4. Let t(x) = -x**3 + 4*x**2 + 26*x - 85. Let c be t(6). Let a be z(c). Calculate the greatest common divisor of a and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*d - 679*d - 27322 + 109877 = 0 for d.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 - 0) - (-32 - -38)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -334, -2, -3, 2 in decreasing order.\nAnswer: 2, -2, -3, -334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/2520 + q**5\/120 - q**4\/12 - 71*q**3\/6 - 2*q**2 - 33. Let x(j) be the second derivative of r(j). Solve x(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 1. Let h be 2 - -2 - (1 + m). Let -2*v**2 + 11*v - 11*v + h*v**3 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -789*f - 6019 = 30220 + 19780 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76905, 307617, 692137, 1230465?\n\"Answer: 76904*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039689.188 rounded to the nearest 10000?\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87680*u - 85955*u = -177675 for u.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/3 + 19*i**2\/3 - 157*i\/3 - 175\/3.\nAnswer: (i - 7)*(i + 1)*(i + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/(500\/600*(-4)\/(-20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 113, 124, 137, 152?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 - 26*u**3 - 52*u**2 + 80*u = 0 for u.\nAnswer: -10, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 478 = 577. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*n - 50, 271 - 361 = 2*n + 3*n + 3*y for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 74 and 40?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*b + 5*b. What is the third derivative of f**4 - 2*f**2 + 9*f**b - 3*f**4 + 5*f**2 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51585 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 521, 1039, 1559, 2081?\n\"Answer: d**2 + 515*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/2153 or -0.23?\nAnswer: 8\/2153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - q - 1, -3*v - q - 6 = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 1205126 and 5.\nAnswer: 1205131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5*u**4\/4 + u + 7. Determine p(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*l = -l + 5, 0 = -3*j - 4*l + 35. Suppose -12*u = -j*u. Let v(s) = 1 - 387*s + u*s**2 + s**2 + 381*s. Determine v(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/2)\/((-15)\/(-410)). Suppose 0 = 4*k - 3*u - i, -4*k + 164 = -u + 2*u. Suppose g - 10 - k = 0. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9307*j - 1066*j - 173061 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4720.1522.\nAnswer: -1416.04566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -11*d**2. Let u = -368 - -369. Let v(k) = 6*k - u + 0 - 3 + 4. Determine v(q(t)).\nAnswer: -66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8225532 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(3\/10)*u)\/u)\/(u*u**(1\/12)))**(-45) assuming u is positive.\nAnswer: u**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -104 and 1515?\nAnswer: -157560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66)\/(-33))\/((-1)\/2 - -1). Let t(m) = -6*m**2 + 3*m**2 - o*m**2. Let h(f) = 3*f**2 + 2*f - 2*f. Give h(t(j)).\nAnswer: 147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 w when four letters picked without replacement from {l: 2, x: 1, g: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 10. Let i be h(0). Let n(u) = -2*u**3 - 21*u**2 - 9*u + 20. Calculate the smallest common multiple of n(i) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 7*v**2 + 7*v + 1. Let c be m(-1). Solve -f = -2 - c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 267.2 + -267.2. What is the fourth biggest value in 1\/230, 2\/3, q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/120*-5 + 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.00006 - -31. Round h to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23588 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(1\/6)*c)*c)\/(c*c**(-8))*c**5\/c*c**(-8))\/((c\/(c**(-2)\/c*c))\/c**9*(c**(-1)\/c*c)\/(c**(1\/4)*c)) assuming c is positive.\nAnswer: c**(145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -3\/2 (c) 4 (d) -588 (e) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 - -2528. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 56370?\nAnswer: -56374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * -2.4336\nAnswer: 0.194688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -89, -166, -265, -386, -529?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 722, 2461, 5366, 9437, 14674, 21077, 28646?\nAnswer: 37381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1321 (b) 5644 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let l(p) be the first derivative of -2 + 2*p + u*p**2 + 2\/3*p**3. Factor l(j).\nAnswer: 2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 8 + 4. What is the derivative of 130 - 64*s**2 + 159*s**f + 82*s**2 wrt s?\nAnswer: 354*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23374703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1578 and -392.\nAnswer: 618576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92356259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 229412981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -5, -35, -95, -191, -329, -515, -755?\n\"Answer: -x**3 - 6*x**2 + 19*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 52.80175 millennia?\nAnswer: 5280.175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by 119\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 44. Let u = f + 39. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4672820841\/34 + -137446671. Let r = -10765 - q. What is the common denominator of -53\/8 and r?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 1896.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/44 and -29\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7*l + 70 = 0. Let o(w) = l + 0 + 1 - w. Let c(j) = -2*j - 4. Let z be c(-5). Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 12 = 2*u. Calculate the smallest common multiple of 20 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6732 and 1020?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -8 + 10 - -1) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21 - -965358)\/(7\/((-35)\/(-15))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g + 67*g + 13*g - g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**3\/2 + 2*u. Let r(a) = -9*a - 9138*a**2 + 9*a + 9087*a**2. What is y(r(c))?\nAnswer: 153*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 7*y + 2. Let l be h(7). Let w = 19 - -2. Suppose w = 4*o - 19. What is the greatest common divisor of l and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 2*m**2 - 25*m - 8. Let h be g(-6). Let t be 8\/h + (-17)\/((-51)\/126). Suppose -t*k + 24 = -34*k. Solve 5*z = -k + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16*t + 17*t - 1700 = 0, 12 = -3*t. Let j = c + -505. List the prime factors of j.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164819 and 989.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96 (base 10) to base 7.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omolmmglmlollso. What is prob of picking 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 1\/150*f**5 - 7\/15*f**2 + 7\/90*f**4 + 25*f - 1\/45*f**3 + 0. Factor s(a).\nAnswer: 2*(a - 1)*(a + 1)*(a + 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s. Let d(h) = -235*h - 1. What is c(d(q))?\nAnswer: -705*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91056177 and -5?\nAnswer: 91056182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*y + 307 = 0, 2*y + 192 = 5*m - 288. Let q = 116 - m. Solve q = -3*t + 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p + 3. Determine i(-6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11134011.\nAnswer: 3, 7, 257, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 7*q - 2*q - 753, 2*q - 189 = -u. List the prime factors of u.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41376564, -165506258, -372389080, -662025030, -1034414108, -1489556314?\nAnswer: -2027451648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*n = n - 10, -5*c = 3*n + 6. Let j(g) be the second derivative of 0*g**3 - 1\/6*g**4 + c + 1\/2*g**2 - g. What is the derivative of j(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(15))\/sqrt(3) - (sqrt(180) + 2*sqrt(180) - sqrt(20))\/sqrt(4).\nAnswer: -26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12951 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 103 and -0.02?\nAnswer: 103.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose 6 = k*q + q - u, -q = u - 6. Factor -20\/11*t**2 - 30\/11*t**4 + 2\/11 + 0*t + 8\/11*t**5 + 40\/11*t**q.\nAnswer: 2*(t - 1)**4*(4*t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 x when four letters picked without replacement from {s: 9, x: 1, k: 5}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-552)\/(-20)*(7755\/99)\/(-47)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -9.8.\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(-15) + (-6)\/10. Suppose -x + 4*a = -6, x - 3*a - 5 = -0*x. Suppose 47 = w*q + t, -3 - x = -5*t. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 f when three letters picked without replacement from {u: 3, f: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/551 and 55\/377.\nAnswer: 7163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 365.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3123422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 525873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286 and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + -1*sqrt(245)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 228 - 98. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 + 2*k - 5. Let d(c) = 4*c**2 - 5*c + 10. Let z(f) = 4*d(f) + 7*y(f). Let t(g) be the first derivative of z(g). What is t(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 85*g**2 - 14*g - 11. Let y(p) = -28*p**2 + 5*p + 4. Determine 6*o(x) + 17*y(x).\nAnswer: 34*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 17594763.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + 51 + 52768\/1054.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-9) - (-2)\/9. Suppose t - 3 + k = 0. What is the derivative of 11*g**2 - 11*g**2 - 2*g**4 - t wrt g?\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -391040 by -32.\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, a: 1, g: 11}. What is prob of picking 1 a and 3 q?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 0*t - 2*t**4 - 10*t**3 - t as y*t + f*t**3 + s*t**4 + u + d*t**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 25, 17, -11, -65, -151, -275, -443?\n\"Answer: -m**3 - m**2 + 16*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 283*g - 36. Calculate y(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 683026?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 39, 103, 213, 381, 619?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 149. Let p = 3 - 2.8. Let b = p - 0.2. Sort l, b, 2 in decreasing order.\nAnswer: 2, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 11*k + 1. List the prime factors of g(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -7.1, 33678?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 32. Suppose 0 = -2*c - 0 + a. Solve c*s = -s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Suppose -2 - v = -4*x. Is -0.02 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, e: 7}. Give prob of picking 2 e.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 16) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -12, -4 in increasing order.\nAnswer: -18, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7 + 9)*3)\/(-11).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11878, 18980, 26082, 33184, 40286?\n\"Answer: 7102*y + 4776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -13. Let n = 5 + y. Is 2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-5 - (-4)\/(120\/126)) + 580\/(-3900)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, s: 4, z: 2}. Give prob of sequence zxs.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 357 + -347. Suppose -2*s = g - 210, -10*g = -5*g - i. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196391334 rounded to the nearest ten thousand?\nAnswer: 196390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 792 = -10*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wil when three letters picked without replacement from {i: 3, w: 1, l: 2, a: 1, s: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 4*p + p)*(10*p + 9*p**2 - 10*p) + (0 + 9 - 3)*(2*p**3 - 4*p**3 + 0*p**3) to the form v + s*p**3 + b*p + q*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.00934 - -133.99066. Sort j, 1, 2.\nAnswer: 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 33*i + 106. Suppose 23*z + 84 = -5*z. Calculate the least common multiple of f(z) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229009272?\nAnswer: 2, 3, 41, 211, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 4*y - 30 - 9 as a*y + l and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -47\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 98*c**2 - 14*c + 7. Let q be i(-6). Let a = 9495\/8 + q. What is the common denominator of a and -75\/26?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114*i**3*m**2 + 558*i**3 - 26*m**4 wrt m.\nAnswer: 228*i**3*m - 104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378361, 1378411, 1378491, 1378601?\nAnswer: 1378741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, f: 1, d: 2}. Give prob of sequence kvd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(-70*((-1368)\/36)\/(-114))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 58\/4 - 2\/(-4). Suppose -4*n + 4*d + 192 = 0, -4*d + 6*d = 4*n - 186. What is the greatest common factor of n and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*q + 35, -56934*l = 5*q - 56939*l - 5 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000547963394 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 181 = w - 11*b, -5*b - 15 = 0. What is the highest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.37 plus 0.04?\nAnswer: 28.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -19*x. Let n(q) = -10*q + 108. Let l(w) = -w - 12. Let d(z) = -18*l(z) - 2*n(z). Calculate -13*a(u) - 6*d(u).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1782 - 1120. Suppose 3*c = -4*u + w, c - 4*u = -u + 199. What are the prime factors of c?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 minus 2196?\nAnswer: -1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**4\/3 - 8*w**3\/3 - 28*w**2 + 440*w\/3 - 350\/3.\nAnswer: 2*(w - 5)**2*(w - 1)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13836308, 27672645, 41508996, 55345367, 69181764, 83018193, 96854660, 110691171?\nAnswer: 124527732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77564519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2565*u**2 - 27*u - 1762. Let d(k) = -10261*k**2 - 99*k - 7049. Let m(h) = -3*d(h) + 11*p(h). Find the first derivative of m(g) wrt g.\nAnswer: 5136*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/31850 and 16\/147?\nAnswer: 95550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 - 327*r**2 - 324*r**2 + 650*r**2 + 8*r. What is z(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 822439.4 days?\nAnswer: 71058764160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (-15)\/6)*270. Let h(g) = -g**3 - 6*g**2 - 9*g. Let b be 5*(-3 + 18\/10). Let x be h(b). Calculate the highest common factor of x and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 92 = -5*x. What is the units digit of (-14)\/(-63) - (-2588)\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**3*k**2 + 302*c**3 - 794*c**2*k**2 wrt c?\nAnswer: -6*k**2 + 1812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35595.67*0.3.\nAnswer: 10678.701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5 - 5. Let s be (-11)\/(-5) + (-2)\/g. Let c be 6\/(6\/s) - -14. Solve 0*f = 4*f - c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - i + 0*i + 23*i**2 - i.\nAnswer: 23*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54653609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.84391 + -0.04391. Which is the fourth biggest value? (a) -0.6 (b) 1 (c) -5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -248*l + 105*l + 48*l + l - 2*l + 0*l + (-1 + 3 - 1)*(-2*l + 7*l - 3*l) + 3 - 3 - 2*l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11.1266 centuries?\nAnswer: 1112.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -27*z + 38*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 75, 82, 89, 96?\n\"Answer: 7*o + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltcqtqqplqtstcp. Give prob of sequence qc.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, -48 in ascending order.\nAnswer: -48, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11703.5 + 11704. Suppose 28 = 2*p - 6*p. Sort j, p, -2\/3, 0 in descending order.\nAnswer: j, 0, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 547477 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1501722091 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**6\/210 - r**5\/210 - 2*r**2. Factor k(c).\nAnswer: 2*c**2*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*2*1 + sqrt(1872) + ((sqrt(1872)*-2 - sqrt(1872))*6)**2)*-3.\nAnswer: -1819584 - 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(3 - 6) + (-1 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -2)\/(0 + 1). Let o(d) = d + 7. What is the remainder when o(0) is divided by 2\/8 - 15\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17242965 and 10701?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:11 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61\/4 - 5067\/332. Which is greater: -5\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846300 by -420.\nAnswer: -2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/7)\/(a\/(a**(1\/2)\/a))*a**0*(a*a**3)\/a*(a**(3\/2)*a**(-1))**(9\/5) assuming a is positive.\nAnswer: a**(94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2633 * -75.5.\nAnswer: -198791.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {o: 4, w: 7, y: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 94644184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**4\/12 + v**3\/6 + 4*v. Let j be b(-2). What is j rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 + 73. Calculate the highest common divisor of p and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 10*r - 6*r**2 - 9*r**2.\nAnswer: -4*r**2 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178543100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466520808.\nAnswer: 2, 3, 13, 73, 20483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**2*p**3 + 3*d**2*p**2 + 49*d**2*w + d*p**3*w - 9*d*p**2*w + 32845*p**3*w + 1134*p**2*w - 2*p*w wrt p.\nAnswer: -24*d**2 + 6*d*w + 197070*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-1 - -1)) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 48. Let s(w) = -2*w + 24. Give -4*i(a) - 7*s(a).\nAnswer: -2*a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l + 13*l - 5*l - 7 - 5*l. Let p be (-9)\/(-3) - (1 + 2). Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2680042.22335 + 413498.20625. Let z = -2266649 - y. Let v = z + 105. What is v rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 88 = 2*b. What is the units digit of ((-33)\/b)\/((-2)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + r**2 + r**4 - 4 - r**3 + 2*r - 2*r to the form p*r**4 + d*r**2 + h*r**3 + y + m*r and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 4*m**5\/15 - m**4\/24 + 107*m**2. Give v(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*k + k - 2*k - k to f*k + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2791*s**2 - 1559*s**2 + 3421*s**2 + 3*s**2 + s**2 - s**2 + (-2*s + s + 2*s)*(0*s + 0*s - s) as b*s**2 + z*s + w and give b.\nAnswer: 4655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -149813 divided by -74\nAnswer: 4049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 5. Let r = -2 - -4. Suppose -r*i = -2 - 0. Is i less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 110 = 2*p. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 27*w - 25*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1036)\/1608 + (-12)\/(-18). Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*o**2*u**2 - 13*o**2*u - 3023*o**2 - o*u**2 - o*u - 3633*u**2 - u wrt u?\nAnswer: -36*o**2 - 2*o - 7266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (2 - (19 - 4)). Suppose 3*b - 13 + 7 = 0. Find the third derivative of 2*x**3 - 4*x**3 + 4*x**b + 0*x**3 - t*x**3 wrt x.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -17 + 4 + -1 + 26 - 71.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 18137002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -59483.6 times 151?\nAnswer: -8982023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -63*q + 199. Let g be j(9). Let p = g - -770. List the prime factors of p.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2 + 112 + 7*g**3 + 113 - 196 - 14*g**4 wrt g?\nAnswer: -336*g + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 3*t**2 - 20*t - 330. Suppose -4*i + 17 = -15. Is 14 a factor of c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 r when four letters picked without replacement from {m: 1, r: 3, w: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 42, -47, -302, -807, -1646?\n\"Answer: -14*i**3 + i**2 + 6*i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 56 = 0. Calculate the remainder when 28 is divided by 3 + f*(-2)\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -9 - (-1 - -3) - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/434 and 173\/5580.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18409 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m**3 - 403866*m**2 - m + 25094883 wrt m.\nAnswer: 12*m**2 - 807732*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 107208 divided by 8\nAnswer: 13401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -4.7, 18828, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = -8. Sort 38, w, -2 in descending order.\nAnswer: 38, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280476 and 189?\nAnswer: 280476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 937*f + 3. Calculate b(1).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/8 + c**3\/6 - 2*c**2. Suppose -2*q + 13 = 3*f, 4*f + 0*f = -3*q + 20. Suppose 0*v = -4*v + q. What is n(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11*j = 7. Is j\/(13\/(-2)) - 13037\/(-13) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -17, 12, 5 in increasing order.\nAnswer: -17, -13, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -639 - -643. Let d(n) be the first derivative of -2*n - 3 - 2\/3*n**3 + 2*n**2 - 1\/4*n**j. Determine d(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-q**2 - 2 + 2).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, m: 7}. Give prob of sequence lm.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21228980 and 517780.\nAnswer: 21228980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-43 - -15) - 41?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -238, -219, -200, -181?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 198*y - 8111. Calculate b(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9059717 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262646 - 117645. Let g = f + -145064.9971. Let k = 64 + g. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 + 7*b**3 - 5*b**2 + 14*b**3 + 3*b**2 + 15*b**3 - 35*b**3.\nAnswer: b**3 - 9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**4 - 3*h**3 + 22*h**2 + 18*h. Let d(o) = -4*o**4 + 4*o**3 - 19*o**2 - 21*o. Let i(t) = -6*d(t) - 5*m(t). Find y such that i(y) = 0.\nAnswer: -9, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 38*s - 1 + s**3 + 5*s**3 - 38*s. Suppose 2*i - 2 = -12. Let m(v) = 12*v**3 - v - 3. Let c(x) = i*z(x) + 2*m(x). What is c(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1008 and -71\/23109954?\nAnswer: 554638896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = -0*f. Suppose 1 - f = -k. Let x(c) = 105*c**2 + 3*c + 2. Let j be x(k). What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -393*o**3 + 2*o. Let u be v(1). What is the second biggest value in u, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 463 = 3*c + p, -2*c = -p + 2*p - 310. Let g = c - 150. Suppose -10*u = -g*u. Solve 2*a + 2 = -u*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1330787?\nAnswer: 1330787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 222, 7, -4 in increasing order.\nAnswer: -4, -1, 5, 7, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011011 (base 2) in base 9?\nAnswer: -658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*r + r. Let x be (-86)\/(-30) - 2\/(-15). Suppose x*m + 12 = h, -h - 4*h - 4*m - 35 = 0. Sort h, -1, r.\nAnswer: r, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1099, 1104, 1109, 1114?\nAnswer: 1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) 0.1 (c) 1\/2 (d) 1182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31812)\/(-556710))\/((-2)\/(-2870))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2367 + 2200 - 4003)*(-2*u + 3*u - 16*u) to d + o*u and give o.\nAnswer: -8460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 1\/18*p**4 + 0 - 6*p**2 + 7\/9*p**3 - 4*p. Factor v(l).\nAnswer: 2*(l - 2)*(l + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -347, -340, -323, -290, -235, -152, -35?\n\"Answer: b**3 - b**2 + 3*b - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(13))**2*3.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-2)*12\/80 - 12\/(-20).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -747*p + 2. Let q(o) = 775*o - 3. Calculate 3*k(g) + 2*q(g).\nAnswer: -691*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -6*t - 5 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 + 4*i - 10. What is s(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 8:28 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/6 - 14653*m**4\/3 + 14652*m**3 - 43955*m**2\/3 + 29303*m\/6 = 0.\nAnswer: 0, 1, 29303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4592968 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - q)*(-84 + 356 - 194) - 4*q - 2*q + 0*q.\nAnswer: -84*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1018759*f*i**3 + 126*f*i**2 + 2*f*i + f + i**6 - i**3 + 4*i**2 + 5 wrt i?\nAnswer: 6112554*f + 120*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence paf when three letters picked without replacement from {f: 1, c: 2, b: 2, p: 4, a: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/816 and 65\/209168.\nAnswer: 627504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-16))**(-6\/11))**(5\/3) assuming p is positive.\nAnswer: p**(160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*o - o = -8, 5 = -w + o. Let m be 1059*(-2)\/w + 3. Suppose 4*t = m + 316. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijjjjjiijjyyijijjj. What is prob of sequence jji?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -489*a + 404. Is g(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from ddidaddadidaa.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -22, -46, -92, -166, -274, -422?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -0.41. Let n = -916 - -914. What is the closest to n in -0.3, k, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4205.581 - 4206. Which is the nearest to 0? (a) 1\/4 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3)*s*s**5)**(1\/51)*(s**(-1)*s*s*s*s**(-3))**(1\/76) assuming s is positive.\nAnswer: s**(1063\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54048068?\nAnswer: 2, 23, 311, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from ccszszrczzcccc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/90*-9*240\/(-84))\/((-26)\/6).\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.244 + 0.044. Let b = f + 12.1999914. What is b rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.18 (b) 9 (c) -1 (d) 11 (e) 4\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*h - 70*h = -5*i + 7, -5*i + 16 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/255 - 7*h**5\/510 - h**4\/102 - 7*h**2 + h. Find c, given that q(c) = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**6\/40 + 7*z**3\/6 + 4*z**2 - 4*z. Let j(g) be the first derivative of v(g). What is the derivative of j(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - r + 3. Let x(n) = 226*n - 220. Let g(t) = 2*u(t) - x(t). Find h such that g(h) = 0.\nAnswer: 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 262.474 and -199.\nAnswer: 63.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 599267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 20*u - 425. Calculate j(15).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 2422*i**2 + 2424*i**2 + 52*i + 7*i - 16 as w*i**2 + j + k*i and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from cwwbwbbwhbwwhbwhb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 335018 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:13 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**5 + 2*q**4 - 2*q**4)*(-3 - 7 + 1).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utu. Give prob of picking 1 u and 1 t.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 102\nAnswer: -5\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -63, -60, -55, -48, -39, -28?\n\"Answer: a**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 454 and 15265069?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 24*y**2 - 33*y + 2. Let n be b(23). Which is greater: n or -229?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -12 - -13) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -24*m**2 + 5*m. Let q(n) be the second derivative of -5*n**3\/2 - n - 162. What is y(q(w))?\nAnswer: -5400*w**2 - 75*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23382 divided by 59?\nAnswer: -23382\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*w = 270 - 256, -w + 3 = 2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*u - 155*u**3 + 127*u**3 + 969*u**2 - 856*u**2 - 17 - 6 wrt u.\nAnswer: -168*u + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gngggbngbbvvzgbbbbgg. Give prob of picking 1 b, 1 g, 1 v, and 1 n.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692331749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l + 36. Let d(x) = 2*x**3 + 60*x**2 + 61*x + 86. Let h be d(-29). Calculate the remainder when 105 + l + 5*h is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4407818390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21.451 times -0.4\nAnswer: -8.5804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/4069?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 5\/9, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4848388? (a) 1\/4 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.48084 * -3.\nAnswer: -7.44252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**3 - 38 + 6742*s - 6742*s. Let b(z) = -7*z**2. Calculate g(b(u)).\nAnswer: -147*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64\/23, 3, -439 in ascending order.\nAnswer: -439, -64\/23, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g - 4*g + g)*(0*g + g - 2*g) - 3*g**2 + 0*g**2 + 2*g**2)*(3*g**3 + 4*g**3 - 5*g**3).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-384)\/(-100) + -4)\/((-4)\/10). Which is the smallest value? (a) 2.8 (b) 2\/21 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 26, 68, 138, 242, 386, 576?\nAnswer: 818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 12*b**2 - 11*b - 7. Let x = 12218 - 12207. Determine z(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29289257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**6\/225 + 7*f**5\/300 - f**4\/30 + 7*f**3\/6 + 4*f**2. Let n(b) be the first derivative of g(b). Factor n(r).\nAnswer: 2*(r + 2)*(4*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7 = 2*o, 0 = -o - 0*n - 2*n - 1. Let s be (1 - (5 + -30)) + 1\/o. Solve -3*h = 3*t + s, 5*h = 2*t - 5*t - 37 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 3*v + 13. Suppose -5*c = 3*y - 88, -c + 53 = 2*y + 6. Let q = y + -15. What are the prime factors of b(q)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231*95\/87780*(-24)\/14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.03 (b) 5 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 49. Calculate the remainder when 68 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 60 = 2*j. Let p(v) = v**3 + 6*v**2 - 4. Calculate the remainder when p(-3) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Suppose 0 = c - i. Suppose -2*n - c*y - 4 = 0, n + 7 = -5*y - 3. Is -8\/3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n + 452. Let k(r) = 42*r. Determine k(b(s)).\nAnswer: 378*s + 18984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 60. Suppose 5*a + u*n - 12 = 18, -2*a + 2 = -3*n. Suppose 4*h = a*v - 16, 3*h - 6 = -15. Is v greater than 2\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -1224a?\nAnswer: 12258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-70) - 3\/5. What is the nearest to x in 3, -1\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*q - 957 + 1701 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((-15)\/(180\/(-32))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from zdw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -66. Let x(q) = q. Let f(l) = -l - 3. Let s(v) = 3. Let g(m) = 5*f(m) + 4*s(m). Give n*x(r) - g(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11330957 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52.911 * 0.3.\nAnswer: -15.8733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 5, 15423, -0.14, 2, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-13 + (21 - 15) + 3 + 9)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let c be 26\/(j*3\/36). Suppose 5*u = 2*b + c, 0*u + 3*u - 3*b - 66 = 0. Calculate the remainder when 59 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135210480 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, n: 1, d: 6}. What is prob of sequence nc?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 times 0.04?\nAnswer: -0.00208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -20200022122100?\nAnswer: -20200022122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-20)\/12)*-47 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 - 15579*o\/4 - 3895\/4 = 0. Calculate o.\nAnswer: -1\/4, 3895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**4 - 4*q**3 + 14*q**2 - 4*q.\nAnswer: -2*q*(q - 1)*(q + 2)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59.8285 and -17?\nAnswer: -1017.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(150\/(-2535))*-6. Calculate the greatest common factor of 117 and t.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 164, 243, 316, 377, 420, 439?\n\"Answer: -g**3 + 6*g**2 + 68*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9347 is divided by 132.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-2\/15)))\/d*d**4\/d)\/(d**(-2\/5))**2)\/((d**7*d**(-1\/12))\/((d\/d**(2\/11))\/d*d*((d**(-1)*d*d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-151\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845585 is divided by 845548.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4231.125mm?\nAnswer: 0.004231125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4500)*2 + -3*3*sqrt(45) + -2.\nAnswer: -2 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*v**5 + 119*v**4 + 4*v**3 + 95*v**2 - 105*v.\nAnswer: 540*v**2 + 2856*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -14. Suppose -3*c = -5*j - 48, -12 = -0*j - k*j. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3020 - 3009. Let s(a) = 5*a - 3. Let t(b) = -15*b + 8. What is j*s(k) + 4*t(k)?\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/5)\/(52\/(4680\/18)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3*m**(-3\/2)\/m)\/(((m\/(m**(3\/2)\/m))\/m)\/m**(-4)) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.449 and -1.\nAnswer: 3.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93.1 - 84. Let y = -9 + f. What is the closest to y in -1, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:51 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7587238639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 7. Let l be w(4). Let c be (-2422493)\/932 - 23\/(-92). Let u = c + 2599. Is u greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21\/26, 5, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 428 + 67. What is the highest common divisor of 33 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12836387149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l - 2*y = -36, 3671*y - 15 = l + 3676*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 - -55. What is the remainder when (l\/(-6))\/(42\/(-10836)) is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2060 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36157 or 36101?\nAnswer: 36157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2 - 270*g + 1769. Calculate o(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 469 + -469. Solve -7 - 5 = 4*m + 4*d, u = -m + d + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 12, -3\/5, 130, -4, -0.1?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31656 and 23742.\nAnswer: 94968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9900033 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 102*x - 801. What is the tens digit of k(50)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61610293?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 91508108?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 214 + 343\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:34 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 1\/12*b**5 + 5*b**2 + 0*b**4 + 0*b + 0*b**3 + 0 + 1\/30*b**6. Find the third derivative of h(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 104*k - 224.\nAnswer: 4*(k - 2)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - 0.11. Let q = -0.3 + 0.2999995. Let w = v + q. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193518\/487 equal to -398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9490 - 9455.161. What is p rounded to one decimal place?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 1, t: 1, x: 2, k: 4, b: 1}. What is prob of sequence kdx?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -53*q**2 - 20*q + 26. Let k(m) = 18*m**2 + 7*m - 9. Let n(a) = -11*k(a) - 4*v(a). Let s be n(-5). Suppose -23*y + 20*y = -s. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20237 + -20237. Let s = -0.1 + 0.4. What is the second biggest value in s, 4\/9, l, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12336 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/459*3\/4*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 8*g - 48. Let l be a(12). Suppose l = -13*m + 9*m + 660. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/1*(-56)\/63. What is the nearest to 2 in 3, -4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121.7156667 + -2201.2794593. Let r = 2323 + s. What is r rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 63 = 9*s. Suppose 12*g - s*g - 348 = 0. Let l = g - 60. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12465.1 - -11206.03.\nAnswer: -1259.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 + 5*p**4 - 3*p**4 + (p**4 + 0*p**2 + 0*p**2)*(-2 - 4 + 3) + (2*p - p - 2*p)*(0*p**3 - 6*p**3 + 4*p**3).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13528969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 4924 - 734*r**3 - 40*r + r**2 + 38*r - 4925 as y*r**2 + m*r**3 + q*r + v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.260327 grams?\nAnswer: 8260327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.5. Suppose 0*x = -x + 10. Suppose 2*k - x = 7*k. Sort k, n, 5.\nAnswer: k, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 21, -3, 5033 in ascending order.\nAnswer: -6, -3, 21, 5033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -19*s**2 + s - 4. Let q be l(-3). Let t = 184 + q. Solve 2*k = 2*b - 4, -16 = 3*k + b - t*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 616?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 244 divided by 4331169\nAnswer: 244\/4331169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.3 (c) 1\/8 (d) 80 (e) -335\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-4*sqrt(24)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bbizz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174882 = 102*i + 182736 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - -10?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:52 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*(2*o - o + 2*o)*((2 - 2 - o)*(0 + 0 - 2) + 5 - 5 + 2*o - 2*o + 2*o + 3*o).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**4\/3 - 29920*d**3\/3 + 44760320*d**2\/3 = 0?\nAnswer: 0, 2992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 572317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 811, -4.\nAnswer: -4, 4, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 155, 147, 137, 125, 111, 95?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3112 - 0?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/12 - 14935*w\/12 - 24875\/2.\nAnswer: -(w + 10)*(w + 14925)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 140, 203, 256, 293?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -365.\nAnswer: -2\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 225.018 + 0?\nAnswer: 225.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 90 = 23*v. Suppose -v + 246 = 3*k. Suppose 60 = 2*w - 2*z, 4*w - z = k + 63. What is w rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*o + 0*o**5 - 5*o**5 + 2*o**2 - 14*o**6 + 253*o**6 - 352*o wrt o?\nAnswer: 28680*o**3 - 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2716 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683280 is divided by 1784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/355 and -23\/284.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 5:45 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -q - 6. Let c(j) = j**3 - 6*j**2 - 6. Let z(t) be the second derivative of t**5\/20 - 7*t**4\/12 - 7*t**2\/2 - 5*t. Give q*z(l) - 7*c(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13975, 27966, 41961, 55960, 69963?\nAnswer: 83970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 3, -6, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49128831889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y + 1031 + 14025. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 1284*i - 62870. What is j(-1233)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -15. Let k = -16 + h. Find the common denominator of (k + 212\/64)*4 and -49\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59.9? (a) 0.4 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -16.92.\nAnswer: -8.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 - 8*y + 9. Calculate p(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - v + 4 - 2*v - 4 + (v + 2*v - v)*(-8 + 8 - 7))*(2*v + 2 + 1 - 2).\nAnswer: -30*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936 a factor of 14838739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09656 less than -8650098357?\nAnswer: -8650098357.09656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1676854 - -1676821.993575. Let g = s - -32. Let j = g + 0.006. What is j rounded to five decimal places?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7597162 is divided by 124.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 820361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = -72 - 12 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31909?\nAnswer: 17, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - z**2 + 3*z + 17. Let h = -74 - -74. Let w be s(h). Suppose k - 22 + w = 0. Solve 1 = k*f + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/7 + 75*s**2\/7 - 748*s\/7 + 96.\nAnswer: (s - 8)*(s - 1)*(s + 84)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 5914 = 2367. Is 74 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/56 + 59\/168. Let s(p) = 5*p - 7. Let u be s(2). Which is the nearest to n? (a) 4 (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 142. What is the greatest common divisor of 441 and f?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2366815*m*q**3 + 51*m*q**2 - m - 445*q**2 wrt q?\nAnswer: -14200890*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1344*f - 1213 - 154*f - 251*f - 104 wrt f?\nAnswer: 939","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 211.\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 12705000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 165\/4*j**3 - 42*j**4 + 0*j**2 + 0*j + 3\/4*j**5.\nAnswer: 3*j**3*(j - 55)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + 8. Suppose -2*i - 29 = 5*w + d, 5*w + 36 = i. Is 2\/w - (-1095)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/5)*r)\/(r\/r**(-1\/10)))\/(r**(-1\/3)\/(r*r*r\/(r*r**6))) assuming r is positive.\nAnswer: r**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -6) + -8 + 6 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24363 + -0.0793\nAnswer: 24362.9207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1144 by 1289.\nAnswer: 1144\/1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -127. Is (10\/(-8) - (-18)\/b) + 20 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 3*w + 0*w)*(71*w + 68*w - 19*w**2 - 140*w + (2*w + 1 - 1)*(-3*w + 5*w - 4*w)).\nAnswer: -46*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-12))\/(4\/(-16)). What is z rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733.\nAnswer: 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - k**2 - 2*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventy-five halves of a millimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -275.3, 321, 19?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 - -214. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 712\/3*w - 50\/3*w**4 + 1470*w**3 + 0 + 1184*w**2.\nAnswer: -2*w*(w - 89)*(5*w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23444*q - 28855*q + 24452*q.\nAnswer: 19041*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1945307?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*x + 2 - 2. Let c be 13 + ((-25)\/5 - x). Suppose c*v = 3*v - p + 6301, -2*v + 2542 = -5*p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -217 + 369*y - 218 + 646 - 211 to the form d*y + j and give d.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4bc7 + -a5?\nAnswer: -4c9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 111, 126, 151, 186?\n\"Answer: 5*k**2 + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x*x)\/(x*x\/x**(2\/5))*(x**(-1)*x)\/x**2*(x**(3\/5)\/(x**(-2)*x))**(10\/7) assuming x is positive.\nAnswer: x**(34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/(-12)*66\/(-15). What is the units digit of (-1410)\/(-110) + 2\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 2*y - y**2 + (0*y + y + y)*(-y + 4 - 4) - 2 - 3*y + 3*y - y**2.\nAnswer: -4*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t. Let q(y) = 65*y**2 - 8*y + 4. Let o(m) = 6498*m**2 - 798*m + 399. Let a(l) = 4*o(l) - 399*q(l). Determine k(a(s)).\nAnswer: 570*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssg when three letters picked without replacement from ggss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0*j**3 + 0 + 1\/20*j**5 + 2*j + 0*j**2 - 1\/42*j**4 - 1\/42*j**6. Factor p(x).\nAnswer: -x**2*(x - 1)*(5*x - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7182?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5)*r**(-29)\/r assuming r is positive.\nAnswer: r**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p + 1840 + 1254 - 1611 + 388*p**2 + 1275 wrt p.\nAnswer: 776","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 14)\/(-4) + 52. Differentiate -112*y**3 + 56*y**3 + w*y**3 + 32*y**4 - 57 wrt y.\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 - 55. Solve v = -t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Suppose b*x - 36 = 66. Suppose 0 = -7*s + 5*s - 5*u + 34, -58 = -5*s + u. Calculate the remainder when x is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 247 + -246. Let y(s) = 14*s**3 - 9*s**3 + 2 + 11*s**2 - 7*s**2 - 5*s. Let c be y(k). What is the greatest common divisor of 48 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j, 3*v - 3*j = -156. Which is the nearest to -2\/5? (a) 2\/9 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821860883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 7*p - 10. What is v(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 10:57 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 7. Let l be a(-6). Let s = -256 + 292. Let d be (s\/3 - 2)*1. Calculate the greatest common factor of d and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-507)\/26*684\/988?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9267778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxxejeeecpx. What is prob of picking 1 e and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x + 91 = -29. Let d(k) = k**3 + 5*k**2 + 9*k + 5. Let m(u) = -u**2 - u - 1. Determine x*m(b) - d(b).\nAnswer: -b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 9 = -0*a. Let y be (-29 + 2)\/a + -3. Find the first derivative of 3*d**2 + 0*d**2 + 0*d**2 - 2 - y*d**2 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 447\/5, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (225\/6)\/(10\/20) is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 + 46 = 2*t, -t - 22 = -k. Let h = k + -1. Suppose -h = -2*f + f. What is the greatest common factor of f and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 4*m - 2*m)*(-5 + 4 + 30)*(-3 - 4 + 4).\nAnswer: 174*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9}. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4222 + 242142432?\nAnswer: 242202204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*x**4 + x**3 - 103 + 42 + 5*x**4 wrt x?\nAnswer: 60*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1)*(w**2 + w**2 + 0*w**2 + (-4*w + 2*w + 0*w)*(-5*w - 5*w + 4*w)).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 7:02 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -5*n + 9*c + 35, -n - 2*c = -11. Let h(j) = -7. Let a(y) = y + 6. Determine n*h(s) + 4*a(s).\nAnswer: 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 702 and 260?\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14974 by -2867.\nAnswer: 14974\/2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/132)\/(-9 + 4 - 1988\/(-392)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18468 + 18467. Sort -5\/6, p, -3, -16, 0 in decreasing order.\nAnswer: 0, -5\/6, p, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170025540 + -170702584.816. Let q = m + 677008.5159827. Let z = 36.3 + q. Round z to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3 - 141\/48). Suppose 5*g - c = 3*g. What is the least common multiple of g and 3 + (-27)\/((-72)\/8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggggggggggggyggggg?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f + 0*f - 973693*f**2 + 973529*f**2.\nAnswer: -164*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4242*n + 970512 = 11563*n + 55387 for n.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 3\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28412847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.056 - 30.944. Let t = -27 - d. What is the closest to 0 in -2, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 3*m + 3. Let p be j(-4). Let d = -592\/5 + p. Sort d, -1\/3, -2 in increasing order.\nAnswer: -2, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.763208 milligrams?\nAnswer: 0.000009763208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 4*z - 2206, 0 = -2*w - 2*z + 2194. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1830\/53 + 6439876\/186507. Is 1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -4*r + 6*x + 18, -4*r - 2 = -2*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**3*o)\/o)\/(o*o\/(o*o**(3\/5)))*o**4\/(o*(o**(2\/31)*o)\/o*o*o*o*o))**(4\/15))**(1\/57) assuming o is positive.\nAnswer: o**(952\/132525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/7, 1\/3, -5.76, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - l + 33 = -1, -2*z + 4 = -4*l. Let r = 20 + -18. What is the greatest common divisor of r and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*p**5 - 63*p + 63*p + (5*p**4 - 3*p**4 + 2*p**4)*(4*p - 6*p + 3*p).\nAnswer: -144*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) 7\/25 (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491 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: Let c be 1\/2*24\/6. Let o(x) be the second derivative of x**3 - 1\/6*x**4 - x - c*x**2 + 0. Factor o(t).\nAnswer: -2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272851 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-3 + 4 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 123*c**5\/20 - 208*c**2. Let d(k) = -k. Give d(x(y)).\nAnswer: -369*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3318?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**8\/112 - z**7\/105 + z**6\/120 + 4*z**2. Factor r(b).\nAnswer: -b**3*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -74758 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226823\/2859 + -3\/953. Is s smaller than 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -2*sqrt(77)*-4)\/(sqrt(11) + sqrt(11) + (sqrt(11) - -5*sqrt(22)\/sqrt(2)) + sqrt(11))*1 - (-1 + 1 + 4 + 0 + sqrt(847)))**2 + -3.\nAnswer: 80*sqrt(7) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9 - 2\/(-6). Let k be (-4)\/14 + (-506)\/42. Let o = k + 12. Which is bigger: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/((-9)\/(-63) - 3\/70). Let f = 72 + y. Is f a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 + -40 + 5 + -4 + 22 - 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - 8. Suppose -a = 21*w - 25*w. What is the third derivative of 388*q**2 - 392*q**w - 5*q**4 - 12*q**4 wrt q?\nAnswer: -408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 3582932.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -4731, 3, 1, -29 in descending order.\nAnswer: 7, 3, 1, -5, -29, -4731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -j + 17, -j + 3*s + 18 = 0. Let y be (2 - 0)*66*(-2)\/(-4). Let p = y + -21. Calculate the highest common divisor of j and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-3760)*((-105)\/(-1155))\/(3\/165)?\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -202220201000?\nAnswer: -202220201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**3*s**2*t**3 + 3*l**3*s*t**2 + 39*l**3*t**4 + 4*l**3*t - s**2 + 8*t**2 wrt t?\nAnswer: 36*l**3*s**2 + 936*l**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 10) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -1880, 1, -46.\nAnswer: -1880, -46, -26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1 - 2\/3*p**3 - p**2 + 0*p. Find the second derivative of l(o) wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/((-28)\/(-8232)*49).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/10 + 6 + (-140)\/25. Let r(z) = -z + 1. Let k(b) = b**2 + 7*b - 7. Let v(x) = f*k(x) - 21*r(x). Let a(u) = 11*u. Determine a(v(i)).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26, 410, 792, 1172?\n\"Answer: -b**2 + 387*b - 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.5 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -191*q. Is h(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287034*i**6 + 15*i**4 - 352*i**2 - i - 8645 wrt i?\nAnswer: 34444080*i**3 + 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 959561*l**2 + 70 - 2*l**3 - 959491*l**2 + 30*l**3. Let i(n) = n**2 + 1. What is 70*i(o) - v(o)?\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 + a**2 + 3*a**4 + 4*a**3 - 3*a**4 + 2*a**4 as k*a**4 + w*a**2 + x + q*a + s*a**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 7) + 17 + -24 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, q: 2, o: 2, r: 1}. Give prob of picking 1 o and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*m + 17, -3*m = -4*s - 8*m - 11. What is the closest to -2.8 in s, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 30*y + 72.\nAnswer: -3*(y - 12)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1180461374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g - 2*o = 22, 4*o - 40 = -4*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 19. Let c = 28 - n. Factor -3\/4 + 3\/4*v**c + 0*v.\nAnswer: 3*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -734 - -759. Suppose -x + 2*n + 126 = 0, -21*x - 5*n = -w*x + 489. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4, 42, -0.3, -1 in decreasing order.\nAnswer: 42, 7\/4, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 215.\nAnswer: 4\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190134 + 274837. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 - (-8 + -8 - 3). Solve -2*j - 8 = -4*f, -f - f - v*j = -28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 31\/2*i**2 + 0*i**4 + 1\/30*i**5 + 0*i + 9 + 0*i**3. Let f(z) be the second derivative of u(z). Let t(h) = h**2. Give t(f(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvvtvvvvvv.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -2717, -4754, -7187, -10016, -13241, -16862?\nAnswer: -20879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + (-6)\/8. Let n(i) = -14*i**3 - 2*i**2 - i. Let v be n(p). Let r = 27 - v. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*m = 4*u + 285*m - 37, -4*u + 5*m - 19 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 168 (base 16) to base 6\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 1\/2*s**2 - 1\/12*s**4 + 0*s**3 + 0 + s - 1\/5*s**5. Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**2\/2 + 15*g + 1. Let i be y(7). Solve -5*p + 3*p = 3*b - i, 2*b - 20 = -5*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04818 and -52.5?\nAnswer: 52.54818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*j**6 + 20*j**4 + 82*j**3 + 222587381*j**2?\nAnswer: 1560*j**3 + 480*j + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 784474 + -53?\nAnswer: 784421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 7*i - 7*i + 11)*(-i + 2 - 2).\nAnswer: 3*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33941.44km in meters?\nAnswer: 33941440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-28) + (-259806)\/(-21) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 147 = 4*x, -3*h = x - 7*h - 33. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.2894 to 1 dp.\nAnswer: -19.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5891 - -11769. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8992 + 9050. Solve -j = 29*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:43 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98 - 0.12. Let t = w + 1.100012. Round t to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:59 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14\/23 - -396\/575. Let m = 17\/25 - w. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*d**5 + 50\/7*d + 0 - 48\/7*d**3 + 20\/7*d**2 - 20\/7*d**4 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 18, 43, 84, 147?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/3)*s)\/(s*s**6))\/(s**2\/(s\/s**(5\/2))) assuming s is positive.\nAnswer: s**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.419 times 0.023\nAnswer: 0.009637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5, j - 3 - 2 = -5*h. Suppose -5*d + 4*i + 36 = -67, -2*i = -h*d + 42. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -21*o**2 + 40*o**2 + 5 - 18*o**2 + 4*o. What is s(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 6226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 0.07 (c) 1 (d) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 - 40*z - 2*z**2 - 62*z - 3*z**2.\nAnswer: -4*z**2 - 102*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from dwwwddzzdddwzwwzdw.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*h + 16. Let j = -5 + h. Suppose j*g + 2*g = -5*y + 28, -4*y + 22 = 3*g. Solve -m + g*m + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/10)\/t**(-2\/35)*t**15\/t**(-11))**(-3\/7) assuming t is positive.\nAnswer: t**(-5493\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 387 and 666414?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36843 is divided by 197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + -3.55. Let m = z - -3.5. What is the closest to m in 1, -1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 309\/2, 2\/95, 1\/2?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hj when two letters picked without replacement from {s: 3, j: 2, h: 13}?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5 = -5*d, 4*d = -4*r - 0*r. Let s be 8\/(-30) - (-3)\/d. What is the closest to 2\/11 in 0.4, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(153)*-5)\/(-1*sqrt(1089) - sqrt(1089)) + (((sqrt(187) - (1*sqrt(187) - sqrt(187) - sqrt(187)))*-3)\/(-2*sqrt(176)) + 5)**2.\nAnswer: 80*sqrt(17)\/11 + 553\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -635\/76, 0, -3, 20 in increasing order.\nAnswer: -635\/76, -3, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0329779 - 5.19621\nAnswer: -5.2291879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*((1*sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110) - sqrt(110))*-6)\/(2*sqrt(1000) + sqrt(1000)) + 0.\nAnswer: 12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446067216?\nAnswer: 2, 3, 7, 17, 8677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19\/(-2)*(-1179)\/(-27). Let y = 6062\/15 + d. Calculate the common denominator of -45\/2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyk when three letters picked without replacement from vakaykxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -7. Let f(w) be the first derivative of 3*w**4\/4 + 4*w**3\/3 + w**2 - 4. Let m(a) = -2*a**3 - 3*a**2 - a. What is h*m(u) + 3*f(u)?\nAnswer: u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*j + 7. Calculate the least common multiple of (13 + -14)\/(1\/(-8)) and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 11*d**2 - 2*d - 17. What are the prime factors of z(-9)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 0.2, -2.21, -8.2 in decreasing order.\nAnswer: 0.2, -2.21, -5, -8.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 31.36. Let h = -0.34 + c. Let k(j) = -j**2 + 36*j - 4. Let n be k(36). What is the nearest to h in n, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 316\/10 + 2\/5. Suppose 3*h + 18 = -3*z, 2*z - 1 = -5*h - 7. What is the greatest common divisor of h and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 2. Let q be j(-6). Suppose -5*n - q*b = -19, -5*n + b = -3*b - 11. Solve c - 4*k + 16 = 0, -4*c - 4*k = -n*k + 13 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*p + 204 = 0, 0 = -2*b + b + 4*p + 68. Suppose 0 = 136*v - 359*v - 240*v + 60190. Calculate the remainder when v is divided by b.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w**2 + 5*w + 2. Let l(g) = 8*g**2 + 6*g + 2. Determine 5*k(n) - 4*l(n).\nAnswer: 3*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2\/3 + 2866*q\/3 - 1432\/3 = 0. Calculate q.\nAnswer: 1\/2, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/845)\/((-126)\/315)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 86\/39 (c) -5 (d) 0 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/124576 and 19\/6913968?\nAnswer: 13827936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -11*u**7\/252 + 19*u**6\/18 - 79*u**5\/9 + 70*u**4\/3 + 20*u**3 + 322*u**2. What is p in c(p) = 0?\nAnswer: -2\/11, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2. Let c(b) = -3*b**2 - 5. Let d(f) = 4*f**2 + 6. Suppose 0*z - 3*q + 35 = 4*z, -3*z = q - 20. Let h(y) = z*d(y) + 6*c(y). Give h(o(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114.8601 + 3.7831. What is s rounded to one decimal place?\nAnswer: -111.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:20 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 9) in base 7?\nAnswer: -662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 1. Determine t(-6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11211200220 (base 3) to base 9\nAnswer: 154626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -2*c**2 + c + 3. Suppose 2*j = -8 - 0. Let f(v) = 5*v - 1. Let o(g) = j*b(g) - 3*f(g). What is the derivative of o(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9258801 kilometers to nanometers.\nAnswer: 925880100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 23 = 8. Let b = -19 + a. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5873162?\nAnswer: 2, 643, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -40 in 0, 52553, 0.2, 2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24077?\nAnswer: 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5513, -11011, -16459, -21833, -27109?\n\"Answer: 4*s**3 + s**2 - 5529*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -859240 to the nearest ten thousand.\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 u when three letters picked without replacement from {u: 1, j: 2, a: 1, p: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x + (x + 2*x - x)*(3 - 2 - 2) + x - x - x + (3 - 2 + 0)*(-23*x + 18*x - 17*x))*(0*x**3 + 5*x**3 - 4*x**3).\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 394187461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3374069.\nAnswer: 3374069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -8*x**3 + 5*x**2 - 694*x + 28. Let f(g) = -10*g**3 + 6*g**2 - 693*g + 33. Calculate -6*b(l) + 5*f(l).\nAnswer: -2*l**3 + 699*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 - y**4\/8 - 19*y**3\/3 - 8*y**2 + 4*y. List the prime factors of t(-19).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10138964161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/8*-120*(-26)\/105300.\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6227838 divided by -6.\nAnswer: -1037973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001528088 to five dps.\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-2))\/(g*g*g**(1\/2))*g**(-2\/7)\/(g**(-1\/5)*g))\/(g\/g**(-3\/2)*g*g**(-1\/13))**(-2\/151) assuming g is positive.\nAnswer: g**(63157\/137410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 1682 = 4*m, -5*o + m + 4194 = 0. Let x = -842 + o. Let y = -0.2 - -0.1. Which is the closest to y? (a) -0.4 (b) x (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12.228 * -0.6\nAnswer: 7.3368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**7\/294 - a**6\/70 + a**5\/140 + a**4\/28 - a**3\/21 + 19*a. Factor b(p).\nAnswer: p*(p - 2)*(p - 1)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -274, -402, -528, -652, -774, -894?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and -51966.478.\nAnswer: -51976.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 2*d - 6. Let b(t) = -t**2 - t - 1. Let w(r) = 6*b(r) - j(r). Find the second derivative of w(l) wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*o = 1142*o + 85 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -956730 + 3072905. Suppose 26*r + 21*r - o = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0 + 0)*(i**2 + i**2 - 14*i**2).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 m when four letters picked without replacement from oooomomomoommomooom?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 14*r - 11*r - 2*r**4 - 3*r**4 to the form i*r + b*r**3 + x + w*r**4 + d*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -347 or -693\/2?\nAnswer: -693\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) -2\/13 (c) 2\/337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -8005*j**3\/3 + 10874. Let v(b) = 3*b. Determine v(c(g)).\nAnswer: -24015*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*w - 3429 = 28819, 0 = -3*z + w + 24204. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120009021 to the power of 1\/2, to the nearest integer?\nAnswer: 10955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1686077\/877185 - -3\/38986. Find the common denominator of s and 776\/(-192) + 2\/3.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527 = 5*p - 1482 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**6\/2 - 2*r**5 - 9*r**4\/2 - 4*r**3 - 5*r**2\/2 - 2*r - 2. Let l(a) = a**4 - a - 1. Let c(u) = 2*l(u) - z(u). Factor c(d).\nAnswer: 3*d*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*x**2 - 18*x**2 + 14*x**3 - 15*x**2 + 0*x**3 + 0*x**3 - 2*x**3 + (0*x**2 + x**2 + 0*x**2)*(-5*x + 3*x + x) + 29*x**3 + 2*x**2 + 0*x**2 - 16*x**3.\nAnswer: 24*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -19) + -22 + -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 1 - 4 + 5. Let l(o) = 5*o + 9. Let x(y) = y + 2. Let d(t) = 4*l(t) - 18*x(t). Determine w(d(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 127*k**3\/3 + k**2 - 3*k + 5. Let p be v(1). Let y = 130 - p. Sort y, 3, -3, 2 in ascending order.\nAnswer: -3, 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*d - 15202 = 20401 - 6326 + 483 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30 - 9*o - 59 + 29 - 17*o**2 wrt o?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1159 (c) 1\/7 (d) 32 (e) 5 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 224*i**2 + 1090*i + 11. Give q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11120, -11119, -11118, -11117, -11116?\nAnswer: -11115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*k + 3*k + 2*k)*(0 + 0 + 2) + 0*k + 0*k + k)*(5*k**2 + 14*k**2 - 48*k**2) in the form r*k + d*k**3 + h + y*k**2 and give d.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 306 - 604. Let p = o + 426. Calculate the highest common divisor of 192 and p.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 862 + -862. Suppose w = 22*m + 55 - 341. Suppose 0 = -5*i + l + 63, i - l + 67 = 6*i. Is i less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54445 is divided by 18118?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 1. Let s(i) = -12*i**2 - 14. Let q(u) = -28*a(u) - 2*s(u). Suppose 112169 = 5*o + 2634. Let z(b) = -21907*b + o*b + b**2. Calculate q(z(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 51, 31 = -c + 2*o - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89 + 137. Calculate the greatest common factor of 336 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/2*(-4)\/8. Solve c*a + 6 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 14*l + 44. Let g be q(-10). Suppose -2*p = 5*w - 505, 5*w + g*p = -74 + 589. What is the remainder when w is divided by 46?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3213?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -16. Let y(z) = z + 1. Give y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 242\/110 - (-2)\/(-10). Let q(d) = 8*d**2 - d + 5 - c - 2*d + 7*d. What is the hundreds digit of q(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -464420 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*495\/5025 + -2 + 4?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.4 + 16. Let g = i - -0.7. What is the nearest to 1\/3 in -1\/4, g, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 56*k - 294. Give q(-2).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = -15. Let v = 1 + 1. Suppose -b*t = v*t - 35. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11\/4 - 59\/20. Let p = -0.03 + 0.43. Which is the closest to 1? (a) 1\/3 (b) p (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 262\/235 + 4\/47. Sort 3, j, -3\/2 in ascending order.\nAnswer: -3\/2, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -523355 + 3*p + 523355. Let k(i) = -1 - i - 16*i**2 + 5*i**2 + 1. Determine v(k(o)).\nAnswer: -33*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - -27. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + r + 2*r to the form q + o*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -0*u + 3*u. What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = -161 + 206. Let a be (5 - 4)*z - -14. Solve -d = 3*v, v + v = 3*d - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 47*v**2 + 47*v - 36. Give w(-48).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q**(-1\/7)\/q*q)))\/(q*q**3*q))\/(q**0*q**(-1\/3)))\/(q\/(q**(-4)\/q*q)*q*q**(1\/9)*q)**(1\/50) assuming q is positive.\nAnswer: q**(-7799\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 54 = -t. Differentiate -16*d + t*d - 6 - 8 wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(3388)*1)\/(-3*(sqrt(16) + sqrt(4)) - (sqrt(400) - (sqrt(400) + 2*sqrt(400)))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 4*f + 1. Suppose -5*l + 3*k - 30 = 0, 4*l - 3*k - 8 = -7*k. Let x be r(l). Solve 7 - 23 = -x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*j**2\/15 - 14*j\/5 + 4\/3.\nAnswer: 2*(j - 2)*(8*j - 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 11. Let b(o) = -3*o - 10. Let j be b(-5). Let u = j - -1. What is the units digit of w(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7313 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1777*a + 3721. Calculate u(-2).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109551467 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*x - 123 = -6*x, -2*t - 2*x + 242 = 0. Let f be (-15)\/((-15)\/400*-5). Let a = t + f. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 greater than 6363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 9*f**2\/2 + 10. Determine o(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*h = -4*o - 16, 5*o + 2*h + 44 - 60 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*i + 20, -5*i = 3*f - i - 5. Let q = -259\/12 + 67\/3. Put 5, q, f in decreasing order.\nAnswer: f, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -1.1. Let t = -4 + g. What is the nearest to 0 in 0, t, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -3)*-5 + 5)**2.\nAnswer: -2400*sqrt(11) + 40000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b - 28950 = 396. Is b >= 410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 3\/5 (b) 2 (c) -952\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1\/(1 - (-140)\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359.52 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39708608761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 585*l - 735*l + 18450. Calculate the remainder when l is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 96 = 5*k, 3*k = 4*f + 124 - 302. List the prime factors of f.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -5) + 3 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**5\/60 + o**4\/3 + o**3\/6 - o**2. Let b be k(8). Let l = 3 - b. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -847203, -1694406, -2541609?\n\"Answer: -847203*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 3642106?\nAnswer: 3642103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 3 = -x - 5*v, 3*x - v = 39. Let y = -8 + x. Find the second derivative of -5 + 2*m**y - 2*m + 5 wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-113 - -60 - -42) + -2 + 86 + 0).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooioooiooooioooioo. Give prob of sequence iii.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from {i: 1, w: 2, q: 1, o: 1, l: 8, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -30*k**2 - 6*k + 13. Let g(a) = 26*a**2 + 5*a - 12. What is 7*g(x) + 6*v(x)?\nAnswer: 2*x**2 - x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10894, 10564, 10204, 9796, 9322, 8764?\nAnswer: 8104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16035*k**3*t**2 + 3959*k**2*t**2 - 3*t**2 wrt k?\nAnswer: 96210*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 22*k**2 - 2*k - 1. Calculate y(-3).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**2 - 161*q**2 + q**3 - 159*q**2 + 679*q**2 - 195*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + 503*g**3 + 0*g + 2*g + 229*g**3 as r*g**4 + x + p*g**3 + a*g**2 + u*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 4:44 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -114*w - 4233. What is x(-39)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**4 - k**4 + 2*k**4 - 3*k**4 + 3*k**4 + 3*k**4 + (k**3 - 1 + 1)*(k - k + k) + 2*k**3 - 2*k**3 + k**4.\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 1863690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 2, r: 3, u: 2}. Give prob of sequence frfr.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9123 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516278078?\nAnswer: 2, 258139039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9376 and 4915954.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 12*g**2 + 8*g + 264. Calculate f(14).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 12) in base 13?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d**2 + 3*d)*(3*d + 0*d - 5*d) + 101*d**3 + 1056 - 1056 + (1 - d - 1)*(-d**2 + 4*d**2 - 2*d**2).\nAnswer: 102*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514*i**3 - 483*i**3 + 2 - 2.\nAnswer: -997*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (1 - 1). Suppose g*i = i - 20. Calculate the least common multiple of 15 - -8*(-23)\/(-92)*(-2)\/(-4) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 25, 3*l + 4*m = 6*l - 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-61)\/183)\/(31\/2139)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(51)\/sqrt(3) - sqrt(17)) + (sqrt(153)*-1)**2)*2*3*-2.\nAnswer: -1836 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqheddydyqudqhqq. What is prob of picking 2 d?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -75, -508386, -2 in descending order.\nAnswer: 0, -2, -75, -508386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 209*k + 160*k + 116*k + 0.\nAnswer: 485*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((3\/2)\/(669\/(-1561)))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*h - 0*q + 131, 105 = 3*h + 3*q. What is the smallest common multiple of 8 and h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 39*l**2 - 3*l + 4. Let q = 167 + -152. Calculate the remainder when y(1) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**6\/360 - i**5\/15 - i**4\/12 - i**3\/6 - 4*i**2. Let o(m) be the first derivative of a(m). List the prime factors of o(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 12:22 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 92*r**3 - 3*r**2 + 11*r + 14. Let f(o) = o**3 - o**2 + o + 1. Let z(h) = 3*f(h) - x(h). What is the tens digit of z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 14779350*x**2 - 236468640*x - 945873280.\nAnswer: -5*(x + 8)**2*(x + 2955854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/14*-460 + (-4)\/(-14). Let c = n + -64. Solve -g = -2 - c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:43 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Let s = -4 + 6. Sort h, -1\/5, s.\nAnswer: -1\/5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 2*f**3 + 0*f + 5*f**3 + (-f + 0*f + 3*f)*(-29*f**2 + f**2 - 15*f**2) to the form v + j*f**2 + y*f + n*f**3 and give n.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133\/2 - -67. Suppose -126 - 44 = -5*q. Let r = 34 - q. Which is the closest to r? (a) -0.1 (b) 2\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**3 - 15*f**2 + 37*f + 40. Is l(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 241 = -67 - 124. Calculate the highest common divisor of f and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a century in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 3496*r**2 - 37868*r - 89752.\nAnswer: -4*(r - 863)*(r - 13)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 238*i - 56. Let g(d) = 59*d - 14. Let z(n) = 21*g(n) - 5*j(n). Differentiate z(b) wrt b.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*u - 266 + 350. Let s(q) = 2*q + 1. Let r be s(2). Suppose u*t - 275 = -5*i + 8*t, -3*i = r*t - 165. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-8))\/(-2 - -1). Suppose -2*h - 10 + 20 = v. Let t = -3 + 9. Are h and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5068\/44 - 10\/55?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672540 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1963\/3 - 12\/9. Suppose -4*b - 141 + y = 0. Let f = 373 - b. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 9. Let r = d - -7. Solve -2*y + 0*k - r*k + 6 = 0, 2*y - 5*k = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 6*f + f - 75 = -4*r - 0*f, 5 = 4*f - 15 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4 - 5\/(-2). Put m, 1, 2 in decreasing order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 25 = 5*t, 2*t = 19*n - 17690 + 17608 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 371279409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2716826757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2383 and 109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35590 + -20481. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 19406*w**2\/7 + 47103200*w\/7 + 141135000\/7.\nAnswer: 2*(w + 3)*(w + 4850)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9732463 is divided by 9732300?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**15)\/(((y\/(y**(2\/27)\/y))\/y)\/y)*y**8\/(y\/y**14) assuming y is positive.\nAnswer: y**(1001\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2) + 289\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/24 - t**3\/6 - 22*t**2. Calculate y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15cba5 - -1?\nAnswer: 15cba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Suppose 0 = 188*j - 178*j + 30. Calculate r(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 29*u**2 + 18*u**2 + 4 + 12*u**2 as n*u**2 + o*u + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 6*d**2 - 5*d - 3. Let z be u(4). Let f(c) = -c**2 + 10*c + 304. Let x be f(-13). Solve -2*b = -h + z, -x*h + 30 = -h - 5*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddpdddppf. Give prob of sequence ddp.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/(-60)*82\/(-287))\/(2\/84)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47f3 (base 16) to base 3.\nAnswer: -221021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01842586 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - (-1110)\/25) + 2\/(-5). Let o = -79\/2 + c. What is the closest to -21\/4 in -0.4, -1\/3, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21489 + 21464. Which is the third biggest value? (a) -2\/17 (b) 2 (c) 80 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474672 - 27?\nAnswer: -474721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 6016*a**2\/5 - 6014*a\/5.\nAnswer: -2*a*(a - 3007)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1921.11.\nAnswer: 9605.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, l: 5, d: 4}. Give prob of picking 1 l and 1 d.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omommldddmom. Give prob of sequence mo.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -10*c**5 + 15*c**4 + 5*c**3 - 15*c**2 + 5*c = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/195 - 2\/65. Which is the nearest to 2\/11? (a) -5\/4 (b) -3\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2222 and -2235 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 4888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085.010967 to the nearest ten.\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + 4 - (-5*(sqrt(99))**2 - sqrt(11)) - ((2*sqrt(33)\/sqrt(3))**2 + (sqrt(1331) + 1)**2)) + 5.\nAnswer: -871 - 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 88 + 37. Let m = o + 41. Let f = m - 11. Sort f, 3, 2\/23 in ascending order.\nAnswer: 2\/23, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 128 + -1579 + 1438?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 3. Let o be f(9). Let m(l) = l**2 - 7*l + 9. Let w be m(o). Factor -2*b + 5*b - 5 + 21*b**2 + 14*b**4 + 3 + 25*b**w - 5*b**4.\nAnswer: (b + 1)**3*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 526786*l**2*s**3*t**2 - 79348*l**2*s**2*t + 368*l**2*s*t**2 + 78*l*s**3 + 19*l - s**2*t wrt t?\nAnswer: 1053572*l**2*s**3 + 736*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c - 2190 = 3054 + 584. Which is smaller: 755\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzz when three letters picked without replacement from dzzzdrlrdlddqqlqzdr?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 14*a**2 - 21*a - 49. What is t(-12)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.206771333 to 3 decimal places.\nAnswer: 0.207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l - l + l + l - l - l + (0 + 1 - 2)*(-5*l + l + 2*l) + (3*l + 4*l - 5*l)*(4 + 2 - 5) + 3*l - 13*l - 6*l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.9751.\nAnswer: -1.9502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 15455164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*v - 3330 = -64*v. List the prime factors of v.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*g**2*x - 2083*g*r**3 - g*r*x + 4*g*x - 8*r**3 + 75632*x wrt g?\nAnswer: 14*g*x - 2083*r**3 - r*x + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.6 (b) -1\/2 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 18*u + 5*u. Let b(i) = 3*i**2 - i. Let j be b(1). Let v be ((-2)\/(-5))\/(19\/95) - -1. Solve -v*k - j*r = -r - 10, 5*k + r - 20 = u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 430.887, 46, 0 in increasing order.\nAnswer: 0, 46, 430.887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 22*r**2 - 10*r - 51. Let a be n(11). Calculate the greatest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(363) + 0) - (sqrt(363) - (sqrt(363) - (-3 + sqrt(363)*4)))) + -5*(5 + 0 + sqrt(363) + (-1 + sqrt(363))*-6))**2.\nAnswer: -19448*sqrt(3) + 107611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 12, 4*a + 2*r + 0 - 6 = 0. Let i be (-30)\/(-9)*(-18)\/(-10). Suppose -i*u + 3*u = -6. Solve -5*s + 4 = a*y + y, -u*y - 8 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 8.99?\nAnswer: -9.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -224, -499, -882, -1373, -1972, -2679?\nAnswer: -3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*f = -0*p + 30, -4 = 4*f. Let c = -10 + p. What is the remainder when 39 is divided by 15 + c\/(-4)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -68*u - 473. Calculate the remainder when 78 is divided by n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -16510, -16634, -16758, -16882?\nAnswer: -17006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:58 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -681700 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660796 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94821148, 189642296, 284463444, 379284592, 474105740, 568926888?\n\"Answer: 94821148*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559145 divided by 3?\nAnswer: 519715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6*x = -9. Suppose -x = z - 18. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 333.6049\nAnswer: 333.6049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/22 - 26*v**3\/33 - 23*v**2\/11 - 2*v + 272. What is j in q(j) = 0?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 3*d**4 + 3 + 716854*d**3 - 7 - 716852*d**3 - 3*d**2 to w*d**4 + o*d**2 + h*d**3 + k + m*d and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4 + 1 - 17*g + 2*g - g**2. Let l be f(-15). Solve -5*w + 45 = -l*d, -5*d + 3*d - w = 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 11, -45, -139, -283, -489, -769, -1135?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-3)*((-12)\/(-10))\/((-125584)\/(-3340)).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/4 + 6*j**3 + 35*j**2. Let b be a(8). Let m be -2*(-2)\/(b\/(-15)). Solve -25 + 5 = -m*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*n - 22*n - 6*n**3)*(-148*n - 253 + 253) - 4 + n**4 + 4.\nAnswer: 889*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -1.2. Let i = j + -1.099994. Round i to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 27*u - 45. Let j(w) = w**2 - 13*w - 22. Let p(c) = 2*h(c) - 5*j(c). What is the tens digit of p(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10806 + -5123. Let q = l - 822. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 2*y + 2*y + (31 - 20 + 34)*(-y - 2*y + 5*y) - 2*y - 2*y + 2*y + y + y + 0*y.\nAnswer: 89*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59*(-11 + (-13360)\/(-1215)) and -131\/270.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145064*o**2 - 1145065*o**2 + 7284*o - 7284*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*s = -33, -2*g + 5*s + 18 = s. Suppose -g*o = -9*o + 12. What is the tens digit of o\/(10 - 4) + (-57)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.542074 + 10091120.\nAnswer: 10091112.457926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -0.7, -626, 5, 21\/2, -5?\nAnswer: -626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1632229 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 3:23 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**2 - 9*c - 5. Suppose 475*s - 421 + 2796 = 0. Let w(v) = -29*v**2 - 13*v - 7. What is s*w(o) + 7*m(o)?\nAnswer: 12*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 695 divide 2631161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15508*k**4*l - 2*k**3*l - 9113*k*l - 3*k + l - 2 wrt k.\nAnswer: 186096*k**2*l - 12*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n**2 - 3. Let o = 51 - 51. Let i be (-8)\/(-68) + o + (-64)\/(-34). Let s(b) = 1 + 2 - 3 - b**i. Give g(s(l)).\nAnswer: 12*l**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.037 + 0.037205. Round l to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = p + 13, -15 = -3*r - 2*r + 5*p. Let i be 11*(-1 + 2 + r). What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**5 + 6*j**4 + 1882390*j**3 + 9139*j**2 - 8429*j.\nAnswer: 120*j**2 + 144*j + 11294340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 2c41088?\nAnswer: -2c4108b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/7 + 54*y**3\/7 + 276*y**2\/7 + 520*y\/7 + 48.\nAnswer: 2*(y + 2)**3*(y + 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 1. Let r = 1 - -1. Suppose 8*q = -r - 14. Let z be y(q). Solve 0 = f - z*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 + 5*d + 1. Suppose -2*r - r - 21 = 0. What are the prime factors of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73225552.\nAnswer: 2, 4576597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*t + 67*t + 30*t + (-2 + 4 - 3)*(2*t - 3*t + 2*t) as d*t + f and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3 - 19. Suppose 5*f - 98 = 17. Calculate the remainder when f is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -2. Let o = -2 - 2. Let s be 3 - -4*2\/o. Put h, s, -3 in decreasing order.\nAnswer: h, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1070094 times 0.1?\nAnswer: 0.01070094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {y: 5, b: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*u + 16, -2*s = -0*s - 4. Let d = u + -1. Let y = d + 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 379882 - 2204.74.\nAnswer: 377677.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.284 * 102.\nAnswer: -28.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/36 of a week?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 1, i: 1, n: 1, z: 2, e: 2}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**3 + 5*x**2 - 2*x + 17. Calculate the remainder when t(3) is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -4)*(-38)\/171?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135467 is divided by 9675?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10536, 10544, 10550, 10554?\n\"Answer: -z**2 + 11*z + 10526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2 - 3\/2*m**2 + 2*m. Differentiate t(z) with respect to z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665280 divided by 41632?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.2, -10, 302, 4\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 716031, 716020, 716005, 715986, 715963, 715936?\n\"Answer: -2*q**2 - 5*q + 716038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + m = 64, 3*m + 2 - 8 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 2 o when four letters picked without replacement from {r: 7, h: 3, o: 4}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1037670833 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by -2211166.\nAnswer: 74\/1105583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1352065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let n be t(6). Suppose 13 = n*y - 17. Suppose 6 = -6*r + 7*r. Calculate the highest common factor of y and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + l + 3*l = 42 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {x: 4, q: 11, f: 4}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457895.\nAnswer: 5, 17, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14253144425 - -4?\nAnswer: -14253144421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h + 9. Let j be t(-8). Let z = j + 35. Let d(p) = -p**2 - 3*p. Let a be d(-3). Solve u + o + 0 = 3, 5*u - z*o - 33 = a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2 + 28. Let o(s) = -27*s. Determine o(t(v)).\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*v - 19, -72*v + 76*v - 21 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x - 7. Give c(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v. Let h(b) be the third derivative of b**5\/60 - 8*b**2 + 7*b. Determine h(p(a)).\nAnswer: 225*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*5*12\/(-10). Let m = 15 + a. Solve 0 = 2*t + 1 - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*a + 24*a - 2355*a**2 - 79*a + a**2 + 0*a**2 + 2*a**2 + (2 - 6 + 2)*(-4*a + 4*a - a**2).\nAnswer: -2350*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 - 1080957*d**3 - 90814500*d**2 - 2542937712*d - 23734699968 = 0.\nAnswer: -28, 360403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l = -7*l + 521 + 353 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -80338.996?\nAnswer: -80338.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/((-6)\/87687) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 7*l = 12*l - 231. Sort 4, -35, l in decreasing order.\nAnswer: 4, -35, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b + 40*b**3 - 9*b)*(-2*b + 202 + 0*b - 204)*(0 + 7 - 4).\nAnswer: -240*b**4 - 240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 10*z + (-3 + 3 + 3*z)*(1 - 3 + 1))*(-z + 1 - 1).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 - 12981735*n - 3245433.\nAnswer: -3*(n + 1081811)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 568863 - 15?\nAnswer: 56884b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 648.2338 millilitres?\nAnswer: 0.6482338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/17 + 33\/68. Suppose -5*f + 5 = -0. What is the nearest to t in f, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -290418*b - 580869. Give l(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 671*r + 13249 - 462 + 11369 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 735 and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**6\/240 - g**5\/120 - g**2 - 1. Let o(r) be the second derivative of k(r). Factor o(d).\nAnswer: d**2*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/5)\/(15*(-35)\/1750).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 282, 454, 648, 870, 1126?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i*i**18)\/(i**12\/(i\/(i\/(i\/(i\/i**3))))) assuming i is positive.\nAnswer: i**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.96 + -6. Let c = -0.08 - b. What is c rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2. Let g(h) = 4*h + 2. Determine f(g(m)).\nAnswer: 16*m**2 + 16*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-17\/4)*n*n)**(-43)*(n\/n**(-3\/2))\/(n*n**0) assuming n is positive.\nAnswer: n**(221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w + 31 = 14*w - 4*p, w - 4*p = -11. Sort -3, 5, w, -4 in ascending order.\nAnswer: w, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4116 - 192*j - 4216 + 1718.\nAnswer: -192*j - 6614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6236786 and -0.1.\nAnswer: -6236786.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Let n(v) = -26*v**2. Calculate n(c(m)).\nAnswer: -26*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/22*4\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.548 - 0.052. Sort 2\/11, k, 7, -1\/4 in increasing order.\nAnswer: k, -1\/4, 2\/11, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 514\/3 - 6899\/42. What is the common denominator of i and 51\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.145094 rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fda4 + c?\nAnswer: -4fd98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2112*i - 435 = -15893 - 21331 - 24459 for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0302 + 188057223766.\nAnswer: 188057223765.9698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*k = 35, -22 = -p - 3*k - 3. Suppose 2*q - 44 - p = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -641, -46, -1119 in decreasing order.\nAnswer: -46, -641, -1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, o: 2, g: 6, a: 1}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12 = 2*t - 65, -3*t + 54 = r. Let u(c) = -c**2 + 22*c - 43. Let q be u(t). Is 27 a factor of (-36)\/q*(4 + -25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005501137 rounded to six dps?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39480833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 - 4*w**4 + 3*w**4)*(-2 + 2 - 2) - 4*w**4 + 21*w - 21*w.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**5 + 19*l**4 - 608*l**2?\nAnswer: 360*l**2 + 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.02 + 3.02001255. What is i rounded to 7 decimal places?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 36 = 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810799 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9\/5)*k*k*k**(-1\/7))**(6\/35) assuming k is positive.\nAnswer: k**(12\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 8*x + 8. Let z be g(-6). Let a = z - -148. Let l(m) = 6*m + 4. Let h be l(6). Calculate the greatest common divisor of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44305811.\nAnswer: 11, 107, 37643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 112047 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 151, -3, -1\/2, 8\/9, 5, -1 in ascending order.\nAnswer: -3, -1, -1\/2, 8\/9, 3\/2, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 26. Suppose -u = -z*u + 56. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -270*z - 9150. Give x(-34).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o. Let h be c(1). Suppose 4*l = -3*r + 49, h*l = -3*l - 2*r + 56. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6 (base 11) in base 15?\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:15 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 4*n**2 + 3*n + 2. Let w be v(4). Suppose -k + 2*k - 4*a = w, 4*k - 41 = a. What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 7*h**2 + 4*h + 7. Suppose 12 = 2*a - 6. Calculate the remainder when d(7) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1525187 divided by -80273\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039875061 plus -168553?\nAnswer: 2039706508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5 = 3*b, -4*t - 4 = -5*b - 0*t. Suppose -34 = -2*f - b*f. What is the remainder when f is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f + 6. Let k be g(9). Let u be ((-2)\/(-4))\/(2\/100). Suppose -5*x = u, -2*x + k = 3*c + x. Calculate the remainder when c is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 6. What are the prime factors of 6\/z + 31\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2467*j**2*k + 6*j**2 - j + 64731*k wrt j?\nAnswer: 4934*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0655 * -0.01\nAnswer: 0.000655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 1)*(1 - 3 + 1) + (1 - 4 + 4)*(-1 + 2 + 2))*(14*y + 12*y - 19 - 24*y).\nAnswer: 16*y - 152","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*x - 525*x + 13*x - 4334 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 54568, 54627, 54708, 54811, 54936, 55083, 55252?\n\"Answer: 11*d**2 + 26*d + 54531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/221, 0.665064, 0?\nAnswer: 0.665064","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -450, -863, -1494, -2415, -3698?\nAnswer: -5415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - r + 104. Calculate i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.36 + -0.36. Let k = 50.9 - a. Let p = 0.03 + -0.33. What is the second smallest value in k, p, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(-3 + 0 + 1)*(415 - 4217 - 1225)*(x**4 - 5*x**4 + 2*x**4).\nAnswer: 40216*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72636750 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2. Let w(y) = -y**2. What is w(u(c))?\nAnswer: -25*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8945 or 8724?\nAnswer: 8945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/92269 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -251, -2004, -6709, -15818, -30783?\n\"Answer: -242*q**3 - 24*q**2 + 13*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**5\/12 - 21*q**2. Let s(n) = 2*n**2. Determine s(h(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 3*f**4\/8 + f**3\/3 + 4*f**2. Let i = 30 + -29. Let b be (4\/(-6))\/(i\/3). Calculate m(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8969121 millennia to decades.\nAnswer: 89.69121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 4. Let y be m(3). Let q = 5 - y. Find the second derivative of 4*i**4 - 3*i + 8*i**4 + 3*i**5 - q*i**4 wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -61, -226, -539, -1048, -1801, -2846?\nAnswer: -4231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1299283 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2045 + -18011?\nAnswer: -20056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1010000111101110?\nAnswer: -1010000111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147949582?\nAnswer: 2, 11, 6724981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -2\/283, 2, 4?\nAnswer: -2\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 238 in 0, -1, 1, 3\/7, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123804260, -123804262, -123804264, -123804266, -123804268, -123804270?\n\"Answer: -2*q - 123804258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -48, -86, -140, -210, -296, -398?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 2*y**2 + 2*y**2. Let u(r) = -1. Let f(z) = -z + 1. Let t be (-20)\/(-16) + (-1)\/4. Let p(w) = t*f(w) + u(w). Determine p(j(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 128281273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -12. Let y be (s + 0 + -1)\/1. Calculate the common denominator of y\/(-4) + (-27)\/(-48) and -3\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*r = 20*r + 60. Solve -1 = 2*t + 2*u - r, -2*t - 4*u = -4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684115 is divided by 20121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2*y**2 + 4. Let z(h) = -h**3 - 6*h**2 + 2*h**3 + 4*h**2 + h**2. Let q(u) = v(u) + 2*z(u). Find the first derivative of q(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/9)\/((-6)\/9). Suppose -u*o = -3*o. Solve -4 = -o*m - m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 - 26884\/65)\/(2\/(-25)). What is the highest common factor of u and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/2 + 1853*f**3\/2 + 21921*f**2\/2 - 314433*f\/2 + 347949 = 0?\nAnswer: -1841, -21, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111000101 (base 2) to base 10.\nAnswer: -965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*v**3 + 34*v**3 + 1 + 0 + 27*v - v**2 + 75*v - 14*v**3 to the form u*v**3 + w + k*v + h*v**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 - -1103?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1843100 and 3500?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3692 - 3687. Which is the nearest to -0.2? (a) 17 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68705 = 3*h + l - 2*l, -2*h - l + 45800 = 0. Let n = h - -157099. Round n to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 3*c)*(2*c**3 - 2*c**3 + 2*c**3) + (0*c**3 - 3*c**4 + 0*c**3)*(3 + 2 - 4).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - -122 - (-13 + 18)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 0*j + 41 - j**4 - 2*j**3 + 2*j**4 + j to the form c*j + y + l*j**2 + p*j**4 + t*j**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 1567427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 3*t - 3. Let r be s(-3). Suppose w - 2*u = -u - 9, 0 = -2*w - 3*u - 3. List the prime factors of (w\/(-9))\/(r\/(-234)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**3 + 42*k**2 - k + 21. Let x be h(21). Solve x = -5*w, 0*g - 2*g = -w - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52016 by -4975.\nAnswer: -52016\/4975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 6. Let z = 6210 + -6187. Calculate the remainder when g(6) is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*p + 587*p = 930 + 2898. Let b be 1 + 0 + 0 + 2. Suppose -3 = b*s + 3. Put 0, s, p in decreasing order.\nAnswer: p, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113022 (base 5) to base 15.\nAnswer: -135c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 9*u - 34. Let w be n(4). Sort w, -2\/7, 5 in descending order.\nAnswer: 5, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 16 + 6 - 6 + 2 + 0 + (-3 + 4 - 3)*(-2 + 3 - 2))*(-2*l + 0*l + l).\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -278 (c) 8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/1191 and 91\/1164.\nAnswer: 462108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10))\/(1287\/132).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 20 = 3*u, -126 + 116 = -o + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p + 3*p. Let h(k) = 12*k**2 + 0 - 5*k + 6 - 19*k**2. Let g(n) = 3*n**2 + 2*n - 3. Let w(c) = 5*g(c) + 2*h(c). Determine w(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = p - 58. Suppose -4*m + 55 = -149. Let h = m - 41. What is the greatest common factor of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.63. Let q = -1 + h. Which is smaller: q or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 22*j + 89. Suppose 2*b = -2*s + 2 + 32, 0 = 5*b - 5. What is l(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(10692\/(-8432)) + 26\/1053\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 = 2. Let s be (-76)\/(-16) + w\/(-4). Solve 4 = -4*k, k - 2*k - s = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 27, -0.02.\nAnswer: -0.02, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/17))**13\/(l*(l*l**(2\/13))\/l*l**(-10\/13)))**(2\/33) assuming l is positive.\nAnswer: l**(-282\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-73 + -53)\/((6 - 3) + 0 + (-27)\/6)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.037 + 0.273. Let z = k + 0.19. Let n = 64 + -61. Put n, -2, -0.2, z in decreasing order.\nAnswer: n, z, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*o - 55 + 78, 4*v = 2*o + 102. Suppose s = -3*k - 341 + 944, 5*k = -3*s + 1005. What is the remainder when k is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1378786629+2023\nAnswer: -1378784606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*n = -6, 2 + 0 = x + n. Let k(w) be the second derivative of -w**3\/6 - 2*w**2 - w. Let r be k(-8). Sort r, x, 8 in ascending order.\nAnswer: x, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102200000 rounded to the nearest one million?\nAnswer: -102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111538 and 2241610.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/n**(-1)))*n))\/n*(n**(-9)\/n)\/n assuming n is positive.\nAnswer: n**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 16*m**2 + 17*m - 26. Let y be k(15). Solve -4*t - 3*b - 5 = 0, 13 = y*b - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2. Let c(r) = r + 2. Let z(d) be the second derivative of -9\/2*d**2 - 2\/3*d**3 + 0 + 9*d. Let s(w) = -9*c(w) - 2*z(w). Determine s(y(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/140 and (6060\/160)\/(236\/8 - -2).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 + (-4)\/((-20)\/(-15)). Let t = 11 - n. Calculate the remainder when 7 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 5:42 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13099*u + 5 + 9 + 17607*u - 16.\nAnswer: 30706*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12 + 2*s**2 - 5 - 3*s**2 + 17. Let c(r) = -62*r**2. Calculate c(y(l)).\nAnswer: -62*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p - 3*p - p + p. Let g(w) = 2*w**2. Give x(g(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - x - 78 = 0. Suppose x = 5*w - 39. Let g be 4 + -4 + (7 - 1). Let b(t) = -15*t**3 - 13*t**2. Let z(q) = 7*q**3 + 6*q**2. Give g*b(r) + w*z(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 42700.\nAnswer: 85400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4.75. Let n = -0.23 + l. What is n rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 1. Let i(t) = t**3 - 2*t**2 + 3*t - 2. Let x(m) = -3*i(m) + 3*p(m). Factor x(s).\nAnswer: -3*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6943 by 10704.\nAnswer: 6943\/10704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*h = -141*h + 52. Let j be h\/(-169) - 6556\/(-26). What is the highest common divisor of j and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 17*s + 21. Let y(r) = -13*r**2 - 10*r**2 - 18*r + 26*r**2 + 21. Let z(x) = -4*t(x) + 3*y(x). What are the prime factors of z(-16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 - 11*s + 6. Let i be k(-5). Let a = 38 - i. What is the derivative of -46*q**2 - 4 - 9 + 61*q**a wrt q?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147238 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 12}. Give prob of picking 2 k.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -309, -1489, -3449, -6183, -9685?\n\"Answer: u**3 - 396*u**2 + u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m - 3*m - 4*m**3 - 11 + 2*m**2 - 3*m + 5*m**3 as z + t*m**3 + j*m + f*m**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 1, l: 2}. What is prob of sequence llp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 500, 1961, 4396, 7811, 12212, 17605?\n\"Answer: p**3 + 481*p**2 + 11*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/9 - 15*h**4 + 148*h**3\/9 + 1636*h**2\/9 + 176*h\/3 - 2176\/9 = 0.\nAnswer: -136, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**3\/3 - 6*s**2 + 2*s + 11. Let j be m(7). Let y = 11 + -7. Solve 4 = j*r - 2*a - 0, 4*r = -y*a + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5982 is divided by 600.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - o. Suppose -8 = -3*j - w + 5, 3*w = -6. Suppose -4*y + 20 = -3*s, 5*s + 7 + j = -4*y. Let t be q(y). Let d(x) = -x - 1. What is d(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 9}. What is prob of picking 1 i and 2 f?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a5 (base 15) in base 11?\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c + c**3 - 4*c + 212627 - 2*c.\nAnswer: c**3 + 212627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 368901540*i*n**2 + 574143211*n**2 wrt i?\nAnswer: 368901540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221.2 + -11.2. Let d = -209.99999954 + t. What is d rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 834, 1669, 2504, 3339, 4174?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 70?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 + 4*o**3\/3 + 7*o**2 - 4776*o - 1. What is k(11)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50779614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -0.3 (c) -1.540815 (d) 1\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/5)\/d)\/d)\/d)\/d**(-15\/8) assuming d is positive.\nAnswer: d**(-21\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/4 + (0 + -23 - -2). Let m(t) = -2*t - 47. Let o be m(q). Put 0.5, -5\/2, o in decreasing order.\nAnswer: 0.5, o, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3928005 and 14760.\nAnswer: 31424040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20346617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 4*u - 3. Let i be v(-5). Suppose 18*s = 7*s + 11. Let n be (-30)\/(-150) + s\/((-10)\/(-38)). Sort n, -5, i, -4 in decreasing order.\nAnswer: n, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 43*a**2 + 48424*a - 48444*a - 3*a**3 - 21. What is i(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from {n: 3, e: 3, k: 4, q: 1, m: 1, s: 3}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230)\/414*(-27)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13611, 27221, 40833, 54447?\nAnswer: 68063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 24*w**2 - 8 + 2*w**3 + 3 + 4*w - 22*w**2 - 1. Let g(m) = 3*m**3 + 2*m**2 + 5*m - 7. Give -4*g(i) + 5*p(i).\nAnswer: -2*i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(336)\/sqrt(7))**2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -132.65 to the nearest integer.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*d - 488 = -364 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dked. Give prob of sequence dekd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15249507\/47 at most as big as 324458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-20)\/75)*((-3)\/(-14) + 360\/84).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -8279\nAnswer: 30\/8279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 9*h**2 - 9*h + 23. Let v = 3715 - 3725. Calculate q(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-731*r + 519 - 517 - 92*r)*(-3 + 0 + 4).\nAnswer: -823*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose 0*q + 5*q - 10 = 0, 2*b = -3*q + 16. Suppose 0 = 4*j - j + 15, -b*j - 33 = -n*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 868330 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9533401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30276 = -559949*o + 559427*o for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21029645283407 less than -0.4?\nAnswer: -21029645283407.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19781617, -39563235, -59344853, -79126471, -98908089, -118689707?\nAnswer: -138471325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/26 + (2\/4)\/(585\/(-17910)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:35 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 21. Let g = 2.06 - -2.94. Let j = g + r. Which is the closest to j? (a) -0.01 (b) 1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637))**2*2 + ((0 + sqrt(637))**2 - sqrt(637))*-1 - (0 + sqrt(13)*2 + 1 + 2)**2.\nAnswer: -33*sqrt(13) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*s = 3*s + 11, 39 = 5*l + 4*s. List the prime factors of 3*(l\/3 - -1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 15?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**16)\/(v\/(v*v\/((v*v**(-4\/13)*v)\/v))))\/(v\/(v**11*v)*v*v\/(v**9\/v)*v) assuming v is positive.\nAnswer: v**(17\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (5 - 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 44*q = -31*q + 825 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 217 = 42. Is v not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 6*m + 6*m)*((0*m**3 + 4*m**3 - 3*m**3)*(0 + 0 - 2) - 5*m**3 - m**3 + m**3 + 1 - 2*m**3 - 1 + (2*m - m + 0*m)*(1 - 2*m**2 - 1)).\nAnswer: -33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:46 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 8*u**2 + 7*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -9. Let g be (-1 - t)*(-3)\/12. Let b = 6 - 11. What is the nearest to 1\/3 in g, 1\/2, b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*p**2 - 110*p**2 + 54*p**2 + 734.\nAnswer: 5*p**2 + 734","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/17 in -0.1, 1\/6, 18846?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23457372 a multiple of 1434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(60)\/(sqrt(12)*-2) - sqrt(20)\/sqrt(4)*-4)*-6 + -3)**2.\nAnswer: 252*sqrt(5) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 146, -1\/8, 2?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -142468 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/4 (b) 1804167 (c) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4074095 is divided by 59913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of ((-18)\/7)\/((-5)\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 30*j**5 + 109*j**4 + 149*j**3 + 97*j**2 + 25*j - 6. Let f(p) = p**2 - 2. Let s(o) = 4*f(o) - w(o). Solve s(h) = 0 for h.\nAnswer: -1, -1\/2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 45373070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 796.4*-0.2.\nAnswer: -159.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2466379 = -16*w + 2467595 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -198708446*h. Let y(x) = x**2. Give y(c(n)).\nAnswer: 39485046511734916*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*h - 0*h - 2285, -1366 = -3*c + 4*h. What are the prime factors of c?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3, -7, -19, -33, -49?\n\"Answer: -o**2 - 7*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 470.46 and -4?\nAnswer: -1881.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 290075953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 54*c - 816. Determine t(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b + dd?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-810)\/16 - (3 - (-1 - -1)). Let v = 935\/24 + w. Find the common denominator of v and -8\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -13. Solve -29 = -3*p + 4*r, 0*p - 3*p = 2*r + l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 9) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1.9. Let x = h - -0.2. Let q = 6.6 + -7. Which is the closest to x? (a) -0.1 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - x - 4 - 9*x**2 + 24*x**2 - 4846427*x**3 + 4846425*x**3 as i*x**4 + w + k*x**3 + n*x**2 + h*x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*i + 0*i + 0*i)*(-1 + 3 - 4) + 0*i + i + 0*i)*(-i**3 - 2*i**3 + 2*i**3) in the form a*i**4 + r*i**2 + m*i + g + q*i**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*j - 227*j + 173*j)*(-2*j + 3 - 3) + 2*j**2 + 3*j**2 - 7*j**2 + (4 + 0 - 2)*(-3*j**2 - 3*j**2 + 5*j**2) + 2*j**2 - 2*j**2 - 2*j**2.\nAnswer: -172*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, -7, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (100\/(-35))\/((-4)\/14). What is the common denominator of ((-2)\/v)\/(12\/(-550)) and 4\/30*(-144)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 118 - (9 - 10). Suppose -58 - p = -2*f. What is the second derivative of -3*s - 87*s**4 + 27*s + f*s**4 wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -185. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - -47. Let n = -42 + m. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + (-2 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 721 = 25*p - 1204. Solve -2*x + 87 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -214 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -42 + 1b?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18.8 + -18. Let n = r + -0.74. Round n to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0403 - 2.2703. Let v = u + 2.1. Let p = 18.5 - 19.5. Is v not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001371478 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let j(n) = -n + 6. Let g(l) = -j(l) + 6*r(l). Let o(a) = -109 + 22*a + 210 - 100. Determine -7*g(c) + 2*o(c).\nAnswer: -5*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1774?\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 10*z + 24. Let i be v(7). Suppose 4*x + x = 25. Suppose -41 + x = -i*h. Solve 6*n - 3*n = -h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 - 1153?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3 + 16. Let d = j - -27. Solve 4*u = 2*k + d, 0 = 5*u - 8*k + 3*k - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 4:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 3*g**7\/7 + 7*g**3\/3 - 6. What is the third derivative of k(h) wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1085\/106 or 401?\nAnswer: 1085\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00334659 to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17484 divided by -1457.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l + 2. Determine x(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**18\/y))**(2\/97)\/((y**(-10\/3)*y)\/y**10) assuming y is positive.\nAnswer: y**(3493\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let k(a) = a**2 + a. Let c(t) = 3*t**2 - 2*t. Let s(j) = c(j) + 2*k(j). What is l(s(d))?\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:07 PM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332393269.\nAnswer: 13, 25568713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7126 + -5076. Calculate the highest common factor of c and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxggxggxg. What is prob of picking 1 g and 3 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) -4 (c) 5 (d) -11.06 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 - 13*y + 7. Let d be s(-7). Suppose d*k - k = 4*t - 123, 0 = -2*k - 4*t + 230. What are the prime factors of k?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -18*z - 51. Suppose 1073*g - 1093*g = 0. Calculate x(g).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2959*q - 673*q - 2283*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 12, -269, 3 in descending order.\nAnswer: 12, 5, 3, 2, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 13795470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 + 68*r**2 + 2*r + 4. Let j(s) = 8*s**3 - 272*s**2 - 8*s - 17. Determine -2*j(o) - 9*n(o).\nAnswer: 2*o**3 - 68*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 11. Let w be v(9). Let r(m) = 4*m**2 + 2*m. What are the prime factors of r(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 503.769998 + -505.87. Let z = w - -2.1. Round z to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90431424 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 27, -1.\nAnswer: -5, -3, -1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 * -9.37581.\nAnswer: -0.75944061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1943 + 1943 + 7*y.\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, r: 2, n: 3, e: 2}. Give prob of sequence en.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 177322 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*-33212\nAnswer: -26569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-78))\/((-1)\/(-3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**3*f**3 + 239*b**3*f + 2*b*f**3*k**2 - 2*b*f**2*k - 3*b*f*k**3 - 4*f**3*k**3 - 3*f**2*k wrt f?\nAnswer: -24*b**3 + 12*b*k**2 - 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 21 and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**4 - f**2 + f - 2. Let u(o) = 9*o**4 - 13*o**3 + 4*o**2 + 142*o - 11269. Let s(k) = 4*p(k) + u(k). Differentiate s(a) with respect to a.\nAnswer: 4*a**3 - 39*a**2 + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = 0, 5*x = 2*x + v - 32. Let m = -5 - x. Suppose -4*c - 1085 = -3*j, -j = c - m*c - 380. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*s**3 + 97*s**2 - 178*s - 168.\nAnswer: (s - 2)*(s + 7)*(17*s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316 - 316 - 992*v**2.\nAnswer: -992*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhzzdafyh. Give prob of sequence zyzd.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 9:58 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1516?\nAnswer: 7580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2850.079162 to 0 dps.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17 = -25. Let o be (1 - 0)*(y + 8). What is the lowest common multiple of 41\/o + 13\/(-52) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -21133230232022?\nAnswer: -21133230232033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from {h: 2, n: 6, z: 1, o: 6, c: 3, y: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (90\/25)\/(6\/80). Let s be 28\/k - 4\/(-6). Let r = 129\/4 - 32. Which is the closest to r? (a) 4 (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 7 + 4. Let p be 45\/10 - c\/2. Solve -y - 4 = 5*n - 1, p*n + 9 = 2*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -109. Suppose 15*t - 20 = 10*t. Calculate the remainder when p is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + -122. Let f = 354 + u. Which is the closest to -6? (a) 1\/3 (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7 = 0, 286*i - 46582 = -5*y + 282*i. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -0.000734449565257.\nAnswer: -0.500734449565257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-200))\/((-42)\/(-3220)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4736.234588 to one decimal place.\nAnswer: 4736.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1632.5 * -0.192\nAnswer: -313.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1385)\/7479)\/(5\/66)\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 - 711*f + 83*f + 7 - 6 - 2*f**3 in the form x*f**3 + y*f**2 + w*f + n and give w.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 6*a + 3 = 0. Is a\/(16\/(-606)) + (-2)\/(-16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/130*(2265\/(-30) - -4) - (11 + -3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 48 - 138. Let h = 122 - 116. What is the smallest common multiple of h and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 6*q - 2*q)*(16 - 16 - 12*q)*(-3*q**3 - 138*q**3 - q**3).\nAnswer: 5112*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**2*(n*n*n**(-3))\/n*(n\/n**(-1))**(1\/22) assuming n is positive.\nAnswer: n**(-32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15 and 15170.\nAnswer: 15169.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 8*c - 9. Let v be k(7). Let r be (3\/1)\/(12\/v). Let l = 74.1 - 74. What is the nearest to -1\/4 in l, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41837 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-12)\/c*c*c**1 assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3269*w**2*y**2 - 12*w**2 + w*y**2 + 2*y**2 - y + 18483 with respect to y.\nAnswer: 6538*w**2*y + 2*w*y + 4*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let z(n) = -18*n**2. Determine z(l(u)).\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 122015, -4\/9?\nAnswer: 122015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) + 3*sqrt(833))))) - sqrt(833)) + 4*(0 + sqrt(833)))**2 + 5.\nAnswer: 119957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5586036 or -5586035?\nAnswer: -5586036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:03 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003075 to seven dps.\nAnswer: -0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -44244, -44239, -44224, -44193, -44140, -44059, -43944?\n\"Answer: h**3 - h**2 + h - 44245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2523148 (base 12) to base 10\nAnswer: -7262984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 25 = -8*g, 2*w + 4*g = 24. Let z = 1 + w. Suppose 46 + 42 = 11*b. Solve -y - b = z*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -1\/3*n**3 - 11*n**2 + 19 + n. Let b be o(-22). Solve -2*c + r = b, 2*r = 3*c - 0 + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + p - 2. Let z(j) = j**2 + j - 2. Suppose 5*b = -3*f - 2, 4*b - 8*f + 7*f - 12 = 0. Let n be -4 + -5 - b - -6. Calculate n*z(u) + 4*v(u).\nAnswer: 3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26320)\/(-1128))\/((-7)\/(-6))*(-52)\/(-20)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**5\/10 - 7*j**4\/12 + 2*j**3\/3 + 3*j**2\/2 - 3*j. Is k(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 3*h - 17. Let y be j(6). Which is the nearest to y? (a) -0.5 (b) 0.1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:09 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.144 + -2.144. What is the nearest to -12 in w, 3, -42?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 2*p + 1, 0 - 14 = -2*c - 2*p. Let b(o) = -5*o + 9 - 2*o**2 - c*o + o**2 - 18. What is b(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 - -559. Suppose 2*f + f - o = -2*a, 0 = -5*f - 3*a + 511. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2598 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -51. Let c be ((-14)\/4)\/7*(-4)\/(-1). Let d = c - -42. Calculate the greatest common divisor of f and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 229 + 566 = 103*h - 77 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 903700.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -503401*z**6 - z**4 - 8839988*z**2 wrt z.\nAnswer: -60408120*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(117)*-4*5.\nAnswer: 3 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)\/(k*((k\/k**(-1))\/k)\/k))\/((((k\/(k\/(k\/(k\/k**(2\/9)))*k)*k)\/k)\/k)\/k*k\/(k\/k**(-5\/3))))\/(k**(2\/7)\/k**8)**(-4\/3) assuming k is positive.\nAnswer: k**(-1661\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -242265228, -242265226, -242265224?\n\"Answer: 2*p - 242265230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 5*l**9\/252 - l**5\/3 - 51*l**2. Find the third derivative of r(x) wrt x.\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-40) - 118\/(-20)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 - 1\/3*x**3 - 31*x + 1\/12*x**4 - 3*x**2. Give h(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f + 3*z + 20, 0 = -3*z. Let v be 3*2\/(-12)*f. Solve 0 = v*o + 2 + 4 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -3 + (1 - -1). Suppose -3*y = 4*z - 76, 126 = 5*z - x*y - 0*y. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -k + 22, 3*k - 5*t - 9 = -23. Let c(u) = -3*u**2 - 5 - 3*u**2 - 3*u**k - u**3 + 4*u**2. Calculate c(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/20)\/(-3)*(-200)\/90.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620924.\nAnswer: 2, 155231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 7 - 5\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -4\/17, 0.3, 116, 0.4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 731*c**4 - 182.\nAnswer: 2924*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -41?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7155*i**3 - 626*i**2 + 8*i - 2?\nAnswer: -42930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109b (base 12) to base 2.\nAnswer: 11100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22.17 + -22. Let r = -8.17 + b. Let q = -8.1 - r. Sort q, -1, -0.4 in descending order.\nAnswer: q, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -449843997\/4385 + 102587. Is s at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*w + 3*w + 82 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88) + 1*sqrt(88))*-6) + sqrt(88))\/sqrt(8) - (1*sqrt(132)*4)\/(-6*sqrt(192)))*-4.\nAnswer: -1262*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 2724 - 2754. Factor 2\/5*a**3 + 0*a + 2\/5*a**2 + 0 - 2\/5*a**k - 2\/5*a**4.\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 3. Suppose 0 = o + o - 8. Let n = 62.73 - 62.77. What is the nearest to o in n, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/28 + 3\/28. Let y(k) be the first derivative of k**3 - 3*k + 9 - i*k**2 + 3\/4*k**4. Factor y(d).\nAnswer: 3*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(1 - 1 + n) + 3*n - 11 + 11)*(-4 - 2 + 4).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1377\/1137541 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:56 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiitiyiytytyiyyyyi. What is prob of picking 4 y?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5748028 divided by -338.\nAnswer: 17006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/8 and 151\/2508.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:50 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390176 and 7124.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o\/(o*o**(3\/5)*o*o))*o)\/o*o**(-2\/3))\/(o*o**(2\/9))**(-46) assuming o is positive.\nAnswer: o**(2572\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -o - 8*z + 82, -82 = -o + 2*z. Calculate the remainder when o is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.8, -0.057, 56221?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 323907, 647827, 971773, 1295757, 1619791, 1943887, 2268057, 2592313?\n\"Answer: 2*a**3 + a**2 + 323903*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1900) - -6*(sqrt(1900) - (sqrt(1900) + -1)))**2 + (1 + 2*-2*sqrt(1900) + sqrt(1900))**2.\nAnswer: 60*sqrt(19) + 19037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46784 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1112 - -1112.000001691. Round g to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paf when three letters picked without replacement from {f: 1, a: 1, z: 1, q: 1, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 478 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, -3, 1, 6, 224, -10, 2 in decreasing order.\nAnswer: 244, 224, 6, 2, 1, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + 53. Let l(h) = -11*h**2 + 2 + 3*h**2 + 0*h**3 - 15*h - h**n. Let q be l(-5). Solve g = -q*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 162 and 23.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 1700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:54 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/2*(-4)\/6*7\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 14*h - 4. Let c(q) = 2*q - 6. What is the smallest common multiple of c(5) and z(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 880 = 83*q + 151 - 516 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2764388158 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Sort -5, t, -2\/5, -2\/9 in ascending order.\nAnswer: -5, -2\/5, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 + 116. Calculate the remainder when 90 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(70)\/(5*sqrt(30)\/sqrt(3)))**2 + sqrt(77)\/(sqrt(22)\/sqrt(2)*1).\nAnswer: sqrt(7) + 82\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 2*u + 6 = 10*r, -u = 2*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 - 3*t**3 + 0*t**3 + (13*t**2 - 3*t**2 + t**2)*(t + t - 4*t))*(3 + 2 - 3) to the form a*t**2 + q + y*t + w*t**3 and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.53, 3, -0.776, 2\/9, 30\/17 in decreasing order.\nAnswer: 3, 30\/17, 0.53, 2\/9, -0.776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 5. Let f be t(-9). Suppose l - 2*l + f = 0. Suppose -7*a**2 - 2 + 5*a + l*a + 4*a**2 - 4 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 11*v - 10. Let i be k(-11). Let n = -8 - i. Solve -w = 2*b - 5*b, -4*b = n*w - 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -285200000 to the nearest 1000000.\nAnswer: -285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 19*k**2 + 14*k + 67. What is l(18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 5. Let b(s) = -5*s**2 - 33*s - 57. Let m(q) = -b(q) + 4*z(q). Give m(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/8 - 49*m**2 - 787*m\/8 - 197\/4.\nAnswer: (m - 394)*(m + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12959*k - 11553 with respect to k.\nAnswer: 12959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/20 + 157*r**4\/4 - 313*r**3\/2 - 157*r**2 - 3*r + 2. Factor h(z).\nAnswer: -3*(z - 313)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/4 - -3 - -4. Let q be 1\/(-4 + h - 0). Let i be ((-264)\/84)\/(q\/7). Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 111000011001001?\nAnswer: -111000011000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1411162*z + 376607 wrt z?\nAnswer: -1411162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o - 5*f + 54, 0 = 5*o - 3*f - 49. Let z = 6 + o. Suppose m = -j + 3, -2*j + j - z = -3*m. Solve -5*v = -4*s + m, -2*v + 6*v = -s - 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c0 (base 13) to base 11\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8\/3)*t*(t*t**(-2\/17)*t)\/t*t)**(-26))**(-16) assuming t is positive.\nAnswer: t**(4576\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 76*m - 2*m**2 - 147*m + 71*m. Let a(f) be the first derivative of -195*f**2\/2 + 19. Give c(a(v)).\nAnswer: -76050*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13224013 (base 5) in base 9?\nAnswer: 222406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177778.\nAnswer: 2, 1051, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 22*v**2 - 222*v + 27. Let a be t(10). Solve -29*b = -a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5554*a**3 + 8*a**2 - 14*a - 20. Let p be l(-5). Round p to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 35 = -3*p, 41*p = 2*v + 39*p + 14. Sort 6, 1, v, 5, 2.\nAnswer: v, 1, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5816481?\nAnswer: 5\/5816481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1 - (-1 - 0). Let g = r + 1. Factor 2*d**2 + 4*d - 4*d**2 + 0*d**g.\nAnswer: -2*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 8*v + 22. Let z be f(-5). Let a = 63 - z. Solve -5*q + 1 = a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*x**6 + 11*x**4 - 2*x**2 + 73.\nAnswer: -3000*x**3 + 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -131000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1062747\/45)\/7 - 6\/(-30). Calculate the greatest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 15*y + 1. What is g(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 26*n - 1. Let p be -2*((-30)\/20)\/(-1). Calculate f(p).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in decades?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 13*q**2 - 18*q + 242. What is k(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-9)*(13\/((-2275)\/60))\/(57\/2793)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 5:52 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}